N = int(input())

C = 0
ans = []

for X in range(1, 2 * 10 ** 6):
    Y = 2 * N // X
    if X * Y == 2 * N:
        L = (X - Y + 1) // 2
        R = (X + Y - 1) // 2
        if 0 < L <= R and R > 0:
            C += 1
            ans.append((1, L, R))

for e in range(2, 40):
    d = {0:0}
    rev = {0:0}
    for i in range(1, 10 ** 6 + 1):
        p = pow(i, e)
        if p > N:
            break

        p = d[i-1] + pow(i, e)
        d[i] = p
        rev[p] = i

    for l in range(1, 10 ** 6 + 1):
        p = pow(l, e)
        if p > N:
            break
        elif p == N:
            C += 1
            ans.append((e, l, l))
            break
        else:
            x = N + d[l-1]

            if x in rev:
                C += 1
                ans.append((e, l, rev[x]))

print(C)
ans.sort()
for a in ans:
    print(*a)