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14290922632896 = 263473132192503
BaseRepresentation
bin1100111111110101110101…
…0111011111011011000000
31212121012100222011221210000
43033331131113133123000
53333120302143223041
650221054220440000
73003325246053000
oct317753527373300
955535328157700
1014290922632896
11460a8232986a8
1217298150a9000
137c8822284700
14375981bba000
1519bb166ebbb6
hexcff5d5df6c0

14290922632896 has 1680 divisors, whose sum is σ = 56333209152000. Its totient is φ = 3569237747712.

The previous prime is 14290922632859. The next prime is 14290922632907. The reversal of 14290922632896 is 69823622909241.

14290922632896 is a `hidden beast` number, since 1 + 4 + 2 + 9 + 0 + 92 + 263 + 289 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5709516381 + ... + 5709518883.

Almost surely, 214290922632896 is an apocalyptic number.

14290922632896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14290922632896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28166604576000).

14290922632896 is an abundant number, since it is smaller than the sum of its proper divisors (42042286519104).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14290922632896 is a wasteful number, since it uses less digits than its factorization.

14290922632896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2593 (or 2547 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 63.

The spelling of 14290922632896 in words is "fourteen trillion, two hundred ninety billion, nine hundred twenty-two million, six hundred thirty-two thousand, eight hundred ninety-six".