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10042042304 = 26789251857
BaseRepresentation
bin10010101101000110…
…10110011111000000
3221220211212121022202
421112203112133000
5131031230323204
64340243452332
7503564644160
oct112643263700
927824777282
1010042042304
114293520018
121b430870a8
13c4061a788
146b39885a0
153db914e1e
hex2568d67c0

10042042304 has 56 divisors (see below), whose sum is σ = 23029895520. Its totient is φ = 4255358976.

The previous prime is 10042042291. The next prime is 10042042331. The reversal of 10042042304 is 40324024001.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×100420423042 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86057 + ... + 165800.

Almost surely, 210042042304 is an apocalyptic number.

10042042304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10042042304 is an abundant number, since it is smaller than the sum of its proper divisors (12987853216).

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

10042042304 is an equidigital number, since it uses as much as digits as its factorization.

10042042304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251965 (or 251955 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 10042042304 its reverse (40324024001), we get a palindrome (50366066305).

The spelling of 10042042304 in words is "ten billion, forty-two million, forty-two thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 89 112 178 224 356 448 623 712 1246 1424 2492 2848 4984 5696 9968 19936 39872 251857 503714 1007428 1762999 2014856 3525998 4029712 7051996 8059424 14103992 16118848 22415273 28207984 44830546 56415968 89661092 112831936 156906911 179322184 313813822 358644368 627627644 717288736 1255255288 1434577472 2510510576 5021021152 10042042304