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434042313401142 = 23237651715185287
BaseRepresentation
bin110001010110000100101100…
…1111010000110001100110110
32002220211001002002210001211100
41202230021121322012030312
5423342322124212314032
64135044141443150530
7160265344102323345
oct14254113172061466
92086731062701740
10434042313401142
11116332347500926
1240820384675446
1315826025bc2aa4
147927a8d85bb5c
15352a683a1697c
hex18ac259e86336

434042313401142 has 24 divisors (see below), whose sum is σ = 965841904596816. Its totient is φ = 140770480021776.

The previous prime is 434042313400963. The next prime is 434042313401159. The reversal of 434042313401142 is 241104313240434.

434042313401142 is a `hidden beast` number, since 4 + 3 + 4 + 0 + 4 + 231 + 3 + 401 + 14 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 434042313401097 and 434042313401106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 325857591978 + ... + 325857593309.

It is an arithmetic number, because the mean of its divisors is an integer number (40243412691534).

Almost surely, 2434042313401142 is an apocalyptic number.

434042313401142 is an abundant number, since it is smaller than the sum of its proper divisors (531799591195674).

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

434042313401142 is a wasteful number, since it uses less digits than its factorization.

434042313401142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651715185332 (or 651715185329 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 434042313401142 its reverse (241104313240434), we get a palindrome (675146626641576).

The spelling of 434042313401142 in words is "four hundred thirty-four trillion, forty-two billion, three hundred thirteen million, four hundred one thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 651715185287 1303430370574 1955145555861 3910291111722 5865436667583 11730873335166 24113461855619 48226923711238 72340385566857 144680771133714 217021156700571 434042313401142