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42155102304 = 2532720910269
BaseRepresentation
bin100111010000101000…
…111101000001100000
311000210212021002002100
4213100220331001200
51142313201233204
631211002050400
73021433312620
oct472050750140
9130725232070
1042155102304
1116972502327
1282057a9a00
133c8a6c4023
14207c8bc880
15116acd5a39
hex9d0a3d060

42155102304 has 72 divisors (see below), whose sum is σ = 137004089040. Its totient is φ = 12044314368.

The previous prime is 42155102233. The next prime is 42155102321. The reversal of 42155102304 is 40320155124.

42155102304 is a `hidden beast` number, since 421 + 5 + 5 + 1 + 0 + 230 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×421551023042 (a number of 22 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 11 ways as a sum of consecutive naturals, for example, 10453119 + ... + 10457150.

It is an arithmetic number, because the mean of its divisors is an integer number (1902834570).

Almost surely, 242155102304 is an apocalyptic number.

It is an amenable number.

42155102304 is an abundant number, since it is smaller than the sum of its proper divisors (94848986736).

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

42155102304 is a wasteful number, since it uses less digits than its factorization.

42155102304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20910292 (or 20910281 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 42155102304 its reverse (40320155124), we get a palindrome (82475257428).

The spelling of 42155102304 in words is "forty-two billion, one hundred fifty-five million, one hundred two thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 20910269 41820538 62730807 83641076 125461614 146371883 167282152 188192421 250923228 292743766 334564304 376384842 439115649 501846456 585487532 669128608 752769684 878231298 1003692912 1170975064 1317346947 1505539368 1756462596 2007385824 2341950128 2634693894 3011078736 3512925192 4683900256 5269387788 6022157472 7025850384 10538775576 14051700768 21077551152 42155102304