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42336255156 = 22313794577517
BaseRepresentation
bin100111011011011011…
…111111110010110100
311001021111010121002020
4213123123333302310
51143201040131111
631240552513140
73026063142216
oct473333776264
9131244117066
1042336255156
1116a55792128
1282563ab7b0
133cb90ac870
1420989965b6
15117bb6a906
hex9db6ffcb4

42336255156 has 96 divisors (see below), whose sum is σ = 107980131840. Its totient is φ = 12831796224.

The previous prime is 42336255131. The next prime is 42336255161. The reversal of 42336255156 is 65155263324.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5628310 + ... + 5635826.

It is an arithmetic number, because the mean of its divisors is an integer number (1124793040).

Almost surely, 242336255156 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42336255156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53990065920).

42336255156 is an abundant number, since it is smaller than the sum of its proper divisors (65643876684).

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

42336255156 is a wasteful number, since it uses less digits than its factorization.

42336255156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8073 (or 8071 counting only the distinct ones).

The product of its digits is 648000, while the sum is 42.

The spelling of 42336255156 in words is "forty-two billion, three hundred thirty-six million, two hundred fifty-five thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 79 156 158 237 316 457 474 914 948 1027 1371 1828 2054 2742 3081 4108 5484 5941 6162 7517 11882 12324 15034 17823 22551 23764 30068 35646 36103 45102 71292 72206 90204 97721 108309 144412 195442 216618 293163 390884 433236 469339 586326 593843 938678 1172652 1187686 1408017 1781529 1877356 2375372 2816034 3435269 3563058 5632068 6870538 7126116 7719959 10305807 13741076 15439918 20611614 23159877 30879836 41223228 44658497 46319754 89316994 92639508 133975491 178633988 267950982 271386251 535901964 542772502 814158753 1085545004 1628317506 3256635012 3528021263 7056042526 10584063789 14112085052 21168127578 42336255156