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42314861092 = 22717239431863
BaseRepresentation
bin100111011010001010…
…011000101000100100
311001012222212122221111
4213122022120220210
51143130101023332
631234510154404
73025413245650
oct473212305044
9131188778844
1042314861092
1116a446aa489
12824b1b2a04
133cb482ba5a
142095bc7a60
151179d41947
hex9da298a24

42314861092 has 96 divisors (see below), whose sum is σ = 90296156160. Its totient is φ = 16937679360.

The previous prime is 42314861033. The next prime is 42314861111. The reversal of 42314861092 is 29016841324.

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, 49031853 + ... + 49032715.

It is an arithmetic number, because the mean of its divisors is an integer number (940584960).

Almost surely, 242314861092 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 42314861092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45148078080).

42314861092 is an abundant number, since it is smaller than the sum of its proper divisors (47981295068).

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

42314861092 is a wasteful number, since it uses less digits than its factorization.

42314861092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1561 (or 1559 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The spelling of 42314861092 in words is "forty-two billion, three hundred fourteen million, eight hundred sixty-one thousand, ninety-two".

Divisors: 1 2 4 7 14 17 28 34 68 119 238 239 431 476 478 862 863 956 1673 1724 1726 3017 3346 3452 4063 6034 6041 6692 7327 8126 12068 12082 14654 14671 16252 24164 28441 29308 29342 51289 56882 58684 102578 102697 103009 113764 205156 205394 206018 206257 371953 410788 412036 412514 721063 743906 825028 1442126 1443799 1487812 1751153 2603671 2884252 2887598 3502306 3506369 5207342 5775196 6323201 7004612 7012738 10414684 12258071 12646402 14025476 24516142 24544583 25292804 44262407 49032284 49089166 88524814 88896767 98178332 177049628 177793534 355587068 622277369 1244554738 1511245039 2489109476 3022490078 6044980156 10578715273 21157430546 42314861092