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31342142592 = 27344796311
BaseRepresentation
bin11101001100001000…
…110010010010000000
32222220021202210220000
4131030020302102000
51003142042030332
622222014520000
72156454550005
oct351410622200
988807683800
1031342142592
1112323905692
1260a8506000
132c56466c07
1417347b98ac
15c36890b7c
hex74c232480

31342142592 has 160 divisors (see below), whose sum is σ = 93483244800. Its totient is φ = 10423918080.

The previous prime is 31342142581. The next prime is 31342142603. The reversal of 31342142592 is 29524124313.

31342142592 is a `hidden beast` number, since 3 + 1 + 3 + 4 + 21 + 42 + 592 = 666.

It is an interprime number because it is at equal distance from previous prime (31342142581) and next prime (31342142603).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4963117 + ... + 4969427.

It is an arithmetic number, because the mean of its divisors is an integer number (584270280).

Almost surely, 231342142592 is an apocalyptic number.

31342142592 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31342142592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46741622400).

31342142592 is an abundant number, since it is smaller than the sum of its proper divisors (62141102208).

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

31342142592 is an equidigital number, since it uses as much as digits as its factorization.

31342142592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6816 (or 6795 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The spelling of 31342142592 in words is "thirty-one billion, three hundred forty-two million, one hundred forty-two thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 479 576 648 864 958 1152 1296 1437 1728 1916 2592 2874 3456 3832 4311 5184 5748 6311 7664 8622 10368 11496 12622 12933 15328 17244 18933 22992 25244 25866 30656 34488 37866 38799 45984 50488 51732 56799 61312 68976 75732 77598 91968 100976 103464 113598 137952 151464 155196 170397 183936 201952 206928 227196 275904 302928 310392 340794 403904 413856 454392 511191 551808 605856 620784 681588 807808 827712 908784 1022382 1211712 1241568 1363176 1655424 1817568 2044764 2423424 2483136 2726352 3022969 3635136 4089528 4966272 5452704 6045938 7270272 8179056 9068907 10905408 12091876 16358112 18137814 21810816 24183752 27206721 32716224 36275628 48367504 54413442 65432448 72551256 81620163 96735008 108826884 145102512 163240326 193470016 217653768 244860489 290205024 326480652 386940032 435307536 489720978 580410048 652961304 870615072 979441956 1160820096 1305922608 1741230144 1958883912 2611845216 3482460288 3917767824 5223690432 7835535648 10447380864 15671071296 31342142592