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31075362046344 = 233711101166491803
BaseRepresentation
bin1110001000011010010111…
…11010101000000110001000
311002000202221102002210121210
413010031023322220012020
513033114320140440334
6150031454011533120
76355056304101120
oct704151372500610
9132022842083553
1031075362046344
1199a0a94818880
12359a743a5a1a0
1314455179c4305
147960ac5d1c80
1538d51c7705e9
hex1c434bea8188

31075362046344 has 128 divisors (see below), whose sum is σ = 97817264686080. Its totient is φ = 7991606496000.

The previous prime is 31075362046307. The next prime is 31075362046357. The reversal of 31075362046344 is 44364026357013.

It is a happy number.

It is a super-2 number, since 2×310753620463442 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31075362046293 and 31075362046302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83059254 + ... + 83432549.

It is an arithmetic number, because the mean of its divisors is an integer number (764197380360).

Almost surely, 231075362046344 is an apocalyptic number.

It is an amenable number.

31075362046344 is an abundant number, since it is smaller than the sum of its proper divisors (66741902639736).

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

31075362046344 is a wasteful number, since it uses less digits than its factorization.

31075362046344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166491931 (or 166491927 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 48.

The spelling of 31075362046344 in words is "thirty-one trillion, seventy-five billion, three hundred sixty-two million, forty-six thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 101 132 154 168 202 231 264 303 308 404 462 606 616 707 808 924 1111 1212 1414 1848 2121 2222 2424 2828 3333 4242 4444 5656 6666 7777 8484 8888 13332 15554 16968 23331 26664 31108 46662 62216 93324 186648 166491803 332983606 499475409 665967212 998950818 1165442621 1331934424 1831409833 1997901636 2330885242 3496327863 3662819666 3995803272 4661770484 5494229499 6992655726 7325639332 9323540968 10988458998 12819868831 13985311452 14651278664 16815672103 21976917996 25639737662 27970622904 33631344206 38459606493 43953835992 50447016309 51279475324 67262688412 76919212986 100894032618 102558950648 117709704721 134525376824 153838425972 184972393133 201788065236 235419409442 307676851944 353129114163 369944786266 403576130472 470838818884 554917179399 706258228326 739889572532 941677637768 1109834358798 1294806751931 1412516456652 1479779145064 2219668717596 2589613503862 2825032913304 3884420255793 4439337435192 5179227007724 7768840511586 10358454015448 15537681023172 31075362046344