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31400313121314 = 23231538312792217
BaseRepresentation
bin1110010001110111101001…
…00000100110101000100010
311010011211200210212202122200
413020323310200212220202
513103430320124340224
6150441034341114030
76420412013465334
oct710736440465042
9133154623782580
1031400313121314
11a006886174a95
1236317113b8916
13146a062b893b7
147a7ad73c3454
15396bda68a5c9
hex1c8ef4826a22

31400313121314 has 96 divisors (see below), whose sum is σ = 72415825058304. Its totient is φ = 9818281624320.

The previous prime is 31400313121277. The next prime is 31400313121337. The reversal of 31400313121314 is 41312131300413.

31400313121314 is a `hidden beast` number, since 3 + 1 + 4 + 0 + 0 + 31 + 312 + 1 + 314 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3941467 + ... + 8850750.

It is an arithmetic number, because the mean of its divisors is an integer number (754331511024).

Almost surely, 231400313121314 is an apocalyptic number.

31400313121314 is an abundant number, since it is smaller than the sum of its proper divisors (41015511936990).

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

31400313121314 is a wasteful number, since it uses less digits than its factorization.

31400313121314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12792392 (or 12792389 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 31400313121314 its reverse (41312131300413), we get a palindrome (72712444421727).

The spelling of 31400313121314 in words is "thirty-one trillion, four hundred billion, three hundred thirteen million, one hundred twenty-one thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 31 53 62 83 93 106 159 166 186 249 279 318 477 498 558 747 954 1494 1643 2573 3286 4399 4929 5146 7719 8798 9858 13197 14787 15438 23157 26394 29574 39591 46314 79182 136369 272738 409107 818214 1227321 2454642 12792217 25584434 38376651 76753302 115129953 230259906 396558727 677987501 793117454 1061754011 1189676181 1355975002 2033962503 2123508022 2379352362 3185262033 3569028543 4067925006 6101887509 6370524066 7138057086 9555786099 12203775018 19111572198 21017612531 32914374341 42035225062 56272962583 63052837593 65828748682 98743123023 112545925166 126105675186 168818887749 189158512779 197486246046 296229369069 337637775498 378317025558 506456663247 592458738138 1012913326494 1744461840073 3488923680146 5233385520219 10466771040438 15700156560657 31400313121314