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31314540141 = 3417295031559
BaseRepresentation
bin11101001010011111…
…011111011001101101
32222211100211110110000
4131022133133121231
51003113010241031
622215151134513
72156001125253
oct351237373155
988740743400
1031314540141
111230a272545
12609b214439
132c508212c1
141730c725d3
15c3423c3e6
hex74a7df66d

31314540141 has 80 divisors (see below), whose sum is σ = 51372921600. Its totient is φ = 18920950272.

The previous prime is 31314540097. The next prime is 31314540143. The reversal of 31314540141 is 14104541313.

It is not a de Polignac number, because 31314540141 - 211 = 31314538093 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31314540143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20085520 + ... + 20087078.

It is an arithmetic number, because the mean of its divisors is an integer number (642161520).

Almost surely, 231314540141 is an apocalyptic number.

It is an amenable number.

31314540141 is a deficient number, since it is larger than the sum of its proper divisors (20058381459).

31314540141 is a wasteful number, since it uses less digits than its factorization.

31314540141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2120 (or 2111 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 31314540141 in words is "thirty-one billion, three hundred fourteen million, five hundred forty thousand, one hundred forty-one".

Divisors: 1 3 9 17 27 29 51 81 87 153 261 459 493 503 783 1377 1479 1509 1559 2349 4437 4527 4677 8551 13311 13581 14031 14587 25653 26503 39933 40743 42093 43761 45211 76959 79509 126279 131283 135633 230877 238527 247979 393849 406899 692631 715581 743937 768587 784177 1181547 1220697 2146743 2231811 2305761 2352531 3662091 6695433 6917283 7057593 13331009 20086299 20751849 21172779 22741133 39993027 62255547 63518337 68223399 119979081 204670197 359937243 386599261 614010591 1079811729 1159797783 1842031773 3479393349 10438180047 31314540141