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13141532214 = 23231534311031
BaseRepresentation
bin11000011110100101…
…11101111000110110
31020220212010000011100
430033102331320312
5203403213012324
610012004350530
7643442115666
oct141722757066
936825100140
1013141532214
115634063728
1226690a5446
1313157c7585
148c948c1a6
1551daac4c9
hex30f4bde36

13141532214 has 96 divisors (see below), whose sum is σ = 30044971008. Its totient is φ = 4145544000.

The previous prime is 13141532203. The next prime is 13141532221. The reversal of 13141532214 is 41223514131.

13141532214 is a `hidden beast` number, since 1 + 3 + 1 + 415 + 32 + 214 = 666.

It is a congruent number.

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, 12745879 + ... + 12746909.

It is an arithmetic number, because the mean of its divisors is an integer number (312968448).

Almost surely, 213141532214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13141532214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15022485504).

13141532214 is an abundant number, since it is smaller than the sum of its proper divisors (16903438794).

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

13141532214 is a wasteful number, since it uses less digits than its factorization.

13141532214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1554 (or 1551 counting only the distinct ones).

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

The spelling of 13141532214 in words is "thirteen billion, one hundred forty-one million, five hundred thirty-two thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 31 53 62 93 106 159 186 279 318 431 477 558 862 954 1031 1293 1643 2062 2586 3093 3286 3879 4929 6186 7758 9279 9858 13361 14787 18558 22843 26722 29574 31961 40083 45686 54643 63922 68529 80166 95883 109286 120249 137058 163929 191766 205587 240498 287649 327858 411174 444361 491787 575298 708133 888722 983574 1333083 1416266 1693933 2124399 2666166 3387866 3999249 4248798 5081799 6373197 7998498 10163598 12746394 13775191 15245397 23551133 27550382 30490794 41325573 47102266 70653399 82651146 123976719 141306798 211960197 247953438 423920394 730085123 1460170246 2190255369 4380510738 6570766107 13141532214