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13141334130440 = 23519135531275823
BaseRepresentation
bin1011111100111011010010…
…0011010111111100001000
31201112022002011121020221012
42333032310203113330020
53210301423014133230
643541013501303052
72524300340031665
oct277166443277410
951468064536835
1013141334130440
11420723258287a
121582a66264a88
137442b7a753b9
143360888daa6c
1517bc8258b395
hexbf3b48d7f08

13141334130440 has 64 divisors (see below), whose sum is σ = 31126533292800. Its totient is φ = 4979502646272.

The previous prime is 13141334130377. The next prime is 13141334130451. The reversal of 13141334130440 is 4403143314131.

It is a junction number, because it is equal to n+sod(n) for n = 13141334130397 and 13141334130406.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9662369 + ... + 10938191.

It is an arithmetic number, because the mean of its divisors is an integer number (486352082700).

Almost surely, 213141334130440 is an apocalyptic number.

13141334130440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13141334130440 is an abundant number, since it is smaller than the sum of its proper divisors (17985199162360).

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

13141334130440 is a wasteful number, since it uses less digits than its factorization.

13141334130440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289406 (or 1289402 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 13141334130440 its reverse (4403143314131), we get a palindrome (17544477444571).

The spelling of 13141334130440 in words is "thirteen trillion, one hundred forty-one billion, three hundred thirty-four million, one hundred thirty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 13553 27106 54212 67765 108424 135530 257507 271060 515014 542120 1030028 1275823 1287535 2060056 2551646 2575070 5103292 5150140 6379115 10206584 10300280 12758230 24240637 25516460 48481274 51032920 96962548 121203185 193925096 242406370 484812740 969625480 17291229119 34582458238 69164916476 86456145595 138329832952 172912291190 328533353261 345824582380 657066706522 691649164760 1314133413044 1642666766305 2628266826088 3285333532610 6570667065220 13141334130440