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315140251125 = 3537616313119
BaseRepresentation
bin1001001010111111101…
…00101001110111110101
31010010102122222110210210
410211133310221313311
520130401401014000
6400435021140033
731524316636230
oct4453764516765
91103378873723
10315140251125
11111717502037
12510ab9ba619
132394374239b
1411377c34417
1582e6979350
hex495fd29df5

315140251125 has 128 divisors (see below), whose sum is σ = 610292367360. Its totient is φ = 141432480000.

The previous prime is 315140251051. The next prime is 315140251157. The reversal of 315140251125 is 521152041513.

It is not a de Polignac number, because 315140251125 - 216 = 315140185589 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 315140251092 and 315140251101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 101037316 + ... + 101040434.

It is an arithmetic number, because the mean of its divisors is an integer number (4767909120).

Almost surely, 2315140251125 is an apocalyptic number.

315140251125 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

315140251125 is a deficient number, since it is larger than the sum of its proper divisors (295152116235).

315140251125 is a wasteful number, since it uses less digits than its factorization.

315140251125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3836 (or 3826 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 30.

Adding to 315140251125 its reverse (521152041513), we get a palindrome (836292292638).

The spelling of 315140251125 in words is "three hundred fifteen billion, one hundred forty million, two hundred fifty-one thousand, one hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 61 75 105 125 175 183 305 375 427 525 631 875 915 1281 1525 1893 2135 2625 3119 3155 4417 4575 6405 7625 9357 9465 10675 13251 15595 15775 21833 22085 22875 32025 38491 46785 47325 53375 65499 66255 77975 78875 109165 110425 115473 160125 190259 192455 233925 236625 269437 327495 331275 389875 545825 552125 570777 577365 808311 951295 962275 1169625 1331813 1347185 1637475 1656375 1968089 2729125 2853885 2886825 3995439 4041555 4756475 4811375 5904267 6659065 6735925 8187375 9840445 13776623 14269425 14434125 19977195 20207775 23782375 29521335 33295325 33679625 41329869 49202225 68883115 71347125 99885975 101038875 120053429 147606675 166476625 206649345 246011125 344415575 360160287 499429875 600267145 738033375 840374003 1033246725 1722077875 1800801435 2521122009 3001335725 4201870015 5166233625 9004007175 12605610045 15006678625 21009350075 45020035875 63028050225 105046750375 315140251125