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315032404225 = 52711597693607
BaseRepresentation
bin1001001010110010110…
…01010000000100000001
31010010011011001021200011
410211121121100010001
520130141243413400
6400420205424521
731521540152620
oct4453131200401
91103134037604
10315032404225
11111671641070
125107b86b141
13239272b2056
141136779d6b7
1582dc2748ba
hex4959650101

315032404225 has 96 divisors (see below), whose sum is σ = 496068249600. Its totient is φ = 192750796800.

The previous prime is 315032404201. The next prime is 315032404241. The reversal of 315032404225 is 522404230513.

It is not a de Polignac number, because 315032404225 - 219 = 315031879937 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 87337372 + ... + 87340978.

It is an arithmetic number, because the mean of its divisors is an integer number (5167377600).

Almost surely, 2315032404225 is an apocalyptic number.

315032404225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

315032404225 is a deficient number, since it is larger than the sum of its proper divisors (181035845375).

315032404225 is a wasteful number, since it uses less digits than its factorization.

315032404225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4463 (or 4458 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 31.

Adding to 315032404225 its reverse (522404230513), we get a palindrome (837436634738).

The spelling of 315032404225 in words is "three hundred fifteen billion, thirty-two million, four hundred four thousand, two hundred twenty-five".

Divisors: 1 5 7 11 25 35 55 59 77 175 275 295 385 413 649 769 1475 1925 2065 3245 3607 3845 4543 5383 8459 10325 16225 18035 19225 22715 25249 26915 39677 42295 45371 59213 90175 113575 126245 134575 198385 211475 212813 226855 277739 296065 317597 499081 631225 991925 1064065 1134275 1388695 1480325 1489691 1587985 2340943 2495405 2773783 3493567 5320325 6943475 7448455 7939925 11704715 12477025 13868915 16386601 17467835 19416481 30511613 37242275 58523575 69344575 81933005 87339175 97082405 152558065 163653197 213581291 409665025 485412025 762790325 818265985 1067906455 1145572379 1800185167 4091329925 5339532275 5727861895 9000925835 12601296169 28639309475 45004629175 63006480845 315032404225