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531134404431135 = 351714535437263657
BaseRepresentation
bin111100011000100000101110…
…1100000010000110100011111
32120122120221201212100100200120
41320301001131200100310133
51024104101230013244020
65121343435452530023
7216606123451202451
oct17061013540206437
92518527655310616
10531134404431135
1114426592172417a
124b6a14a5480913
1319a499b45c815b
1495230842682d1
1541610587b3740
hex1e3105d810d1f

531134404431135 has 64 divisors (see below), whose sum is σ = 900592466954112. Its totient is φ = 266375141277696.

The previous prime is 531134404431119. The next prime is 531134404431143.

531134404431135 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 531134404431135 - 24 = 531134404431119 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2014358227 + ... + 2014621883.

It is an arithmetic number, because the mean of its divisors is an integer number (14071757296158).

Almost surely, 2531134404431135 is an apocalyptic number.

531134404431135 is a deficient number, since it is larger than the sum of its proper divisors (369458062522977).

531134404431135 is a wasteful number, since it uses less digits than its factorization.

531134404431135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270572.

The product of its (nonzero) digits is 518400, while the sum is 42.

It can be divided in two parts, 53113440 and 4431135, that added together give a palindrome (57544575).

The spelling of 531134404431135 in words is "five hundred thirty-one trillion, one hundred thirty-four billion, four hundred four million, four hundred thirty-one thousand, one hundred thirty-five".

Divisors: 1 3 5 15 17 51 85 255 1453 4359 5437 7265 16311 21795 24701 27185 74103 81555 92429 123505 263657 277287 370515 462145 790971 1318285 1386435 3954855 4482169 7899961 13446507 22410845 23699883 39499805 67232535 118499415 134299337 383093621 402898011 671496685 1149280863 1433503109 1915468105 2014490055 4300509327 5746404315 6512591557 7167515545 19537774671 21502546635 24369552853 32562957785 73108658559 97688873355 121847764265 365543292795 2082880017377 6248640052131 10414400086885 31243200260655 35408960295409 106226880886227 177044801477045 531134404431135