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245024252004141 = 32375979281561797
BaseRepresentation
bin110111101101100100100111…
…100000001000011100101101
31012010120002102102002122200200
4313231210213200020130231
5224103434132003113031
62225042330514544113
7102416263244644101
oct6755444740103455
91163502372078620
10245024252004141
117108822453a605
1223593412298039
13a6948c31ab8bc
14447134675d901
151d4d99a69b8e6
hexded92780872d

245024252004141 has 96 divisors (see below), whose sum is σ = 375662187763200. Its totient is φ = 153713857489920.

The previous prime is 245024252004139. The next prime is 245024252004151. The reversal of 245024252004141 is 141400252420542.

245024252004141 is a `hidden beast` number, since 2 + 4 + 50 + 2 + 4 + 2 + 520 + 0 + 41 + 41 = 666.

245024252004141 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 245024252004141 - 21 = 245024252004139 is a prime.

It is a super-2 number, since 2×2450242520041412 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 245024252004096 and 245024252004105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245024252004151) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 435862855 + ... + 436424651.

It is an arithmetic number, because the mean of its divisors is an integer number (3913147789200).

Almost surely, 2245024252004141 is an apocalyptic number.

It is an amenable number.

245024252004141 is a deficient number, since it is larger than the sum of its proper divisors (130637935759059).

245024252004141 is a wasteful number, since it uses less digits than its factorization.

245024252004141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562259 (or 562256 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

The spelling of 245024252004141 in words is "two hundred forty-five trillion, twenty-four billion, two hundred fifty-two million, four thousand, one hundred forty-one".

Divisors: 1 3 9 37 59 79 111 177 237 281 333 531 711 843 2183 2529 2923 4661 6549 8769 10397 13983 16579 19647 22199 26307 31191 41949 49737 66597 93573 149211 172457 199791 517371 561797 613423 821363 1309741 1552113 1685391 1840269 2464089 3929223 5056173 5520807 7392267 11787669 20786489 33146023 44381963 48460417 62359467 99438069 133145889 145381251 157864957 187078401 298314207 399437667 436143753 473594871 1226402851 1420784613 1642132631 2618535817 3679208553 4926397893 5841003409 7855607451 9314032463 11037625659 12471331603 14779193679 17523010227 23566822353 27942097389 37413994809 52569030681 83826292167 96885825229 112241984427 290657475687 344619201131 461439269311 735808564577 871972427061 1033857603393 1384317807933 2207425693731 3101572810179 4152953423799 6622277081193 27224916889349 81674750668047 245024252004141