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420125114525031 = 355021344335777
BaseRepresentation
bin101111110000110100000000…
…0001101100110010101100111
32001002112120100120210000200000
41133201220000031212111213
5420031312213304300111
64045310451351352343
7154331015662613316
oct13741500015462547
92032476316700600
10420125114525031
11111957073568143
123b15308a9826b3
1315056822505606
1475a62421a227d
153388641e94c56
hex17e1a00366567

420125114525031 has 24 divisors (see below), whose sum is σ = 629448556870224. Its totient is φ = 280027626474240.

The previous prime is 420125114525027. The next prime is 420125114525203. The reversal of 420125114525031 is 130525411521024.

420125114525031 is a `hidden beast` number, since 4 + 2 + 0 + 1 + 2 + 5 + 1 + 145 + 2 + 503 + 1 = 666.

It is not a de Polignac number, because 420125114525031 - 22 = 420125114525027 is a prime.

It is a super-2 number, since 2×4201251145250312 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420125114527031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 170947786 + ... + 173387991.

It is an arithmetic number, because the mean of its divisors is an integer number (26227023202926).

Almost surely, 2420125114525031 is an apocalyptic number.

420125114525031 is a deficient number, since it is larger than the sum of its proper divisors (209323442345193).

420125114525031 is an equidigital number, since it uses as much as digits as its factorization.

420125114525031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344340813 (or 344340801 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 420125114525031 in words is "four hundred twenty trillion, one hundred twenty-five billion, one hundred fourteen million, five hundred twenty-five thousand, thirty-one".

Divisors: 1 3 9 27 81 243 5021 15063 45189 135567 406701 1220103 344335777 1033007331 3099021993 9297065979 27891197937 83673593811 1728909936317 5186729808951 15560189426853 46680568280559 140041704841677 420125114525031