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139812427225 = 52172532832
BaseRepresentation
bin1000001000110101111…
…0000101010111011001
3111100212202202012021101
42002031132011113121
54242313440132400
6144121241311401
713046453010622
oct2021536052731
9440782665241
10139812427225
1154326519a19
122311aa95561
1310251a692a3
146aa4762a49
15398451e56a
hex208d7855d9

139812427225 has 81 divisors (see below), whose sum is σ = 189994523383. Its totient is φ = 102039907840.

The previous prime is 139812427201. The next prime is 139812427243. The reversal of 139812427225 is 522724218931.

It is a happy number.

The square root of 139812427225 is 373915.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 21509448921 + 118302978304 = 146661^2 + 343952^2 .

It is not a de Polignac number, because 139812427225 - 223 = 139804038617 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1684487034 + ... + 1684487116.

Almost surely, 2139812427225 is an apocalyptic number.

139812427225 is the 373915-th square number.

139812427225 is the 186958-th centered octagonal number.

It is an amenable number.

139812427225 is a deficient number, since it is larger than the sum of its proper divisors (50182096158).

139812427225 is an frugal number, since it uses more digits than its factorization.

139812427225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 158 counting only the distinct ones).

The product of its digits is 483840, while the sum is 46.

The spelling of 139812427225 in words is "one hundred thirty-nine billion, eight hundred twelve million, four hundred twenty-seven thousand, two hundred twenty-five".

Divisors: 1 5 17 25 53 83 85 265 289 415 425 901 1325 1411 1445 2075 2809 4399 4505 6889 7055 7225 14045 15317 21995 22525 23987 34445 35275 47753 70225 74783 76585 109975 117113 119935 172225 233147 238765 365117 373915 382925 585565 599675 811801 1165735 1193825 1271311 1825585 1869575 1990921 2927825 3963499 4059005 5828675 6206989 6356555 9127925 9954605 19351201 19817495 20295025 31034945 31782775 49773025 67379483 96756005 99087475 105518813 155174725 328970417 336897415 483780025 527594065 1644852085 1684487075 2637970325 5592497089 8224260425 27962485445 139812427225