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391131414025 = 521128321372
BaseRepresentation
bin1011011000100010011…
…11111011111000001001
31101101120121202112010121
411230101033323320021
522402014120222100
6455403331343241
740154413110142
oct5542117737011
91341517675117
10391131414025
11140972539500
1263979151b21
132ab64180331
1414d063d8ac9
15a29302951a
hex5b113fbe09

391131414025 has 81 divisors (see below), whose sum is σ = 543570180853. Its totient is φ = 278980662400.

The previous prime is 391131413999. The next prime is 391131414133. The reversal of 391131414025 is 520414131193.

The square root of 391131414025 is 625405.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1141155961 + 389990258064 = 33781^2 + 624492^2 .

It is a de Polignac number, because none of the positive numbers 2k-391131414025 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, 2854973757 + ... + 2854973893.

Almost surely, 2391131414025 is an apocalyptic number.

391131414025 is the 625405-th square number.

391131414025 is the 312703-rd centered octagonal number.

It is an amenable number.

391131414025 is a deficient number, since it is larger than the sum of its proper divisors (152438766828).

391131414025 is an equidigital number, since it uses as much as digits as its factorization.

391131414025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The spelling of 391131414025 in words is "three hundred ninety-one billion, one hundred thirty-one million, four hundred fourteen thousand, twenty-five".

Divisors: 1 5 11 25 55 83 121 137 275 415 605 685 913 1507 2075 3025 3425 4565 6889 7535 10043 11371 16577 18769 22825 34445 37675 50215 56855 75779 82885 93845 125081 172225 206459 251075 284275 378895 414425 469225 625405 833569 943793 1032295 1375891 1557827 1894475 2271049 3127025 4167845 4718965 5161475 6879455 7789135 10381723 11355245 17136097 20839225 23594825 34397275 38945675 51908615 56776225 85680485 114198953 129299641 188497067 259543075 428402425 570994765 646498205 942485335 1422296051 2854973825 3232491025 4712426675 7111480255 15645256561 35557401275 78226282805 391131414025