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394026121225 = 5211210121132
BaseRepresentation
bin1011011101111011100…
…10010111100000001001
31101200001100122212220101
411232331302113200021
522423431141334400
6501002455125401
740316222524552
oct5567562274011
91350040585811
10394026121225
11142118522900
1264446673861
132b205ab9c29
14150dca33329
15a3b222056a
hex5bbdc97809

394026121225 has 81 divisors (see below), whose sum is σ = 547260422527. Its totient is φ = 281216320000.

The previous prime is 394026121211. The next prime is 394026121243. The reversal of 394026121225 is 522121620493.

The square root of 394026121225 is 627715.

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 276662324169 + 117363797056 = 525987^2 + 342584^2 .

It is not a de Polignac number, because 394026121225 - 215 = 394026088457 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, 3486956769 + ... + 3486956881.

Almost surely, 2394026121225 is an apocalyptic number.

394026121225 is the 627715-th square number.

394026121225 is the 313858-th centered octagonal number.

It is an amenable number.

394026121225 is a deficient number, since it is larger than the sum of its proper divisors (153234301302).

394026121225 is a wasteful number, since it uses less digits than its factorization.

394026121225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The spelling of 394026121225 in words is "three hundred ninety-four billion, twenty-six million, one hundred twenty-one thousand, two hundred twenty-five".

Divisors: 1 5 11 25 55 101 113 121 275 505 565 605 1111 1243 2525 2825 3025 5555 6215 10201 11413 12221 12769 13673 27775 31075 51005 57065 61105 63845 68365 112211 125543 140459 255025 285325 305525 319225 341825 561055 627715 702295 1152713 1234321 1289669 1380973 1545049 2805275 3138575 3511475 5763565 6171605 6448345 6904865 7725245 12679843 14186359 28817825 30858025 32241725 34524325 38626225 63399215 70931795 130256569 139478273 156049949 316996075 354658975 651282845 697391365 780249745 1432822259 3256414225 3486956825 3901248725 7164111295 15761044849 35820556475 78805224245 394026121225