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421739842225 = 521329721032
BaseRepresentation
bin1100010001100011010…
…01110100101010110001
31111022120202220210002111
412020301221310222301
523402210344422400
6521424500245321
742320051340142
oct6106151645261
91438522823074
10421739842225
1115294a167659
126989b9a0841
1330a01602300
14165ab581ac9
15ae852883ba
hex6231a74ab1

421739842225 has 81 divisors (see below), whose sum is σ = 577786489443. Its totient is φ = 305235440640.

The previous prime is 421739842213. The next prime is 421739842231. The reversal of 421739842225 is 522248937124.

The square root of 421739842225 is 649415.

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 404789885361 + 16949956864 = 636231^2 + 130192^2 .

It is not a de Polignac number, because 421739842225 - 211 = 421739840177 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, 4094561524 + ... + 4094561626.

Almost surely, 2421739842225 is an apocalyptic number.

421739842225 is the 649415-th square number.

421739842225 is the 324708-th centered octagonal number.

It is an amenable number.

421739842225 is a deficient number, since it is larger than the sum of its proper divisors (156046647218).

421739842225 is an equidigital number, since it uses as much as digits as its factorization.

421739842225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 218 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 49.

Multiplying 421739842225 by its sum of digits (49), we get a square (20665252269025 = 45459052).

The spelling of 421739842225 in words is "four hundred twenty-one billion, seven hundred thirty-nine million, eight hundred forty-two thousand, two hundred twenty-five".

Divisors: 1 5 13 25 65 97 103 169 325 485 515 845 1261 1339 2425 2575 4225 6305 6695 9409 9991 10609 16393 17407 31525 33475 47045 49955 53045 81965 87035 122317 129883 137917 235225 249775 265225 409825 435175 611585 649415 689585 969127 1029073 1590121 1688479 1792921 3057925 3247075 3447925 4845635 5145365 7950605 8442395 8964605 12598651 13377949 24228175 25726825 39753025 42211975 44823025 62993255 66889745 99820081 163782463 173913337 314966275 334448725 499100405 818912315 869566685 1297661053 2495502025 4094561575 4347833425 6488305265 16869593689 32441526325 84347968445 421739842225