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421325260416 = 27321721513749
BaseRepresentation
bin1100010000110001111…
…00010100011010000000
31111021111212210211202200
412020120330110122000
523400333231313131
6521315410313200
742303555423624
oct6103074243200
91437455724680
10421325260416
11152757142165
12697a4b88800
1330966756828
141656c4a3184
15ae5db942e6
hex6218f14680

421325260416 has 96 divisors (see below), whose sum is σ = 1283725462500. Its totient is φ = 132180467712.

The previous prime is 421325260393. The next prime is 421325260429. The reversal of 421325260416 is 614062523124.

421325260416 is a `hidden beast` number, since 4 + 2 + 1 + 32 + 5 + 2 + 604 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 366625406016 + 54699854400 = 605496^2 + 233880^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×4213252604162 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10737291 + ... + 10776458.

Almost surely, 2421325260416 is an apocalyptic number.

It is an amenable number.

421325260416 is an abundant number, since it is smaller than the sum of its proper divisors (862400202084).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

421325260416 is a wasteful number, since it uses less digits than its factorization.

421325260416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21513786 (or 21513771 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 421325260416 in words is "four hundred twenty-one billion, three hundred twenty-five million, two hundred sixty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 272 288 306 384 408 544 576 612 816 1088 1152 1224 1632 2176 2448 3264 4896 6528 9792 19584 21513749 43027498 64541247 86054996 129082494 172109992 193623741 258164988 344219984 365733733 387247482 516329976 688439968 731467466 774494964 1032659952 1097201199 1376879936 1462934932 1548989928 2065319904 2194402398 2753759872 2925869864 3097979856 3291603597 4130639808 4388804796 5851739728 6195959712 6583207194 8261279616 8777609592 11703479456 12391919424 13166414388 17555219184 23406958912 24783838848 26332828776 35110438368 46813917824 52665657552 70220876736 105331315104 140441753472 210662630208 421325260416