Search a number
-
+
461240432404 = 224153612932969
BaseRepresentation
bin1101011011001000001…
…00100111011100010100
31122002112122020200002221
412231210010213130110
530024110022314104
6551520235112124
745215652662503
oct6554404473424
91562478220087
10461240432404
1116867a221704
12754845a2644
13346580782ab
14184776ac83a
15bee7ec1c54
hex6b64127714

461240432404 has 96 divisors (see below), whose sum is σ = 859481552160. Its totient is φ = 216317337600.

The previous prime is 461240432399. The next prime is 461240432417. The reversal of 461240432404 is 404234042164.

It can be written as a sum of positive squares in 16 ways, for example, as 301038768900 + 160201663504 = 548670^2 + 400252^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 461240432404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155350632 + ... + 155353600.

It is an arithmetic number, because the mean of its divisors is an integer number (8952932835).

Almost surely, 2461240432404 is an apocalyptic number.

It is an amenable number.

461240432404 is a deficient number, since it is larger than the sum of its proper divisors (398241119756).

461240432404 is a wasteful number, since it uses less digits than its factorization.

461240432404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3421 (or 3419 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 34.

Adding to 461240432404 its reverse (404234042164), we get a palindrome (865474474568).

The spelling of 461240432404 in words is "four hundred sixty-one billion, two hundred forty million, four hundred thirty-two thousand, four hundred four".

Divisors: 1 2 4 41 53 61 82 106 122 164 212 244 293 586 1172 2173 2501 2969 3233 4346 5002 5938 6466 8692 10004 11876 12013 12932 15529 17873 24026 31058 35746 48052 62116 71492 121729 132553 157357 181109 243458 265106 314714 362218 486916 530212 629428 636689 724436 732793 869917 947269 1273378 1465586 1739834 1894538 2546756 2931172 3479668 3789076 6451637 7425469 9598777 12903274 14850938 19197554 25806548 29701876 35666597 38395108 38838029 46105601 53064937 71333194 77676058 92211202 106129874 142666388 155352116 184422404 212259748 393549857 787099714 1574199428 1890329641 2175662417 2812441661 3780659282 4351324834 5624883322 7561318564 8702649668 11249766644 115310108101 230620216202 461240432404