Search a number
-
+
104394902404 = 22132174432
BaseRepresentation
bin110000100111001101…
…0111100101110000100
3100222110110102111221211
41201032122330232010
53202300043334104
6115543001021204
710354001013022
oct1411632745604
9328413374854
10104394902404
1140301223351
1218295784804
139ac91a9400
1450a4a0d712
152aaeeb7e04
hex184e6bcb84

104394902404 has 135 divisors (see below), whose sum is σ = 215190979353. Its totient is φ = 44293406976.

The previous prime is 104394902369. The next prime is 104394902471. The reversal of 104394902404 is 404209493401.

The square root of 104394902404 is 323102.

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

It can be written as a sum of positive squares in 7 ways, for example, as 31844402500 + 72550499904 = 178450^2 + 269352^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2427788407 + ... + 2427788449.

Almost surely, 2104394902404 is an apocalyptic number.

104394902404 is the 323102-nd square number.

It is an amenable number.

104394902404 is an abundant number, since it is smaller than the sum of its proper divisors (110796076949).

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

104394902404 is an frugal number, since it uses more digits than its factorization.

104394902404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 40.

The spelling of 104394902404 in words is "one hundred four billion, three hundred ninety-four million, nine hundred two thousand, four hundred four".

Divisors: 1 2 4 13 17 26 34 43 52 68 86 169 172 221 289 338 442 559 578 676 731 884 1118 1156 1462 1849 2236 2873 2924 3698 3757 4913 5746 7267 7396 7514 9503 9826 11492 12427 14534 15028 19006 19652 24037 24854 29068 31433 38012 48074 48841 49708 62866 63869 83521 96148 97682 123539 125732 127738 161551 167042 195364 211259 247078 255476 312481 323102 334084 408629 422518 494156 534361 624962 646204 817258 830297 845036 1068722 1085773 1249924 1634516 1660594 2100163 2137444 2171546 2746367 3321188 3591403 4200326 4343092 5312177 5492734 6946693 7182806 8400652 9084137 10624354 10985468 13893386 14115049 14365612 18168274 21248708 27786772 28230098 35702771 36336548 46688239 56460196 71405542 90307009 93376478 118093781 142811084 154430329 180614018 186752956 236187562 308860658 361228036 472375124 606947107 617721316 1213894214 1535219153 2007594277 2427788428 3070438306 4015188554 6140876612 8030377108 26098725601 52197451202 104394902404