Search a number
-
+
123421123535104 = 2879131241193301
BaseRepresentation
bin11100000100000000111000…
…001110011110000100000000
3121011222221111022021110001101
4130010000320032132010000
5112134112430111110404
61114254514215144144
734665611332343563
oct3404007016360400
9534887438243041
10123421123535104
113636467172090a
1211a13a10675054
1353b373c9739b5
1422698857184da
15e406eee932a4
hex70403839e100

123421123535104 has 144 divisors (see below), whose sum is σ = 252427421917440. Its totient is φ = 60213104640000.

The previous prime is 123421123535081. The next prime is 123421123535251. The reversal of 123421123535104 is 401535321124321.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 638395254 + ... + 638588554.

It is an arithmetic number, because the mean of its divisors is an integer number (1752968207760).

Almost surely, 2123421123535104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123421123535104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126213710958720).

123421123535104 is an abundant number, since it is smaller than the sum of its proper divisors (129006298382336).

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

123421123535104 is a wasteful number, since it uses less digits than its factorization.

123421123535104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193768 (or 193754 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

Adding to 123421123535104 its reverse (401535321124321), we get a palindrome (524956444659425).

The spelling of 123421123535104 in words is "one hundred twenty-three trillion, four hundred twenty-one billion, one hundred twenty-three million, five hundred thirty-five thousand, one hundred four".

Divisors: 1 2 4 8 16 32 64 79 128 131 158 241 256 262 316 482 524 632 964 1048 1264 1928 2096 2528 3856 4192 5056 7712 8384 10112 10349 15424 16768 19039 20224 20698 30848 31571 33536 38078 41396 61696 63142 76156 82792 126284 152312 165584 193301 252568 304624 331168 386602 505136 609248 662336 773204 1010272 1218496 1324672 1546408 2020544 2436992 2494109 2649344 3092816 4041088 4873984 4988218 6185632 8082176 9976436 12371264 15270779 19952872 24742528 25322431 30541558 39905744 46585541 49485056 50644862 61083116 79811488 93171082 101289724 122166232 159622976 186342164 202579448 244332464 319245952 372684328 405158896 488664928 638491904 745368656 810317792 977329856 1490737312 1620635584 1954659712 2000472049 2981474624 3241271168 3680257739 3909319424 4000944098 5962949248 6102705871 6482542336 7360515478 8001888196 11925898496 12205411742 14721030956 16003776392 24410823484 29442061912 32007552784 48821646968 58884123824 64015105568 97643293936 117768247648 128030211136 195286587872 235536495296 256060422272 390573175744 471072990592 482113763809 512120844544 781146351488 942145981184 964227527618 1562292702976 1928455055236 3856910110472 7713820220944 15427640441888 30855280883776 61710561767552 123421123535104