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123421438212444 = 2232171983127881431
BaseRepresentation
bin11100000100000001001010…
…111110110111100101011100
3121011222222022020101201012200
4130010001022332313211130
5112134114101140244234
61114255005335531500
734665622203143331
oct3404011276674534
9534888266351180
10123421438212444
113636481330a629
1211a13a99b29b90
1353b378cc102c8
1422698b542c988
15e4071c900d99
hex70404afb795c

123421438212444 has 144 divisors (see below), whose sum is σ = 351909239834880. Its totient is φ = 36240574210560.

The previous prime is 123421438212439. The next prime is 123421438212473. The reversal of 123421438212444 is 444212834124321.

123421438212444 is a `hidden beast` number, since 1 + 2 + 3 + 4 + 21 + 4 + 382 + 1 + 244 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 123421438212444.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62975592 + ... + 64905839.

It is an arithmetic number, because the mean of its divisors is an integer number (2443814165520).

Almost surely, 2123421438212444 is an apocalyptic number.

It is an amenable number.

123421438212444 is an abundant number, since it is smaller than the sum of its proper divisors (228487801622436).

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

123421438212444 is a wasteful number, since it uses less digits than its factorization.

123421438212444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127881560 (or 127881555 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 45.

The spelling of 123421438212444 in words is "one hundred twenty-three trillion, four hundred twenty-one billion, four hundred thirty-eight million, two hundred twelve thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 19 34 36 38 51 57 68 76 83 102 114 153 166 171 204 228 249 306 323 332 342 498 612 646 684 747 969 996 1292 1411 1494 1577 1938 2822 2907 2988 3154 3876 4233 4731 5644 5814 6308 8466 9462 11628 12699 14193 16932 18924 25398 26809 28386 50796 53618 56772 80427 107236 160854 241281 321708 482562 965124 127881431 255762862 383644293 511525724 767288586 1150932879 1534577172 2173984327 2301865758 2429747189 4347968654 4603731516 4859494378 6521952981 7289241567 8695937308 9718988756 10614158773 13043905962 14578483134 19565858943 21228317546 21867724701 26087811924 29156966268 31842476319 39131717886 41305702213 42456635092 43735449402 63684952638 78263435772 82611404426 87470898804 95527428957 123917106639 127369905276 165222808852 180440699141 191054857914 201669016687 247834213278 360881398282 371751319917 382109715828 403338033374 495668426556 541322097423 605007050061 721762796564 743502639834 806676066748 1082644194846 1210014100122 1487005279668 1623966292269 1815021150183 2165288389692 2420028200244 3247932584538 3428373283679 3630042300366 6495865169076 6856746567358 7260084600732 10285119851037 13713493134716 20570239702074 30855359553111 41140479404148 61710719106222 123421438212444