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121904029944 = 23341937267601
BaseRepresentation
bin111000110001000001…
…0111110000011111000
3102122122200221100120000
41301202002332003320
53444124412424234
6132000230233000
711543616105054
oct1614202760370
9378580840500
10121904029944
1147776712a94
121b7614b5760
13b6597cc2c8
145c8617cc64
15328720c899
hex1c620be0f8

121904029944 has 160 divisors (see below), whose sum is σ = 369130198800. Its totient is φ = 37455436800.

The previous prime is 121904029939. The next prime is 121904029993. The reversal of 121904029944 is 449920409121.

It is a happy number.

121904029944 is a `hidden beast` number, since 12 + 190 + 402 + 9 + 9 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 121904029944.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 321744 + ... + 589344.

Almost surely, 2121904029944 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 121904029944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184565099400).

121904029944 is an abundant number, since it is smaller than the sum of its proper divisors (247226168856).

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

121904029944 is a wasteful number, since it uses less digits than its factorization.

121904029944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267675 (or 267662 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 121904029944 in words is "one hundred twenty-one billion, nine hundred four million, twenty-nine thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 37 38 54 57 72 74 76 81 108 111 114 148 152 162 171 216 222 228 296 324 333 342 444 456 513 648 666 684 703 888 999 1026 1332 1368 1406 1539 1998 2052 2109 2664 2812 2997 3078 3996 4104 4218 5624 5994 6156 6327 7992 8436 11988 12312 12654 16872 18981 23976 25308 37962 50616 56943 75924 113886 151848 227772 267601 455544 535202 802803 1070404 1605606 2140808 2408409 3211212 4816818 5084419 6422424 7225227 9633636 9901237 10168838 14450454 15253257 19267272 19802474 20337676 21675681 28900908 29703711 30506514 39604948 40675352 43351362 45759771 57801816 59407422 61013028 79209896 86702724 89111133 91519542 118814844 122026056 137279313 173405448 178222266 183039084 188123503 237629688 267333399 274558626 356444532 366078168 376247006 411837939 534666798 549117252 564370509 712889064 752494012 802000197 823675878 1069333596 1098234504 1128741018 1504988024 1604000394 1647351756 1693111527 2138667192 2257482036 3208000788 3294703512 3386223054 4514964072 5079334581 6416001576 6772446108 10158669162 13544892216 15238003743 20317338324 30476007486 40634676648 60952014972 121904029944