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119431065744 = 24323129292
BaseRepresentation
bin110111100111010100…
…1010111000010010000
3102102021100121202102100
41233032221113002100
53424043323100434
6130511010120400
711425420210644
oct1571651270220
9372240552370
10119431065744
11467177a5421
121b191280100
13b354377893
145acd968c24
153190072699
hex1bcea57090

119431065744 has 135 divisors (see below), whose sum is σ = 345743050809. Its totient is φ = 38484679680.

The previous prime is 119431065737. The next prime is 119431065757. The reversal of 119431065744 is 447560134911.

The square root of 119431065744 is 345588.

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

119431065744 is a `hidden beast` number, since 119 + 431 + 0 + 65 + 7 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2302848144 + 117128217600 = 47988^2 + 342240^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 119431065744.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 128558272 + ... + 128559200.

Almost surely, 2119431065744 is an apocalyptic number.

119431065744 is the 345588-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 119431065744

119431065744 is an abundant number, since it is smaller than the sum of its proper divisors (226311985065).

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

119431065744 is an frugal number, since it uses more digits than its factorization.

119431065744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1934 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 119431065744 in words is "one hundred nineteen billion, four hundred thirty-one million, sixty-five thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 929 961 1116 1488 1858 1922 2232 2787 2883 3716 3844 4464 5574 5766 7432 7688 8361 8649 11148 11532 14864 15376 16722 17298 22296 23064 28799 33444 34596 44592 46128 57598 66888 69192 86397 115196 133776 138384 172794 230392 259191 345588 460784 518382 691176 863041 892769 1036764 1382352 1726082 1785538 2073528 2589123 2678307 3452164 3571076 4147056 5178246 5356614 6904328 7142152 7767369 8034921 10356492 10713228 13808656 14284304 15534738 16069842 20712984 21426456 26754271 31069476 32139684 41425968 42852912 53508542 62138952 64279368 80262813 107017084 124277904 128558736 160525626 214034168 240788439 321051252 428068336 481576878 642102504 829382401 963153756 1284205008 1658764802 1926307512 2488147203 3317529604 3852615024 4976294406 6635059208 7464441609 9952588812 13270118416 14928883218 19905177624 29857766436 39810355248 59715532872 119431065744