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1044050716944 = 243694612
BaseRepresentation
bin11110011000101100100…
…01011010100100010000
310200210212200121201000000
433030112101122210100
5114101203440420234
62115344050130000
7135300356445144
oct17142621324420
93623780551000
101044050716944
11372863458594
1214a416580900
13775b8619321
14387649ab224
151c258b90899
hexf31645a910

1044050716944 has 105 divisors (see below), whose sum is σ = 3033205583989. Its totient is φ = 347980121280.

The previous prime is 1044050716909. The next prime is 1044050717053. The reversal of 1044050716944 is 4496170504401.

The square root of 1044050716944 is 1021788.

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

1044050716944 is a `hidden beast` number, since 1 + 0 + 4 + 40 + 507 + 1 + 69 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 786392956944 + 257657760000 = 886788^2 + 507600^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1044050716944.

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 20 ways as a sum of consecutive naturals, for example, 110348374 + ... + 110357834.

Almost surely, 21044050716944 is an apocalyptic number.

1044050716944 is the 1021788-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1044050716944

1044050716944 is an abundant number, since it is smaller than the sum of its proper divisors (1989154867045).

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

1044050716944 is an frugal number, since it uses more digits than its factorization.

1044050716944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18948 (or 9466 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 1044050716944 in words is "one trillion, forty-four billion, fifty million, seven hundred sixteen thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2916 3888 5832 9461 11664 18922 28383 37844 56766 75688 85149 113532 151376 170298 227064 255447 340596 454128 510894 681192 766341 1021788 1362384 1532682 2043576 2299023 3065364 4087152 4598046 6130728 6897069 9196092 12261456 13794138 18392184 27588276 36784368 55176552 89510521 110353104 179021042 268531563 358042084 537063126 716084168 805594689 1074126252 1432168336 1611189378 2148252504 2416784067 3222378756 4296505008 4833568134 6444757512 7250352201 9667136268 12889515024 14500704402 19334272536 21751056603 29001408804 38668545072 43502113206 58002817608 65253169809 87004226412 116005635216 130506339618 174008452824 261012679236 348016905648 522025358472 1044050716944