Search a number
-
+
44112938496 = 293113184221
BaseRepresentation
bin101001000101010101…
…100000011000000000
311012212022021110102220
4221011111200120000
51210320403012441
632133141211040
73121105535064
oct510525403000
9135768243386
1044112938496
1117787670670
128671400a80
1342101c7993
1421c691daa4
151232b1a466
hexa45560600

44112938496 has 160 divisors (see below), whose sum is σ = 132340386816. Its totient is φ = 12936192000.

The previous prime is 44112938437. The next prime is 44112938561. The reversal of 44112938496 is 69483921144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 481666 + ... + 565886.

Almost surely, 244112938496 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 44112938496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66170193408).

44112938496 is an abundant number, since it is smaller than the sum of its proper divisors (88227448320).

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

44112938496 is a wasteful number, since it uses less digits than its factorization.

44112938496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84284 (or 84268 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 51.

The spelling of 44112938496 in words is "forty-four billion, one hundred twelve million, nine hundred thirty-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 32 33 44 48 62 64 66 88 93 96 124 128 132 176 186 192 248 256 264 341 352 372 384 496 512 528 682 704 744 768 992 1023 1056 1364 1408 1488 1536 1984 2046 2112 2728 2816 2976 3968 4092 4224 5456 5632 5952 7936 8184 8448 10912 11904 15872 16368 16896 21824 23808 32736 43648 47616 65472 84221 87296 130944 168442 174592 252663 261888 336884 505326 523776 673768 926431 1010652 1347536 1852862 2021304 2610851 2695072 2779293 3705724 4042608 5221702 5390144 5558586 7411448 7832553 8085216 10443404 10780288 11117172 14822896 15665106 16170432 20886808 21560576 22234344 28719361 29645792 31330212 32340864 41773616 43121152 44468688 57438722 59291584 62660424 64681728 83547232 86158083 88937376 114877444 118583168 125320848 129363456 167094464 172316166 177874752 229754888 237166336 250641696 334188928 344632332 355749504 459509776 474332672 501283392 668377856 689264664 711499008 919019552 1002566784 1336755712 1378529328 1422998016 1838039104 2005133568 2757058656 3676078208 4010267136 5514117312 7352156416 11028234624 14704312832 22056469248 44112938496