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44426255112 = 23331012817247
BaseRepresentation
bin101001011000000000…
…101101101100001000
311020200010211121001000
4221120000231230020
51211441110130422
632224212455000
73131631636441
oct513000555410
9136603747030
1044426255112
1117928510018
12873a31a460
1342600a8b25
14221639c2c8
1512503a9cac
hexa5802db08

44426255112 has 128 divisors (see below), whose sum is σ = 125088883200. Its totient is φ = 14607936000.

The previous prime is 44426255053. The next prime is 44426255143. The reversal of 44426255112 is 21155262444.

44426255112 is a `hidden beast` number, since 4 + 4 + 42 + 62 + 551 + 1 + 2 = 666.

It is a super-2 number, since 2×444262551122 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6126673 + ... + 6133919.

It is an arithmetic number, because the mean of its divisors is an integer number (977256900).

Almost surely, 244426255112 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 44426255112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62544441600).

44426255112 is an abundant number, since it is smaller than the sum of its proper divisors (80662628088).

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

44426255112 is a wasteful number, since it uses less digits than its factorization.

44426255112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7644 (or 7634 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The spelling of 44426255112 in words is "forty-four billion, four hundred twenty-six million, two hundred fifty-five thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 101 108 202 216 281 303 404 562 606 808 843 909 1124 1212 1686 1818 2248 2424 2529 2727 3372 3636 5058 5454 6744 7247 7272 7587 10116 10908 14494 15174 20232 21741 21816 28381 28988 30348 43482 56762 57976 60696 65223 85143 86964 113524 130446 170286 173928 195669 227048 255429 260892 340572 391338 510858 521784 681144 731947 766287 782676 1021716 1463894 1532574 1565352 2036407 2043432 2195841 2927788 3065148 4072814 4391682 5855576 6109221 6130296 6587523 8145628 8783364 12218442 13175046 16291256 17566728 18327663 19762569 24436884 26350092 36655326 39525138 48873768 52700184 54982989 73310652 79050276 109965978 146621304 158100552 205677107 219931956 411354214 439863912 617031321 822708428 1234062642 1645416856 1851093963 2468125284 3702187926 4936250568 5553281889 7404375852 11106563778 14808751704 22213127556 44426255112