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44304400322112 = 2637163332018281
BaseRepresentation
bin10100001001011011011000…
…00010110000111001000000
312210212110101211112021010210
422010231230002300321000
521301340402440301422
6234121054401354120
712221613225101610
oct1204555402607100
9183773354467123
1044304400322112
1113131432a72087
124b765a6038940
131b94b6ba38598
14ad24b711aa40
1551c6d483510c
hex284b6c0b0e40

44304400322112 has 112 divisors (see below), whose sum is σ = 133976336316032. Its totient is φ = 12657618800640.

The previous prime is 44304400322093. The next prime is 44304400322173. The reversal of 44304400322112 is 21122300440344.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×443044003221122 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 44304400322112.

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 15 ways as a sum of consecutive naturals, for example, 20942412 + ... + 22960692.

It is an arithmetic number, because the mean of its divisors is an integer number (1196217288536).

Almost surely, 244304400322112 is an apocalyptic number.

44304400322112 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

44304400322112 is an abundant number, since it is smaller than the sum of its proper divisors (89671935993920).

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

44304400322112 is a wasteful number, since it uses less digits than its factorization.

44304400322112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2034636 (or 2034626 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 44304400322112 its reverse (21122300440344), we get a palindrome (65426700762456).

The spelling of 44304400322112 in words is "forty-four trillion, three hundred four billion, four hundred million, three hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 16333 32666 48999 65332 97998 114331 130664 195996 228662 261328 342993 391992 457324 522656 685986 783984 914648 1045312 1371972 1567968 1829296 2018281 2743944 3135936 3658592 4036562 5487888 6054843 7317184 8073124 10975776 12109686 14127967 16146248 21951552 24219372 28255934 32292496 42383901 48438744 56511868 64584992 84767802 96877488 113023736 129169984 169535604 193754976 226047472 339071208 387509952 452094944 678142416 904189888 1356284832 2712569664 32964583573 65929167146 98893750719 131858334292 197787501438 230752085011 263716668584 395575002876 461504170022 527433337168 692256255033 791150005752 923008340044 1054866674336 1384512510066 1582300011504 1846016680088 2109733348672 2769025020132 3164600023008 3692033360176 5538050040264 6329200046016 7384066720352 11076100080528 14768133440704 22152200161056 44304400322112