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44400425160 = 23357134065973
BaseRepresentation
bin101001010110011110…
…001011100011001000
311020121100020022000010
4221112132023203020
51211413002101120
632221451111520
73131166246450
oct512636134310
9136540208003
1044400425160
1117914978653
1287317425a0
134257933c30
142212b96d60
15124cea67e0
hexa5678b8c8

44400425160 has 128 divisors (see below), whose sum is σ = 163940071680. Its totient is φ = 9367999488.

The previous prime is 44400425143. The next prime is 44400425207. The reversal of 44400425160 is 6152400444.

It is a happy number.

It is a super-2 number, since 2×444004251602 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 2022067 + ... + 2043906.

It is an arithmetic number, because the mean of its divisors is an integer number (1280781810).

Almost surely, 244400425160 is an apocalyptic number.

44400425160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44400425160 is an abundant number, since it is smaller than the sum of its proper divisors (119539646520).

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

44400425160 is a wasteful number, since it uses less digits than its factorization.

44400425160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4066007 (or 4066003 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The spelling of 44400425160 in words is "forty-four billion, four hundred million, four hundred twenty-five thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 20 21 24 26 28 30 35 39 40 42 52 56 60 65 70 78 84 91 104 105 120 130 140 156 168 182 195 210 260 273 280 312 364 390 420 455 520 546 728 780 840 910 1092 1365 1560 1820 2184 2730 3640 5460 10920 4065973 8131946 12197919 16263892 20329865 24395838 28461811 32527784 40659730 48791676 52857649 56923622 60989595 81319460 85385433 97583352 105715298 113847244 121979190 142309055 158572947 162638920 170770866 211430596 227694488 243958380 264288245 284618110 317145894 341541732 370003543 422861192 426927165 487916760 528576490 569236220 634291788 683083464 740007086 792864735 853854330 1057152980 1110010629 1138472440 1268583576 1480014172 1585729470 1707708660 1850017715 2114305960 2220021258 2960028344 3171458940 3415417320 3700035430 4440042516 5550053145 6342917880 7400070860 8880085032 11100106290 14800141720 22200212580 44400425160