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44971331640 = 23355913945697
BaseRepresentation
bin101001111000100000…
…000001000000111000
311022002010111100110120
4221320200001000320
51214100130103030
632354243413240
73151301004024
oct517040010070
9138063440416
1044971331640
1118088165094
128870984220
134318cb4311
142268929384
151283179010
hexa78801038

44971331640 has 128 divisors (see below), whose sum is σ = 138190752000. Its totient is φ = 11704025088.

The previous prime is 44971331597. The next prime is 44971331653. The reversal of 44971331640 is 4613317944.

It is a junction number, because it is equal to n+sod(n) for n = 44971331592 and 44971331601.

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 31 ways as a sum of consecutive naturals, for example, 961272 + ... + 1006968.

It is an arithmetic number, because the mean of its divisors is an integer number (1079615250).

Almost surely, 244971331640 is an apocalyptic number.

44971331640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44971331640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69095376000).

44971331640 is an abundant number, since it is smaller than the sum of its proper divisors (93219420360).

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

44971331640 is a wasteful number, since it uses less digits than its factorization.

44971331640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45909 (or 45905 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 44971331640 in words is "forty-four billion, nine hundred seventy-one million, three hundred thirty-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 59 60 118 120 139 177 236 278 295 354 417 472 556 590 695 708 834 885 1112 1180 1390 1416 1668 1770 2085 2360 2780 3336 3540 4170 5560 7080 8201 8340 16402 16680 24603 32804 41005 45697 49206 65608 82010 91394 98412 123015 137091 164020 182788 196824 228485 246030 274182 328040 365576 456970 492060 548364 685455 913940 984120 1096728 1370910 1827880 2696123 2741820 5392246 5483640 6351883 8088369 10784492 12703766 13480615 16176738 19055649 21568984 25407532 26961230 31759415 32353476 38111298 40441845 50815064 53922460 63518830 64706952 76222596 80883690 95278245 107844920 127037660 152445192 161767380 190556490 254075320 323534760 374761097 381112980 749522194 762225960 1124283291 1499044388 1873805485 2248566582 2998088776 3747610970 4497133164 5621416455 7495221940 8994266328 11242832910 14990443880 22485665820 44971331640