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44042511562144 = 2531591136659321
BaseRepresentation
bin10100000001110011100100…
…10000011011010110100000
312202221102102100121211022021
422000321302100123112200
521233043030424442034
6233400503412351224
712163652331263224
oct1200716220332640
9182842370554267
1044042511562144
1113040362655577
124b33898015514
131b762638927a4
14ac39517a6784
155159a7e206b4
hex280e7241b5a0

44042511562144 has 96 divisors (see below), whose sum is σ = 91828321159680. Its totient is φ = 20764292505600.

The previous prime is 44042511562129. The next prime is 44042511562171. The reversal of 44042511562144 is 44126511524044.

It is a self number, because there is not a number n which added to its sum of digits gives 44042511562144.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3284004 + ... + 9943324.

It is an arithmetic number, because the mean of its divisors is an integer number (956545012080).

Almost surely, 244042511562144 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 44042511562144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45914160579840).

44042511562144 is an abundant number, since it is smaller than the sum of its proper divisors (47785809597536).

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

44042511562144 is a wasteful number, since it uses less digits than its factorization.

44042511562144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6659534 (or 6659526 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 43.

The spelling of 44042511562144 in words is "forty-four trillion, forty-two billion, five hundred eleven million, five hundred sixty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 31 32 59 62 113 118 124 226 236 248 452 472 496 904 944 992 1808 1829 1888 3503 3616 3658 6667 7006 7316 13334 14012 14632 26668 28024 29264 53336 56048 58528 106672 112096 206677 213344 413354 826708 1653416 3306832 6613664 6659321 13318642 26637284 53274568 106549136 206438951 213098272 392899939 412877902 752503273 785799878 825755804 1505006546 1571599756 1651511608 3010013092 3143199512 3303023216 6020026184 6286399024 6606046432 12040052368 12179898109 12572798048 23327601463 24080104736 24359796218 44397693107 46655202926 48719592436 88795386214 93310405852 97439184872 177590772428 186620811704 194878369744 355181544856 373241623408 389756739488 710363089712 746483246816 1376328486317 1420726179424 2752656972634 5505313945268 11010627890536 22021255781072 44042511562144