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44335129014 = 232112694431879
BaseRepresentation
bin101001010010100101…
…000110000110110110
311020102210100220112100
4221102211012012312
51211244243112024
632211155402530
73126444243621
oct512245060666
9136383326470
1044335129014
111789102a6a0
1287138b3446
134247251467
14220823adb8
1512473a97c9
hexa529461b6

44335129014 has 96 divisors (see below), whose sum is σ = 105475219200. Its totient is φ = 13347622080.

The previous prime is 44335128989. The next prime is 44335129021. The reversal of 44335129014 is 41092153344.

44335129014 is a `hidden beast` number, since 4 + 4 + 3 + 351 + 290 + 14 = 666.

It is a super-2 number, since 2×443351290142 (a number of 22 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 44335129014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23594127 + ... + 23596005.

It is an arithmetic number, because the mean of its divisors is an integer number (1098700200).

Almost surely, 244335129014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44335129014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52737609600).

44335129014 is an abundant number, since it is smaller than the sum of its proper divisors (61140090186).

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

44335129014 is a wasteful number, since it uses less digits than its factorization.

44335129014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2610 (or 2607 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 44335129014 in words is "forty-four billion, three hundred thirty-five million, one hundred twenty-nine thousand, fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 269 443 538 807 886 1329 1614 1879 2421 2658 2959 3758 3987 4842 4873 5637 5918 7974 8877 9746 11274 14619 16911 17754 20669 26631 29238 33822 41338 43857 53262 62007 87714 119167 124014 186021 238334 357501 372042 505451 715002 832397 1010902 1072503 1310837 1516353 1664794 2145006 2497191 2621674 3032706 3932511 4549059 4994382 5559961 7491573 7865022 9098118 9156367 11119922 11797533 14983146 16679883 18312734 23595066 27469101 33359766 50039649 54938202 82407303 100079298 164814606 223914793 447829586 671744379 1343488758 2015233137 2463062723 4030466274 4926125446 7389188169 14778376338 22167564507 44335129014