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44413140132 = 2235431079931
BaseRepresentation
bin101001010111001110…
…101011110010100100
311020122020011021200000
4221113032223302210
51211424230441012
632223023421300
73131412314364
oct512716536244
9136566137600
1044413140132
1117921072599
128735a54830
13425a46649a
1422147469a4
15124e168ddc
hexa573abca4

44413140132 has 144 divisors (see below), whose sum is σ = 120257609472. Its totient is φ = 14323508640.

The previous prime is 44413140127. The next prime is 44413140157. The reversal of 44413140132 is 23104131444.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 44413140096 and 44413140105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4467207 + ... + 4477137.

It is an arithmetic number, because the mean of its divisors is an integer number (835122288).

Almost surely, 244413140132 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 44413140132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60128804736).

44413140132 is an abundant number, since it is smaller than the sum of its proper divisors (75844469340).

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

44413140132 is a wasteful number, since it uses less digits than its factorization.

44413140132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10100 (or 10086 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 44413140132 its reverse (23104131444), we get a palindrome (67517271576).

The spelling of 44413140132 in words is "forty-four billion, four hundred thirteen million, one hundred forty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 81 86 107 108 129 162 172 214 243 258 321 324 387 428 486 516 642 774 963 972 1161 1284 1548 1926 2322 2889 3483 3852 4601 4644 5778 6966 8667 9202 9931 10449 11556 13803 13932 17334 18404 19862 20898 26001 27606 29793 34668 39724 41409 41796 52002 55212 59586 82818 89379 104004 119172 124227 165636 178758 248454 268137 357516 372681 427033 496908 536274 745362 804411 854066 1062617 1072548 1118043 1281099 1490724 1608822 1708132 2125234 2236086 2413233 2562198 3187851 3217644 3843297 4250468 4472172 4826466 5124396 6375702 7686594 9563553 9652932 11529891 12751404 15373188 19127106 23059782 28690659 34589673 38254212 45692531 46119564 57381318 69179346 86071977 91385062 103769019 114762636 137077593 138358692 172143954 182770124 207538038 258215931 274155186 344287908 411232779 415076076 516431862 548310372 822465558 1032863724 1233698337 1644931116 2467396674 3701095011 4934793348 7402190022 11103285033 14804380044 22206570066 44413140132