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44107076124 = 223410112710613
BaseRepresentation
bin101001000100111111…
…001001001000011100
311012211220020121210000
4221010333021020130
51210312402413444
632132411414300
73121004650446
oct510477111034
9135756217700
1044107076124
1117784327131
12866b454390
13420bc24517
1421c5c35496
15123235d469
hexa44fc921c

44107076124 has 120 divisors (see below), whose sum is σ = 117374197248. Its totient is φ = 14440809600.

The previous prime is 44107076119. The next prime is 44107076173. The reversal of 44107076124 is 42167070144.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4150642 + ... + 4161254.

Almost surely, 244107076124 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 44107076124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58687098624).

44107076124 is an abundant number, since it is smaller than the sum of its proper divisors (73267121124).

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

44107076124 is a wasteful number, since it uses less digits than its factorization.

44107076124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10857 (or 10846 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 44107076124 in words is "forty-four billion, one hundred seven million, seventy-six thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 101 108 127 162 202 254 303 324 381 404 508 606 762 909 1143 1212 1524 1818 2286 2727 3429 3636 4572 5454 6858 8181 10287 10613 10908 12827 13716 16362 20574 21226 25654 31839 32724 38481 41148 42452 51308 63678 76962 95517 115443 127356 153924 191034 230886 286551 346329 382068 461772 573102 692658 859653 1038987 1071913 1146204 1347851 1385316 1719306 2077974 2143826 2695702 3215739 3438612 4043553 4155948 4287652 5391404 6431478 8087106 9647217 12130659 12862956 16174212 19294434 24261318 28941651 36391977 38588868 48522636 57883302 72783954 86824953 109175931 115766604 136132951 145567908 173649906 218351862 272265902 347299812 408398853 436703724 544531804 816797706 1225196559 1633595412 2450393118 3675589677 4900786236 7351179354 11026769031 14702358708 22053538062 44107076124