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44211438936 = 233272113110899
BaseRepresentation
bin101001001011001101…
…010000010101011000
311020010011121210122100
4221023031100111120
51211021112021221
632151020323400
73123413013300
oct511315202530
9136104553570
1044211438936
1117828228495
12869a3a3560
134227734a72
1421d5a40600
15123b5c5926
hexa4b350558

44211438936 has 144 divisors (see below), whose sum is σ = 140522499000. Its totient is φ = 12519940608.

The previous prime is 44211438917. The next prime is 44211439057. The reversal of 44211438936 is 63983411244.

44211438936 is a `hidden beast` number, since 4 + 421 + 143 + 89 + 3 + 6 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 44211438891 and 44211438900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 343215 + ... + 454113.

Almost surely, 244211438936 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 44211438936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70261249500).

44211438936 is an abundant number, since it is smaller than the sum of its proper divisors (96311060064).

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

44211438936 is a wasteful number, since it uses less digits than its factorization.

44211438936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111038 (or 111024 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The spelling of 44211438936 in words is "forty-four billion, two hundred eleven million, four hundred thirty-eight thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 113 126 147 168 196 226 252 294 339 392 441 452 504 588 678 791 882 904 1017 1176 1356 1582 1764 2034 2373 2712 3164 3528 4068 4746 5537 6328 7119 8136 9492 11074 14238 16611 18984 22148 28476 33222 44296 49833 56952 66444 99666 110899 132888 199332 221798 332697 398664 443596 665394 776293 887192 998091 1330788 1552586 1996182 2328879 2661576 3105172 3992364 4657758 5434051 6210344 6986637 7984728 9315516 10868102 12531587 13973274 16302153 18631032 21736204 25063174 27946548 32604306 37594761 43472408 48906459 50126348 55893096 65208612 75189522 87721109 97812918 100252696 112784283 130417224 150379044 175442218 195625836 225568566 263163327 300758088 350884436 391251672 451137132 526326654 614047763 701768872 789489981 902274264 1052653308 1228095526 1578979962 1842143289 2105306616 2456191052 3157959924 3684286578 4912382104 5526429867 6315919848 7368573156 11052859734 14737146312 22105719468 44211438936