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44365456344 = 23311310113751
BaseRepresentation
bin101001010100011000…
…110010001111011000
311020111220102200210210
4221110120302033120
51211330024100334
632214201411120
73130263104526
oct512430621730
9136456380723
1044365456344
11178a7164000
128721a99aa0
13425060c421
14220c293316
151249d9a5e9
hexa546323d8

44365456344 has 128 divisors (see below), whose sum is σ = 123213519360. Its totient is φ = 13310000000.

The previous prime is 44365456337. The next prime is 44365456363.

44365456344 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×443654563442 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 44365456293 and 44365456302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3219469 + ... + 3233219.

It is an arithmetic number, because the mean of its divisors is an integer number (962605620).

Almost surely, 244365456344 is an apocalyptic number.

44365456344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44365456344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61606759680).

44365456344 is an abundant number, since it is smaller than the sum of its proper divisors (78848063016).

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

44365456344 is a wasteful number, since it uses less digits than its factorization.

44365456344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13894 (or 13868 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 48.

The spelling of 44365456344 in words is "forty-four billion, three hundred sixty-five million, four hundred fifty-six thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 101 121 132 202 242 264 303 363 404 484 606 726 808 968 1111 1212 1331 1452 2222 2424 2662 2904 3333 3993 4444 5324 6666 7986 8888 10648 12221 13332 13751 15972 24442 26664 27502 31944 36663 41253 48884 55004 73326 82506 97768 110008 134431 146652 151261 165012 268862 293304 302522 330024 403293 453783 537724 605044 806586 907566 1075448 1210088 1388851 1613172 1663871 1815132 2777702 3226344 3327742 3630264 4166553 4991613 5555404 6655484 8333106 9983226 11110808 13310968 15277361 16666212 18302581 19966452 30554722 33332424 36605162 39932904 45832083 54907743 61109444 73210324 91664166 109815486 122218888 146420648 168050971 183328332 219630972 336101942 366656664 439261944 504152913 672203884 1008305826 1344407768 1848560681 2016611652 3697121362 4033223304 5545682043 7394242724 11091364086 14788485448 22182728172 44365456344