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44376067344 = 2437457288997
BaseRepresentation
bin101001010101000001…
…010000110100010000
311020112122101210100210
4221111001100310100
51211340233123334
632215221044120
73130452230430
oct512501206420
9136478353323
1044376067344
1117902151224
128725556640
13425288611b
14220d8562c0
15124ac945e9
hexa55050d10

44376067344 has 80 divisors (see below), whose sum is σ = 131302195328. Its totient is φ = 12651088896.

The previous prime is 44376067339. The next prime is 44376067369.

44376067344 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 44376067293 and 44376067302.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9054 + ... + 298050.

Almost surely, 244376067344 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 44376067344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65651097664).

44376067344 is an abundant number, since it is smaller than the sum of its proper divisors (86926127984).

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

44376067344 is a wasteful number, since it uses less digits than its factorization.

44376067344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289472 (or 289466 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 48.

The spelling of 44376067344 in words is "forty-four billion, three hundred seventy-six million, sixty-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 457 914 1371 1828 2742 3199 3656 5484 6398 7312 9597 10968 12796 19194 21936 25592 38388 51184 76776 153552 288997 577994 866991 1155988 1733982 2022979 2311976 3467964 4045958 4623952 6068937 6935928 8091916 12137874 13871856 16183832 24275748 32367664 48551496 97102992 132071629 264143258 396214887 528286516 792429774 924501403 1056573032 1584859548 1849002806 2113146064 2773504209 3169719096 3698005612 5547008418 6339438192 7396011224 11094016836 14792022448 22188033672 44376067344