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44361016344 = 2332739383339
BaseRepresentation
bin101001010100000111…
…110110010000011000
311020111121002010021100
4221110013312100120
51211322410010334
632213522311400
73130210263111
oct512407662030
9136447063240
1044361016344
11178a4701187
1287204b8560
13424c7164c8
14220b859208
1512497bec99
hexa541f6418

44361016344 has 48 divisors (see below), whose sum is σ = 120162112200. Its totient is φ = 14784827904.

The previous prime is 44361016303. The next prime is 44361016361.

44361016344 is a `hidden beast` number, since 4 + 4 + 3 + 6 + 10 + 1 + 634 + 4 = 666.

44361016344 is nontrivially palindromic in base 10.

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

It is a junction number, because it is equal to n+sod(n) for n = 44361016299 and 44361016308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 490627 + ... + 573965.

Almost surely, 244361016344 is an apocalyptic number.

It is an amenable number.

44361016344 is an abundant number, since it is smaller than the sum of its proper divisors (75801095856).

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

44361016344 is a wasteful number, since it uses less digits than its factorization.

44361016344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90744 (or 90737 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

It can be divided in two parts, 443610 and 16344, that added together give a palindrome (459954).

The spelling of 44361016344 in words is "forty-four billion, three hundred sixty-one million, sixteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 7393 14786 22179 29572 44358 59144 66537 83339 88716 133074 166678 177432 250017 266148 333356 500034 532296 666712 750051 1000068 1500102 2000136 3000204 6000408 616125227 1232250454 1848375681 2464500908 3696751362 4929001816 5545127043 7393502724 11090254086 14787005448 22180508172 44361016344