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44340604344 = 23323716644371
BaseRepresentation
bin101001010010111001…
…111110110110111000
311020110011200002021100
4221102321332312320
51211302143314334
632211513011400
73126541626651
oct512271766670
9136404602240
1044340604344
111789412a363
1287156b3b60
13424841a6ba
142208c64528
151247adbc99
hexa52e7edb8

44340604344 has 48 divisors (see below), whose sum is σ = 123334796520. Its totient is φ = 14380735680.

The previous prime is 44340604309. The next prime is 44340604369.

44340604344 is a `hidden beast` number, since 4 + 4 + 3 + 4 + 0 + 604 + 3 + 44 = 666.

44340604344 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 = 44340604299 and 44340604308.

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, 8319522 + ... + 8324849.

Almost surely, 244340604344 is an apocalyptic number.

It is an amenable number.

44340604344 is an abundant number, since it is smaller than the sum of its proper divisors (78994192176).

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

44340604344 is a wasteful number, since it uses less digits than its factorization.

44340604344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16644420 (or 16644413 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

The spelling of 44340604344 in words is "forty-four billion, three hundred forty million, six hundred four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 666 888 1332 2664 16644371 33288742 49933113 66577484 99866226 133154968 149799339 199732452 299598678 399464904 599197356 615841727 1198394712 1231683454 1847525181 2463366908 3695050362 4926733816 5542575543 7390100724 11085151086 14780201448 22170302172 44340604344