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44013430464 = 263415591137
BaseRepresentation
bin101000111111011001…
…111010011011000000
311012121101000221002020
4220333121322123000
51210114414233324
632115224321440
73115456662153
oct507731723300
9135541027066
1044013430464
1117736485823
128644013280
1341c56c70a3
1421b7619c9a
151229011679
hexa3f67a6c0

44013430464 has 56 divisors (see below), whose sum is σ = 119292520368. Its totient is φ = 14313308160.

The previous prime is 44013430451. The next prime is 44013430469. The reversal of 44013430464 is 46403431044.

It is a super-2 number, since 2×440134304642 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (44013430469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2787697 + ... + 2803440.

It is an arithmetic number, because the mean of its divisors is an integer number (2130223578).

Almost surely, 244013430464 is an apocalyptic number.

It is an amenable number.

44013430464 is an abundant number, since it is smaller than the sum of its proper divisors (75279089904).

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

44013430464 is a wasteful number, since it uses less digits than its factorization.

44013430464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5591193 (or 5591183 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

The spelling of 44013430464 in words is "forty-four billion, thirteen million, four hundred thirty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 164 192 246 328 492 656 984 1312 1968 2624 3936 7872 5591137 11182274 16773411 22364548 33546822 44729096 67093644 89458192 134187288 178916384 229236617 268374576 357832768 458473234 536749152 687709851 916946468 1073498304 1375419702 1833892936 2750839404 3667785872 5501678808 7335571744 11003357616 14671143488 22006715232 44013430464