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44056305144 = 23322329917381
BaseRepresentation
bin101001000001111101…
…011101110111111000
311012201100201012002100
4221001331131313320
51210211403231034
632123355303400
73116520262215
oct510175356770
9135640635070
1044056305144
11177586aa145
12865644ab60
134201559217
1421bd1bab0c
15122cb80099
hexa41f5ddf8

44056305144 has 96 divisors (see below), whose sum is σ = 128800432800. Its totient is φ = 13562545920.

The previous prime is 44056305089. The next prime is 44056305151. The reversal of 44056305144 is 44150365044.

44056305144 is a `hidden beast` number, since 4 + 4 + 0 + 5 + 630 + 5 + 14 + 4 = 666.

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 = 44056305099 and 44056305108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 410667 + ... + 506714.

It is an arithmetic number, because the mean of its divisors is an integer number (1341671175).

Almost surely, 244056305144 is an apocalyptic number.

It is an amenable number.

44056305144 is an abundant number, since it is smaller than the sum of its proper divisors (84744127656).

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

44056305144 is a wasteful number, since it uses less digits than its factorization.

44056305144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917445 (or 917438 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 44056305144 in words is "forty-four billion, fifty-six million, three hundred five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 29 36 46 58 69 72 87 92 116 138 174 184 207 232 261 276 348 414 522 552 667 696 828 1044 1334 1656 2001 2088 2668 4002 5336 6003 8004 12006 16008 24012 48024 917381 1834762 2752143 3669524 5504286 7339048 8256429 11008572 16512858 21099763 22017144 26604049 33025716 42199526 53208098 63299289 66051432 79812147 84399052 106416196 126598578 159624294 168798104 189897867 212832392 239436441 253197156 319248588 379795734 478872882 506394312 611893127 638497176 759591468 957745764 1223786254 1519182936 1835679381 1915491528 2447572508 3671358762 4895145016 5507038143 7342717524 11014076286 14685435048 22028152572 44056305144