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44244674320 = 24571126092753
BaseRepresentation
bin101001001101001100…
…000010011100010000
311020012111011100000111
4221031030002130100
51211103114034240
632154204531104
73124265345410
oct511514023420
9136174140014
1044244674320
1117844a68750
1286a9550a94
1342315a0582
1421da212640
15123e48d1ea
hexa4d302710

44244674320 has 160 divisors (see below), whose sum is σ = 128347856640. Its totient is φ = 13780254720.

The previous prime is 44244674233. The next prime is 44244674347. The reversal of 44244674320 is 2347644244.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16070064 + ... + 16072816.

It is an arithmetic number, because the mean of its divisors is an integer number (802174104).

Almost surely, 244244674320 is an apocalyptic number.

44244674320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44244674320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64173928320).

44244674320 is an abundant number, since it is smaller than the sum of its proper divisors (84103182320).

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

44244674320 is a wasteful number, since it uses less digits than its factorization.

44244674320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5393 (or 5387 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 40.

The spelling of 44244674320 in words is "forty-four billion, two hundred forty-four million, six hundred seventy-four thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 560 616 770 880 1232 1540 2609 2753 3080 5218 5506 6160 10436 11012 13045 13765 18263 19271 20872 22024 26090 27530 28699 30283 36526 38542 41744 44048 52180 55060 57398 60566 73052 77084 91315 96355 104360 110120 114796 121132 143495 146104 151415 154168 182630 192710 200893 208720 211981 220240 229592 242264 286990 292208 302830 308336 365260 385420 401786 423962 459184 484528 573980 605660 730520 770840 803572 847924 1004465 1059905 1147960 1211320 1461040 1541680 1607144 1695848 2008930 2119810 2295920 2422640 3214288 3391696 4017860 4239620 7182577 8035720 8479240 14365154 16071440 16958480 28730308 35912885 50278039 57460616 71825770 79008347 100556078 114921232 143651540 158016694 201112156 251390195 287303080 316033388 395041735 402224312 502780390 553058429 574606160 632066776 790083470 804448624 1005560780 1106116858 1264133552 1580166940 2011121560 2212233716 2765292145 3160333880 4022243120 4424467432 5530584290 6320667760 8848934864 11061168580 22122337160 44244674320