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44432891320 = 23523538310979
BaseRepresentation
bin101001011000011010…
…000001110110111000
311020200121022202012111
4221120122001312320
51211444310010240
632225011022104
73132042226126
oct513032016670
9136617282174
1044432891320
1117931232994
12874059a934
13426159058c
142217208916
151250c6b1ea
hexa58681db8

44432891320 has 128 divisors (see below), whose sum is σ = 107579404800. Its totient is φ = 16477187584.

The previous prime is 44432891311. The next prime is 44432891323. The reversal of 44432891320 is 2319823444.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44432891323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4041591 + ... + 4052569.

It is an arithmetic number, because the mean of its divisors is an integer number (840464100).

Almost surely, 244432891320 is an apocalyptic number.

44432891320 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 44432891320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53789702400).

44432891320 is an abundant number, since it is smaller than the sum of its proper divisors (63146513480).

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

44432891320 is a wasteful number, since it uses less digits than its factorization.

44432891320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11149 (or 11145 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 40.

The spelling of 44432891320 in words is "forty-four billion, four hundred thirty-two million, eight hundred ninety-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 53 83 92 106 115 166 184 212 230 265 332 415 424 460 530 664 830 920 1060 1219 1660 1909 2120 2438 3320 3818 4399 4876 6095 7636 8798 9545 9752 10979 12190 15272 17596 19090 21958 21995 24380 35192 38180 43916 43990 48760 54895 76360 87832 87980 101177 109790 175960 202354 219580 252517 404708 439160 505034 505885 581887 809416 911257 1010068 1011770 1163774 1262585 1822514 2020136 2023540 2327548 2525170 2909435 3645028 4047080 4556285 4655096 5050340 5818870 7290056 9112570 10100680 11637740 13383401 18225140 20958911 23275480 26766802 36450280 41917822 48296621 53533604 66917005 83835644 96593242 104794555 107067208 133834010 167671288 193186484 209589110 241483105 267668020 386372968 419178220 482966210 535336040 838356440 965932420 1110822283 1931864840 2221644566 4443289132 5554111415 8886578264 11108222830 22216445660 44432891320