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44385422458344 = 233111715236493631
BaseRepresentation
bin10100001011110010010010…
…10101101011110111101000
312211011012112101222020110020
422011321021111223313220
521304202321122131334
6234222214231120440
712230512100641332
oct1205711125536750
9184135471866406
1044385422458344
111316282a941250
124b8a238213120
131b9c6b185b126
14ad63a1926452
1551e877908e49
hex285e4956bde8

44385422458344 has 128 divisors (see below), whose sum is σ = 128255985377280. Its totient is φ = 12650630220800.

The previous prime is 44385422458339. The next prime is 44385422458369.

44385422458344 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3588409 + ... + 10082039.

It is an arithmetic number, because the mean of its divisors is an integer number (1001999885760).

Almost surely, 244385422458344 is an apocalyptic number.

44385422458344 is a gapful number since it is divisible by the number (44) 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 44385422458344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64127992688640).

44385422458344 is an abundant number, since it is smaller than the sum of its proper divisors (83870562918936).

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

44385422458344 is a wasteful number, since it uses less digits than its factorization.

44385422458344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6495191 (or 6495187 counting only the distinct ones).

The product of its digits is 235929600, while the sum is 60.

The spelling of 44385422458344 in words is "forty-four trillion, three hundred eighty-five billion, four hundred twenty-two million, four hundred fifty-eight thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 132 136 187 204 264 374 408 561 748 1122 1496 1523 2244 3046 4488 4569 6092 9138 12184 16753 18276 25891 33506 36552 50259 51782 67012 77673 100518 103564 134024 155346 201036 207128 284801 310692 402072 569602 621384 854403 1139204 1708806 2278408 3417612 6493631 6835224 12987262 19480893 25974524 38961786 51949048 71429941 77923572 110391727 142859882 155847144 214289823 220783454 285719764 331175181 428579646 441566908 571439528 662350362 857159292 883133816 1214308997 1324700724 1714318584 2428617994 2649401448 3642926991 4857235988 7285853982 9714471976 9889800013 14571707964 19779600026 29143415928 29669400039 39559200052 59338800078 79118400104 108787800143 118677600156 168126600221 217575600286 237355200312 326363400429 336253200442 435151200572 504379800663 652726800858 672506400884 870302401144 1008759601326 1305453601716 1345012801768 1849392602431 2017519202652 2610907203432 3698785204862 4035038405304 5548177807293 7397570409724 11096355614586 14795140819448 22192711229172 44385422458344