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44104507108872 = 23372398093135727
BaseRepresentation
bin10100000011100111000010…
…11110101010111000001000
312210011100102221011220112120
422001303201132222320020
521240102012304440442
6233445155244211240
712201305541604350
oct1201634136527010
9183140387156476
1044104507108872
1113064686508401
124b438ba239b20
131b7c063898052
14ac69532b5b60
155173d59564ec
hex281ce17aae08

44104507108872 has 128 divisors (see below), whose sum is σ = 126556696166400. Its totient is φ = 12546919703808.

The previous prime is 44104507108813. The next prime is 44104507108891. The reversal of 44104507108872 is 27880170540144.

It is a super-2 number, since 2×441045071088722 (a number of 28 digits) contains 22 as substring.

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, 324882273 + ... + 325017999.

It is an arithmetic number, because the mean of its divisors is an integer number (988724188800).

Almost surely, 244104507108872 is an apocalyptic number.

44104507108872 is a gapful number since it is divisible by the number (42) 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 44104507108872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63278348083200).

44104507108872 is an abundant number, since it is smaller than the sum of its proper divisors (82452189057528).

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

44104507108872 is a wasteful number, since it uses less digits than its factorization.

44104507108872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144075 (or 144071 counting only the distinct ones).

The product of its (nonzero) digits is 2007040, while the sum is 51.

The spelling of 44104507108872 in words is "forty-four trillion, one hundred four billion, five hundred seven million, one hundred eight thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 239 478 717 956 1434 1673 1912 2868 3346 5019 5736 6692 8093 10038 13384 16186 20076 24279 32372 40152 48558 56651 64744 97116 113302 135727 169953 194232 226604 271454 339906 407181 453208 542908 679812 814362 950089 1085816 1359624 1628724 1900178 1934227 2850267 3257448 3800356 3868454 5700534 5802681 7600712 7736908 11401068 11605362 13539589 15473816 22802136 23210724 27079178 32438753 40618767 46421448 54158356 64877506 81237534 97316259 108316712 129755012 162475068 194632518 227071271 259510024 324950136 389265036 454142542 681213813 778530072 908285084 1098438611 1362427626 1816570168 2196877222 2724855252 3295315833 4393754444 5449710504 6590631666 7689070277 8787508888 13181263332 15378140554 23067210831 26362526664 30756281108 46134421662 61512562216 92268843324 184537686648 262526828029 525053656058 787580484087 1050107312116 1575160968174 1837687796203 2100214624232 3150321936348 3675375592406 5513063388609 6300643872696 7350751184812 11026126777218 14701502369624 22052253554436 44104507108872