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9944041617024 = 273118121927131
BaseRepresentation
bin1001000010110100011100…
…0100010111011010000000
31022012122022100122212100120
42100231013010113122000
52300410344123221044
633052121334420240
72044301423054514
oct220550704273200
938178270585316
109944041617024
113194276285719
12114727b501680
13571946b315c8
14265419344144
15123a02436519
hex90b47117680

9944041617024 has 64 divisors (see below), whose sum is σ = 26436227424480. Its totient is φ = 3311873715200.

The previous prime is 9944041616989. The next prime is 9944041617043. The reversal of 9944041617024 is 4207161404499.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×99440416170242 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10510062 + ... + 11417069.

Almost surely, 29944041617024 is an apocalyptic number.

It is an amenable number.

9944041617024 is an abundant number, since it is smaller than the sum of its proper divisors (16492185807456).

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

9944041617024 is a wasteful number, since it uses less digits than its factorization.

9944041617024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21928329 (or 21928317 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 9944041617024 in words is "nine trillion, nine hundred forty-four billion, forty-one million, six hundred seventeen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 1181 2362 3543 4724 7086 9448 14172 18896 28344 37792 56688 75584 113376 151168 226752 453504 21927131 43854262 65781393 87708524 131562786 175417048 263125572 350834096 526251144 701668192 1052502288 1403336384 2105004576 2806672768 4210009152 8420018304 25895941711 51791883422 77687825133 103583766844 155375650266 207167533688 310751300532 414335067376 621502601064 828670134752 1243005202128 1657340269504 2486010404256 3314680539008 4972020808512 9944041617024