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44145444336 = 24375315116417
BaseRepresentation
bin101001000111010001…
…100000010111110000
311012221120102221001220
4221013101200113300
51210402213204321
632140302025040
73121652041230
oct510721402760
9135846387056
1044145444336
11177a3a527a4
128680278180
134216b693c6
1421cad81cc0
1512358db9c6
hexa474605f0

44145444336 has 160 divisors (see below), whose sum is σ = 133680872448. Its totient is φ = 12292300800.

The previous prime is 44145444323. The next prime is 44145444359. The reversal of 44145444336 is 63344454144.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 2680800 + ... + 2697216.

Almost surely, 244145444336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44145444336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66840436224).

44145444336 is an abundant number, since it is smaller than the sum of its proper divisors (89535428112).

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

44145444336 is a wasteful number, since it uses less digits than its factorization.

44145444336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16639 (or 16633 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 42.

The spelling of 44145444336 in words is "forty-four billion, one hundred forty-five million, four hundred forty-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 53 56 84 106 112 151 159 168 212 302 318 336 371 424 453 604 636 742 848 906 1057 1113 1208 1272 1484 1812 2114 2226 2416 2544 2968 3171 3624 4228 4452 5936 6342 7248 8003 8456 8904 12684 16006 16417 16912 17808 24009 25368 32012 32834 48018 49251 50736 56021 64024 65668 96036 98502 112042 114919 128048 131336 168063 192072 197004 224084 229838 262672 336126 344757 384144 394008 448168 459676 672252 689514 788016 870101 896336 919352 1344504 1379028 1740202 1838704 2478967 2610303 2689008 2758056 3480404 4957934 5220606 5516112 6090707 6960808 7436901 9915868 10441212 12181414 13921616 14873802 17352769 18272121 19831736 20882424 24362828 29747604 34705538 36544242 39663472 41764848 48725656 52058307 59495208 69411076 73088484 97451312 104116614 118990416 131385251 138822152 146176968 208233228 262770502 277644304 292353936 394155753 416466456 525541004 788311506 832932912 919696757 1051082008 1576623012 1839393514 2102164016 2759090271 3153246024 3678787028 5518180542 6306492048 7357574056 11036361084 14715148112 22072722168 44145444336