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44107072544 = 252924734871
BaseRepresentation
bin101001000100111111…
…001000010000100000
311012211220020102212102
4221010333020100200
51210312402310134
632132411345532
73121004634143
oct510477102040
9135756212772
1044107072544
1117784324477
12866b4522a8
13420bc229c2
1421c5c3405a
15123235c37e
hexa44fc8420

44107072544 has 72 divisors (see below), whose sum is σ = 91849500288. Its totient is φ = 20839427840.

The previous prime is 44107072519. The next prime is 44107072547. The reversal of 44107072544 is 44527070144.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 44107072498 and 44107072507.

It is not an unprimeable number, because it can be changed into a prime (44107072547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1247429 + ... + 1282299.

It is an arithmetic number, because the mean of its divisors is an integer number (1275687504).

Almost surely, 244107072544 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 44107072544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45924750144).

44107072544 is an abundant number, since it is smaller than the sum of its proper divisors (47742427744).

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

44107072544 is a wasteful number, since it uses less digits than its factorization.

44107072544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34986 (or 34949 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 38.

The spelling of 44107072544 in words is "forty-four billion, one hundred seven million, seventy-two thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 29 32 47 58 94 116 188 232 376 464 752 841 928 1363 1504 1682 2726 3364 5452 6728 10904 13456 21808 26912 34871 39527 43616 69742 79054 139484 158108 278968 316216 557936 632432 1011259 1115872 1264864 1638937 2022518 3277874 4045036 6555748 8090072 13111496 16180144 26222992 29326511 32360288 47529173 52445984 58653022 95058346 117306044 190116692 234612088 380233384 469224176 760466768 938448352 1378346017 1520933536 2756692034 5513384068 11026768136 22053536272 44107072544