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44120321344 = 26111914092341
BaseRepresentation
bin101001000101110001…
…101010110101000000
311012212211011112210201
4221011301222311000
51210324300240334
632134003334544
73121225354321
oct510561526500
9135784145721
1044120321344
11177908534a0
128673981454
1342118b1228
1421c78c2448
1512335c7c14
hexa45c6ad40

44120321344 has 112 divisors (see below), whose sum is σ = 100651665600. Its totient is φ = 18977587200.

The previous prime is 44120321291. The next prime is 44120321383. The reversal of 44120321344 is 44312302144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18845614 + ... + 18847954.

Almost surely, 244120321344 is an apocalyptic number.

44120321344 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 44120321344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50325832800).

44120321344 is an abundant number, since it is smaller than the sum of its proper divisors (56531344256).

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

44120321344 is a wasteful number, since it uses less digits than its factorization.

44120321344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3792 (or 3782 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 44120321344 its reverse (44312302144), we get a palindrome (88432623488).

The spelling of 44120321344 in words is "forty-four billion, one hundred twenty million, three hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 152 176 209 304 352 418 608 704 836 1216 1409 1672 2341 2818 3344 4682 5636 6688 9364 11272 13376 15499 18728 22544 25751 26771 30998 37456 44479 45088 51502 53542 61996 74912 88958 90176 103004 107084 123992 149824 177916 206008 214168 247984 294481 355832 412016 428336 489269 495968 588962 711664 824032 856672 978538 991936 1177924 1423328 1648064 1713344 1957076 2355848 2846656 3298469 3914152 4711696 6596938 7828304 9423392 13193876 15656608 18846784 26387752 31313216 36283159 52775504 62670911 72566318 105551008 125341822 145132636 211102016 250683644 290265272 501367288 580530544 689380021 1002734576 1161061088 1378760042 2005469152 2322122176 2757520084 4010938304 5515040168 11030080336 22060160672 44120321344