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44318195328 = 2731129361793
BaseRepresentation
bin101001010001100100…
…011111111010000000
311020101121111120212210
4221101210133322000
51211230424222303
632205352422120
73126150305361
oct512144377200
9136347446783
1044318195328
1117882514110
12870a0a7940
1342438a2924
142205cadb68
151245b62203
hexa5191fe80

44318195328 has 128 divisors (see below), whose sum is σ = 132850756800. Its totient is φ = 12966625280.

The previous prime is 44318195321. The next prime is 44318195333. The reversal of 44318195328 is 82359181344.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×443181953282 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (44318195321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58401 + ... + 303392.

Almost surely, 244318195328 is an apocalyptic number.

44318195328 is a gapful number since it is divisible by the number (48) 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 44318195328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66425378400).

44318195328 is an abundant number, since it is smaller than the sum of its proper divisors (88532561472).

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

44318195328 is a wasteful number, since it uses less digits than its factorization.

44318195328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361850 (or 361838 counting only the distinct ones).

The product of its digits is 829440, while the sum is 48.

The spelling of 44318195328 in words is "forty-four billion, three hundred eighteen million, one hundred ninety-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 32 33 44 48 58 64 66 87 88 96 116 128 132 174 176 192 232 264 319 348 352 384 464 528 638 696 704 928 957 1056 1276 1392 1408 1856 1914 2112 2552 2784 3712 3828 4224 5104 5568 7656 10208 11136 15312 20416 30624 40832 61248 122496 361793 723586 1085379 1447172 2170758 2894344 3979723 4341516 5788688 7959446 8683032 10491997 11577376 11939169 15918892 17366064 20983994 23154752 23878338 31475991 31837784 34732128 41967988 46309504 47756676 62951982 63675568 69464256 83935976 95513352 115411967 125903964 127351136 138928512 167871952 191026704 230823934 251807928 254702272 335743904 346235901 382053408 461647868 503615856 509404544 671487808 692471802 764106816 923295736 1007231712 1342975616 1384943604 1528213632 1846591472 2014463424 2769887208 3693182944 4028926848 5539774416 7386365888 11079548832 14772731776 22159097664 44318195328