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44811809344 = 264725632
BaseRepresentation
bin101001101110111111…
…011111001001000000
311021200000022210000101
4221232333133021000
51213233310344334
632330344332144
73144323044321
oct515677371100
9137600283011
1044811809344
1118006109685
128827474054
1342c1c30123
142251682448
151274168214
hexa6efdf240

44811809344 has 63 divisors (see below), whose sum is σ = 91017341587. Its totient is φ = 21890232704.

The previous prime is 44811809333. The next prime is 44811809423. The reversal of 44811809344 is 44390811844.

The square root of 44811809344 is 211688.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 44811809294 and 44811809303.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 79594407 + ... + 79594969.

Almost surely, 244811809344 is an apocalyptic number.

44811809344 is the 211688-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44811809344

44811809344 is an abundant number, since it is smaller than the sum of its proper divisors (46205532243).

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

44811809344 is an frugal number, since it uses more digits than its factorization.

44811809344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1232 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 46.

The spelling of 44811809344 in words is "forty-four billion, eight hundred eleven million, eight hundred nine thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 47 64 94 188 376 563 752 1126 1504 2209 2252 3008 4418 4504 8836 9008 17672 18016 26461 35344 36032 52922 70688 105844 141376 211688 316969 423376 633938 846752 1243667 1267876 1693504 2487334 2535752 4974668 5071504 9949336 10143008 14897543 19898672 20286016 29795086 39797344 59590172 79594688 119180344 238360688 476721376 700184521 953442752 1400369042 2800738084 5601476168 11202952336 22405904672 44811809344