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44323723024 = 24727321032
BaseRepresentation
bin101001010001111001…
…100101011100010000
311020101222220102110021
4221101321211130100
51211233333114044
632210111113224
73126245300200
oct512171453420
9136358812407
1044323723024
111788564a159
12870bb12814
134244a89959
14220690c400
1512463a4e84
hexa51e65710

44323723024 has 135 divisors (see below), whose sum is σ = 102278093013. Its totient is φ = 18553764096.

The previous prime is 44323723001. The next prime is 44323723063. The reversal of 44323723024 is 42032732344.

The square root of 44323723024 is 210532.

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

It can be written as a sum of positive squares in only one way, i.e., 25160304400 + 19163418624 = 158620^2 + 138432^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 430327357 + ... + 430327459.

Almost surely, 244323723024 is an apocalyptic number.

44323723024 is the 210532-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44323723024

44323723024 is an abundant number, since it is smaller than the sum of its proper divisors (57954369989).

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

44323723024 is an equidigital number, since it uses as much as digits as its factorization.

44323723024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 34.

The spelling of 44323723024 in words is "forty-four billion, three hundred twenty-three million, seven hundred twenty-three thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 73 98 103 112 146 196 206 292 392 412 511 584 721 784 824 1022 1168 1442 1648 2044 2884 3577 4088 5047 5329 5768 7154 7519 8176 10094 10609 10658 11536 14308 15038 20188 21218 21316 28616 30076 37303 40376 42436 42632 52633 57232 60152 74263 74606 80752 84872 85264 105266 120304 148526 149212 169744 210532 261121 297052 298424 368431 421064 519841 522242 548887 594104 596848 736862 774457 842128 1039682 1044484 1097774 1188208 1473724 1548914 2079364 2088968 2195548 2947448 3097828 3842209 4158728 4177936 4391096 5421199 5894896 6195656 7684418 8317456 8782192 10842398 12391312 15368836 21684796 26895463 30737672 37948393 43369592 53790926 56535361 61475344 75896786 86739184 107581852 113070722 151793572 215163704 226141444 303587144 395747527 430327408 452282888 607174288 791495054 904565776 1582990108 2770232689 3165980216 5540465378 6331960432 11080930756 22161861512 44323723024