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4044405316 = 227279269971
BaseRepresentation
bin1111000100010000…
…1011101001000100
3101102212021002002111
43301010023221010
531240331432231
61505153350404
7202136610100
oct36104135104
911385232074
104044405316
111795a63636
1294a568404
134c5b9b453
142a51d2900
1518a0e74b1
hexf110ba44

4044405316 has 72 divisors (see below), whose sum is σ = 8377084800. Its totient is φ = 1703257920.

The previous prime is 4044405293. The next prime is 4044405329. The reversal of 4044405316 is 6135044404.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4164711 + ... + 4165681.

It is an arithmetic number, because the mean of its divisors is an integer number (116348400).

Almost surely, 24044405316 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 4044405316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4188542400).

4044405316 is an abundant number, since it is smaller than the sum of its proper divisors (4332679484).

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

4044405316 is a wasteful number, since it uses less digits than its factorization.

4044405316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

The square root of 4044405316 is about 63595.6391272232. The cubic root of 4044405316 is about 1593.2535354297.

The spelling of 4044405316 in words is "four billion, forty-four million, four hundred five thousand, three hundred sixteen".

Divisors: 1 2 4 7 14 28 49 79 98 158 196 269 316 538 553 971 1076 1106 1883 1942 2212 3766 3871 3884 6797 7532 7742 13181 13594 15484 21251 26362 27188 42502 47579 52724 76709 85004 95158 148757 153418 190316 261199 297514 306836 522398 536963 595028 1041299 1044796 1073926 1828393 2082598 2147852 3656786 3758741 4165196 7313572 7517482 12798751 15034964 20634721 25597502 41269442 51195004 82538884 144443047 288886094 577772188 1011101329 2022202658 4044405316