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1040799144 = 2337111095167
BaseRepresentation
bin111110000010010…
…101010110101000
32200112110002000110
4332002111112220
54112421033034
6251135534320
734535434560
oct7602252650
92615402013
101040799144
1149455a890
1225068a3a0
131378236a8
149c32bda0
156158ede9
hex3e0955a8

1040799144 has 128 divisors (see below), whose sum is σ = 3274444800. Its totient is φ = 267805440.

The previous prime is 1040799139. The next prime is 1040799187. The reversal of 1040799144 is 4419970401.

It is a super-2 number, since 2×10407991442 = 2166525716302265472, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 198849 + ... + 204015.

It is an arithmetic number, because the mean of its divisors is an integer number (25581600).

Almost surely, 21040799144 is an apocalyptic number.

1040799144 is a gapful number since it is divisible by the number (14) 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 1040799144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637222400).

1040799144 is an abundant number, since it is smaller than the sum of its proper divisors (2233645656).

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

1040799144 is a wasteful number, since it uses less digits than its factorization.

1040799144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5303 (or 5299 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 1040799144 is about 32261.4188156690. The cubic root of 1040799144 is about 1013.4188438728.

The spelling of 1040799144 in words is "one billion, forty million, seven hundred ninety-nine thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 109 132 154 168 218 231 264 308 327 436 462 616 654 763 872 924 1199 1308 1526 1848 2289 2398 2616 3052 3597 4578 4796 5167 6104 7194 8393 9156 9592 10334 14388 15501 16786 18312 20668 25179 28776 31002 33572 36169 41336 50358 56837 62004 67144 72338 100716 108507 113674 124008 144676 170511 201432 217014 227348 289352 341022 397859 434028 454696 563203 682044 795718 868056 1126406 1193577 1364088 1591436 1689609 2252812 2387154 3182872 3379218 3942421 4505624 4774308 6195233 6758436 7884842 9548616 11827263 12390466 13516872 15769684 18585699 23654526 24780932 31539368 37171398 43366631 47309052 49561864 74342796 86733262 94618104 130099893 148685592 173466524 260199786 346933048 520399572 1040799144