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1149063344 = 241113618233
BaseRepresentation
bin100010001111101…
…0101000010110000
32222002011110120122
41010133111002300
54323130011334
6310004225412
740321606622
oct10437250260
92862143518
101149063344
1153a686330
1228099b268
1315409b950
14ac870c12
156ad2832e
hex447d50b0

1149063344 has 80 divisors (see below), whose sum is σ = 2658725664. Its totient is φ = 474163200.

The previous prime is 1149063343. The next prime is 1149063347. The reversal of 1149063344 is 4433609411.

It is not an unprimeable number, because it can be changed into a prime (1149063343) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 135452 + ... + 143684.

Almost surely, 21149063344 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 1149063344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1329362832).

1149063344 is an abundant number, since it is smaller than the sum of its proper divisors (1509662320).

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

1149063344 is a wasteful number, since it uses less digits than its factorization.

1149063344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8326 (or 8320 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The square root of 1149063344 is about 33897.8368631392. The cubic root of 1149063344 is about 1047.4050339685.

The spelling of 1149063344 in words is "one billion, one hundred forty-nine million, sixty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 61 88 104 122 143 176 208 244 286 488 572 671 793 976 1144 1342 1586 2288 2684 3172 5368 6344 8233 8723 10736 12688 16466 17446 32932 34892 65864 69784 90563 107029 131728 139568 181126 214058 362252 428116 502213 724504 856232 1004426 1177319 1449008 1712464 2008852 2354638 4017704 4709276 5524343 6528769 8035408 9418552 11048686 13057538 18837104 22097372 26115076 44194744 52230152 71816459 88389488 104460304 143632918 287265836 574531672 1149063344