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10043131344 = 24317101233523
BaseRepresentation
bin10010101101001111…
…00000010111010000
3221220220220221012120
421112213200113100
5131032020200334
64340323054240
7503610131211
oct112647402720
927826827176
1010043131344
1142940a4254
121b43511380
13c4090c38c
146b3b8d408
153dba7c949
hex2569e05d0

10043131344 has 160 divisors (see below), whose sum is σ = 27915249024. Its totient is φ = 3100262400.

The previous prime is 10043131339. The next prime is 10043131363. The reversal of 10043131344 is 44313134001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 19202667 + ... + 19203189.

Almost surely, 210043131344 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 10043131344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13957624512).

10043131344 is an abundant number, since it is smaller than the sum of its proper divisors (17872117680).

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

10043131344 is a wasteful number, since it uses less digits than its factorization.

10043131344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10043131344 its reverse (44313134001), we get a palindrome (54356265345).

The spelling of 10043131344 in words is "ten billion, forty-three million, one hundred thirty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 101 102 136 202 204 233 272 303 404 408 466 523 606 699 808 816 932 1046 1212 1398 1569 1616 1717 1864 2092 2424 2796 3138 3434 3728 3961 4184 4848 5151 5592 6276 6868 7922 8368 8891 10302 11184 11883 12552 13736 15844 17782 20604 23533 23766 25104 26673 27472 31688 35564 41208 47066 47532 52823 53346 63376 70599 71128 82416 94132 95064 105646 106692 121859 141198 142256 158469 188264 190128 211292 213384 243718 282396 316938 365577 376528 400061 422584 426768 487436 564792 633876 731154 800122 845168 897991 974872 1129584 1200183 1267752 1462308 1600244 1795982 1949744 2071603 2400366 2535504 2693973 2924616 3200488 3591964 4143206 4800732 5387946 5849232 6214809 6400976 7183928 8286412 9601464 10775892 12307759 12429618 14367856 16572824 19202928 21551784 24615518 24859236 33145648 36923277 43103568 49231036 49718472 73846554 98462072 99436944 147693108 196924144 209231903 295386216 418463806 590772432 627695709 836927612 1255391418 1673855224 2510782836 3347710448 5021565672 10043131344