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10143140304 = 24311172574397
BaseRepresentation
bin10010111001001010…
…00000100111010000
3222011220002220201010
421130211000213100
5131233120442204
64354254410520
7506233161423
oct113445004720
928156086633
1010143140304
1143355a1490
121b70b00a40
13c58556c8b
146c31839ba
153e5734d89
hex25c9409d0

10143140304 has 160 divisors (see below), whose sum is σ = 30391376256. Its totient is φ = 2880962560.

The previous prime is 10143140261. The next prime is 10143140317. The reversal of 10143140304 is 40304134101.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2304634 + ... + 2309030.

Almost surely, 210143140304 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 10143140304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15195688128).

10143140304 is an abundant number, since it is smaller than the sum of its proper divisors (20248235952).

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

10143140304 is a wasteful number, since it uses less digits than its factorization.

10143140304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4693 (or 4687 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 10143140304 its reverse (40304134101), we get a palindrome (50447274405).

The spelling of 10143140304 in words is "ten billion, one hundred forty-three million, one hundred forty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 33 34 44 48 51 66 68 88 102 132 136 176 187 204 257 264 272 374 408 514 528 561 748 771 816 1028 1122 1496 1542 2056 2244 2827 2992 3084 4112 4369 4397 4488 5654 6168 8481 8738 8794 8976 11308 12336 13107 13191 16962 17476 17588 22616 26214 26382 33924 34952 35176 45232 48059 48367 52428 52764 67848 69904 70352 74749 96118 96734 104856 105528 135696 144177 145101 149498 192236 193468 209712 211056 224247 288354 290202 298996 384472 386936 448494 576708 580404 597992 768944 773872 822239 896988 1130029 1153416 1160808 1195984 1644478 1793976 2260058 2306832 2321616 2466717 3288956 3390087 3587952 4520116 4933434 6577912 6780174 9040232 9866868 12430319 13155824 13560348 18080464 19210493 19733736 24860638 27120696 37290957 38420986 39467472 49721276 54241392 57631479 74581914 76841972 99442552 115262958 149163828 153683944 198885104 211315423 230525916 298327656 307367888 422630846 461051832 596655312 633946269 845261692 922103664 1267892538 1690523384 2535785076 3381046768 5071570152 10143140304