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15140431320 = 2335759305497
BaseRepresentation
bin11100001100111000…
…01010010111011000
31110002011101121020120
432012130022113120
5222001422300240
610542211553240
71044123354120
oct160634122730
943064347216
1015140431320
11646a419163
122b265bb820
131573977801
14a38b3bc80
155d9303ad0
hex38670a5d8

15140431320 has 128 divisors (see below), whose sum is σ = 52790054400. Its totient is φ = 3402003456.

The previous prime is 15140431309. The next prime is 15140431351. The reversal of 15140431320 is 2313404151.

It is a happy number.

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, 103189 + ... + 202308.

It is an arithmetic number, because the mean of its divisors is an integer number (412422300).

Almost surely, 215140431320 is an apocalyptic number.

15140431320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15140431320 is an abundant number, since it is smaller than the sum of its proper divisors (37649623080).

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

15140431320 is a wasteful number, since it uses less digits than its factorization.

15140431320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305577 (or 305573 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 15140431320 its reverse (2313404151), we get a palindrome (17453835471).

The spelling of 15140431320 in words is "fifteen billion, one hundred forty million, four hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 59 60 70 84 105 118 120 140 168 177 210 236 280 295 354 413 420 472 590 708 826 840 885 1180 1239 1416 1652 1770 2065 2360 2478 3304 3540 4130 4956 6195 7080 8260 9912 12390 16520 24780 49560 305497 610994 916491 1221988 1527485 1832982 2138479 2443976 3054970 3665964 4276958 4582455 6109940 6415437 7331928 8553916 9164910 10692395 12219880 12830874 17107832 18024323 18329820 21384790 25661748 32077185 36048646 36659640 42769580 51323496 54072969 64154370 72097292 85539160 90121615 108145938 126170261 128308740 144194584 180243230 216291876 252340522 256617480 270364845 360486460 378510783 432583752 504681044 540729690 630851305 720972920 757021566 1009362088 1081459380 1261702610 1514043132 1892553915 2162918760 2523405220 3028086264 3785107830 5046810440 7570215660 15140431320