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15131023040 = 265730722003
BaseRepresentation
bin11100001011110000…
…10001011011000000
31110001111200121111202
432011320101123000
5221442020214130
610541234200332
71043650400540
oct160570213300
943044617452
1015131023040
116465082621
122b234230a8
131571a32393
14a377ad320
155d8596145
hex385e116c0

15131023040 has 112 divisors (see below), whose sum is σ = 41314006272. Its totient is φ = 5170646016.

The previous prime is 15131023007. The next prime is 15131023091. The reversal of 15131023040 is 4032013151.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 676679 + ... + 698681.

It is an arithmetic number, because the mean of its divisors is an integer number (368875056).

Almost surely, 215131023040 is an apocalyptic number.

15131023040 is a gapful number since it is divisible by the number (10) 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 15131023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20657003136).

15131023040 is an abundant number, since it is smaller than the sum of its proper divisors (26182983232).

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

15131023040 is a wasteful number, since it uses less digits than its factorization.

15131023040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22334 (or 22324 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 15131023040 its reverse (4032013151), we get a palindrome (19163036191).

The spelling of 15131023040 in words is "fifteen billion, one hundred thirty-one million, twenty-three thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 307 320 448 560 614 1120 1228 1535 2149 2240 2456 3070 4298 4912 6140 8596 9824 10745 12280 17192 19648 21490 22003 24560 34384 42980 44006 49120 68768 85960 88012 98240 110015 137536 154021 171920 176024 220030 308042 343840 352048 440060 616084 687680 704096 770105 880120 1232168 1408192 1540210 1760240 2464336 3080420 3520480 4928672 6160840 6754921 7040960 9857344 12321680 13509842 24643360 27019684 33774605 47284447 49286720 54039368 67549210 94568894 108078736 135098420 189137788 216157472 236422235 270196840 378275576 432314944 472844470 540393680 756551152 945688940 1080787360 1513102304 1891377880 2161574720 3026204608 3782755760 7565511520 15131023040