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14313531040 = 2552113591181
BaseRepresentation
bin11010101010010011…
…10010011010100000
31100221112102201022021
431111021302122200
5213303230443130
610324152351224
71014463002124
oct152511623240
940845381267
1014313531040
1160856847a6
1229356a5514
1314715667c3
1499adad584
1558b91637a
hex3552726a0

14313531040 has 96 divisors (see below), whose sum is σ = 34099470720. Its totient is φ = 5677593600.

The previous prime is 14313531013. The next prime is 14313531047. The reversal of 14313531040 is 4013531341.

It is a junction number, because it is equal to n+sod(n) for n = 14313530996 and 14313531014.

It is not an unprimeable number, because it can be changed into a prime (14313531047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12119250 + ... + 12120430.

It is an arithmetic number, because the mean of its divisors is an integer number (355202820).

Almost surely, 214313531040 is an apocalyptic number.

14313531040 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 14313531040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17049735360).

14313531040 is an abundant number, since it is smaller than the sum of its proper divisors (19785939680).

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

14313531040 is a wasteful number, since it uses less digits than its factorization.

14313531040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1766 (or 1758 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The spelling of 14313531040 in words is "fourteen billion, three hundred thirteen million, five hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 211 359 422 718 844 1055 1181 1436 1688 1795 2110 2362 2872 3376 3590 4220 4724 5744 5905 6752 7180 8440 9448 11488 11810 14360 16880 18896 23620 28720 33760 37792 47240 57440 75749 94480 151498 188960 249191 302996 378745 423979 498382 605992 757490 847958 996764 1211984 1245955 1514980 1695916 1993528 2119895 2423968 2491910 3029960 3391832 3987056 4239790 4983820 6059920 6783664 7974112 8479580 9967640 12119840 13567328 16959160 19935280 33918320 39870560 67836640 89459569 178919138 357838276 447297845 715676552 894595690 1431353104 1789191380 2862706208 3578382760 7156765520 14313531040