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13960115130 = 23513179311643
BaseRepresentation
bin11010000000001011…
…00111001110111010
31100000220102022211010
431000011213032322
5212042242141010
610225125414350
71002642010053
oct150005471672
940026368733
1013960115130
115a14137135
12285726a3b6
131416285870
1496609372a
1556a8a5620
hex3401673ba

13960115130 has 128 divisors (see below), whose sum is σ = 36456376320. Its totient is φ = 3400853760.

The previous prime is 13960115129. The next prime is 13960115153. The reversal of 13960115130 is 3151106931.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21710589 + ... + 21711231.

It is an arithmetic number, because the mean of its divisors is an integer number (284815440).

Almost surely, 213960115130 is an apocalyptic number.

13960115130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13960115130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18228188160).

13960115130 is an abundant number, since it is smaller than the sum of its proper divisors (22496261190).

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

13960115130 is a wasteful number, since it uses less digits than its factorization.

13960115130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1156.

The product of its (nonzero) digits is 2430, while the sum is 30.

The spelling of 13960115130 in words is "thirteen billion, nine hundred sixty million, one hundred fifteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 179 195 311 358 390 537 622 643 895 933 1074 1286 1555 1790 1866 1929 2327 2685 3110 3215 3858 4043 4654 4665 5370 6430 6981 8086 8359 9330 9645 11635 12129 13962 16718 19290 20215 23270 24258 25077 34905 40430 41795 50154 55669 60645 69810 83590 111338 115097 121290 125385 167007 199973 230194 250770 278345 334014 345291 399946 556690 575485 599919 690582 723697 835035 999865 1150970 1199838 1447394 1496261 1670070 1726455 1999730 2171091 2599649 2992522 2999595 3452910 3618485 4342182 4488783 5199298 5999190 7236970 7481305 7798947 8977566 10855455 12998245 14962610 15597894 21710910 22443915 25996490 35795167 38994735 44887830 71590334 77989470 107385501 178975835 214771002 357951670 465337171 536927505 930674342 1073855010 1396011513 2326685855 2792023026 4653371710 6980057565 13960115130