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11341514340 = 22325134846801
BaseRepresentation
bin10101001000000000…
…11100011001100100
31002021102001121211200
422210000130121210
5141211411424330
65113224002500
7551024165322
oct124400343144
932242047750
1011341514340
11489aa97652
122246300430
1310b98cc340
147983acd12
15465a4da60
hex2a401c664

11341514340 has 72 divisors (see below), whose sum is σ = 37048954488. Its totient is φ = 2791756800.

The previous prime is 11341514323. The next prime is 11341514377. The reversal of 11341514340 is 4341514311.

11341514340 is a `hidden beast` number, since 113 + 4 + 1 + 514 + 34 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15872256 + 11325642084 = 3984^2 + 106422^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2421061 + ... + 2425740.

Almost surely, 211341514340 is an apocalyptic number.

11341514340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11341514340 is an abundant number, since it is smaller than the sum of its proper divisors (25707440148).

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

11341514340 is a wasteful number, since it uses less digits than its factorization.

11341514340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4846829 (or 4846824 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 11341514340 in words is "eleven billion, three hundred forty-one million, five hundred fourteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 4846801 9693602 14540403 19387204 24234005 29080806 43621209 48468010 58161612 63008413 72702015 87242418 96936020 126016826 145404030 174484836 189025239 218106045 252033652 290808060 315042065 378050478 436212090 567075717 630084130 756100956 872424180 945126195 1134151434 1260168260 1890252390 2268302868 2835378585 3780504780 5670757170 11341514340