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11431214340 = 2235713191011091
BaseRepresentation
bin10101010010101101…
…00111110100000100
31002111122211212002220
422221112213310010
5141402342324330
65130150332340
7553163501340
oct125126476404
932448755086
1011431214340
114936693587
12227035a0b0
131102377870
147a627c620
1546d86b710
hex2a95a7d04

11431214340 has 384 divisors, whose sum is σ = 41916026880. Its totient is φ = 2260224000.

The previous prime is 11431214339. The next prime is 11431214351. The reversal of 11431214340 is 4341213411.

It is a super-2 number, since 2×114312143402 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11431214340.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10477195 + ... + 10478285.

It is an arithmetic number, because the mean of its divisors is an integer number (109156320).

Almost surely, 211431214340 is an apocalyptic number.

11431214340 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 11431214340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20958013440).

11431214340 is an abundant number, since it is smaller than the sum of its proper divisors (30484812540).

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

11431214340 is a wasteful number, since it uses less digits than its factorization.

11431214340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1243 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 11431214340 its reverse (4341213411), we get a palindrome (15772427751).

The spelling of 11431214340 in words is "eleven billion, four hundred thirty-one million, two hundred fourteen thousand, three hundred forty".