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14131413140 = 2251354351589
BaseRepresentation
bin11010010100100110…
…00100000010010100
31100110211202011111212
431022103010002110
5212420120210030
610254125120552
71010122013135
oct151223040224
940424664455
1014131413140
115aa18a5939
1228a46b9158
131442900930
14980b23c8c
1557a940595
hex34a4c4094

14131413140 has 24 divisors (see below), whose sum is σ = 31958734920. Its totient is φ = 5217752448.

The previous prime is 14131413119. The next prime is 14131413193. The reversal of 14131413140 is 4131413141.

It can be written as a sum of positive squares in 4 ways, for example, as 1811716 + 14129601424 = 1346^2 + 118868^2 .

It is a super-3 number, since 3×141314131403 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27175535 + ... + 27176054.

It is an arithmetic number, because the mean of its divisors is an integer number (1331613955).

Almost surely, 214131413140 is an apocalyptic number.

14131413140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14131413140 is an abundant number, since it is smaller than the sum of its proper divisors (17827321780).

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

14131413140 is a wasteful number, since it uses less digits than its factorization.

14131413140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54351611 (or 54351609 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 14131413140 its reverse (4131413141), we get a palindrome (18262826281).

Subtracting from 14131413140 its reverse (4131413141), we obtain a palindrome (9999999999).

The spelling of 14131413140 in words is "fourteen billion, one hundred thirty-one million, four hundred thirteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 54351589 108703178 217406356 271757945 543515890 706570657 1087031780 1413141314 2826282628 3532853285 7065706570 14131413140