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131514641140 = 2256575732057
BaseRepresentation
bin111101001111011100…
…0100010101011110100
3110120110110222222122211
41322132320202223310
54123320222004030
6140230023103204
712334025001511
oct1723670425364
9416413888584
10131514641140
115085864a473
12215a3ba1b04
13c52b921cac
146518700308
15364ad0112a
hex1e9ee22af4

131514641140 has 12 divisors (see below), whose sum is σ = 276180746436. Its totient is φ = 52605856448.

The previous prime is 131514641129. The next prime is 131514641189. The reversal of 131514641140 is 41146415131.

It can be written as a sum of positive squares in 2 ways, for example, as 36991598224 + 94523042916 = 192332^2 + 307446^2 .

It is a super-2 number, since 2×1315146411402 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3287866009 + ... + 3287866048.

It is an arithmetic number, because the mean of its divisors is an integer number (23015062203).

Almost surely, 2131514641140 is an apocalyptic number.

131514641140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131514641140 is an abundant number, since it is smaller than the sum of its proper divisors (144666105296).

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

131514641140 is a wasteful number, since it uses less digits than its factorization.

131514641140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6575732066 (or 6575732064 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The spelling of 131514641140 in words is "one hundred thirty-one billion, five hundred fourteen million, six hundred forty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 6575732057 13151464114 26302928228 32878660285 65757320570 131514641140