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12531440340 = 223457735457
BaseRepresentation
bin10111010101110111…
…01001101011010100
31012100100010010110000
423222323221223110
5201131022042330
65431252131300
7622353325326
oct135273515324
935310103400
1012531440340
115350742671
122518906b30
1312492a7373
1486c439616
154d5249560
hex2eaee9ad4

12531440340 has 60 divisors (see below), whose sum is σ = 39311597556. Its totient is φ = 3341716992.

The previous prime is 12531440323. The next prime is 12531440407. The reversal of 12531440340 is 4304413521.

It is a happy number.

12531440340 is a `hidden beast` number, since 1 + 2 + 5 + 314 + 4 + 0 + 340 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7567956036 + 4963484304 = 86994^2 + 70452^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3866109 + ... + 3869348.

Almost surely, 212531440340 is an apocalyptic number.

12531440340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12531440340 is an abundant number, since it is smaller than the sum of its proper divisors (26780157216).

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

12531440340 is a wasteful number, since it uses less digits than its factorization.

12531440340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7735478 (or 7735467 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 12531440340 its reverse (4304413521), we get a palindrome (16835853861).

The spelling of 12531440340 in words is "twelve billion, five hundred thirty-one million, four hundred forty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 7735457 15470914 23206371 30941828 38677285 46412742 69619113 77354570 92825484 116031855 139238226 154709140 208857339 232063710 278476452 348095565 417714678 464127420 626572017 696191130 835429356 1044286695 1253144034 1392382260 2088573390 2506288068 3132860085 4177146780 6265720170 12531440340