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12310413440 = 275131479617
BaseRepresentation
bin10110111011100001…
…00000000010000000
31011202221012210112112
423131300200002000
5200202431212230
65353314514452
7614030534123
oct133560400200
934687183475
1012310413440
1152479a8906
122476895a28
13121256a410
1484ad423ba
154c0b39d95
hex2ddc20080

12310413440 has 64 divisors (see below), whose sum is σ = 31693417560. Its totient is φ = 4545380352.

The previous prime is 12310413421. The next prime is 12310413461. The reversal of 12310413440 is 4431401321.

It can be written as a sum of positive squares in 4 ways, for example, as 11292037696 + 1018375744 = 106264^2 + 31912^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 731489 + ... + 748128.

Almost surely, 212310413440 is an apocalyptic number.

12310413440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12310413440 is an abundant number, since it is smaller than the sum of its proper divisors (19383004120).

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

12310413440 is a wasteful number, since it uses less digits than its factorization.

12310413440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1479649 (or 1479637 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 12310413440 its reverse (4431401321), we get a palindrome (16741814761).

The spelling of 12310413440 in words is "twelve billion, three hundred ten million, four hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 260 320 416 520 640 832 1040 1664 2080 4160 8320 1479617 2959234 5918468 7398085 11836936 14796170 19235021 23673872 29592340 38470042 47347744 59184680 76940084 94695488 96175105 118369360 153880168 189390976 192350210 236738720 307760336 384700420 473477440 615520672 769400840 946954880 1231041344 1538801680 2462082688 3077603360 6155206720 12310413440