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12312413344 = 2571131359449
BaseRepresentation
bin10110111011110000…
…01000010010100000
31011210001222101220001
423131320020102200
5200203434211334
65353425425344
7614053533550
oct133570102240
934701871801
1012312413344
115249044420
12247749b254
131212aba7aa
1484b303160
154c0dd2714
hex2dde084a0

12312413344 has 192 divisors, whose sum is σ = 31352832000. Its totient is φ = 4619059200.

The previous prime is 12312413341. The next prime is 12312413357. The reversal of 12312413344 is 44331421321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (12312413341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27421632 + ... + 27422080.

It is an arithmetic number, because the mean of its divisors is an integer number (163296000).

Almost surely, 212312413344 is an apocalyptic number.

12312413344 is a gapful number since it is divisible by the number (14) 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 12312413344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15676416000).

12312413344 is an abundant number, since it is smaller than the sum of its proper divisors (19040418656).

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

12312413344 is a wasteful number, since it uses less digits than its factorization.

12312413344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867 (or 859 counting only the distinct ones).

The product of its digits is 6912, while the sum is 28.

Adding to 12312413344 its reverse (44331421321), we get a palindrome (56643834665).

The spelling of 12312413344 in words is "twelve billion, three hundred twelve million, four hundred thirteen thousand, three hundred forty-four".