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12431400000 = 2635520719
BaseRepresentation
bin10111001001111100…
…00001110001000000
31012002100212112220020
423210332001301000
5200424414300000
65413320013440
7620030104455
oct134476016100
935070775806
1012431400000
1152aa2238a8
1224ab301280
13123164b3b6
1485d03782c
154cb587ba0
hex2e4f81c40

12431400000 has 168 divisors, whose sum is σ = 41113618560. Its totient is φ = 3314880000.

The previous prime is 12431399951. The next prime is 12431400013. The reversal of 12431400000 is 413421.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 589641 + ... + 610359.

It is an arithmetic number, because the mean of its divisors is an integer number (244723920).

Almost surely, 212431400000 is an apocalyptic number.

12431400000 is a gapful number since it is divisible by the number (10) 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 12431400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20556809280).

12431400000 is an abundant number, since it is smaller than the sum of its proper divisors (28682218560).

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

12431400000 is an frugal number, since it uses more digits than its factorization.

12431400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20759 (or 20729 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 12431400000 its reverse (413421), we get a palindrome (12431813421).

The spelling of 12431400000 in words is "twelve billion, four hundred thirty-one million, four hundred thousand".