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12440244740 = 2257113101661
BaseRepresentation
bin10111001010111111…
…10001001000000100
31012002222111220121012
423211133301020010
5200434200312430
65414233341352
7620165223050
oct134537611004
935088456535
1012440244740
115304215000
1224b2267858
131233427181
1486029ac60
154cc233695
hex2e57f1204

12440244740 has 192 divisors, whose sum is σ = 33215325696. Its totient is φ = 3833280000.

The previous prime is 12440244701. The next prime is 12440244763. The reversal of 12440244740 is 4744204421.

It is a junction number, because it is equal to n+sod(n) for n = 12440244697 and 12440244706.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18820010 + ... + 18820670.

It is an arithmetic number, because the mean of its divisors is an integer number (172996488).

Almost surely, 212440244740 is an apocalyptic number.

12440244740 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 12440244740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16607662848).

12440244740 is an abundant number, since it is smaller than the sum of its proper divisors (20775080956).

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

12440244740 is a wasteful number, since it uses less digits than its factorization.

12440244740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 32.

The spelling of 12440244740 in words is "twelve billion, four hundred forty million, two hundred forty-four thousand, seven hundred forty".