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12342389640 = 23357174212053
BaseRepresentation
bin10110111111010100…
…11110101110001000
31011212011101100122020
423133222132232020
5200234122432030
65400420124440
7614566403160
oct133752365610
934764340566
1012342389640
115263a59019
122485536720
131219084a49
148512a75a0
154c3854510
hex2dfa9eb88

12342389640 has 256 divisors, whose sum is σ = 44934289920. Its totient is φ = 2647572480.

The previous prime is 12342389629. The next prime is 12342389669. The reversal of 12342389640 is 4698324321.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 12342389592 and 12342389601.

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, 6010854 + ... + 6012906.

It is an arithmetic number, because the mean of its divisors is an integer number (175524570).

Almost surely, 212342389640 is an apocalyptic number.

12342389640 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 12342389640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22467144960).

12342389640 is an abundant number, since it is smaller than the sum of its proper divisors (32591900280).

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

12342389640 is a wasteful number, since it uses less digits than its factorization.

12342389640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2512 (or 2508 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 12342389640 in words is "twelve billion, three hundred forty-two million, three hundred eighty-nine thousand, six hundred forty".