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12303414240 = 25351310918089
BaseRepresentation
bin10110111010101011…
…10011001111100000
31011202110001012102220
423131111303033200
5200144133223430
65352504511040
7613614203235
oct133525631740
934673035386
1012303414240
115243a58247
12247447b480
131210c89690
1484a03d78c
154c0206110
hex2dd5733e0

12303414240 has 192 divisors, whose sum is σ = 42122203200. Its totient is φ = 3000582144.

The previous prime is 12303414217. The next prime is 12303414241. The reversal of 12303414240 is 4241430321.

It is a super-2 number, since 2×123034142402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12303414240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12303414241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 671116 + ... + 689204.

It is an arithmetic number, because the mean of its divisors is an integer number (219386475).

Almost surely, 212303414240 is an apocalyptic number.

12303414240 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 12303414240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21061101600).

12303414240 is an abundant number, since it is smaller than the sum of its proper divisors (29818788960).

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

12303414240 is a wasteful number, since it uses less digits than its factorization.

12303414240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18229 (or 18221 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 12303414240 its reverse (4241430321), we get a palindrome (16544844561).

The spelling of 12303414240 in words is "twelve billion, three hundred three million, four hundred fourteen thousand, two hundred forty".