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14311390500 = 22335311175669
BaseRepresentation
bin11010101010000011…
…00111110100100100
31100221101101222001000
431111001213310210
5213302203444000
610324034433300
71014435545361
oct152501476444
940841358030
1014311390500
116084452560
122934a32830
131470c97404
1499a9b3468
1558b642000
hex355067d24

14311390500 has 384 divisors, whose sum is σ = 53495769600. Its totient is φ = 3264768000.

The previous prime is 14311390477. The next prime is 14311390507. The reversal of 14311390500 is 509311341.

14311390500 is a `hidden beast` number, since 1 + 43 + 113 + 9 + 0 + 500 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (14311390507) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2521666 + ... + 2527334.

It is an arithmetic number, because the mean of its divisors is an integer number (139311900).

Almost surely, 214311390500 is an apocalyptic number.

14311390500 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 14311390500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26747884800).

14311390500 is an abundant number, since it is smaller than the sum of its proper divisors (39184379100).

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

14311390500 is a wasteful number, since it uses less digits than its factorization.

14311390500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5725 (or 5707 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

It can be divided in two parts, 1431 and 1390500, that added together give a palindrome (1391931).

The spelling of 14311390500 in words is "fourteen billion, three hundred eleven million, three hundred ninety thousand, five hundred".