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14399641620 = 22335713222541
BaseRepresentation
bin11010110100100100…
…10001100000010100
31101011112110120211000
431122102101200110
5213442302012440
610340510143300
71016556635310
oct153222214024
941145416730
1014399641620
11611a249971
12295a4b1b30
131486356300
149a85c6b40
15594275730
hex35a491814

14399641620 has 288 divisors, whose sum is σ = 55442499840. Its totient is φ = 3038031360.

The previous prime is 14399641583. The next prime is 14399641667. The reversal of 14399641620 is 2614699341.

14399641620 is a `hidden beast` number, since 14 + 3 + 9 + 9 + 6 + 4 + 1 + 620 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 627550 + ... + 650090.

It is an arithmetic number, because the mean of its divisors is an integer number (192508680).

Almost surely, 214399641620 is an apocalyptic number.

14399641620 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 14399641620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27721249920).

14399641620 is an abundant number, since it is smaller than the sum of its proper divisors (41042858220).

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

14399641620 is a wasteful number, since it uses less digits than its factorization.

14399641620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22592 (or 22571 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 14399641620 in words is "fourteen billion, three hundred ninety-nine million, six hundred forty-one thousand, six hundred twenty".