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14380498944 = 21636743
BaseRepresentation
bin11010110010010010…
…10000000000000000
31101010012110001000000
431121021100000000
5213422401431234
610334544000000
71016235136620
oct153111200000
941105401000
1014380498944
11610a464779
122954000000
1314823b3196
149a5c42880
15592743899
hex359250000

14380498944 has 476 divisors, whose sum is σ = 50427732256. Its totient is φ = 4013162496.

The previous prime is 14380498943. The next prime is 14380498963. The reversal of 14380498944 is 44989408341.

14380498944 is a `hidden beast` number, since 143 + 8 + 0 + 498 + 9 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14380498943) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 334430187 + ... + 334430229.

Almost surely, 214380498944 is an apocalyptic number.

14380498944 is a gapful number since it is divisible by the number (14) 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 14380498944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25213866128).

14380498944 is an abundant number, since it is smaller than the sum of its proper divisors (36047233312).

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

14380498944 is an frugal number, since it uses more digits than its factorization.

14380498944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 14380498944 in words is "fourteen billion, three hundred eighty million, four hundred ninety-eight thousand, nine hundred forty-four".