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14299960320 = 21034529241
BaseRepresentation
bin11010101000101100…
…00001010000000000
31100220120220020210000
431110112001100000
5213241242212240
610322545440000
71014236441262
oct152426012000
940816806700
1014299960320
116078a55928
122931040000
13146b7c48a9
14999279b32
1558a635430
hex354581400

14299960320 has 660 divisors, whose sum is σ = 54365315004. Its totient is φ = 3592028160.

The previous prime is 14299960309. The next prime is 14299960321. The reversal of 14299960320 is 2306999241.

It is a happy number.

14299960320 is a `hidden beast` number, since 14 + 2 + 9 + 9 + 9 + 603 + 20 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1489342464 + 12810617856 = 38592^2 + 113184^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14299960321) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 348779500 + ... + 348779540.

Almost surely, 214299960320 is an apocalyptic number.

14299960320 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 14299960320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27182657502).

14299960320 is an abundant number, since it is smaller than the sum of its proper divisors (40065354684).

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

14299960320 is an equidigital number, since it uses as much as digits as its factorization.

14299960320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 14299960320 in words is "fourteen billion, two hundred ninety-nine million, nine hundred sixty thousand, three hundred twenty".