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14244310080 = 263657111361
BaseRepresentation
bin11010100010000011…
…01110110001000000
31100202201011221000000
431101001232301000
5213133020410310
610313241000000
71012662431550
oct152101566100
940681157000
1014244310080
11604a5a5aa0
122916483000
13146010b760
14991b11160
155857e14c0
hex35106ec40

14244310080 has 1568 divisors, whose sum is σ = 69401058048. Its totient is φ = 2687385600.

The previous prime is 14244310079. The next prime is 14244310097. The reversal of 14244310080 is 8001344241.

14244310080 is a `hidden beast` number, since 1 + 42 + 443 + 100 + 80 = 666.

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

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 223 ways as a sum of consecutive naturals, for example, 233513250 + ... + 233513310.

Almost surely, 214244310080 is an apocalyptic number.

14244310080 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 14244310080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34700529024).

14244310080 is an abundant number, since it is smaller than the sum of its proper divisors (55156747968).

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

14244310080 is a wasteful number, since it uses less digits than its factorization.

14244310080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 14244310080 in words is "fourteen billion, two hundred forty-four million, three hundred ten thousand, eighty".