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14244737472 = 263272569887
BaseRepresentation
bin11010100010000110…
…10111000111000000
31100202201222122021100
431101003113013000
5213133123044342
610313254054400
71012666161600
oct152103270700
940681878240
1014244737472
11604a868109
12291664a400
13146022b154
14991bc2c00
15585877e4c
hex3510d71c0

14244737472 has 252 divisors, whose sum is σ = 47633199120. Its totient is φ = 4058191872.

The previous prime is 14244737471. The next prime is 14244737477. The reversal of 14244737472 is 27473744241.

14244737472 is a `hidden beast` number, since 1 + 42 + 4 + 473 + 74 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14244737471) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16059013 + ... + 16059899.

Almost surely, 214244737472 is an apocalyptic number.

14244737472 is a gapful number since it is divisible by the number (12) 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 14244737472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23816599560).

14244737472 is an abundant number, since it is smaller than the sum of its proper divisors (33388461648).

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

14244737472 is a wasteful number, since it uses less digits than its factorization.

14244737472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1488 (or 1468 counting only the distinct ones).

The product of its digits is 1053696, while the sum is 45.

The spelling of 14244737472 in words is "fourteen billion, two hundred forty-four million, seven hundred thirty-seven thousand, four hundred seventy-two".