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14244634757808 = 2434721321969857
BaseRepresentation
bin1100111101001001011001…
…1001010000101010110000
31212102202220002101021020000
43033102112121100222300
53331341002444222213
650143521142550000
73000066220443600
oct317222631205260
955382802337200
1014244634757808
1145a212aa66a84
121720857438300
137c43565c2400
143736304a4c00
1519a807bb5c73
hexcf496650ab0

14244634757808 has 900 divisors, whose sum is σ = 54666233625960. Its totient is φ = 3559048077312.

The previous prime is 14244634757803. The next prime is 14244634757887. The reversal of 14244634757808 is 80875743644241.

It is a happy number.

14244634757808 is a `hidden beast` number, since 1 + 4 + 2 + 4 + 463 + 47 + 57 + 80 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (14244634757803) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 203876416 + ... + 203946272.

Almost surely, 214244634757808 is an apocalyptic number.

14244634757808 is a gapful number since it is divisible by the number (18) 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 14244634757808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27333116812980).

14244634757808 is an abundant number, since it is smaller than the sum of its proper divisors (40421598868152).

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

14244634757808 is a wasteful number, since it uses less digits than its factorization.

14244634757808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69936 (or 69901 counting only the distinct ones).

The product of its (nonzero) digits is 144506880, while the sum is 63.

The spelling of 14244634757808 in words is "fourteen trillion, two hundred forty-four billion, six hundred thirty-four million, seven hundred fifty-seven thousand, eight hundred eight".