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14244732521514 = 233111731449101347
BaseRepresentation
bin1100111101001001110000…
…1110001100110000101010
31212102210010220100011211000
43033102130032030300222
53331341203011142024
650143534554215430
73000101515433145
oct317223416146052
955383126304730
1014244732521514
1145a2180170330
121720884124576
137c4370932061
1437363d47305c
1519a811577cc9
hexcf49c38cc2a

14244732521514 has 256 divisors, whose sum is σ = 37827938304000. Its totient is φ = 3922819891200.

The previous prime is 14244732521507. The next prime is 14244732521519. The reversal of 14244732521514 is 41512523744241.

14244732521514 is a `hidden beast` number, since 1 + 4 + 2 + 4 + 4 + 73 + 2 + 521 + 51 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 14244732521514.

It is not an unprimeable number, because it can be changed into a prime (14244732521519) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 140503389 + ... + 140604735.

It is an arithmetic number, because the mean of its divisors is an integer number (147765384000).

Almost surely, 214244732521514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14244732521514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18913969152000).

14244732521514 is an abundant number, since it is smaller than the sum of its proper divisors (23583205782486).

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

14244732521514 is a wasteful number, since it uses less digits than its factorization.

14244732521514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101866 (or 101860 counting only the distinct ones).

The product of its digits is 1075200, while the sum is 45.

The spelling of 14244732521514 in words is "fourteen trillion, two hundred forty-four billion, seven hundred thirty-two million, five hundred twenty-one thousand, five hundred fourteen".