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14244102434401 = 729412753112213
BaseRepresentation
bin1100111101000111011010…
…1010100110111001100001
31212102201111222201102210021
43033101312222212321201
53331333410210400101
650143352245233441
73000050064663400
oct317216652467141
955381458642707
1014244102434401
1145a1987532584
121720729102881
137c42a0230948
143735bd8d7637
1519a7c60b55a1
hexcf476aa6e61

14244102434401 has 24 divisors (see below), whose sum is σ = 16593451793064. Its totient is φ = 12191717099520.

The previous prime is 14244102434389. The next prime is 14244102434417. The reversal of 14244102434401 is 10443420144241.

It can be written as a sum of positive squares in 4 ways, for example, as 4952115862225 + 9291986572176 = 2225335^2 + 3048276^2 .

It is not a de Polignac number, because 14244102434401 - 27 = 14244102434273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14244102434461) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126881971 + ... + 126994183.

It is an arithmetic number, because the mean of its divisors is an integer number (691393824711).

Almost surely, 214244102434401 is an apocalyptic number.

It is an amenable number.

14244102434401 is a deficient number, since it is larger than the sum of its proper divisors (2349349358663).

14244102434401 is a wasteful number, since it uses less digits than its factorization.

14244102434401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115921 (or 115914 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 34.

Adding to 14244102434401 its reverse (10443420144241), we get a palindrome (24687522578642).

The spelling of 14244102434401 in words is "fourteen trillion, two hundred forty-four billion, one hundred two million, four hundred thirty-four thousand, four hundred one".

Divisors: 1 7 49 941 2753 6587 19271 46109 112213 134897 785491 2590573 5498437 18134011 105592433 126938077 308922389 739147031 2162456723 5174029217 15137197061 290695968049 2034871776343 14244102434401