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6444136314446 = 210191135018293
BaseRepresentation
bin101110111000110010001…
…1101001011011001001110
3211211001102221101000002212
41131301210131023121032
51321040042344030241
621412221221350422
71233400463616605
oct135614435133116
924731387330085
106444136314446
112064a40a51086
12880b00268412
133798aa98ba1c
14183c7da38a3c
15b2960567beb
hex5dc6474b64e

6444136314446 has 16 divisors (see below), whose sum is σ = 9772625343168. Its totient is φ = 3186664572000.

The previous prime is 6444136314437. The next prime is 6444136314449.

6444136314446 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 6444136314394 and 6444136314403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6444136314449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17325125 + ... + 17693168.

It is an arithmetic number, because the mean of its divisors is an integer number (610789083948).

Almost surely, 26444136314446 is an apocalyptic number.

6444136314446 is a deficient number, since it is larger than the sum of its proper divisors (3328489028722).

6444136314446 is a wasteful number, since it uses less digits than its factorization.

6444136314446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35019307.

The product of its digits is 7962624, while the sum is 50.

The spelling of 6444136314446 in words is "six trillion, four hundred forty-four billion, one hundred thirty-six million, three hundred fourteen thousand, four hundred forty-six".

Divisors: 1 2 101 202 911 1822 92011 184022 35018293 70036586 3536847593 7073695186 31901664923 63803329846 3222068157223 6444136314446