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443142002131323 = 31167812831969929
BaseRepresentation
bin110010011000010010000100…
…1100111110100000101111011
32011010000221222001112002111120
41210300210021213310011323
5431040414310021200243
64210252343025200323
7162224644630322145
oct14460441147640573
92133027861462446
10443142002131323
11119220516573470
124184ba7ba900a3
131603615ac49891
147b6028a0d9c95
153637218e44c83
hex19309099f417b

443142002131323 has 32 divisors (see below), whose sum is σ = 644697223833600. Its totient is φ = 268517981702400.

The previous prime is 443142002131271. The next prime is 443142002131331. The reversal of 443142002131323 is 323131200241344.

It is not a de Polignac number, because 443142002131323 - 218 = 443142001869179 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (443142002131343) 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 31 ways as a sum of consecutive naturals, for example, 6336992623 + ... + 6337062551.

It is an arithmetic number, because the mean of its divisors is an integer number (20146788244800).

Almost surely, 2443142002131323 is an apocalyptic number.

443142002131323 is a deficient number, since it is larger than the sum of its proper divisors (201555221702277).

443142002131323 is a wasteful number, since it uses less digits than its factorization.

443142002131323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105043.

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 443142002131323 its reverse (323131200241344), we get a palindrome (766273202372667).

The spelling of 443142002131323 in words is "four hundred forty-three trillion, one hundred forty-two billion, two million, one hundred thirty-one thousand, three hundred twenty-three".

Divisors: 1 3 11 33 6781 20343 28319 69929 74591 84957 209787 223773 311509 769219 934527 2307657 192031139 474188549 576093417 1422565647 1980319351 2112342529 5216074039 5940958053 6337027587 15648222117 21783512861 65350538583 13428545519131 40285636557393 147714000710441 443142002131323