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431126303621134 = 21127961936431027
BaseRepresentation
bin110001000000110110110101…
…0001011100100000000001110
32002112111021100100221001011211
41202001231222023210000032
5423002033132211334014
64124532404545405034
7156544563465212302
oct14201555213440016
92075437310831154
10431126303621134
11115408702a55600
124042b1ba93977a
13156740610a3a14
1478668a5629d02
1534c98b7c33cc4
hex1881b6a2e400e

431126303621134 has 48 divisors (see below), whose sum is σ = 720984616531200. Its totient is φ = 193173329503440.

The previous prime is 431126303621071. The next prime is 431126303621183.

431126303621134 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4311263036211342 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6381472 + ... + 30049555.

It is an arithmetic number, because the mean of its divisors is an integer number (15020512844400).

Almost surely, 2431126303621134 is an apocalyptic number.

431126303621134 is a deficient number, since it is larger than the sum of its proper divisors (289858312910066).

431126303621134 is a wasteful number, since it uses less digits than its factorization.

431126303621134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36431749 (or 36431738 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 40.

It can be divided in two parts, 43112630 and 3621134, that added together give a palindrome (46733764).

The spelling of 431126303621134 in words is "four hundred thirty-one trillion, one hundred twenty-six billion, three hundred three million, six hundred twenty-one thousand, one hundred thirty-four".

Divisors: 1 2 11 22 79 121 158 242 619 869 1238 1738 6809 9559 13618 19118 48901 74899 97802 149798 537911 1075822 5917021 11834042 36431027 72862054 400741297 801482594 2878051133 4408154267 5756102266 8816308534 22550805713 31658562463 45101611426 63317124926 248058862843 348244187093 496117725686 696488374186 1781513651327 2728647491273 3563027302654 5457294982546 19596650164597 39193300329194 215563151810567 431126303621134