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431124421134 = 231137679125997
BaseRepresentation
bin1100100011000010000…
…01001001101000001110
31112012210210122210012010
412101201001021220032
524030420322434014
6530020020322050
743101444054411
oct6214101115016
91465723583163
10431124421134
111569255506a0
126b67a843326
1331868954994
1416c1baa5b78
15b3340ce359
hex6461049a0e

431124421134 has 64 divisors (see below), whose sum is σ = 966237092352. Its totient is φ = 127089244800.

The previous prime is 431124421109. The next prime is 431124421141.

It is a happy number.

431124421134 is nontrivially palindromic in base 10.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16570624 + ... + 16596620.

It is an arithmetic number, because the mean of its divisors is an integer number (15097454568).

Almost surely, 2431124421134 is an apocalyptic number.

431124421134 is an abundant number, since it is smaller than the sum of its proper divisors (535112671218).

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

431124421134 is a wasteful number, since it uses less digits than its factorization.

431124421134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32841.

The product of its digits is 9216, while the sum is 30.

It can be divided in two parts, 431124 and 421134, that added together give a palindrome (852258).

The spelling of 431124421134 in words is "four hundred thirty-one billion, one hundred twenty-four million, four hundred twenty-one thousand, one hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 222 407 814 1221 2442 6791 13582 20373 25997 40746 51994 74701 77991 149402 155982 224103 251267 285967 448206 502534 571934 753801 857901 961889 1507602 1715802 1923778 2763937 2885667 5527874 5771334 8291811 10580779 16583622 21161558 31742337 63484674 176545627 353091254 529636881 1059273762 1942001897 3884003794 5826005691 6532188199 11652011382 13064376398 19596564597 39193129194 71854070189 143708140378 215562210567 431124421134