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2312031141342 = 23213131741710169
BaseRepresentation
bin100001101001001111110…
…010110111110111011110
322012000202102111011221200
4201221033302313313132
5300340014433010332
64530044335140330
7326016200305266
oct41511762676736
98160672434850
102312031141342
118115883396aa
123141066746a6
1313a03cb0c110
147dc8d7d87a6
154021ba0e17c
hex21a4fcb7dde

2312031141342 has 96 divisors (see below), whose sum is σ = 5437188076320. Its totient is φ = 705799111680.

The previous prime is 2312031141319. The next prime is 2312031141349. The reversal of 2312031141342 is 2431411302132.

2312031141342 is a `hidden beast` number, since 2 + 3 + 1 + 2 + 0 + 311 + 4 + 1 + 342 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2312031141349) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 227355634 + ... + 227365802.

It is an arithmetic number, because the mean of its divisors is an integer number (56637375795).

Almost surely, 22312031141342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2312031141342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2718594038160).

2312031141342 is an abundant number, since it is smaller than the sum of its proper divisors (3125156934978).

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

2312031141342 is a wasteful number, since it uses less digits than its factorization.

2312031141342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17738 (or 17735 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 2312031141342 its reverse (2431411302132), we get a palindrome (4743442443474).

The spelling of 2312031141342 in words is "two trillion, three hundred twelve billion, thirty-one million, one hundred forty-one thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 131 234 262 393 786 1179 1703 2358 3406 5109 7417 10169 10218 14834 15327 20338 22251 30507 30654 44502 61014 66753 91521 96421 132197 133506 183042 192842 264394 289263 396591 578526 793182 867789 971627 1189773 1332139 1735578 1943254 2379546 2664278 2914881 3996417 5829762 7992834 8744643 11989251 12631151 17317807 17489286 23978502 25262302 34635614 37893453 51953421 75423473 75786906 103906842 113680359 150846946 155860263 226270419 227360718 311720526 452540838 678811257 980505149 1357622514 1961010298 2941515447 5883030894 8824546341 9880474963 17649092682 19760949926 29641424889 59282849778 88924274667 128446174519 177848549334 256892349038 385338523557 770677047114 1156015570671 2312031141342