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23144234223231 = 32111737693648653
BaseRepresentation
bin1010100001100101011111…
…10111000000011001111111
310000221120022110212111011200
411100302233313000121333
511013143342430120411
6121120151525350543
74606054461654312
oct520625767003177
9100846273774150
1023144234223231
1174134619394a0
122719611268453
13cbb6519a4954
145a0288c66979
152a207bddae56
hex150cafdc067f

23144234223231 has 48 divisors (see below), whose sum is σ = 38625235028640. Its totient is φ = 13198195906560.

The previous prime is 23144234223223. The next prime is 23144234223247. The reversal of 23144234223231 is 13232243244132.

23144234223231 is a `hidden beast` number, since 2 + 3 + 1 + 4 + 423 + 4 + 223 + 2 + 3 + 1 = 666.

It is not a de Polignac number, because 23144234223231 - 23 = 23144234223223 is a prime.

It is a super-2 number, since 2×231442342232312 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23144234263231) 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, 4518901 + ... + 8167553.

It is an arithmetic number, because the mean of its divisors is an integer number (804692396430).

Almost surely, 223144234223231 is an apocalyptic number.

23144234223231 is a deficient number, since it is larger than the sum of its proper divisors (15481000805409).

23144234223231 is a wasteful number, since it uses less digits than its factorization.

23144234223231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3652456 (or 3652453 counting only the distinct ones).

The product of its digits is 165888, while the sum is 36.

Adding to 23144234223231 its reverse (13232243244132), we get a palindrome (36376477467363).

The spelling of 23144234223231 in words is "twenty-three trillion, one hundred forty-four billion, two hundred thirty-four million, two hundred twenty-three thousand, two hundred thirty-one".

Divisors: 1 3 9 11 17 33 51 99 153 187 561 1683 3769 11307 33921 41459 64073 124377 192219 373131 576657 704803 2114409 3648653 6343227 10945959 32837877 40135183 62027101 120405549 186081303 361216647 558243909 682298111 2046894333 6140682999 13751773157 41255319471 123765958413 151269504727 233780143669 453808514181 701340431007 1361425542543 2104021293021 2571581580359 7714744741077 23144234223231