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23111342400344 = 231117232233012041
BaseRepresentation
bin1010100000101000001110…
…10110101010001101011000
310000211102102012002202120012
411100110013112222031120
511012124012123302334
6121053112031421052
74603511416043042
oct520240726521530
9100742365082505
1023111342400344
1174005133010a0
122713171984788
13cb850c472a63
1459c848734a92
152a12a448a9ce
hex1505075aa358

23111342400344 has 128 divisors (see below), whose sum is σ = 52464470446080. Its totient is φ = 9414914150400.

The previous prime is 23111342400283. The next prime is 23111342400353. The reversal of 23111342400344 is 44300424311132.

It is a self number, because there is not a number n which added to its sum of digits gives 23111342400344.

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 31 ways as a sum of consecutive naturals, for example, 6166964 + ... + 9179004.

It is an arithmetic number, because the mean of its divisors is an integer number (409878675360).

Almost surely, 223111342400344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23111342400344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26232235223040).

23111342400344 is an abundant number, since it is smaller than the sum of its proper divisors (29353128045736).

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

23111342400344 is a wasteful number, since it uses less digits than its factorization.

23111342400344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3012321 (or 3012317 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 23111342400344 its reverse (44300424311132), we get a palindrome (67411766711476).

The spelling of 23111342400344 in words is "twenty-three trillion, one hundred eleven billion, three hundred forty-two million, four hundred thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 17 22 23 34 44 46 68 88 92 136 184 187 223 253 374 391 446 506 748 782 892 1012 1496 1564 1784 2024 2453 3128 3791 4301 4906 5129 7582 8602 9812 10258 15164 17204 19624 20516 30328 34408 41032 41701 56419 83402 87193 112838 166804 174386 225676 333608 348772 451352 697544 959123 1918246 3012041 3836492 6024082 7672984 12048164 24096328 33132451 51204697 66264902 69276943 102409394 132529804 138553886 204818788 265059608 277107772 409637576 554215544 563251667 671685143 762046373 1126503334 1177708031 1343370286 1524092746 2253006668 2355416062 2686740572 3048185492 4506013336 4710832124 5373481144 6096370984 7388536573 9421664248 11418647431 12954788341 14777073146 15448758289 22837294862 25909576682 29554146292 30897516578 45674589724 51819153364 59108292584 61795033156 91349179448 103638306728 123590066312 125605121741 169936341179 251210243482 262628890913 339872682358 502420486964 525257781826 679745364716 1004840973928 1050515563652 1359490729432 2101031127304 2888917800043 5777835600086 11555671200172 23111342400344