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23114144441412 = 223310131180117903
BaseRepresentation
bin1010100000101101011100…
…10111100110010001000100
310000211200122110122012022000
411100112232113212101010
511012200231434111122
6121054254045105300
74603641022022013
oct520265627462104
9100750573565260
1023114144441412
117401720a53012
122713814258230
13cb8867b3601b
1459ca3292aa7a
152a13ba47a0ac
hex1505ae5e6444

23114144441412 has 96 divisors (see below), whose sum is σ = 59993150031360. Its totient is φ = 7696026835200.

The previous prime is 23114144441407. The next prime is 23114144441429. The reversal of 23114144441412 is 21414444141132.

23114144441412 is a `hidden beast` number, since 2 + 31 + 1 + 4 + 144 + 441 + 41 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

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, 1291067653 + ... + 1291085555.

It is an arithmetic number, because the mean of its divisors is an integer number (624928646160).

Almost surely, 223114144441412 is an apocalyptic number.

It is an amenable number.

23114144441412 is an abundant number, since it is smaller than the sum of its proper divisors (36879005589948).

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

23114144441412 is a wasteful number, since it uses less digits than its factorization.

23114144441412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30730 (or 30722 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

Adding to 23114144441412 its reverse (21414444141132), we get a palindrome (44528588582544).

The spelling of 23114144441412 in words is "twenty-three trillion, one hundred fourteen billion, one hundred forty-four million, four hundred forty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 1013 2026 3039 4052 6078 9117 11801 12156 17903 18234 23602 27351 35403 35806 36468 47204 53709 54702 70806 71612 106209 107418 109404 141612 161127 212418 214836 318627 322254 424836 483381 637254 644508 966762 1274508 1933524 11954413 18135739 23908826 35863239 36271478 47817652 54407217 71726478 72542956 107589717 108814434 143452956 163221651 211273303 215179434 217628868 322769151 326443302 422546606 430358868 489664953 633819909 645538302 652886604 845093212 979329906 1267639818 1291076604 1901459727 1958659812 2535279636 3802919454 5704379181 7605838908 11408758362 22817516724 214019855939 428039711878 642059567817 856079423756 1284119135634 1926178703451 2568238271268 3852357406902 5778536110353 7704714813804 11557072220706 23114144441412