Search a number
-
+
13330234231314 = 23711132239952853
BaseRepresentation
bin1100000111111010111111…
…1000000100101000010010
31202012100122221110122100120
43001332233320010220102
53221400304430400224
644203454114131110
72544035426301030
oct301765770045022
952170587418316
1013330234231314
11427a358783520
1215b35a4580a96
13759060560310
14341288745550
15181b3b2db779
hexc1fafe04a12

13330234231314 has 128 divisors (see below), whose sum is σ = 35956396965888. Its totient is φ = 3181727727360.

The previous prime is 13330234231297. The next prime is 13330234231453. The reversal of 13330234231314 is 41313243203331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3637089 + ... + 6315764.

It is an arithmetic number, because the mean of its divisors is an integer number (280909351296).

Almost surely, 213330234231314 is an apocalyptic number.

13330234231314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

13330234231314 is an abundant number, since it is smaller than the sum of its proper divisors (22626162734574).

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

13330234231314 is a wasteful number, since it uses less digits than its factorization.

13330234231314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9953112.

The product of its (nonzero) digits is 46656, while the sum is 33.

Adding to 13330234231314 its reverse (41313243203331), we get a palindrome (54643477434645).

The spelling of 13330234231314 in words is "thirteen trillion, three hundred thirty billion, two hundred thirty-four million, two hundred thirty-one thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 182 223 231 273 286 429 446 462 546 669 858 1001 1338 1561 2002 2453 2899 3003 3122 4683 4906 5798 6006 7359 8697 9366 14718 17171 17394 20293 31889 34342 40586 51513 60879 63778 95667 103026 121758 191334 223223 446446 669669 1339338 9952853 19905706 29858559 59717118 69669971 109481383 129387089 139339942 209009913 218962766 258774178 328444149 388161267 418019826 656888298 766369681 776322534 905709623 1423257979 1532739362 1811419246 2219486219 2299109043 2717128869 2846515958 4269773937 4438972438 4598218086 5434257738 6658458657 8539547874 9962805853 13316917314 15536403533 19925611706 24414348409 28853320847 29888417559 31072807066 46609210599 48828696818 57706641694 59776835118 73243045227 86559962541 93218421198 146486090454 170900438863 173119925082 201973245929 317386529317 341800877726 403946491858 512701316589 605919737787 634773058634 952159587951 1025402633178 1211839475574 1904319175902 2221705705219 4443411410438 6665117115657 13330234231314