Search a number
-
+
114324033123222 = 2313191389144713633
BaseRepresentation
bin11001111111101000100011…
…011000100011001110010110
3112222210021022102201200000020
4121333220203120203032112
5104441041104434420342
61043051422532130010
733036432054603066
oct3177504330431626
9488707272650006
10114324033123222
113347760630526a
12109a491b466906
134ba3930021560
1420334541a13a6
15d33c6cc120ec
hex67fa23623396

114324033123222 has 128 divisors (see below), whose sum is σ = 248351603834880. Its totient is φ = 34875820892160.

The previous prime is 114324033123211. The next prime is 114324033123229. The reversal of 114324033123222 is 222321330423411.

It is a happy number.

It is a super-2 number, since 2×1143240331232222 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114324033123229) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8385824118 + ... + 8385837750.

It is an arithmetic number, because the mean of its divisors is an integer number (1940246904960).

Almost surely, 2114324033123222 is an apocalyptic number.

114324033123222 is an abundant number, since it is smaller than the sum of its proper divisors (134027570711658).

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

114324033123222 is a wasteful number, since it uses less digits than its factorization.

114324033123222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15678.

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 114324033123222 its reverse (222321330423411), we get a palindrome (336645363546633).

The spelling of 114324033123222 in words is "one hundred fourteen trillion, three hundred twenty-four billion, thirty-three million, one hundred twenty-three thousand, two hundred twenty-two".

Divisors: 1 2 3 6 13 26 39 78 191 382 389 573 778 1146 1167 1447 2334 2483 2894 4341 4966 5057 7449 8682 10114 13633 14898 15171 18811 27266 30342 37622 40899 56433 74299 81798 112866 148598 177229 222897 276377 354458 445794 531687 552754 562883 829131 965887 1063374 1125766 1658262 1688649 1931774 2603903 2897661 3377298 3592901 5207806 5303237 5795322 7185802 7317479 7811709 10606474 10778703 14634958 15623418 15909711 19726951 21557406 21952437 31819422 33850739 39453902 43904874 59180853 67701478 68942081 101552217 107510653 118361706 137884162 203104434 206826243 215021306 256450363 322531959 413652486 512900726 645063918 769351089 1012918267 1397638489 1538702178 2025836534 2795276978 3038754801 3767847641 4192915467 6077509602 7535695282 7673783939 8385830934 11303542923 13167937471 15347567878 22607085846 23021351817 26335874942 39503812413 46042703634 48982019333 79007624826 97964038666 99759191207 146946057999 199518382414 293892115998 299277573621 598555147242 1465692732349 2931385464698 4397078197047 8794156394094 19054005520537 38108011041074 57162016561611 114324033123222