Search a number
-
+
233432403252114 = 2311106311816918311
BaseRepresentation
bin110101000100111000110111…
…011110011001001110010010
31010121111220211112121020000010
4311010320313132121032102
5221044024030213031424
62144245210550335350
7100111635364200663
oct6504706736311622
91117456745536003
10233432403252114
116841914307a380
122222091b65a556
13a033772ab8401
14419028d73d36a
151bec1a4a99229
hexd44e37799392

233432403252114 has 64 divisors (see below), whose sum is σ = 509410822072320. Its totient is φ = 70722682608000.

The previous prime is 233432403252109. The next prime is 233432403252157. The reversal of 233432403252114 is 411252304234332.

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, 12748197019 + ... + 12748215329.

It is an arithmetic number, because the mean of its divisors is an integer number (7959544094880).

Almost surely, 2233432403252114 is an apocalyptic number.

233432403252114 is an abundant number, since it is smaller than the sum of its proper divisors (275978418820206).

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

233432403252114 is a wasteful number, since it uses less digits than its factorization.

233432403252114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47127.

The product of its (nonzero) digits is 414720, while the sum is 39.

Adding to 233432403252114 its reverse (411252304234332), we get a palindrome (644684707486446).

The spelling of 233432403252114 in words is "two hundred thirty-three trillion, four hundred thirty-two billion, four hundred three million, two hundred fifty-two thousand, one hundred fourteen".

Divisors: 1 2 3 6 11 22 33 66 10631 18169 18311 21262 31893 36338 36622 54507 54933 63786 109014 109866 116941 199859 201421 233882 350823 399718 402842 599577 604263 701646 1199154 1208526 193154639 194664241 332692559 386309278 389328482 579463917 583992723 665385118 998077677 1158927834 1167985446 1996155354 2124701029 2141306651 3659618149 4249402058 4282613302 6374103087 6423919953 7319236298 10978854447 12748206174 12847839906 21957708894 3536854594729 7073709189458 10610563784187 21221127568374 38905400542019 77810801084038 116716201626057 233432403252114