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233242143343132 = 227114573257508771
BaseRepresentation
bin110101000010000111101011…
…000110011100001000011100
31010120211201202000000102112111
4311002013223012130020130
5221032414402143440012
62144021543400243404
7100062121513513540
oct6502075306341034
91116751660012474
10233242143343132
116835548a341780
12221aba81a70564
13a01b841684a01
144184da1085a20
151be726b792ba7
hexd421eb19c21c

233242143343132 has 96 divisors (see below), whose sum is σ = 510163088472576. Its totient is φ = 90646696166400.

The previous prime is 233242143343067. The next prime is 233242143343163. The reversal of 233242143343132 is 231343341242332.

It is a congruent number.

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, 458187907 + ... + 458696677.

It is an arithmetic number, because the mean of its divisors is an integer number (5314198838256).

Almost surely, 2233242143343132 is an apocalyptic number.

233242143343132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233242143343132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255081544236288).

233242143343132 is an abundant number, since it is smaller than the sum of its proper divisors (276920945129444).

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

233242143343132 is a wasteful number, since it uses less digits than its factorization.

233242143343132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512507 (or 512505 counting only the distinct ones).

The product of its digits is 746496, while the sum is 40.

Adding to 233242143343132 its reverse (231343341242332), we get a palindrome (464585484585464).

The spelling of 233242143343132 in words is "two hundred thirty-three trillion, two hundred forty-two billion, one hundred forty-three million, three hundred forty-three thousand, one hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 457 914 1828 3199 3257 5027 6398 6514 10054 12796 13028 20108 22799 35189 35827 45598 70378 71654 91196 140756 143308 250789 501578 508771 1003156 1017542 1488449 2035084 2976898 3561397 5596481 5953796 7122794 10419143 11192962 14245588 16372939 20838286 22385924 32745878 39175367 41676572 65491756 78350734 114610573 156701468 229221146 232508347 458442292 465016694 930033388 1627558429 1657067147 2557591817 3255116858 3314134294 5115183634 6510233716 6628268588 10230367268 11599470029 17903142719 18227738617 23198940058 35806285438 36455477234 46397880116 71612570876 72910954468 127594170319 255188340638 510376681276 757279686179 1514559372358 3029118744716 5300957803253 8330076547969 10601915606506 16660153095938 21203831213012 33320306191876 58310535835783 116621071671566 233242143343132