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330233423241141 = 32717892334555777
BaseRepresentation
bin100101100010110000111010…
…1111000101001111110110101
31121022021000012001122121020200
41023011201311320221332311
5321241021022322204031
63130203050145351113
7126362402036035110
oct11305416570517665
91538230161577220
10330233423241141
119624a232285512
1231055549338499
1311235b554ca8a4
145b79550c09577
15282a1e0ece8e6
hex12c5875e29fb5

330233423241141 has 48 divisors (see below), whose sum is σ = 577279428096384. Its totient is φ = 177584620879872.

The previous prime is 330233423241131. The next prime is 330233423241199. The reversal of 330233423241141 is 141142324332033.

330233423241141 is a `hidden beast` number, since 3 + 3 + 0 + 2 + 3 + 3 + 4 + 232 + 411 + 4 + 1 = 666.

It is not a de Polignac number, because 330233423241141 - 227 = 330233289023413 is a prime.

It is a super-2 number, since 2×3302334232411412 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 330233423241096 and 330233423241105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330233423241131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7721356 + ... + 26834421.

It is an arithmetic number, because the mean of its divisors is an integer number (12026654752008).

Almost surely, 2330233423241141 is an apocalyptic number.

It is an amenable number.

330233423241141 is a deficient number, since it is larger than the sum of its proper divisors (247046004855243).

330233423241141 is a wasteful number, since it uses less digits than its factorization.

330233423241141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34564730 (or 34564727 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 330233423241141 its reverse (141142324332033), we get a palindrome (471375747573174).

The spelling of 330233423241141 in words is "three hundred thirty trillion, two hundred thirty-three billion, four hundred twenty-three million, two hundred forty-one thousand, one hundred forty-one".

Divisors: 1 3 7 9 17 21 51 63 119 153 357 1071 8923 26769 62461 80307 151691 187383 455073 562149 1061837 1365219 3185511 9556533 34555777 103667331 241890439 311001993 587448209 725671317 1762344627 2177013951 4112137463 5287033881 12336412389 37009237167 308341198171 925023594513 2158388387197 2775070783539 5241800368907 6475165161591 15725401106721 19425495484773 36692602582349 47176203320163 110077807747047 330233423241141