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433142313132 = 223172392315071
BaseRepresentation
bin1100100110110010100…
…10110011000010101100
31112102000102200022121210
412103121102303002230
524044033413010012
6530552142554420
743202445625434
oct6233122630254
91472012608553
10433142313132
111577705a8831
126bb42598a10
1331acaa24b09
1416d6da9b2c4
15b40132823c
hex64d94b30ac

433142313132 has 48 divisors (see below), whose sum is σ = 1116643110912. Its totient is φ = 129979618560.

The previous prime is 433142313119. The next prime is 433142313137. The reversal of 433142313132 is 231313241334.

It is a super-2 number, since 2×4331423131322 (a number of 24 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 433142313132.

It is not an unprimeable number, because it can be changed into a prime (433142313137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46152844 + ... + 46162227.

It is an arithmetic number, because the mean of its divisors is an integer number (23263398144).

Almost surely, 2433142313132 is an apocalyptic number.

It is an amenable number.

433142313132 is an abundant number, since it is smaller than the sum of its proper divisors (683500797780).

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

433142313132 is a wasteful number, since it uses less digits than its factorization.

433142313132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92315118 (or 92315116 counting only the distinct ones).

The product of its digits is 15552, while the sum is 30.

Adding to 433142313132 its reverse (231313241334), we get a palindrome (664455554466).

The spelling of 433142313132 in words is "four hundred thirty-three billion, one hundred forty-two million, three hundred thirteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 23 34 46 51 68 69 92 102 138 204 276 391 782 1173 1564 2346 4692 92315071 184630142 276945213 369260284 553890426 1107780852 1569356207 2123246633 3138712414 4246493266 4708068621 6277424828 6369739899 8492986532 9416137242 12739479798 18832274484 25478959596 36095192761 72190385522 108285578283 144380771044 216571156566 433142313132