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323142302664 = 23343531412681
BaseRepresentation
bin1001011001111001100…
…10000011101111001000
31010220002100020210220000
410230330302003233020
520243243412141124
6404241033003000
732226524152446
oct4547462035710
91126070223800
10323142302664
11115053450875
1252763853460
132461a52321c
14118d68b3b96
15861422c6c9
hex4b3cc83bc8

323142302664 has 80 divisors (see below), whose sum is σ = 907662311820. Its totient is φ = 107408885760.

The previous prime is 323142302641. The next prime is 323142302677. The reversal of 323142302664 is 466203241323.

323142302664 is a `hidden beast` number, since 32 + 314 + 2 + 302 + 6 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 318048625764 + 5093676900 = 563958^2 + 71370^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 477597 + ... + 935084.

Almost surely, 2323142302664 is an apocalyptic number.

It is an amenable number.

323142302664 is an abundant number, since it is smaller than the sum of its proper divisors (584520009156).

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

323142302664 is a wasteful number, since it uses less digits than its factorization.

323142302664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1413052 (or 1413039 counting only the distinct ones).

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

Adding to 323142302664 its reverse (466203241323), we get a palindrome (789345543987).

The spelling of 323142302664 in words is "three hundred twenty-three billion, one hundred forty-two million, three hundred two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 353 648 706 1059 1412 2118 2824 3177 4236 6354 8472 9531 12708 19062 25416 28593 38124 57186 76248 114372 228744 1412681 2825362 4238043 5650724 8476086 11301448 12714129 16952172 25428258 33904344 38142387 50856516 76284774 101713032 114427161 152569548 228854322 305139096 457708644 498676393 915417288 997352786 1496029179 1994705572 2992058358 3989411144 4488087537 5984116716 8976175074 11968233432 13464262611 17952350148 26928525222 35904700296 40392787833 53857050444 80785575666 107714100888 161571151332 323142302664