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323145360512 = 2713434516231
BaseRepresentation
bin1001011001111001111…
…01101110010010000000
31010220002120000011110122
410230330331232102000
520243300203014022
6404241222315412
732226562146452
oct4547475562200
91126076004418
10323145360512
1111505514a217
1252764888b68
132461b053cc0
14118d706c2d2
158614633742
hex4b3cf6e480

323145360512 has 64 divisors (see below), whose sum is σ = 709409722560. Its totient is φ = 145675514880.

The previous prime is 323145360451. The next prime is 323145360521. The reversal of 323145360512 is 215063541323.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

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 7 ways as a sum of consecutive naturals, for example, 2186564 + ... + 2329667.

It is an arithmetic number, because the mean of its divisors is an integer number (11084526915).

Almost surely, 2323145360512 is an apocalyptic number.

323145360512 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

323145360512 is an abundant number, since it is smaller than the sum of its proper divisors (386264362048).

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

323145360512 is a wasteful number, since it uses less digits than its factorization.

323145360512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4516301 (or 4516289 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 35.

The spelling of 323145360512 in words is "three hundred twenty-three billion, one hundred forty-five million, three hundred sixty thousand, five hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 43 52 64 86 104 128 172 208 344 416 559 688 832 1118 1376 1664 2236 2752 4472 5504 8944 17888 35776 71552 4516231 9032462 18064924 36129848 58711003 72259696 117422006 144519392 194197933 234844012 289038784 388395866 469688024 578077568 776791732 939376048 1553583464 1878752096 2524573129 3107166928 3757504192 5049146258 6214333856 7515008384 10098292516 12428667712 20196585032 24857335424 40393170064 80786340128 161572680256 323145360512