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320465253042 = 233111327406559
BaseRepresentation
bin1001010100111010011…
…01111011001010110010
31010122011202220121012000
410222131031323022302
520222303101044132
6403115242314430
732103266464164
oct4523515731262
91118152817160
10320465253042
111139aa30a870
12521371b8a16
13242b1a13aac
1411721136934
1585091cc87c
hex4a9d37b2b2

320465253042 has 64 divisors (see below), whose sum is σ = 777472819200. Its totient is φ = 97037263440.

The previous prime is 320465253007. The next prime is 320465253049. The reversal of 320465253042 is 240352564023.

320465253042 is a `hidden beast` number, since 3 + 20 + 4 + 65 + 2 + 530 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 320465252988 and 320465253006.

It is not an unprimeable number, because it can be changed into a prime (320465253049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 584959 + ... + 991517.

It is an arithmetic number, because the mean of its divisors is an integer number (12148012800).

Almost surely, 2320465253042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320465253042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388736409600).

320465253042 is an abundant number, since it is smaller than the sum of its proper divisors (457007566158).

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

320465253042 is a wasteful number, since it uses less digits than its factorization.

320465253042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407908 (or 407902 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The spelling of 320465253042 in words is "three hundred twenty billion, four hundred sixty-five million, two hundred fifty-three thousand, forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 1327 2654 3981 7962 11943 14597 23886 29194 35829 43791 71658 87582 131373 262746 394119 406559 788238 813118 1219677 2439354 3659031 4472149 7318062 8944298 10977093 13416447 21954186 26832894 40249341 80498682 120748023 241496046 539503793 1079007586 1618511379 3237022758 4855534137 5934541723 9711068274 11869083446 14566602411 17803625169 29133204822 35607250338 53410875507 106821751014 160232626521 320465253042