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320031125442 = 23372463261229
BaseRepresentation
bin1001010100000110101…
…01110110111111000010
31010121001112000122002000
410222003111312333002
520220410432003232
6403004213404430
732056445453100
oct4520325667702
91117045018060
10320031125442
111137a7255326
1252035939716
1324242ab3862
14116bd60ac70
1584d102727c
hex4a83576fc2

320031125442 has 96 divisors (see below), whose sum is σ = 829081324800. Its totient is φ = 91239626016.

The previous prime is 320031125431. The next prime is 320031125467. The reversal of 320031125442 is 244521130023.

320031125442 is a `hidden beast` number, since 3 + 2 + 0 + 0 + 3 + 112 + 544 + 2 = 666.

320031125442 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1094484 + ... + 1355712.

It is an arithmetic number, because the mean of its divisors is an integer number (8636263800).

Almost surely, 2320031125442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320031125442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414540662400).

320031125442 is an abundant number, since it is smaller than the sum of its proper divisors (509050199358).

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

320031125442 is a wasteful number, since it uses less digits than its factorization.

320031125442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261717 (or 261704 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 320031125442 its reverse (244521130023), we get a palindrome (564552255465).

The spelling of 320031125442 in words is "three hundred twenty billion, thirty-one million, one hundred twenty-five thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 189 294 378 441 463 882 926 1323 1389 2646 2778 3241 4167 6482 8334 9723 12501 19446 22687 25002 29169 45374 58338 68061 87507 136122 175014 204183 261229 408366 522458 612549 783687 1225098 1567374 1828603 2351061 3657206 4702122 5485809 7053183 10971618 12800221 14106366 16457427 25600442 32914854 38400663 49372281 76801326 98744562 115201989 120949027 230403978 241898054 345605967 362847081 691211934 725694162 846643189 1088541243 1693286378 2177082486 2539929567 3265623729 5079859134 5926502323 6531247458 7619788701 11853004646 15239577402 17779506969 22859366103 35559013938 45718732206 53338520907 106677041814 160015562721 320031125442