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230340323032144 = 241310113780032189
BaseRepresentation
bin110100010111111001001001…
…001000011011110001010000
31010012120022122011011010002121
4310113321021020123301100
5220142343440144012034
62133520514504224024
766342352635035023
oct6427711110336120
91105508564133077
10230340323032144
1167436867434556
1221a015b816b014
139b6accb4b2660
1440c476156b1ba
151b96a3156c1b4
hexd17e4921bc50

230340323032144 has 80 divisors (see below), whose sum is σ = 488915368194960. Its totient is φ = 104490024652800.

The previous prime is 230340323032073. The next prime is 230340323032229. The reversal of 230340323032144 is 441230323043032.

It can be written as a sum of positive squares in 8 ways, for example, as 2477916739600 + 227862406292544 = 1574140^2 + 15095112^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37137999 + ... + 42894190.

It is an arithmetic number, because the mean of its divisors is an integer number (6111442102437).

Almost surely, 2230340323032144 is an apocalyptic number.

It is an amenable number.

230340323032144 is an abundant number, since it is smaller than the sum of its proper divisors (258575045162816).

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

230340323032144 is a wasteful number, since it uses less digits than its factorization.

230340323032144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80032448 (or 80032442 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 34.

Adding to 230340323032144 its reverse (441230323043032), we get a palindrome (671570646075176).

The spelling of 230340323032144 in words is "two hundred thirty trillion, three hundred forty billion, three hundred twenty-three million, thirty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 101 104 137 202 208 274 404 548 808 1096 1313 1616 1781 2192 2626 3562 5252 7124 10504 13837 14248 21008 27674 28496 55348 110696 179881 221392 359762 719524 1439048 2878096 80032189 160064378 320128756 640257512 1040418457 1280515024 2080836914 4161673828 8083251089 8323347656 10964409893 16166502178 16646695312 21928819786 32333004356 43857639572 64666008712 87715279144 105082264157 129332017424 142537328609 175430558288 210164528314 285074657218 420329056628 570149314436 840658113256 1107405399193 1140298628872 1681316226512 2214810798386 2280597257744 4429621596772 8859243193544 14396270189509 17718486387088 28792540379018 57585080758036 115170161516072 230340323032144