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230145150432 = 2534171823547
BaseRepresentation
bin1101011001010110111…
…0000100110111100000
3211000001012200222211110
43112111232010313200
512232314124303212
6253421025143320
722425132333651
oct3262556046740
9730035628743
10230145150432
1189670a3496a
123872b18ab40
13189197a59b2
14b1d3911528
155ebebc0a3c
hex3595b84de0

230145150432 has 96 divisors (see below), whose sum is σ = 627583106304. Its totient is φ = 73789721600.

The previous prime is 230145150427. The next prime is 230145150451. The reversal of 230145150432 is 234051541032.

230145150432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 230145150432.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 132318 + ... + 691229.

It is an arithmetic number, because the mean of its divisors is an integer number (6537324024).

Almost surely, 2230145150432 is an apocalyptic number.

It is an amenable number.

230145150432 is an abundant number, since it is smaller than the sum of its proper divisors (397437955872).

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

230145150432 is a wasteful number, since it uses less digits than its factorization.

230145150432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823672 (or 823664 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 230145150432 its reverse (234051541032), we get a palindrome (464196691464).

The spelling of 230145150432 in words is "two hundred thirty billion, one hundred forty-five million, one hundred fifty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 71 82 96 123 142 164 213 246 284 328 426 492 568 656 852 984 1136 1312 1704 1968 2272 2911 3408 3936 5822 6816 8733 11644 17466 23288 34932 46576 69864 93152 139728 279456 823547 1647094 2470641 3294188 4941282 6588376 9882564 13176752 19765128 26353504 33765427 39530256 58471837 67530854 79060512 101296281 116943674 135061708 175415511 202592562 233887348 270123416 350831022 405185124 467774696 540246832 701662044 810370248 935549392 1080493664 1403324088 1620740496 1871098784 2397345317 2806648176 3241480992 4794690634 5613296352 7192035951 9589381268 14384071902 19178762536 28768143804 38357525072 57536287608 76715050144 115072575216 230145150432