Search a number
-
+
115232223432032 = 2575311385895737
BaseRepresentation
bin11010001100110110010111…
…101111101000110101100000
3120010000002111210000112202022
4122030312113233220311200
5110100431043144311112
61045024541434241012
733162152630056010
oct3214662757506540
9503002453015668
10115232223432032
1133797791036313
1210b1093a586168
134c3b476593925
1420653ab22dc40
15d4c6c42cbd72
hex68cd97be8d60

115232223432032 has 96 divisors (see below), whose sum is σ = 266502178216512. Its totient is φ = 48024649580544.

The previous prime is 115232223432031. The next prime is 115232223432041. The reversal of 115232223432032 is 230234322232511.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 115232223431983 and 115232223432001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115232223432031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41606333 + ... + 44289404.

It is an arithmetic number, because the mean of its divisors is an integer number (2776064356422).

Almost surely, 2115232223432032 is an apocalyptic number.

It is an amenable number.

115232223432032 is an abundant number, since it is smaller than the sum of its proper divisors (151269954784480).

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

115232223432032 is a wasteful number, since it uses less digits than its factorization.

115232223432032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85895920 (or 85895912 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 35.

Adding to 115232223432032 its reverse (230234322232511), we get a palindrome (345466545664543).

The spelling of 115232223432032 in words is "one hundred fifteen trillion, two hundred thirty-two billion, two hundred twenty-three million, four hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 106 112 113 212 224 226 371 424 452 742 791 848 904 1484 1582 1696 1808 2968 3164 3616 5936 5989 6328 11872 11978 12656 23956 25312 41923 47912 83846 95824 167692 191648 335384 670768 1341536 85895737 171791474 343582948 601270159 687165896 1202540318 1374331792 2405080636 2748663584 4552474061 4810161272 9104948122 9620322544 9706218281 18209896244 19240645088 19412436562 31867318427 36419792488 38824873124 63734636854 67943527967 72839584976 77649746248 127469273708 135887055934 145679169952 155299492496 254938547416 271774111868 310598984992 509877094832 514429568893 543548223736 1019754189664 1028859137786 1087096447472 2057718275572 2174192894944 3601006982251 4115436551144 7202013964502 8230873102288 14404027929004 16461746204576 28808055858008 57616111716016 115232223432032