Search a number
-
+
231240421224324 = 223241971615123217
BaseRepresentation
bin110100100100111111011011…
…001010100010111110000100
31010022202100221112200212200100
4310210333123022202332010
5220302120340313134244
62135450214420244100
766464366130321111
oct6444773312427604
91108670845625610
10231240421224324
116775356a3a0606
1221b27b39240630
139c04b553cb435
14411614b9d3908
151bb01624e2b69
hexd24fdb2a2f84

231240421224324 has 72 divisors (see below), whose sum is σ = 604954092041208. Its totient is φ = 74424877793280.

The previous prime is 231240421224143. The next prime is 231240421224341. The reversal of 231240421224324 is 423422124042132.

231240421224324 is a `hidden beast` number, since 2 + 3 + 1 + 2 + 4 + 0 + 4 + 212 + 2 + 432 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16555800729924 + 214684620494400 = 4068882^2 + 14652120^2 .

It is a super-2 number, since 2×2312404212243242 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 807418437 + ... + 807704780.

It is an arithmetic number, because the mean of its divisors is an integer number (8402140167239).

Almost surely, 2231240421224324 is an apocalyptic number.

It is an amenable number.

231240421224324 is an abundant number, since it is smaller than the sum of its proper divisors (373713670816884).

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

231240421224324 is a wasteful number, since it uses less digits than its factorization.

231240421224324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1615123365 (or 1615123360 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 231240421224324 its reverse (423422124042132), we get a palindrome (654662545266456).

The spelling of 231240421224324 in words is "two hundred thirty-one trillion, two hundred forty billion, four hundred twenty-one million, two hundred twenty-four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 97 123 164 194 246 291 369 388 492 582 738 873 1164 1476 1746 3492 3977 7954 11931 15908 23862 35793 47724 71586 143172 1615123217 3230246434 4845369651 6460492868 9690739302 14536108953 19381478604 29072217906 58144435812 66220051897 132440103794 156666952049 198660155691 264880207588 313333904098 397320311382 470000856147 595980467073 626667808196 794640622764 940001712294 1191960934146 1410002568441 1880003424588 2383921868292 2820005136882 5640010273764 6423345034009 12846690068018 19270035102027 25693380136036 38540070204054 57810105306081 77080140408108 115620210612162 231240421224324