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232043040324 = 223219974677489
BaseRepresentation
bin1101100000011011010…
…1111100111001000100
3211011221110220210022200
43120012311330321010
512300211004242244
6254333223354500
722523146204434
oct3300665747104
9734843823280
10232043040324
118a455279707
1238b7a8b2a30
1318b5ca4ac74
14b3339ca2c4
156081613669
hex3606d7ce44

232043040324 has 144 divisors (see below), whose sum is σ = 625208875200. Its totient is φ = 72356364288.

The previous prime is 232043040301. The next prime is 232043040479. The reversal of 232043040324 is 423040340232.

232043040324 is a `hidden beast` number, since 2 + 3 + 204 + 30 + 403 + 24 = 666.

232043040324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2320430403243 (a number of 35 digits) contains 333 as substring.

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 47 ways as a sum of consecutive naturals, for example, 30980772 + ... + 30988260.

It is an arithmetic number, because the mean of its divisors is an integer number (4341728300).

Almost surely, 2232043040324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232043040324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312604437600).

232043040324 is an abundant number, since it is smaller than the sum of its proper divisors (393165834876).

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

232043040324 is a wasteful number, since it uses less digits than its factorization.

232043040324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8082 (or 8077 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 232043040324 its reverse (423040340232), we get a palindrome (655083380556).

The spelling of 232043040324 in words is "two hundred thirty-two billion, forty-three million, forty thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 97 114 171 194 228 291 342 388 467 582 684 873 934 1164 1401 1746 1843 1868 2802 3492 3686 4203 5529 5604 7372 7489 8406 8873 11058 14978 16587 16812 17746 22116 22467 26619 29956 33174 35492 44934 45299 53238 66348 67401 79857 89868 90598 106476 134802 135897 142291 159714 181196 269604 271794 284582 319428 407691 426873 543588 569164 726433 815382 853746 860681 1280619 1452866 1630764 1707492 1721362 2179299 2561238 2582043 2905732 3442724 3497363 4358598 5122476 5164086 6537897 6994726 7746129 8717196 10328172 10492089 13075794 13802227 13989452 15492258 20984178 26151588 27604454 30984516 31476267 41406681 41968356 55208908 62952534 66449897 82813362 124220043 125905068 132899794 165626724 199349691 248440086 265799588 339244211 398699382 496880172 598049073 678488422 797398764 1017732633 1196098146 1356976844 2035465266 2392196292 3053197899 4070930532 6106395798 6445640009 12212791596 12891280018 19336920027 25782560036 38673840054 58010760081 77347680108 116021520162 232043040324