Search a number
-
+
4022302240424 = 23132943113274471
BaseRepresentation
bin111010100010000011111…
…001010110111010101000
3112020112021011021220022202
4322202003321112322220
51011400133333143144
612315453052235332
7563413253632166
oct72420371267250
915215234256282
104022302240424
111310937831a26
1254b670a6bb48
132323bc4511c0
14dc9752b8236
156e968ddb64e
hex3a883e56ea8

4022302240424 has 128 divisors (see below), whose sum is σ = 8673534777600. Its totient is φ = 1735247646720.

The previous prime is 4022302240421. The next prime is 4022302240433. The reversal of 4022302240424 is 4240422032204.

4022302240424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (4022302240421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14517509 + ... + 14791979.

It is an arithmetic number, because the mean of its divisors is an integer number (67761990450).

Almost surely, 24022302240424 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 4022302240424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4336767388800).

4022302240424 is an abundant number, since it is smaller than the sum of its proper divisors (4651232537176).

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

4022302240424 is a wasteful number, since it uses less digits than its factorization.

4022302240424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274675 (or 274671 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 29.

Adding to 4022302240424 its reverse (4240422032204), we get a palindrome (8262724272628).

The spelling of 4022302240424 in words is "four trillion, twenty-two billion, three hundred two million, two hundred forty thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 26 29 43 52 58 86 104 113 116 172 226 232 344 377 452 559 754 904 1118 1247 1469 1508 2236 2494 2938 3016 3277 4472 4859 4988 5876 6554 9718 9976 11752 13108 16211 19436 26216 32422 38872 42601 63167 64844 85202 126334 129688 140911 170404 252668 274471 281822 340808 505336 548942 563644 1097884 1127288 1831843 2195768 3568123 3663686 7136246 7327372 7959659 11802253 14272492 14654744 15919318 23604506 28544984 31015223 31838636 47209012 62030446 63677272 94418024 103475567 124060892 153429289 206951134 248121784 306858578 342265337 403197899 413902268 613717156 684530674 806395798 827804536 899441467 1227434312 1333654589 1369061348 1612791596 1798882934 2667309178 2738122696 3225583192 3597765868 4449449381 5334618356 7195531736 8898898762 10669236712 11692739071 17337509657 17797797524 23385478142 34675019314 35595595048 38675983081 46770956284 69350038628 77351966162 93541912568 138700077256 154703932324 309407864648 502787780053 1005575560106 2011151120212 4022302240424