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238416242130 = 233511194224991
BaseRepresentation
bin1101111000001010110…
…1110010010111010010
3211210101122012222122000
43132002231302113102
512401234024222010
6301305451254430
723140114422633
oct3360255622722
9753348188560
10238416242130
1192125831540
123a25914a416
13196372347b1
14b77a1c588a
156305db97c0
hex3782b725d2

238416242130 has 128 divisors (see below), whose sum is σ = 730078617600. Its totient is φ = 54755870400.

The previous prime is 238416242107. The next prime is 238416242171. The reversal of 238416242130 is 31242614832.

238416242130 is a `hidden beast` number, since 2 + 3 + 8 + 4 + 1 + 624 + 21 + 3 + 0 = 666.

It is a super-2 number, since 2×2384162421302 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2056066 + ... + 2168925.

It is an arithmetic number, because the mean of its divisors is an integer number (5703739200).

Almost surely, 2238416242130 is an apocalyptic number.

238416242130 is an abundant number, since it is smaller than the sum of its proper divisors (491662375470).

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

238416242130 is a wasteful number, since it uses less digits than its factorization.

238416242130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4225037 (or 4225031 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 238416242130 its reverse (31242614832), we get a palindrome (269658856962).

The spelling of 238416242130 in words is "two hundred thirty-eight billion, four hundred sixteen million, two hundred forty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 19 22 27 30 33 38 45 54 55 57 66 90 95 99 110 114 135 165 171 190 198 209 270 285 297 330 342 418 495 513 570 594 627 855 990 1026 1045 1254 1485 1710 1881 2090 2565 2970 3135 3762 5130 5643 6270 9405 11286 18810 28215 56430 4224991 8449982 12674973 21124955 25349946 38024919 42249910 46474901 63374865 76049838 80274829 92949802 114074757 126749730 139424703 160549658 190124595 228149514 232374505 240824487 278849406 380249190 401374145 418274109 464749010 481648974 570373785 697123515 722473461 802748290 836548218 883023119 1140747570 1204122435 1254822327 1394247030 1444946922 1766046238 2091370545 2167420383 2408244870 2509644654 2649069357 3612367305 4182741090 4334840766 4415115595 5298138714 6274111635 7224734610 7947208071 8830231190 10837101915 12548223270 13245346785 15894416142 21674203830 23841624213 26490693570 39736040355 47683248426 79472080710 119208121065 238416242130