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240096505068 = 2232718122392351
BaseRepresentation
bin1101111110011011011…
…1011110110011101100
3211221201201221012001200
43133212313132303230
512413204201130233
6302144313205500
723226546422460
oct3374667366354
9757651835050
10240096505068
11929082439a2
123a647a00890
1319844390514
14b8994104a0
1563a3670313
hex37e6ddecec

240096505068 has 144 divisors (see below), whose sum is σ = 698052526080. Its totient is φ = 68160528000.

The previous prime is 240096505067. The next prime is 240096505087. The reversal of 240096505068 is 860505690042.

240096505068 is a `hidden beast` number, since 2 + 4 + 0 + 0 + 96 + 50 + 506 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (240096505067) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102124093 + ... + 102126443.

Almost surely, 2240096505068 is an apocalyptic number.

240096505068 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240096505068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349026263040).

240096505068 is an abundant number, since it is smaller than the sum of its proper divisors (457956021012).

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

240096505068 is a wasteful number, since it uses less digits than its factorization.

240096505068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4788 (or 4783 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 240096505068 in words is "two hundred forty billion, ninety-six million, five hundred five thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 181 252 362 543 724 1086 1267 1629 2172 2239 2351 2534 3258 3801 4478 4702 5068 6516 6717 7053 7602 8956 9404 11403 13434 14106 15204 15673 16457 20151 21159 22806 26868 28212 31346 32914 40302 42318 45612 47019 49371 62692 65828 80604 84636 94038 98742 141057 148113 188076 197484 282114 296226 405259 425531 564228 592452 810518 851062 1215777 1276593 1621036 1702124 2431554 2553186 2836813 2978717 3647331 3829779 4863108 5106372 5263889 5673626 5957434 7294662 7659558 8510439 8936151 10527778 11347252 11914868 14589324 15319116 15791667 17020878 17872302 21055556 25531317 26808453 31583334 34041756 35744604 36847223 47375001 51062634 53616906 63166668 73694446 94750002 102125268 107233812 110541669 147388892 189500004 221083338 331625007 442166676 663250014 952763909 1326500028 1905527818 2858291727 3811055636 5716583454 6669347363 8574875181 11433166908 13338694726 17149750362 20008042089 26677389452 34299500724 40016084178 60024126267 80032168356 120048252534 240096505068