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114806782281000 = 23353131292129217
BaseRepresentation
bin11010000110101010001001…
…011110011100010100101000
3120001111102101001102210111110
4122012222021132130110220
5110021443242230443000
61044101301354030320
733116342043001005
oct3206521136342450
9501442331383443
10114806782281000
1133643312655667
1210a623a71183a0
134c0a305200084
14204c96c28a8ac
15d415c411e850
hex686a8979c528

114806782281000 has 128 divisors (see below), whose sum is σ = 360931491423360. Its totient is φ = 30381438464000.

The previous prime is 114806782280999. The next prime is 114806782281013. The reversal of 114806782281000 is 182287608411.

It is a super-2 number, since 2×1148067822810002 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145671609 + ... + 146457608.

It is an arithmetic number, because the mean of its divisors is an integer number (2819777276745).

Almost surely, 2114806782281000 is an apocalyptic number.

114806782281000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114806782281000 is an abundant number, since it is smaller than the sum of its proper divisors (246124709142360).

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

114806782281000 is a wasteful number, since it uses less digits than its factorization.

114806782281000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292129372 (or 292129358 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 48.

The spelling of 114806782281000 in words is "one hundred fourteen trillion, eight hundred six billion, seven hundred eighty-two million, two hundred eighty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 131 150 200 250 262 300 375 393 500 524 600 655 750 786 1000 1048 1310 1500 1572 1965 2620 3000 3144 3275 3930 5240 6550 7860 9825 13100 15720 16375 19650 26200 32750 39300 49125 65500 78600 98250 131000 196500 393000 292129217 584258434 876387651 1168516868 1460646085 1752775302 2337033736 2921292170 3505550604 4381938255 5842584340 7011101208 7303230425 8763876510 11685168680 14606460850 17527753020 21909691275 29212921700 35055506040 36516152125 38268927427 43819382550 58425843400 73032304250 76537854854 87638765100 109548456375 114806782281 146064608500 153075709708 175277530200 191344637135 219096912750 229613564562 292129217000 306151419416 382689274270 438193825500 459227129124 574033911405 765378548540 876387651000 918454258248 956723185675 1148067822810 1530757097080 1913446371350 2296135645620 2870169557025 3826892742700 4592271291240 4783615928375 5740339114050 7653785485400 9567231856750 11480678228100 14350847785125 19134463713500 22961356456200 28701695570250 38268927427000 57403391140500 114806782281000