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4114306366000 = 245353103376837
BaseRepresentation
bin111011110111101111110…
…001001111101000110000
3112120022202002021201220021
4323313233301033220300
51014402044412203000
612430030344053224
7603151230042355
oct73675761175060
915508662251807
104114306366000
11134695a758246
12565468a64214
1323ac925335ac
141031c242662c
157205119311a
hex3bdefc4fa30

4114306366000 has 160 divisors (see below), whose sum is σ = 10234534197888. Its totient is φ = 1598990515200.

The previous prime is 4114306365881. The next prime is 4114306366031. The reversal of 4114306366000 is 6636034114.

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, 10729582 + ... + 11106418.

Almost surely, 24114306366000 is an apocalyptic number.

4114306366000 is a gapful number since it is divisible by the number (40) 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 4114306366000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5117267098944).

4114306366000 is an abundant number, since it is smaller than the sum of its proper divisors (6120227831888).

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

4114306366000 is a wasteful number, since it uses less digits than its factorization.

4114306366000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377016 (or 377000 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

The spelling of 4114306366000 in words is "four trillion, one hundred fourteen billion, three hundred six million, three hundred sixty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 53 80 100 103 106 125 200 206 212 250 265 400 412 424 500 515 530 824 848 1000 1030 1060 1325 1648 2000 2060 2120 2575 2650 4120 4240 5150 5300 5459 6625 8240 10300 10600 10918 12875 13250 20600 21200 21836 25750 26500 27295 41200 43672 51500 53000 54590 87344 103000 106000 109180 136475 206000 218360 272950 376837 436720 545900 682375 753674 1091800 1364750 1507348 1884185 2183600 2729500 3014696 3768370 5459000 6029392 7536740 9420925 10918000 15073480 18841850 19972361 30146960 37683700 38814211 39944722 47104625 75367400 77628422 79889444 94209250 99861805 150734800 155256844 159778888 188418500 194071055 199723610 310513688 319557776 376837000 388142110 399447220 499309025 621027376 753674000 776284220 798894440 970355275 998618050 1552568440 1597788880 1940710550 1997236100 2057153183 2496545125 3105136880 3881421100 3994472200 4114306366 4851776375 4993090250 7762842200 7988944400 8228612732 9703552750 9986180500 10285765915 15525684400 16457225464 19407105500 19972361000 20571531830 32914450928 38814211000 39944722000 41143063660 51428829575 77628422000 82286127320 102857659150 164572254640 205715318300 257144147875 411430636600 514288295750 822861273200 1028576591500 2057153183000 4114306366000