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245345350244040 = 233251740089109517
BaseRepresentation
bin110111110010001111101010…
…011100101101011011001000
31012011200210020022002022121100
4313302033222130231123020
5224124214234130302130
62225450033052341400
7102451421331646104
oct6762175234553310
91164623208068540
10245345350244040
11711a1419088802
12236256a5474860
13a6b8c7609a917
144482ac7988904
151d56ee0210c60
hexdf23ea72d6c8

245345350244040 has 96 divisors (see below), whose sum is σ = 844276646449080. Its totient is φ = 61576872216576.

The previous prime is 245345350243999. The next prime is 245345350244051. The reversal of 245345350244040 is 40442053543542.

245345350244040 is a `hidden beast` number, since 2 + 4 + 5 + 34 + 535 + 0 + 2 + 4 + 40 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 195256410602724 + 50088939641316 = 13973418^2 + 7077354^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20044548639 + ... + 20044560878.

Almost surely, 2245345350244040 is an apocalyptic number.

245345350244040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

245345350244040 is an abundant number, since it is smaller than the sum of its proper divisors (598931296205040).

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

245345350244040 is a wasteful number, since it uses less digits than its factorization.

245345350244040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40089109551 (or 40089109544 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 45.

The spelling of 245345350244040 in words is "two hundred forty-five trillion, three hundred forty-five billion, three hundred fifty million, two hundred forty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 306 340 360 408 510 612 680 765 1020 1224 1530 2040 3060 6120 40089109517 80178219034 120267328551 160356438068 200445547585 240534657102 320712876136 360801985653 400891095170 481069314204 601336642755 681514861789 721603971306 801782190340 962138628408 1202673285510 1363029723578 1443207942612 1603564380680 1804009928265 2044544585367 2405346571020 2726059447156 2886415885224 3407574308945 3608019856530 4089089170734 4810693142040 5452118894312 6133633756101 6815148617890 7216039713060 8178178341468 10222722926835 12267267512202 13630297235780 14432079426120 16356356682936 20445445853670 24534535024404 27260594471560 30668168780505 40890891707340 49069070048808 61336337561010 81781783414680 122672675122020 245345350244040