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39820450243140 = 22325724514790277
BaseRepresentation
bin10010000110111011010111…
…10010101010001001000100
312012222210112122101022112200
421003131223302222021010
520204404240230240030
6220405132353514500
711246634610224600
oct1103355362521104
9165883478338480
1039820450243140
1111762838055266
124571578272a30
13192b08b006798
149b946a402500
15490c4bcedd60
hex24376bcaa244

39820450243140 has 108 divisors (see below), whose sum is σ = 140509303031916. Its totient is φ = 9101817196416.

The previous prime is 39820450243121. The next prime is 39820450243151. The reversal of 39820450243140 is 4134205402893.

39820450243140 is a `hidden beast` number, since 3 + 9 + 8 + 204 + 5 + 0 + 2 + 431 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19498512466944 + 20321937776196 = 4415712^2 + 4507986^2 .

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 35 ways as a sum of consecutive naturals, for example, 2257386319 + ... + 2257403958.

Almost surely, 239820450243140 is an apocalyptic number.

39820450243140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

39820450243140 is an abundant number, since it is smaller than the sum of its proper divisors (100688852788776).

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

39820450243140 is a wasteful number, since it uses less digits than its factorization.

39820450243140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4514790306 (or 4514790294 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 39820450243140 in words is "thirty-nine trillion, eight hundred twenty billion, four hundred fifty million, two hundred forty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1260 1470 1764 2205 2940 4410 8820 4514790277 9029580554 13544370831 18059161108 22573951385 27088741662 31603531939 40633112493 45147902770 54177483324 63207063878 67721854155 81266224986 90295805540 94810595817 126414127756 135443708310 158017659695 162532449972 189621191634 203165562465 221224723573 270887416620 284431787451 316035319390 379242383268 406331124930 442449447146 474052979085 568863574902 632070638780 663674170719 812662249860 884898894292 948105958170 1106123617865 1137727149804 1327348341438 1422158937255 1896211916340 1991022512157 2212247235730 2654696682876 2844317874510 3318370853595 3982045024314 4424494471460 5688635749020 6636741707190 7964090048628 9955112560785 13273483414380 19910225121570 39820450243140