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14300680240 = 2457112211049
BaseRepresentation
bin11010101000110001…
…10001000000110000
31100220122020211022201
431110120301000300
5213241433231430
610323013112544
71014245530210
oct152430610060
940818224281
1014300680240
1160793a7800
122931328754
13146b9b7492
149993c6240
1558a7288ca
hex354631030

14300680240 has 120 divisors (see below), whose sum is σ = 41767639200. Its totient is φ = 4457333760.

The previous prime is 14300680231. The next prime is 14300680259. The reversal of 14300680240 is 4208600341.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 14300680199 and 14300680208.

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, 37765 + ... + 173284.

It is an arithmetic number, because the mean of its divisors is an integer number (348063660).

Almost surely, 214300680240 is an apocalyptic number.

14300680240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14300680240 is an abundant number, since it is smaller than the sum of its proper divisors (27466958960).

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

14300680240 is a wasteful number, since it uses less digits than its factorization.

14300680240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211091 (or 211074 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The spelling of 14300680240 in words is "fourteen billion, three hundred million, six hundred eighty thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 121 140 154 176 220 242 280 308 385 440 484 560 605 616 770 847 880 968 1210 1232 1540 1694 1936 2420 3080 3388 4235 4840 6160 6776 8470 9680 13552 16940 33880 67760 211049 422098 844196 1055245 1477343 1688392 2110490 2321539 2954686 3376784 4220980 4643078 5909372 7386715 8441960 9286156 11607695 11818744 14773430 16250773 16883920 18572312 23215390 23637488 25536929 29546860 32501546 37144624 46430780 51073858 59093720 65003092 81253865 92861560 102147716 118187440 127684645 130006184 162507730 178758503 185723120 204295432 255369290 260012368 325015460 357517006 408590864 510738580 650030920 715034012 893792515 1021477160 1300061840 1430068024 1787585030 2042954320 2860136048 3575170060 7150340120 14300680240