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14286924900 = 22325273217457
BaseRepresentation
bin11010100111001000…
…10010110001100100
31100212200100222112200
431103210102301210
5213224423044100
610321402214500
71014020600163
oct152344226144
940780328480
1014286924900
116071662156
1229287b4430
131468bac521
149976453da
1558940ce00
hex353912c64

14286924900 has 108 divisors (see below), whose sum is σ = 45395227332. Its totient is φ = 3757639680.

The previous prime is 14286924893. The next prime is 14286924901. The reversal of 14286924900 is 942968241.

It can be written as a sum of positive squares in 6 ways, for example, as 658230336 + 13628694564 = 25656^2 + 116742^2 .

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

It is not an unprimeable number, because it can be changed into a prime (14286924901) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 43029 + ... + 174428.

It is an arithmetic number, because the mean of its divisors is an integer number (420326179).

Almost surely, 214286924900 is an apocalyptic number.

14286924900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14286924900 is an abundant number, since it is smaller than the sum of its proper divisors (31108302432).

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

14286924900 is a wasteful number, since it uses less digits than its factorization.

14286924900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217550 (or 217540 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 14286924900 in words is "fourteen billion, two hundred eighty-six million, nine hundred twenty-four thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 73 75 90 100 146 150 180 219 225 292 300 365 438 450 657 730 876 900 1095 1314 1460 1825 2190 2628 3285 3650 4380 5475 6570 7300 10950 13140 16425 21900 32850 65700 217457 434914 652371 869828 1087285 1304742 1957113 2174570 2609484 3261855 3914226 4349140 5436425 6523710 7828452 9785565 10872850 13047420 15874361 16309275 19571130 21745700 31748722 32618550 39142260 47623083 48927825 63497444 65237100 79371805 95246166 97855650 142869249 158743610 190492332 195711300 238115415 285738498 317487220 396859025 476230830 571476996 714346245 793718050 952461660 1190577075 1428692490 1587436100 2381154150 2857384980 3571731225 4762308300 7143462450 14286924900