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14157817296 = 243783507667
BaseRepresentation
bin11010010111101111…
…10010010111010000
31100112200102122012120
431023313302113100
5212443400123141
610300511054240
71010562314160
oct151367622720
940480378176
1014157817296
11600579a757
1228b1511380
131448216cac
149844385a0
1557ce08c66
hex34bdf25d0

14157817296 has 80 divisors (see below), whose sum is σ = 42302959104. Its totient is φ = 3996346752.

The previous prime is 14157817249. The next prime is 14157817327. The reversal of 14157817296 is 69271875141.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 225946 + ... + 281721.

Almost surely, 214157817296 is an apocalyptic number.

14157817296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14157817296 is an abundant number, since it is smaller than the sum of its proper divisors (28145141808).

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

14157817296 is a wasteful number, since it uses less digits than its factorization.

14157817296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507768 (or 507762 counting only the distinct ones).

The product of its digits is 846720, while the sum is 51.

The spelling of 14157817296 in words is "fourteen billion, one hundred fifty-seven million, eight hundred seventeen thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 83 84 112 166 168 249 332 336 498 581 664 996 1162 1328 1743 1992 2324 3486 3984 4648 6972 9296 13944 27888 507667 1015334 1523001 2030668 3046002 3553669 4061336 6092004 7107338 8122672 10661007 12184008 14214676 21322014 24368016 28429352 42136361 42644028 56858704 84272722 85288056 126409083 168545444 170576112 252818166 294954527 337090888 505636332 589909054 674181776 884863581 1011272664 1179818108 1769727162 2022545328 2359636216 3539454324 4719272432 7078908648 14157817296