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14100314100 = 22352411146367
BaseRepresentation
bin11010010000111000…
…11011011111110100
31100101200020011122120
431020130123133310
5212334140022400
610251054355540
71006263456315
oct151034333764
940350204576
1014100314100
115a86294754
1228961bbbb0
131439332632
1497a94a60c
15577d4aca0
hex34871b7f4

14100314100 has 72 divisors (see below), whose sum is σ = 41791991808. Its totient is φ = 3668371200.

The previous prime is 14100314099. The next prime is 14100314113. The reversal of 14100314100 is 141300141.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 14100314100.

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 23 ways as a sum of consecutive naturals, for example, 560884 + ... + 585483.

Almost surely, 214100314100 is an apocalyptic number.

14100314100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14100314100 is an abundant number, since it is smaller than the sum of its proper divisors (27691677708).

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

14100314100 is a wasteful number, since it uses less digits than its factorization.

14100314100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146425 (or 1146418 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 14100314100 its reverse (141300141), we get a palindrome (14241614241).

The spelling of 14100314100 in words is "fourteen billion, one hundred million, three hundred fourteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 41 50 60 75 82 100 123 150 164 205 246 300 410 492 615 820 1025 1230 2050 2460 3075 4100 6150 12300 1146367 2292734 3439101 4585468 5731835 6878202 11463670 13756404 17195505 22927340 28659175 34391010 47001047 57318350 68782020 85977525 94002094 114636700 141003141 171955050 188004188 235005235 282006282 343910100 470010470 564012564 705015705 940020940 1175026175 1410031410 2350052350 2820062820 3525078525 4700104700 7050157050 14100314100