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14142114200 = 2352197015309
BaseRepresentation
bin11010010101110111…
…11000100110011000
31100111120212211121102
431022323320212120
5212430340123300
610255150330532
71010311662434
oct151273704630
940446784542
1014142114200
115aa7944795
1228a81b9a48
131444ba9616
1498230b9c4
1557b8560d5
hex34aef8998

14142114200 has 96 divisors (see below), whose sum is σ = 34666866000. Its totient is φ = 5350464000.

The previous prime is 14142114191. The next prime is 14142114221. The reversal of 14142114200 is 241124141.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 2661146 + ... + 2666454.

Almost surely, 214142114200 is an apocalyptic number.

14142114200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14142114200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17333433000).

14142114200 is an abundant number, since it is smaller than the sum of its proper divisors (20524751800).

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

14142114200 is a wasteful number, since it uses less digits than its factorization.

14142114200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6045 (or 6036 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 14142114200 its reverse (241124141), we get a palindrome (14383238341).

The spelling of 14142114200 in words is "fourteen billion, one hundred forty-two million, one hundred fourteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 475 701 760 950 1402 1900 2804 3505 3800 5309 5608 7010 10618 13319 14020 17525 21236 26545 26638 28040 35050 42472 53090 53276 66595 70100 100871 106180 106552 132725 133190 140200 201742 212360 265450 266380 332975 403484 504355 530900 532760 665950 806968 1008710 1061800 1331900 2017420 2521775 2663800 3721609 4034840 5043550 7443218 10087100 14886436 18608045 20174200 29772872 37216090 70710571 74432180 93040225 141421142 148864360 186080450 282842284 353552855 372160900 565684568 707105710 744321800 1414211420 1767764275 2828422840 3535528550 7071057100 14142114200