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14211062000 = 245326212711
BaseRepresentation
bin11010011110000101…
…11001100011110000
31100200101121202012122
431033002321203300
5213101012441000
610310052213412
71012110014432
oct151702714360
940611552178
1014211062000
116032857243
12290730a268
13145626a235
1498b538652
15582925085
hex34f0b98f0

14211062000 has 80 divisors (see below), whose sum is σ = 34388138304. Its totient is φ = 5680160000.

The previous prime is 14211061993. The next prime is 14211062011. The reversal of 14211062000 is 26011241.

14211062000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 14211062000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5240645 + ... + 5243355.

Almost surely, 214211062000 is an apocalyptic number.

14211062000 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 14211062000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17194069152).

14211062000 is an abundant number, since it is smaller than the sum of its proper divisors (20177076304).

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

14211062000 is a wasteful number, since it uses less digits than its factorization.

14211062000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5355 (or 5339 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 14211062000 its reverse (26011241), we get a palindrome (14237073241).

The spelling of 14211062000 in words is "fourteen billion, two hundred eleven million, sixty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 2621 2711 5242 5422 10484 10844 13105 13555 20968 21688 26210 27110 41936 43376 52420 54220 65525 67775 104840 108440 131050 135550 209680 216880 262100 271100 327625 338875 524200 542200 655250 677750 1048400 1084400 1310500 1355500 2621000 2711000 5242000 5422000 7105531 14211062 28422124 35527655 56844248 71055310 113688496 142110620 177638275 284221240 355276550 568442480 710553100 888191375 1421106200 1776382750 2842212400 3552765500 7105531000 14211062000