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14013320200 = 2352117980629
BaseRepresentation
bin11010000110100001…
…00100110000001000
31100011121112102110021
431003100210300020
5212144402221300
610234310030224
71004156153635
oct150320446010
940147472407
1014013320200
115a41176970
122871048374
1314242c3a59
1496d18318c
155703b4d1a
hex343424c08

14013320200 has 96 divisors (see below), whose sum is σ = 35993232000. Its totient is φ = 5031187200.

The previous prime is 14013320161. The next prime is 14013320207. The reversal of 14013320200 is 202331041.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (14013320207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133486 + ... + 214114.

It is an arithmetic number, because the mean of its divisors is an integer number (374929500).

Almost surely, 214013320200 is an apocalyptic number.

14013320200 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 14013320200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17996616000).

14013320200 is an abundant number, since it is smaller than the sum of its proper divisors (21979911800).

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

14013320200 is a wasteful number, since it uses less digits than its factorization.

14013320200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80735 (or 80726 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 14013320200 its reverse (202331041), we get a palindrome (14215651241).

The spelling of 14013320200 in words is "fourteen billion, thirteen million, three hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 79 88 100 110 158 200 220 275 316 395 440 550 632 790 869 1100 1580 1738 1975 2200 3160 3476 3950 4345 6952 7900 8690 15800 17380 21725 34760 43450 80629 86900 161258 173800 322516 403145 645032 806290 886919 1612580 1773838 2015725 3225160 3547676 4031450 4434595 6369691 7095352 8062900 8869190 12739382 16125800 17738380 22172975 25478764 31848455 35476760 44345950 50957528 63696910 70066601 88691900 127393820 140133202 159242275 177383800 254787640 280266404 318484550 350333005 560532808 636969100 700666010 1273938200 1401332020 1751665025 2802664040 3503330050 7006660100 14013320200