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14221411300 = 22522332692269
BaseRepresentation
bin11010011111010100…
…11000001111100100
31100201010002112210001
431033222120033210
5213111140130200
610311102111044
71012264000345
oct151752301744
940633075701
1014221411300
116038685888
12290a87b484
131458451a95
1498ca700cc
155837bb76a
hex34fa983e4

14221411300 has 72 divisors (see below), whose sum is σ = 31121836200. Its totient is φ = 5640606720.

The previous prime is 14221411277. The next prime is 14221411301. The reversal of 14221411300 is 311412241.

It can be written as a sum of positive squares in 12 ways, for example, as 12765836196 + 1455575104 = 112986^2 + 38152^2 .

It is not an unprimeable number, because it can be changed into a prime (14221411301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6266566 + ... + 6268834.

It is an arithmetic number, because the mean of its divisors is an integer number (432247725).

Almost surely, 214221411300 is an apocalyptic number.

14221411300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14221411300 is an abundant number, since it is smaller than the sum of its proper divisors (16900424900).

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

14221411300 is a wasteful number, since it uses less digits than its factorization.

14221411300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2785 (or 2778 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 14221411300 its reverse (311412241), we get a palindrome (14532823541).

The spelling of 14221411300 in words is "fourteen billion, two hundred twenty-one million, four hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 233 269 466 538 932 1076 1165 1345 2269 2330 2690 4538 4660 5380 5825 6725 9076 11345 11650 13450 22690 23300 26900 45380 56725 62677 113450 125354 226900 250708 313385 528677 610361 626770 1057354 1220722 1253540 1566925 2114708 2441444 2643385 3051805 3133850 5286770 6103610 6267700 10573540 12207220 13216925 15259025 26433850 30518050 52867700 61036100 142214113 284428226 568856452 711070565 1422141130 2844282260 3555352825 7110705650 14221411300