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14422268520 = 23325113641987
BaseRepresentation
bin11010110111010001…
…00101101001101000
31101020010001011002100
431123220211221220
5214014100043040
610343035133400
71020253155042
oct153350455150
941203034070
1014422268520
116130aa3890
122965ba4260
13148ac492ca
149ab5d6a92
15596244b30
hex35ba25a68

14422268520 has 96 divisors (see below), whose sum is σ = 51133511520. Its totient is φ = 3496306560.

The previous prime is 14422268503. The next prime is 14422268533. The reversal of 14422268520 is 2586222441.

14422268520 is a `hidden beast` number, since 14 + 42 + 22 + 68 + 520 = 666.

14422268520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 1817034 + ... + 1824953.

It is an arithmetic number, because the mean of its divisors is an integer number (532640745).

Almost surely, 214422268520 is an apocalyptic number.

14422268520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14422268520 is an abundant number, since it is smaller than the sum of its proper divisors (36711243000).

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

14422268520 is a wasteful number, since it uses less digits than its factorization.

14422268520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3642015 (or 3642008 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 14422268520 in words is "fourteen billion, four hundred twenty-two million, two hundred sixty-eight thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 3641987 7283974 10925961 14567948 18209935 21851922 29135896 32777883 36419870 40061857 43703844 54629805 65555766 72839740 80123714 87407688 109259610 120185571 131111532 145679480 160247428 163889415 200309285 218519220 240371142 262223064 320494856 327778830 360556713 400618570 437038440 480742284 600927855 655557660 721113426 801237140 961484568 1201855710 1311115320 1442226852 1602474280 1802783565 2403711420 2884453704 3605567130 4807422840 7211134260 14422268520