Search a number
-
+
14216204100 = 22352717398213
BaseRepresentation
bin11010011110101101…
…00000111101000100
31100200202021222211210
431033112200331010
5213103322012400
610310354331420
71012201512120
oct151726407504
940622258753
1014216204100
11603574960a
122908b89b70
13145734a8b7
1498c0b6580
155830dd950
hex34f5a0f44

14216204100 has 144 divisors (see below), whose sum is σ = 49773564288. Its totient is φ = 3058268160.

The previous prime is 14216204089. The next prime is 14216204131. The reversal of 14216204100 is 140261241.

It is a happy number.

14216204100 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 (21).

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 47 ways as a sum of consecutive naturals, for example, 163407 + ... + 234806.

It is an arithmetic number, because the mean of its divisors is an integer number (345649752).

Almost surely, 214216204100 is an apocalyptic number.

14216204100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14216204100 is an abundant number, since it is smaller than the sum of its proper divisors (35557360188).

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

14216204100 is a wasteful number, since it uses less digits than its factorization.

14216204100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398254 (or 398247 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 14216204100 its reverse (140261241), we get a palindrome (14356465341).

The spelling of 14216204100 in words is "fourteen billion, two hundred sixteen million, two hundred four thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 17 20 21 25 28 30 34 35 42 50 51 60 68 70 75 84 85 100 102 105 119 140 150 170 175 204 210 238 255 300 340 350 357 420 425 476 510 525 595 700 714 850 1020 1050 1190 1275 1428 1700 1785 2100 2380 2550 2975 3570 5100 5950 7140 8925 11900 17850 35700 398213 796426 1194639 1592852 1991065 2389278 2787491 3982130 4778556 5574982 5973195 6769621 7964260 8362473 9955325 11149964 11946390 13539242 13937455 16724946 19910650 20308863 23892780 27078484 27874910 29865975 33449892 33848105 39821300 40617726 41812365 47387347 55749820 59731950 67696210 69687275 81235452 83624730 94774694 101544315 119463900 135392420 139374550 142162041 167249460 169240525 189549388 203088630 209061825 236936735 278749100 284324082 338481050 406177260 418123650 473873470 507721575 568648164 676962100 710810205 836247300 947746940 1015443150 1184683675 1421620410 2030886300 2369367350 2843240820 3554051025 4738734700 7108102050 14216204100