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14188384197 = 3413192113361
BaseRepresentation
bin11010011011011000…
…11000111111000101
31100121210221121010000
431031230120333011
5213024211243242
610303522151513
71011413163411
oct151554307705
940553847100
1014188384197
116020a78059
1228bb7b2599
13145165a010
14988513d41
15580945a4c
hex34db18fc5

14188384197 has 80 divisors (see below), whose sum is σ = 24147766720. Its totient is φ = 8230118400.

The previous prime is 14188384181. The next prime is 14188384277. The reversal of 14188384197 is 79148388141.

14188384197 is a `hidden beast` number, since 1 + 418 + 8 + 38 + 4 + 197 = 666.

It is not a de Polignac number, because 14188384197 - 24 = 14188384181 is a prime.

It is a super-2 number, since 2×141883841972 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14188384157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4219797 + ... + 4223157.

It is an arithmetic number, because the mean of its divisors is an integer number (301847084).

Almost surely, 214188384197 is an apocalyptic number.

It is an amenable number.

14188384197 is a deficient number, since it is larger than the sum of its proper divisors (9959382523).

14188384197 is a wasteful number, since it uses less digits than its factorization.

14188384197 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3616 (or 3607 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 54.

The spelling of 14188384197 in words is "fourteen billion, one hundred eighty-eight million, three hundred eighty-four thousand, one hundred ninety-seven".

Divisors: 1 3 9 13 19 27 39 57 81 117 171 211 247 351 513 633 741 1053 1539 1899 2223 2743 3361 4009 5697 6669 8229 10083 12027 17091 20007 24687 30249 36081 43693 52117 63859 74061 90747 108243 131079 156351 191577 222183 272241 324729 393237 469053 574731 709171 830167 1179711 1407159 1724193 2127513 2490501 3539133 4221477 5172579 6382539 7471503 9219223 13474249 19147617 22414509 27657669 40422747 57442851 67243527 82973007 121268241 175165237 248919021 363804723 525495711 746757063 1091414169 1576487133 4729461399 14188384197