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14322144144321 = 33131715715288059
BaseRepresentation
bin1101000001101010001001…
…0100000110101111000001
31212201011221211222001211000
43100122202110012233001
53334123222400104241
650243300250042213
73005512040402436
oct320324224065701
955634854861730
1014322144144321
114621a94aa0302
121733889119369
137cb759733320
143772a4553b8d
1519c8426aeeb6
hexd06a2506bc1

14322144144321 has 64 divisors (see below), whose sum is σ = 24348375878400. Its totient is φ = 8242342437888.

The previous prime is 14322144144271. The next prime is 14322144144377. The reversal of 14322144144321 is 12344144122341.

14322144144321 is a `hidden beast` number, since 1 + 4 + 3 + 2 + 214 + 4 + 1 + 4 + 432 + 1 = 666.

It is not a de Polignac number, because 14322144144321 - 27 = 14322144144193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14322144149321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6707211 + ... + 8580848.

It is an arithmetic number, because the mean of its divisors is an integer number (380443373100).

Almost surely, 214322144144321 is an apocalyptic number.

It is an amenable number.

14322144144321 is a deficient number, since it is larger than the sum of its proper divisors (10026231734079).

14322144144321 is a wasteful number, since it uses less digits than its factorization.

14322144144321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15288255 (or 15288249 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

Adding to 14322144144321 its reverse (12344144122341), we get a palindrome (26666288266662).

The spelling of 14322144144321 in words is "fourteen trillion, three hundred twenty-two billion, one hundred forty-four million, one hundred forty-four thousand, three hundred twenty-one".

Divisors: 1 3 9 13 17 27 39 51 117 153 157 221 351 459 471 663 1413 1989 2041 2669 4239 5967 6123 8007 18369 24021 34697 55107 72063 104091 312273 936819 15288059 45864177 137592531 198744767 259897003 412777593 596234301 779691009 1788702903 2339073027 2400225263 3378661039 5366108709 7017219081 7200675789 10135983117 21602027367 30407949351 31202928419 40803829471 64806082101 91223848053 93608785257 122411488413 280826355771 367234465239 530449783123 842479067313 1101703395717 1591349349369 4774048048107 14322144144321