Search a number
-
+
121414224204 = 223271337061729
BaseRepresentation
bin111000100010011011…
…0100000100101001100
3102121101120021122101200
41301010312200211030
53442124020133304
6131435452105500
711525520610020
oct1610466404514
9377346248350
10121414224204
1147545189759
121b645465290
13b5ac1a6320
145c3b0bc380
153259209e39
hex1c44da094c

121414224204 has 72 divisors (see below), whose sum is σ = 377733152160. Its totient is φ = 32021332992.

The previous prime is 121414224167. The next prime is 121414224229. The reversal of 121414224204 is 402422414121.

121414224204 is a `hidden beast` number, since 1 + 2 + 1 + 414 + 2 + 242 + 0 + 4 = 666.

It is a super-4 number, since 4×1214142242044 (a number of 45 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18527589 + ... + 18534140.

It is an arithmetic number, because the mean of its divisors is an integer number (5246293780).

Almost surely, 2121414224204 is an apocalyptic number.

121414224204 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

121414224204 is an abundant number, since it is smaller than the sum of its proper divisors (256318927956).

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

121414224204 is a wasteful number, since it uses less digits than its factorization.

121414224204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37061759 (or 37061754 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 121414224204 its reverse (402422414121), we get a palindrome (523836638325).

The spelling of 121414224204 in words is "one hundred twenty-one billion, four hundred fourteen million, two hundred twenty-four thousand, two hundred four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 468 546 819 1092 1638 3276 37061729 74123458 111185187 148246916 222370374 259432103 333555561 444740748 481802477 518864206 667111122 778296309 963604954 1037728412 1334222244 1445407431 1556592618 1927209908 2334888927 2890814862 3113185236 3372617339 4336222293 4669777854 5781629724 6745234678 8672444586 9339555708 10117852017 13490469356 17344889172 20235704034 30353556051 40471408068 60707112102 121414224204