Search a number
-
+
12154233501405 = 3252814212283109
BaseRepresentation
bin1011000011011110000011…
…0001010011011011011101
31121000221012102121202211100
42300313200301103123131
53043113332234021110
641503324445143313
72363054144105322
oct260674061233335
947027172552740
1012154233501405
113966643a51246
1214436a425ab39
136a21a7077658
143003a7706b49
1516125d4eabc0
hexb0de0c536dd

12154233501405 has 48 divisors (see below), whose sum is σ = 21192539350320. Its totient is φ = 6443844019200.

The previous prime is 12154233501401. The next prime is 12154233501407. The reversal of 12154233501405 is 50410533245121.

12154233501405 is a `hidden beast` number, since 1 + 2 + 15 + 4 + 233 + 5 + 0 + 1 + 405 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2476789783524 + 9677443717881 = 1573782^2 + 3110859^2 .

It is not a de Polignac number, because 12154233501405 - 22 = 12154233501401 is a prime.

It is a super-2 number, since 2×121542335014052 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12154233501405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12154233501401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4181991 + ... + 6465099.

It is an arithmetic number, because the mean of its divisors is an integer number (441511236465).

Almost surely, 212154233501405 is an apocalyptic number.

12154233501405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12154233501405 is a deficient number, since it is larger than the sum of its proper divisors (9038305848915).

12154233501405 is a wasteful number, since it uses less digits than its factorization.

12154233501405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2283822 (or 2283819 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 12154233501405 its reverse (50410533245121), we get a palindrome (62564766746526).

The spelling of 12154233501405 in words is "twelve trillion, one hundred fifty-four billion, two hundred thirty-three million, five hundred one thousand, four hundred five".

Divisors: 1 3 5 9 15 45 281 421 843 1263 1405 2105 2529 3789 4215 6315 12645 18945 118301 354903 591505 1064709 1774515 2283109 5323545 6849327 11415545 20547981 34246635 102739905 641553629 961188889 1924660887 2883566667 3207768145 4805944445 5773982661 8650700001 9623304435 14417833335 28869913305 43253500005 270094077809 810282233427 1350470389045 2430846700281 4051411167135 12154233501405