Search a number
-
+
13240233004095 = 3251741422134003
BaseRepresentation
bin1100000010101011101101…
…1000101000110000111111
31201212202100121021120210200
43000222323120220300333
53213411444122112340
644054251251334543
72534401213423416
oct300527330506077
951782317246720
1013240233004095
1142451733a43a9
12159a0672b1453
137507193cb596
1433ab8b60847d
1517e61ecbb330
hexc0abb628c3f

13240233004095 has 48 divisors (see below), whose sum is σ = 24892397947872. Its totient is φ = 6483978270720.

The previous prime is 13240233004051. The next prime is 13240233004099. The reversal of 13240233004095 is 59040033204231.

13240233004095 is a `hidden beast` number, since 1 + 3 + 240 + 2 + 3 + 3 + 0 + 0 + 409 + 5 = 666.

13240233004095 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13240233004095 - 29 = 13240233003583 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13240233004099) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 211035637 + ... + 211098366.

It is an arithmetic number, because the mean of its divisors is an integer number (518591623914).

Almost surely, 213240233004095 is an apocalyptic number.

13240233004095 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13240233004095 is a deficient number, since it is larger than the sum of its proper divisors (11652164943777).

13240233004095 is a wasteful number, since it uses less digits than its factorization.

13240233004095 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422134072 (or 422134069 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 13240233004095 in words is "thirteen trillion, two hundred forty billion, two hundred thirty-three million, four thousand, ninety-five".

Divisors: 1 3 5 9 15 17 41 45 51 85 123 153 205 255 369 615 697 765 1845 2091 3485 6273 10455 31365 422134003 1266402009 2110670015 3799206027 6332010045 7176278051 17307494123 18996030135 21528834153 35881390255 51922482369 64586502459 86537470615 107644170765 155767447107 259612411845 294227400091 322932512295 778837235535 882682200273 1471137000455 2648046600819 4413411001365 13240233004095