Search a number
-
+
133141401144 = 233211316364479
BaseRepresentation
bin111101111111111011…
…0001000111000111000
3110201122212000221212100
41323333312020320320
54140133144314034
6141055254143400
712422240144163
oct1737766107070
9421585027770
10133141401144
1151512939324
1221978951b60
13c72a96708b
14663079cada
1536e3a39099
hex1effd88e38

133141401144 has 48 divisors (see below), whose sum is σ = 363782390400. Its totient is φ = 43987716864.

The previous prime is 133141401131. The next prime is 133141401149. The reversal of 133141401144 is 441104141331.

133141401144 is a `hidden beast` number, since 133 + 1 + 414 + 0 + 114 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133141401149) 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 11 ways as a sum of consecutive naturals, for example, 8174104 + ... + 8190375.

It is an arithmetic number, because the mean of its divisors is an integer number (7578799800).

Almost surely, 2133141401144 is an apocalyptic number.

It is an amenable number.

133141401144 is an abundant number, since it is smaller than the sum of its proper divisors (230640989256).

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

133141401144 is a wasteful number, since it uses less digits than its factorization.

133141401144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16364604 (or 16364597 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 133141401144 its reverse (441104141331), we get a palindrome (574245542475).

The spelling of 133141401144 in words is "one hundred thirty-three billion, one hundred forty-one million, four hundred one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 113 226 339 452 678 904 1017 1356 2034 2712 4068 8136 16364479 32728958 49093437 65457916 98186874 130915832 147280311 196373748 294560622 392747496 589121244 1178242488 1849186127 3698372254 5547558381 7396744508 11095116762 14793489016 16642675143 22190233524 33285350286 44380467048 66570700572 133141401144