Search a number
-
+
133202440044 = 22327959877823
BaseRepresentation
bin111110000001101111…
…0111110111101101100
3110201211002220001111100
41330003132332331230
54140244311040134
6141105314323100
712423611026152
oct1740336767554
9421732801440
10133202440044
11515443397a3
1221995289490
13c73a4b8b7b
14663892b3d2
1536e9094999
hex1f037bef6c

133202440044 has 72 divisors (see below), whose sum is σ = 341068815360. Its totient is φ = 43825852512.

The previous prime is 133202440027. The next prime is 133202440069. The reversal of 133202440044 is 440044202331.

It is a happy number.

133202440044 is a `hidden beast` number, since 13 + 3 + 202 + 4 + 400 + 44 = 666.

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, 17023117 + ... + 17030939.

It is an arithmetic number, because the mean of its divisors is an integer number (4737066880).

Almost surely, 2133202440044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133202440044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170534407680).

133202440044 is an abundant number, since it is smaller than the sum of its proper divisors (207866375316).

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

133202440044 is a wasteful number, since it uses less digits than its factorization.

133202440044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13899 (or 13894 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 133202440044 its reverse (440044202331), we get a palindrome (573246642375).

The spelling of 133202440044 in words is "one hundred thirty-three billion, two hundred two million, four hundred forty thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 79 158 237 316 474 711 948 1422 2844 5987 7823 11974 15646 17961 23469 23948 31292 35922 46938 53883 70407 71844 93876 107766 140814 215532 281628 472973 618017 945946 1236034 1418919 1854051 1891892 2472068 2837838 3708102 4256757 5562153 5675676 7416204 8513514 11124306 17027028 22248612 46836301 93672602 140508903 187345204 281017806 421526709 562035612 843053418 1686106836 3700067779 7400135558 11100203337 14800271116 22200406674 33300610011 44400813348 66601220022 133202440044