Search a number
-
+
132404404414005 = 32519592624728009
BaseRepresentation
bin11110000110101111001101…
…011111011110011000110101
3122100210201220121002220220100
4132012233031133132120311
5114323303210012222010
61145333424345024313
736613621400051643
oct3606571537363065
9570721817086810
10132404404414005
1139208435574889
1212a24a3b185099
1358b58b2aa4a09
14249a59bb58193
15104922097b2c0
hex786bcd7de635

132404404414005 has 48 divisors (see below), whose sum is σ = 245674541736000. Its totient is φ = 65765184968448.

The previous prime is 132404404414003. The next prime is 132404404414013. The reversal of 132404404414005 is 500414404404231.

132404404414005 is a `hidden beast` number, since 1 + 3 + 240 + 4 + 4 + 0 + 4 + 4 + 1 + 400 + 5 = 666.

It is not a de Polignac number, because 132404404414005 - 21 = 132404404414003 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132404404414003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1312313560 + ... + 1312414449.

It is an arithmetic number, because the mean of its divisors is an integer number (5118219619500).

Almost surely, 2132404404414005 is an apocalyptic number.

132404404414005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132404404414005 is a deficient number, since it is larger than the sum of its proper divisors (113270137321995).

132404404414005 is a wasteful number, since it uses less digits than its factorization.

132404404414005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2624728098 (or 2624728095 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

Adding to 132404404414005 its reverse (500414404404231), we get a palindrome (632818808818236).

The spelling of 132404404414005 in words is "one hundred thirty-two trillion, four hundred four billion, four hundred four million, four hundred fourteen thousand, five".

Divisors: 1 3 5 9 15 19 45 57 59 95 171 177 285 295 531 855 885 1121 2655 3363 5605 10089 16815 50445 2624728009 7874184027 13123640045 23622552081 39370920135 49869832171 118112760405 149609496513 154858952531 249349160855 448828489539 464576857593 748047482565 774294762655 1393730572779 2244142447695 2322884287965 2942320098089 6968652863895 8826960294267 14711600490445 26480880882801 44134801471335 132404404414005