Search a number
-
+
132115410945 = 3257419414003
BaseRepresentation
bin111101100001010110…
…0010011000000000001
3110122000100110020220100
41323002230103000001
54131033021122240
6140405403433013
712354641315130
oct1730254230001
9418010406810
10132115410945
1151036783741
1221731225769
13c5c622a09b
146574407917
153683921e30
hex1ec2b13001

132115410945 has 24 divisors (see below), whose sum is σ = 261714338496. Its totient is φ = 60395616288.

The previous prime is 132115410943. The next prime is 132115410989. The reversal of 132115410945 is 549014511231.

132115410945 is a `hidden beast` number, since 1 + 3 + 21 + 1 + 541 + 0 + 94 + 5 = 666.

It is not a de Polignac number, because 132115410945 - 21 = 132115410943 is a prime.

It is not an unprimeable number, because it can be changed into a prime (132115410941) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 209706687 + ... + 209707316.

It is an arithmetic number, because the mean of its divisors is an integer number (10904764104).

Almost surely, 2132115410945 is an apocalyptic number.

132115410945 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132115410945 is a deficient number, since it is larger than the sum of its proper divisors (129598927551).

132115410945 is a wasteful number, since it uses less digits than its factorization.

132115410945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419414021 (or 419414018 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 132115410945 in words is "one hundred thirty-two billion, one hundred fifteen million, four hundred ten thousand, nine hundred forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 419414003 1258242009 2097070015 2935898021 3774726027 6291210045 8807694063 14679490105 18873630135 26423082189 44038470315 132115410945