Search a number
-
+
132145520430000 = 24354711232487211
BaseRepresentation
bin11110000010111110000110…
…110011011100101110110000
3122022212222200112012220210110
4132002332012303130232300
5114310033011212230000
61145014451454501320
736556125120360120
oct3602760663345660
9568788615186713
10132145520430000
113911866728a9a0
12129a282b504840
1358973662c626c
14248bc3d4d0c80
15104261cc50850
hex782f86cdcbb0

132145520430000 has 800 divisors, whose sum is σ = 554968071770112. Its totient is φ = 26264937600000.

The previous prime is 132145520429971. The next prime is 132145520430103. The reversal of 132145520430000 is 34025541231.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 132145520430000.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 51886395 + ... + 54373605.

Almost surely, 2132145520430000 is an apocalyptic number.

132145520430000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132145520430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277484035885056).

132145520430000 is an abundant number, since it is smaller than the sum of its proper divisors (422822551340112).

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

132145520430000 is a wasteful number, since it uses less digits than its factorization.

132145520430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2487283 (or 2487262 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 132145520430000 its reverse (34025541231), we get a palindrome (132179545971231).

The spelling of 132145520430000 in words is "one hundred thirty-two trillion, one hundred forty-five billion, five hundred twenty million, four hundred thirty thousand".