Search a number
-
+
132130344040 = 235291131008013
BaseRepresentation
bin111101100001110010…
…1010000110001101000
3110122001101112221020221
41323003211100301220
54131100332002130
6140411055455424
712355212251632
oct1730345206150
9418041487227
10132130344040
1151044153142
1221736227574
13c5c9358136
1465763b3a52
153684dc187a
hex1ec3950c68

132130344040 has 64 divisors (see below), whose sum is σ = 310266709200. Its totient is φ = 50578010112.

The previous prime is 132130343987. The next prime is 132130344083. The reversal of 132130344040 is 40443031231.

It can be written as a sum of positive squares in 8 ways, for example, as 37894851556 + 94235492484 = 194666^2 + 306978^2 .

It is a super-2 number, since 2×1321303440402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132130343996 and 132130344014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 372927 + ... + 635086.

Almost surely, 2132130344040 is an apocalyptic number.

132130344040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132130344040 is an abundant number, since it is smaller than the sum of its proper divisors (178136365160).

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

132130344040 is a wasteful number, since it uses less digits than its factorization.

132130344040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008166 (or 1008162 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 132130344040 its reverse (40443031231), we get a palindrome (172573375271).

The spelling of 132130344040 in words is "one hundred thirty-two billion, one hundred thirty million, three hundred forty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 113 116 145 226 232 290 452 565 580 904 1130 1160 2260 3277 4520 6554 13108 16385 26216 32770 65540 131080 1008013 2016026 4032052 5040065 8064104 10080130 20160260 29232377 40320520 58464754 113905469 116929508 146161885 227810938 233859016 292323770 455621876 569527345 584647540 911243752 1139054690 1169295080 2278109380 3303258601 4556218760 6606517202 13213034404 16516293005 26426068808 33032586010 66065172020 132130344040