Search a number
-
+
132041331432 = 233210853168977
BaseRepresentation
bin111101011111001000…
…1101101001011101000
3110121211012001121220200
41322332101231023220
54130410040101212
6140354155552200
712353051540643
oct1727621551350
9417735047820
10132041331432
1150aa89866aa
122171045b660
13c5b3a9075a
146568642a5a
15367c18c6dc
hex1ebe46d2e8

132041331432 has 48 divisors (see below), whose sum is σ = 357647006340. Its totient is φ = 44009461248.

The previous prime is 132041331427. The next prime is 132041331449. The reversal of 132041331432 is 234133140231.

It is a happy number.

132041331432 is a `hidden beast` number, since 1 + 320 + 4 + 1 + 331 + 4 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 131372902116 + 668429316 = 362454^2 + 25854^2 .

It is a junction number, because it is equal to n+sod(n) for n = 132041331396 and 132041331405.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 696928 + ... + 865904.

Almost surely, 2132041331432 is an apocalyptic number.

132041331432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132041331432 is an abundant number, since it is smaller than the sum of its proper divisors (225605674908).

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

132041331432 is a wasteful number, since it uses less digits than its factorization.

132041331432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179842 (or 179835 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 132041331432 its reverse (234133140231), we get a palindrome (366174471663).

The spelling of 132041331432 in words is "one hundred thirty-two billion, forty-one million, three hundred thirty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 10853 21706 32559 43412 65118 86824 97677 130236 168977 195354 260472 337954 390708 506931 675908 781416 1013862 1351816 1520793 2027724 3041586 4055448 6083172 12166344 1833907381 3667814762 5501722143 7335629524 11003444286 14671259048 16505166429 22006888572 33010332858 44013777144 66020665716 132041331432