Search a number
-
+
133432033240 = 235111013002521
BaseRepresentation
bin111110001000100101…
…0110011111111011000
3110202102002220121011001
41330101022303333120
54141232100030430
6141144155314344
712432366366112
oct1742112637730
9422362817131
10133432033240
11516519a4540
1221a3a14b9b4
13c775c34c2c
14665b2143b2
15370e2e73ca
hex1f112b3fd8

133432033240 has 64 divisors (see below), whose sum is σ = 330757823520. Its totient is φ = 48040320000.

The previous prime is 133432033223. The next prime is 133432033243. The reversal of 133432033240 is 42330234331.

It is a happy number.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 133432033199 and 133432033208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133432033243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1456821 + ... + 1545700.

Almost surely, 2133432033240 is an apocalyptic number.

133432033240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133432033240 is an abundant number, since it is smaller than the sum of its proper divisors (197325790280).

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

133432033240 is a wasteful number, since it uses less digits than its factorization.

133432033240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3002644 (or 3002640 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 28.

Adding to 133432033240 its reverse (42330234331), we get a palindrome (175762267571).

The spelling of 133432033240 in words is "one hundred thirty-three billion, four hundred thirty-two million, thirty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 101 110 202 220 404 440 505 808 1010 1111 2020 2222 4040 4444 5555 8888 11110 22220 44440 3002521 6005042 12010084 15012605 24020168 30025210 33027731 60050420 66055462 120100840 132110924 165138655 264221848 303254621 330277310 606509242 660554620 1213018484 1321109240 1516273105 2426036968 3032546210 3335800831 6065092420 6671601662 12130184840 13343203324 16679004155 26686406648 33358008310 66716016620 133432033240