Search a number
-
+
32133433140 = 22325593025747
BaseRepresentation
bin11101111011010011…
…010100011100110100
310001221102201112110100
4131323103110130310
51011302124330030
622432322554100
72215203450354
oct357323243464
9101842645410
1032133433140
111269a537a16
126289508930
13305138a783
1417ab918b64
15c81097360
hex77b4d4734

32133433140 has 72 divisors (see below), whose sum is σ = 99123504480. Its totient is φ = 8423676864.

The previous prime is 32133433139. The next prime is 32133433141. The reversal of 32133433140 is 4133433123.

32133433140 is a `hidden beast` number, since 3 + 2 + 1 + 3 + 343 + 314 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (32133433139) and next prime (32133433141).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32133433141) 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, 1502254 + ... + 1523493.

It is an arithmetic number, because the mean of its divisors is an integer number (1376715340).

Almost surely, 232133433140 is an apocalyptic number.

32133433140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32133433140 is an abundant number, since it is smaller than the sum of its proper divisors (66990071340).

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

32133433140 is a wasteful number, since it uses less digits than its factorization.

32133433140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3025821 (or 3025816 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 32133433140 its reverse (4133433123), we get a palindrome (36266866263).

The spelling of 32133433140 in words is "thirty-two billion, one hundred thirty-three million, four hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 59 60 90 118 177 180 236 295 354 531 590 708 885 1062 1180 1770 2124 2655 3540 5310 10620 3025747 6051494 9077241 12102988 15128735 18154482 27231723 30257470 36308964 45386205 54463446 60514940 90772410 108926892 136158615 178519073 181544820 272317230 357038146 535557219 544634460 714076292 892595365 1071114438 1606671657 1785190730 2142228876 2677786095 3213343314 3570381460 5355572190 6426686628 8033358285 10711144380 16066716570 32133433140