Search a number
-
+
40133899008 = 283372928603
BaseRepresentation
bin100101011000001010…
…101011001100000000
310211121000000022102000
4211120022223030000
51124143234232013
630234240424000
72620361340630
oct453012531400
9124530008360
1040133899008
11160255a3385
127940918000
133a27a34948
141d2a2a46c0
15109d635973
hex9582ab300

40133899008 has 288 divisors, whose sum is σ = 140319782400. Its totient is φ = 11071033344.

The previous prime is 40133898997. The next prime is 40133899009. The reversal of 40133899008 is 80099833104.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×401338990082 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40133899009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1388835 + ... + 1417437.

Almost surely, 240133899008 is an apocalyptic number.

40133899008 is a gapful number since it is divisible by the number (48) 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 40133899008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70159891200).

40133899008 is an abundant number, since it is smaller than the sum of its proper divisors (100185883392).

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

40133899008 is a wasteful number, since it uses less digits than its factorization.

40133899008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28664 (or 28644 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 40133899008 in words is "forty billion, one hundred thirty-three million, eight hundred ninety-nine thousand, eight".