Search a number
-
+
40303920384 = 283471323153
BaseRepresentation
bin100101100010010011…
…010000010100000000
310212000211221021220000
4211202103100110000
51130020300423014
630303152520000
72624524446030
oct454223202400
9125024837800
1040303920384
111610256aa12
127989850000
133a54023900
141d44ac18c0
1510ad51c509
hex9624d0500

40303920384 has 1080 divisors, whose sum is σ = 156419569152. Its totient is φ = 10092625920.

The previous prime is 40303920383. The next prime is 40303920389. The reversal of 40303920384 is 48302930304.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40303920383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 760451302 + ... + 760451354.

Almost surely, 240303920384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40303920384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78209784576).

40303920384 is an abundant number, since it is smaller than the sum of its proper divisors (116115648768).

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

40303920384 is a wasteful number, since it uses less digits than its factorization.

40303920384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 40303920384 in words is "forty billion, three hundred three million, nine hundred twenty thousand, three hundred eighty-four".