Search a number
-
+
40700330496 = 29357172749
BaseRepresentation
bin100101111001111011…
…011100001000000000
310220001110212000100000
4211321323130020000
51131323241033441
630410353200000
72640410046450
oct457173341000
9126043760300
1040700330496
1116296303781
127a7a560000
133ab81a91c7
141d815cdd60
1510d32222b6
hex979edc200

40700330496 has 480 divisors, whose sum is σ = 147459312000. Its totient is φ = 10940645376.

The previous prime is 40700330491. The next prime is 40700330509. The reversal of 40700330496 is 69403300704.

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

It is a self number, because there is not a number n which added to its sum of digits gives 40700330496.

It is not an unprimeable number, because it can be changed into a prime (40700330491) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14804130 + ... + 14806878.

It is an arithmetic number, because the mean of its divisors is an integer number (307206900).

Almost surely, 240700330496 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 40700330496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73729656000).

40700330496 is an abundant number, since it is smaller than the sum of its proper divisors (106758981504).

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

40700330496 is an equidigital number, since it uses as much as digits as its factorization.

40700330496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2806 (or 2778 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 40700330496 in words is "forty billion, seven hundred million, three hundred thirty thousand, four hundred ninety-six".