Search a number
-
+
40743860976 = 24337133167499
BaseRepresentation
bin100101111100100001…
…011111101011110000
310220011111202120221000
4211330201133223300
51131420412022401
630414550202000
72641446050460
oct457441375360
9126144676830
1040743860976
1116308935885
127a91053300
133ac420a9a0
141d872c1ba0
1510d6e70186
hex97c85faf0

40743860976 has 640 divisors, whose sum is σ = 151101440000. Its totient is φ = 10223262720.

The previous prime is 40743860939. The next prime is 40743860977. The reversal of 40743860976 is 67906834704.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40743860977) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 81650775 + ... + 81651273.

It is an arithmetic number, because the mean of its divisors is an integer number (236096000).

Almost surely, 240743860976 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 40743860976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75550720000).

40743860976 is an abundant number, since it is smaller than the sum of its proper divisors (110357579024).

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

40743860976 is a wasteful number, since it uses less digits than its factorization.

40743860976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 40743860976 in words is "forty billion, seven hundred forty-three million, eight hundred sixty thousand, nine hundred seventy-six".