Search a number
-
+
40717727232 = 293713319397
BaseRepresentation
bin100101111010111101…
…110011011000000000
310220002200120212011120
4211322331303120000
51131342214232412
630412214112240
72641010654010
oct457275633000
9126080525146
1040717727232
11162a5106146
127a8434b680
133abb98a730
141d83a3bc40
1510d4a0bb8c
hex97af73600

40717727232 has 320 divisors, whose sum is σ = 137828511744. Its totient is φ = 10391224320.

The previous prime is 40717727147. The next prime is 40717727233. The reversal of 40717727232 is 23272771704.

40717727232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40717727233) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4328358 + ... + 4337754.

Almost surely, 240717727232 is an apocalyptic number.

40717727232 is a gapful number since it is divisible by the number (42) 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 40717727232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68914255872).

40717727232 is an abundant number, since it is smaller than the sum of its proper divisors (97110784512).

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

40717727232 is a wasteful number, since it uses less digits than its factorization.

40717727232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9469 (or 9453 counting only the distinct ones).

The product of its (nonzero) digits is 230496, while the sum is 42.

The spelling of 40717727232 in words is "forty billion, seven hundred seventeen million, seven hundred twenty-seven thousand, two hundred thirty-two".