Search a number
-
+
41742624714 = 2371019840317
BaseRepresentation
bin100110111000000011…
…011110011111001010
310222202010010001012120
4212320003132133022
51140442102442324
631102025152110
73005264312220
oct467003363712
9128663101176
1041742624714
111678069485a
12810b62b636
133c2310424b
14203dbcab10
1511449aa179
hex9b80de7ca

41742624714 has 32 divisors (see below), whose sum is σ = 96356393856. Its totient is φ = 11808379200.

The previous prime is 41742624713. The next prime is 41742624719.

It is a happy number.

41742624714 is nontrivially palindromic in base 10.

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

It is not an unprimeable number, because it can be changed into a prime (41742624713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4915917 + ... + 4924400.

It is an arithmetic number, because the mean of its divisors is an integer number (3011137308).

Almost surely, 241742624714 is an apocalyptic number.

41742624714 is an abundant number, since it is smaller than the sum of its proper divisors (54613769142).

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

41742624714 is a wasteful number, since it uses less digits than its factorization.

41742624714 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9840430.

The product of its digits is 301056, while the sum is 42.

The spelling of 41742624714 in words is "forty-one billion, seven hundred forty-two million, six hundred twenty-four thousand, seven hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 101 202 303 606 707 1414 2121 4242 9840317 19680634 29520951 59041902 68882219 137764438 206646657 413293314 993872017 1987744034 2981616051 5963232102 6957104119 13914208238 20871312357 41742624714