Search a number
-
+
40332400101 = 3271496416703
BaseRepresentation
bin100101100011111111…
…111001010111100101
310212002211112012201100
4211203333321113211
51130100043300401
630310051150313
72625321513210
oct454377712745
9125084465640
1040332400101
1116117652174
1279972a5399
133a59bb5906
141d487b6777
1510b0c95b86
hex963ff95e5

40332400101 has 48 divisors (see below), whose sum is σ = 67141900800. Its totient is φ = 22853283840.

The previous prime is 40332400067. The next prime is 40332400117. The reversal of 40332400101 is 10100423304.

It is not a de Polignac number, because 40332400101 - 213 = 40332391909 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40332400181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6013716 + ... + 6020418.

It is an arithmetic number, because the mean of its divisors is an integer number (1398789600).

Almost surely, 240332400101 is an apocalyptic number.

It is an amenable number.

40332400101 is a deficient number, since it is larger than the sum of its proper divisors (26809500699).

40332400101 is a wasteful number, since it uses less digits than its factorization.

40332400101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7506 (or 7503 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 40332400101 its reverse (10100423304), we get a palindrome (50432823405).

The spelling of 40332400101 in words is "forty billion, three hundred thirty-two million, four hundred thousand, one hundred one".

Divisors: 1 3 7 9 21 63 149 447 641 1043 1341 1923 3129 4487 5769 6703 9387 13461 20109 40383 46921 60327 95509 140763 286527 422289 668563 859581 998747 2005689 2996241 4296623 6017067 6991229 8988723 12889869 20973687 30076361 38669607 62921061 90229083 270687249 640196827 1920590481 4481377789 5761771443 13444133367 40332400101