Search a number
-
+
41518920000 = 263543111161
BaseRepresentation
bin100110101010101110…
…000111000101000000
310222011112011200000210
4212222232013011000
51140012320420000
631023514314120
72666606665665
oct465256070500
9128145150023
1041518920000
1116676391128
128068728940
133bb896a4ac
14201c1d7a6c
15113001c350
hex9aab87140

41518920000 has 280 divisors, whose sum is σ = 141712037632. Its totient is φ = 10713600000.

The previous prime is 41518919977. The next prime is 41518920043. The reversal of 41518920000 is 2981514.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 41518920000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3714420 + ... + 3725580.

Almost surely, 241518920000 is an apocalyptic number.

41518920000 is a gapful number since it is divisible by the number (40) 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 41518920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70856018816).

41518920000 is an abundant number, since it is smaller than the sum of its proper divisors (100193117632).

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

41518920000 is a wasteful number, since it uses less digits than its factorization.

41518920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11227 (or 11202 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The spelling of 41518920000 in words is "forty-one billion, five hundred eighteen million, nine hundred twenty thousand".