Search a number
-
+
40727999840000 = 28541122103719
BaseRepresentation
bin10010100001010101110011…
…11101100111111100000000
312100012120002100001122201112
421100222321331213330000
520314241420424340000
6222342103531222452
711402333542426604
oct1120527175477400
9170176070048645
1040727999840000
1111a82714150a00
1246994388a7a28
1319958318c7665
14a0b36232b504
154a9667008235
hex250ab9f67f00

40727999840000 has 270 divisors, whose sum is σ = 111663570563160. Its totient is φ = 14810174720000.

The previous prime is 40727999839979. The next prime is 40727999840027. The reversal of 40727999840000 is 4899972704.

40727999840000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 18308141 + ... + 20411859.

Almost surely, 240727999840000 is an apocalyptic number.

40727999840000 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 40727999840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55831785281580).

40727999840000 is an abundant number, since it is smaller than the sum of its proper divisors (70935570723160).

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

40727999840000 is an equidigital number, since it uses as much as digits as its factorization.

40727999840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2103777 (or 2103737 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 59.

The spelling of 40727999840000 in words is "forty trillion, seven hundred twenty-seven billion, nine hundred ninety-nine million, eight hundred forty thousand".