Search a number
-
+
41040920358720 = 263452775716133
BaseRepresentation
bin10010101010011100101010…
…11110101010111101000000
312101022110210022020001010000
421111032111132222331000
520334403301102434340
6223141534420040000
711434052160104112
oct1125162536527500
9171273708201100
1041040920358720
11120933a1676147
12472a009233000
1319b91b04b99c9
14a1c5694293b2
154b287db68d30
hex2553957aaf40

41040920358720 has 280 divisors, whose sum is σ = 146516838404904. Its totient is φ = 10904733609984.

The previous prime is 41040920358707. The next prime is 41040920358731. The reversal of 41040920358720 is 2785302904014.

41040920358720 is a `hidden beast` number, since 4 + 1 + 0 + 40 + 9 + 2 + 0 + 3 + 587 + 20 = 666.

41040920358720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 150829703424 + 40890090655296 = 388368^2 + 6394536^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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 39 ways as a sum of consecutive naturals, for example, 4321774 + ... + 10037906.

Almost surely, 241040920358720 is an apocalyptic number.

41040920358720 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 41040920358720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73258419202452).

41040920358720 is an abundant number, since it is smaller than the sum of its proper divisors (105475918046184).

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

41040920358720 is a wasteful number, since it uses less digits than its factorization.

41040920358720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5716439 (or 5716420 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 41040920358720 in words is "forty-one trillion, forty billion, nine hundred twenty million, three hundred fifty-eight thousand, seven hundred twenty".