Search a number
-
+
41307985675200 = 2635283103684703
BaseRepresentation
bin10010110010001110000111…
…10100000000001111000000
312102021000010112201210111210
421121013003310000033000
520403242223313101300
6223504343204410120
711462255251614126
oct1131070364001700
9172230115653453
1041307985675200
1112186689020232
1247719209a6940
131a08431c5aaaa
14a2b46247d916
154b97aec5d050
hex2591c3d003c0

41307985675200 has 168 divisors, whose sum is σ = 137157444361728. Its totient is φ = 10882746321920.

The previous prime is 41307985675141. The next prime is 41307985675207. The reversal of 41307985675200 is 257658970314.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41307985675207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51443952 + ... + 52240751.

It is an arithmetic number, because the mean of its divisors is an integer number (816413359296).

It is a 2-persistent number, because it is pandigital, and so is 2⋅41307985675200 = 82615971350400, but 3⋅41307985675200 = 123923957025600 is not.

Almost surely, 241307985675200 is an apocalyptic number.

41307985675200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41307985675200 is an abundant number, since it is smaller than the sum of its proper divisors (95849458686528).

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

41307985675200 is a wasteful number, since it uses less digits than its factorization.

41307985675200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103684811 (or 103684796 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 57.

The spelling of 41307985675200 in words is "forty-one trillion, three hundred seven billion, nine hundred eighty-five million, six hundred seventy-five thousand, two hundred".