Search a number
-
+
41131340302320 = 243457386951083
BaseRepresentation
bin10010101101000101000101…
…11011011000011111110000
312101122010011211022002120000
421112202202323120133300
520342343441104133240
6223251251001150000
711443432645665042
oct1126424273303760
9171563154262500
1041131340302320
1112118781344064
12474364278b300
1319c4890314108
14a22aa5ddda92
154b4dc1ce8430
hex2568a2ed87f0

41131340302320 has 200 divisors, whose sum is σ = 144812161141296. Its totient is φ = 10818105818112.

The previous prime is 41131340302219. The next prime is 41131340302361. The reversal of 41131340302320 is 2320304313114.

It is a happy number.

41131340302320 is a `hidden beast` number, since 4 + 1 + 1 + 3 + 1 + 34 + 0 + 302 + 320 = 666.

41131340302320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×411313403023203 (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 43002502 + ... + 43948581.

Almost surely, 241131340302320 is an apocalyptic number.

41131340302320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41131340302320 is an abundant number, since it is smaller than the sum of its proper divisors (103680820838976).

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

41131340302320 is a wasteful number, since it uses less digits than its factorization.

41131340302320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86951181 (or 86951166 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 41131340302320 its reverse (2320304313114), we get a palindrome (43451644615434).

The spelling of 41131340302320 in words is "forty-one trillion, one hundred thirty-one billion, three hundred forty million, three hundred two thousand, three hundred twenty".