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6141065040 = 24325111722683
BaseRepresentation
bin1011011100000100…
…10011011101010000
3120211222111102112100
411232002103131100
5100034103040130
62453212200400
7305116122465
oct55602233520
916758442470
106141065040
112671520070
121234769100
1376b389ac6
1442384d66c
1525e1eec60
hex16e093750

6141065040 has 360 divisors, whose sum is σ = 23908835808. Its totient is φ = 1400647680.

The previous prime is 6141065039. The next prime is 6141065041. The reversal of 6141065040 is 405601416.

6141065040 is a `hidden beast` number, since 6 + 1 + 4 + 1 + 0 + 650 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6141065039) and next prime (6141065041).

It is a tau number, because it is divible by the number of its divisors (360).

It is a junction number, because it is equal to n+sod(n) for n = 6141064995 and 6141065013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6141065041) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2287539 + ... + 2290221.

Almost surely, 26141065040 is an apocalyptic number.

6141065040 is a gapful number since it is divisible by the number (60) 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 6141065040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11954417904).

6141065040 is an abundant number, since it is smaller than the sum of its proper divisors (17767770768).

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

6141065040 is a wasteful number, since it uses less digits than its factorization.

6141065040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2747 (or 2721 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 6141065040 is about 78364.9477764134. The cubic root of 6141065040 is about 1831.2511018332.

Adding to 6141065040 its reverse (405601416), we get a palindrome (6546666456).

The spelling of 6141065040 in words is "six billion, one hundred forty-one million, sixty-five thousand, forty".