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6140131200 = 2732527219229
BaseRepresentation
bin1011011011111101…
…01111011110000000
3120211220201222112200
411231332233132000
5100033333144300
62453140153200
7305105153100
oct55576573600
916756658480
106140131200
112670a424a5
121234398800
1376b120a38
14423689200
1525e0b8200
hex16dfaf780

6140131200 has 864 divisors, whose sum is σ = 26944983000. Its totient is φ = 1323786240.

The previous prime is 6140131199. The next prime is 6140131201. The reversal of 6140131200 is 21310416.

It is a happy number.

6140131200 is a `hidden beast` number, since 61 + 401 + 3 + 1 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (6140131199) and next prime (6140131201).

It is a super-2 number, since 2×61401312002 = 75402422306426880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6140131201) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 26812686 + ... + 26812914.

Almost surely, 26140131200 is an apocalyptic number.

6140131200 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 6140131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13472491500).

6140131200 is an abundant number, since it is smaller than the sum of its proper divisors (20804851800).

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

6140131200 is a wasteful number, since it uses less digits than its factorization.

6140131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 6140131200 is about 78358.9892737266. The cubic root of 6140131200 is about 1831.1582741664.

Adding to 6140131200 its reverse (21310416), we get a palindrome (6161441616).

The spelling of 6140131200 in words is "six billion, one hundred forty million, one hundred thirty-one thousand, two hundred".