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6081143040 = 283657319
BaseRepresentation
bin1011010100111011…
…01110000100000000
3120200210202002000000
411222131232010000
544423233034130
62443232000000
7303460602000
oct55235560400
916623662000
106081143040
112640712855
121218690000
1375bb394bb
144198d2000
15258d15260
hex16a76e100

6081143040 has 1008 divisors, whose sum is σ = 26809104000. Its totient is φ = 1316818944.

The previous prime is 6081143011. The next prime is 6081143051. The reversal of 6081143040 is 403411806.

6081143040 is a `hidden beast` number, since 608 + 1 + 14 + 3 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 6081142995 and 6081143013.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 320060151 + ... + 320060169.

Almost surely, 26081143040 is an apocalyptic number.

6081143040 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 6081143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13404552000).

6081143040 is an abundant number, since it is smaller than the sum of its proper divisors (20727960960).

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

6081143040 is an frugal number, since it uses more digits than its factorization.

6081143040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 6081143040 is about 77981.6840033607. The cubic root of 6081143040 is about 1825.2754237473.

Adding to 6081143040 its reverse (403411806), we get a palindrome (6484554846).

The spelling of 6081143040 in words is "six billion, eighty-one million, one hundred forty-three thousand, forty".