Search a number
-
+
6144010392 = 233131719411487
BaseRepresentation
bin1011011100011011…
…00010100010011000
3120212012001001210110
411232031202202120
5100040331313032
62453355244320
7305153140512
oct55615424230
916765031713
106144010392
112673151a43
1212357496a0
1376bb7b610
14423db8bb2
1525e5d27cc
hex16e362898

6144010392 has 256 divisors, whose sum is σ = 18898790400. Its totient is φ = 1643397120.

The previous prime is 6144010363. The next prime is 6144010393. The reversal of 6144010392 is 2930104416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6144010393) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4131073 + ... + 4132559.

It is an arithmetic number, because the mean of its divisors is an integer number (73823400).

Almost surely, 26144010392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6144010392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9449395200).

6144010392 is an abundant number, since it is smaller than the sum of its proper divisors (12754780008).

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

6144010392 is a wasteful number, since it uses less digits than its factorization.

6144010392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1586 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 6144010392 is about 78383.7380583498. The cubic root of 6144010392 is about 1831.5438207124.

The spelling of 6144010392 in words is "six billion, one hundred forty-four million, ten thousand, three hundred ninety-two".