Search a number
-
+
2540045515230 = 2325377437511367
BaseRepresentation
bin100100111101100110100…
…000101011100111011110
322222211022010202111212100
4210331212200223213132
5313104003122441410
65222514130345530
7351340460433606
oct44754640534736
98884263674770
102540045515230
1189a255524613
1235034012b2a6
131556aa00c692
148ad2032bc06
15461145d88c0
hex24f6682b9de

2540045515230 has 192 divisors, whose sum is σ = 6805755260928. Its totient is φ = 656794656000.

The previous prime is 2540045515219. The next prime is 2540045515253. The reversal of 2540045515230 is 325155400452.

2540045515230 is a `hidden beast` number, since 2 + 5 + 40 + 0 + 45 + 51 + 523 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 1858116007 + ... + 1858117373.

It is an arithmetic number, because the mean of its divisors is an integer number (35446641984).

Almost surely, 22540045515230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2540045515230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3402877630464).

2540045515230 is an abundant number, since it is smaller than the sum of its proper divisors (4265709745698).

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

2540045515230 is a wasteful number, since it uses less digits than its factorization.

2540045515230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2911 (or 2908 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

The spelling of 2540045515230 in words is "two trillion, five hundred forty billion, forty-five million, five hundred fifteen thousand, two hundred thirty".