Search a number
-
+
2540303555300 = 2252721724143753
BaseRepresentation
bin100100111101110101111…
…001000001101011100100
322222211222010022022021222
4210331311321001223210
5313110020202232200
65222555505155512
7351350042643200
oct44756571015344
98884863268258
102540303555300
1189a378149975
123503b262bb98
1315571b608804
148ad466dbb00
154612c0a9d85
hex24f75e41ae4

2540303555300 has 324 divisors, whose sum is σ = 6978145456044. Its totient is φ = 799716556800.

The previous prime is 2540303555297. The next prime is 2540303555311. The reversal of 2540303555300 is 35553030452.

It can be written as a sum of positive squares in 18 ways, for example, as 1630504255744 + 909799299556 = 1276912^2 + 953834^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 58038224 + ... + 58081976.

Almost surely, 22540303555300 is an apocalyptic number.

2540303555300 is a gapful number since it is divisible by the number (20) 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 2540303555300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3489072728022).

2540303555300 is an abundant number, since it is smaller than the sum of its proper divisors (4437841900744).

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

2540303555300 is a wasteful number, since it uses less digits than its factorization.

2540303555300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43856 (or 43825 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 35.

Adding to 2540303555300 its reverse (35553030452), we get a palindrome (2575856585752).

The spelling of 2540303555300 in words is "two trillion, five hundred forty billion, three hundred three million, five hundred fifty-five thousand, three hundred".