Search a number
-
+
2742461440425 = 325272412147977
BaseRepresentation
bin100111111010000111011…
…100001010000110101001
3100201011202212000220200200
4213322013130022012221
5324413030112043200
65455511442222413
7402064515422400
oct47720734120651
910634685026620
102742461440425
11968086a95103
12383610954a09
1316b7c7a01c95
1496a43216637
154b50ebcc800
hex27e8770a1a9

2742461440425 has 162 divisors, whose sum is σ = 5856826145274. Its totient is φ = 1223110425600.

The previous prime is 2742461440421. The next prime is 2742461440463. The reversal of 2742461440425 is 5240441642472.

It is a happy number.

2742461440425 is a `hidden beast` number, since 2 + 7 + 4 + 2 + 4 + 614 + 4 + 0 + 4 + 25 = 666.

2742461440425 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 9 ways, for example, as 2454169763241 + 288291677184 = 1566579^2 + 536928^2 .

It is not a de Polignac number, because 2742461440425 - 22 = 2742461440421 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2742461440421) by changing a digit.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 18459037 + ... + 18607013.

Almost surely, 22742461440425 is an apocalyptic number.

2742461440425 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2742461440425 is an abundant number, since it is smaller than the sum of its proper divisors (3114364704849).

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

2742461440425 is a wasteful number, since it uses less digits than its factorization.

2742461440425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148089 (or 148033 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 45.

The spelling of 2742461440425 in words is "two trillion, seven hundred forty-two billion, four hundred sixty-one million, four hundred forty thousand, four hundred twenty-five".