Search a number
-
+
2741446087281 = 321131893270149
BaseRepresentation
bin100111111001001010111…
…010111001001001110001
3100201002011002110122000200
4213321022322321021301
5324403440144243111
65455223011505413
7402030406155216
oct47711272711161
910632132418020
102741446087281
11967705935280
123833888b8269
1316b69554a7c5
149698842db0d
154b4a09b7256
hex27e4aeb9271

2741446087281 has 24 divisors (see below), whose sum is σ = 4459204588800. Its totient is φ = 1607886266400.

The previous prime is 2741446087229. The next prime is 2741446087283. The reversal of 2741446087281 is 1827806441472.

It is a happy number.

2741446087281 is a `hidden beast` number, since 2 + 7 + 4 + 1 + 4 + 4 + 608 + 7 + 28 + 1 = 666.

It is not a de Polignac number, because 2741446087281 - 218 = 2741445825137 is a prime.

It is a super-3 number, since 3×27414460872813 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (2741446087283) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 446632006 + ... + 446638143.

It is an arithmetic number, because the mean of its divisors is an integer number (185800191200).

Almost surely, 22741446087281 is an apocalyptic number.

It is an amenable number.

2741446087281 is a deficient number, since it is larger than the sum of its proper divisors (1717758501519).

2741446087281 is a wasteful number, since it uses less digits than its factorization.

2741446087281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893270197 (or 893270194 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The spelling of 2741446087281 in words is "two trillion, seven hundred forty-one billion, four hundred forty-six million, eighty-seven thousand, two hundred eighty-one".

Divisors: 1 3 9 11 31 33 93 99 279 341 1023 3069 893270149 2679810447 8039431341 9825971639 27691374619 29477914917 83074123857 88433744751 249222371571 304605120809 913815362427 2741446087281