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2542423311441 = 321367493321961
BaseRepresentation
bin100100111111110100001…
…111010000010001010001
3100000001102212000002001200
4210333310033100101101
5313123340331431231
65223550111021413
7351453422402226
oct44776417202121
910001385002050
102542423311441
118a0265751052
123508a450a869
13155998822aa0
148b0a804b94d
1546203225be6
hex24ff43d0451

2542423311441 has 24 divisors (see below), whose sum is σ = 3954951587496. Its totient is φ = 1564540151040.

The previous prime is 2542423311413. The next prime is 2542423311457. The reversal of 2542423311441 is 1441133242452.

2542423311441 is a `hidden beast` number, since 2 + 542 + 42 + 3 + 31 + 1 + 4 + 41 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 533389212225 + 2009034099216 = 730335^2 + 1417404^2 .

It is not a de Polignac number, because 2542423311441 - 26 = 2542423311377 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2542423311396 and 2542423311405.

It is not an unprimeable number, because it can be changed into a prime (2542423311341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7735701 + ... + 8057661.

It is an arithmetic number, because the mean of its divisors is an integer number (164789649479).

Almost surely, 22542423311441 is an apocalyptic number.

It is an amenable number.

2542423311441 is a deficient number, since it is larger than the sum of its proper divisors (1412528276055).

2542423311441 is a wasteful number, since it uses less digits than its factorization.

2542423311441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389473 (or 389470 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

Adding to 2542423311441 its reverse (1441133242452), we get a palindrome (3983556553893).

The spelling of 2542423311441 in words is "two trillion, five hundred forty-two billion, four hundred twenty-three million, three hundred eleven thousand, four hundred forty-one".

Divisors: 1 3 9 13 39 117 67493 202479 321961 607437 877409 965883 2632227 2897649 4185493 7896681 12556479 37669437 21730113773 65190341319 195571023957 282491479049 847474437147 2542423311441