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2742040435641 = 313189653370723
BaseRepresentation
bin100111111001101110010…
…110001001101110111001
3100201010200111211122200220
4213321232112021232321
5324411144322420031
65455402002450253
7402051214065243
oct47715626115671
910633614748626
102742040435641
11967990382a71
12383513963989
1316b75b717b20
1496a03345093
154b4d7c6a596
hex27e6e589bb9

2742040435641 has 16 divisors (see below), whose sum is σ = 3937320211776. Its totient is φ = 1687396049856.

The previous prime is 2742040435613. The next prime is 2742040435661. The reversal of 2742040435641 is 1465340402472.

It is a happy number.

It is not a de Polignac number, because 2742040435641 - 25 = 2742040435609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2742040435593 and 2742040435602.

It is not an unprimeable number, because it can be changed into a prime (2742040435661) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7211106 + ... + 7581828.

It is an arithmetic number, because the mean of its divisors is an integer number (246082513236).

Almost surely, 22742040435641 is an apocalyptic number.

It is an amenable number.

2742040435641 is a deficient number, since it is larger than the sum of its proper divisors (1195279776135).

2742040435641 is a wasteful number, since it uses less digits than its factorization.

2742040435641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560392.

The product of its (nonzero) digits is 645120, while the sum is 42.

The spelling of 2742040435641 in words is "two trillion, seven hundred forty-two billion, forty million, four hundred thirty-five thousand, six hundred forty-one".

Divisors: 1 3 13 39 189653 370723 568959 1112169 2465489 4819399 7396467 14458197 70308729119 210926187357 914013478547 2742040435641