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1427074804241 = 12892689411721
BaseRepresentation
bin10100110001000100010…
…010010110101000010001
312001102112022000100122022
4110301010102112220101
5141340122122213431
63011331125421225
7205050146456252
oct24610422265021
95042468010568
101427074804241
11500245583469
121b06b056a815
13a4759c48bb8
144d0dc360b29
15271c506e07b
hex14c44496a11

1427074804241 has 8 divisors (see below), whose sum is σ = 1428716512200. Its totient is φ = 1425433927680.

The previous prime is 1427074804187. The next prime is 1427074804271. The reversal of 1427074804241 is 1424084707241.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 356553488641 + 1070521315600 = 597121^2 + 1034660^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1427074804241 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1427074804192 and 1427074804201.

It is not an unprimeable number, because it can be changed into a prime (1427074804271) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3260261 + ... + 3671981.

It is an arithmetic number, because the mean of its divisors is an integer number (178589564025).

Almost surely, 21427074804241 is an apocalyptic number.

It is an amenable number.

1427074804241 is a deficient number, since it is larger than the sum of its proper divisors (1641707959).

1427074804241 is a wasteful number, since it uses less digits than its factorization.

1427074804241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415699.

The product of its (nonzero) digits is 401408, while the sum is 44.

The spelling of 1427074804241 in words is "one trillion, four hundred twenty-seven billion, seventy-four million, eight hundred four thousand, two hundred forty-one".

Divisors: 1 1289 2689 411721 3466121 530708369 1107117769 1427074804241