Search a number
-
+
4258003361049 = 34113220292
BaseRepresentation
bin111101111101100100110…
…001110001110100011001
3120002001122120112102110000
4331331210301301310121
51024230342330023144
613020033313243213
7616426202252034
oct75754461616431
916061576472400
104258003361049
1113a1899989499
12589290863509
1324b6b3006509
1410a134a5201b
1575b61735769
hex3df64c71d19

4258003361049 has 45 divisors (see below), whose sum is σ = 6420673226253. Its totient is φ = 2812161276288.

The previous prime is 4258003360993. The next prime is 4258003361089. The reversal of 4258003361049 is 9401633008524.

The square root of 4258003361049 is 2063493.

It is a perfect power (a square), and thus also a powerful number.

4258003361049 is a `hidden beast` number, since 4 + 2 + 580 + 0 + 3 + 3 + 61 + 0 + 4 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8353046025 + 4249650315024 = 91395^2 + 2061468^2 .

It is not a de Polignac number, because 4258003361049 - 221 = 4258001263897 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4258003360995 and 4258003361013.

It is not an unprimeable number, because it can be changed into a prime (4258003361089) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2098571367 + ... + 2098573395.

Almost surely, 24258003361049 is an apocalyptic number.

4258003361049 is the 2063493-rd square number.

4258003361049 is the 1031747-th centered octagonal number.

It is an amenable number.

4258003361049 is a deficient number, since it is larger than the sum of its proper divisors (2162669865204).

4258003361049 is an frugal number, since it uses more digits than its factorization.

4258003361049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4296 (or 2145 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 4258003361049 in words is "four trillion, two hundred fifty-eight billion, three million, three hundred sixty-one thousand, forty-nine".

Divisors: 1 3 9 27 81 113 339 1017 2029 3051 6087 9153 12769 18261 38307 54783 114921 164349 229277 344763 687831 1034289 2063493 4116841 6190479 12350523 18571437 25908301 37051569 77724903 111154707 233174709 333464121 465203033 699524127 1395609099 2098572381 4186827297 12560481891 37681445673 52567942729 157703828187 473111484561 1419334453683 4258003361049