Search a number
-
+
4346228427121 = 72172175192
BaseRepresentation
bin111111001111101111011…
…001101100100101110001
3120101111101010120010221201
4333033233121230211301
51032202033434131441
613124344010451201
7626001410040100
oct77175731544561
916344333503851
104346228427121
111426252706439
125a23b3133b01
13256b031a3a19
14110503d20037
15780c6d5ac31
hex3f3ef66c971

4346228427121 has 27 divisors (see below), whose sum is σ = 5371018484619. Its totient is φ = 3506000947008.

The previous prime is 4346228427109. The next prime is 4346228427161. The reversal of 4346228427121 is 1217248226434.

The square root of 4346228427121 is 2084761.

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

It can be written as a sum of positive squares in only one way, i.e., 3383741855025 + 962486572096 = 1839495^2 + 981064^2 .

It is not a de Polignac number, because 4346228427121 - 213 = 4346228418929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4346228427161) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 248077800 + ... + 248095318.

Almost surely, 24346228427121 is an apocalyptic number.

4346228427121 is the 2084761-st square number.

4346228427121 is the 1042381-st centered octagonal number.

It is an amenable number.

4346228427121 is a deficient number, since it is larger than the sum of its proper divisors (1024790057498).

4346228427121 is an frugal number, since it uses more digits than its factorization.

4346228427121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35086 (or 17543 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 46.

The spelling of 4346228427121 in words is "four trillion, three hundred forty-six billion, two hundred twenty-eight million, four hundred twenty-seven thousand, one hundred twenty-one".

Divisors: 1 7 17 49 119 289 833 2023 14161 17519 122633 297823 858431 2084761 5062991 14593327 35440937 248086559 306915361 2148407527 5217561137 15038852689 36522927959 88698539329 255660495713 620889775303 4346228427121