Search a number
-
+
330095461249 = 13944912594201
BaseRepresentation
bin1001100110110110011…
…10010000001110000001
31011120000220211212100001
410303123032100032001
520402013414224444
6411351015200001
732564034061021
oct4633316201601
91146026755301
10330095461249
11117aa1311824
1253b84376001
1325187c08648
1411d96119a81
1588be8928d4
hex4cdb390381

330095461249 has 16 divisors (see below), whose sum is σ = 333554760000. Its totient is φ = 326653286400.

The previous prime is 330095461247. The next prime is 330095461331. The reversal of 330095461249 is 942164590033.

It is a cyclic number.

It is not a de Polignac number, because 330095461249 - 21 = 330095461247 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 330095461199 and 330095461208.

It is not an unprimeable number, because it can be changed into a prime (330095461247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78573349 + ... + 78577549.

It is an arithmetic number, because the mean of its divisors is an integer number (20847172500).

Almost surely, 2330095461249 is an apocalyptic number.

It is an amenable number.

330095461249 is a deficient number, since it is larger than the sum of its proper divisors (3459298751).

330095461249 is a wasteful number, since it uses less digits than its factorization.

330095461249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6048.

The product of its (nonzero) digits is 699840, while the sum is 46.

The spelling of 330095461249 in words is "three hundred thirty billion, ninety-five million, four hundred sixty-one thousand, two hundred forty-nine".

Divisors: 1 139 449 1259 4201 62411 175001 565291 583939 1886249 5289059 78575449 262188611 735179201 2374787491 330095461249