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448230371329 = 13297316286849
BaseRepresentation
bin1101000010111001001…
…11001011000000000001
31120211221221112002110001
412201130213023000001
524320433433340304
6541525244240001
744245365202336
oct6413447130001
91524857462401
10448230371329
111631033a5214
1272a53540001
1333363892cc0
14179a188498d
15b9d5c33da4
hex685c9cb001

448230371329 has 16 divisors (see below), whose sum is σ = 506195298000. Its totient is φ = 394011426816.

The previous prime is 448230371263. The next prime is 448230371339. The reversal of 448230371329 is 923173032844.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 370947600 + 447859423729 = 19260^2 + 669223^2 .

It is a cyclic number.

It is not a de Polignac number, because 448230371329 - 219 = 448229847041 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (448230371339) 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, 8115904 + ... + 8170945.

It is an arithmetic number, because the mean of its divisors is an integer number (31637206125).

Almost surely, 2448230371329 is an apocalyptic number.

It is an amenable number.

448230371329 is a deficient number, since it is larger than the sum of its proper divisors (57964926671).

448230371329 is a wasteful number, since it uses less digits than its factorization.

448230371329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16286964.

The product of its (nonzero) digits is 870912, while the sum is 46.

The spelling of 448230371329 in words is "four hundred forty-eight billion, two hundred thirty million, three hundred seventy-one thousand, three hundred twenty-nine".

Divisors: 1 13 29 73 377 949 2117 27521 16286849 211729037 472318621 1188939977 6140142073 15456219701 34479259333 448230371329