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1328455451441 = 5324073116113
BaseRepresentation
bin10011010101001110000…
…111011000001100110001
311200222222100022011022002
4103111032013120030301
5133231134043421231
62454141202423345
7164656236011246
oct23251607301461
94628870264262
101328455451441
11472438519008
12195569061b55
13983714a0281
14484248155cd
15248521550cb
hex1354e1d8331

1328455451441 has 12 divisors (see below), whose sum is σ = 1354337672268. Its totient is φ = 1303059024384.

The previous prime is 1328455451419. The next prime is 1328455451443. The reversal of 1328455451441 is 1441545548231.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 429691441 + 1328025760000 = 20729^2 + 1152400^2 .

It is not a de Polignac number, because 1328455451441 - 26 = 1328455451377 is a prime.

It is a super-3 number, since 3×13284554514413 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1328455451443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11383001 + ... + 11499113.

It is an arithmetic number, because the mean of its divisors is an integer number (112861472689).

Almost surely, 21328455451441 is an apocalyptic number.

It is an amenable number.

1328455451441 is a deficient number, since it is larger than the sum of its proper divisors (25882220827).

1328455451441 is an equidigital number, since it uses as much as digits as its factorization.

1328455451441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120292 (or 120239 counting only the distinct ones).

The product of its digits is 1536000, while the sum is 47.

The spelling of 1328455451441 in words is "one trillion, three hundred twenty-eight billion, four hundred fifty-five million, four hundred fifty-one thousand, four hundred forty-one".

Divisors: 1 53 2809 4073 116113 215869 6153989 11441057 326161417 472928249 25065197197 1328455451441