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1440780870441 = 3112106914332591
BaseRepresentation
bin10100111101110101001…
…110110110001100101001
312002201220111101122211210
4110331311032312030221
5142101204400323231
63021515142143333
7206043615222033
oct24756516661451
95081814348753
101440780870441
11506039270900
121b3296721b49
13a5b326a2143
144da3c7a2c53
1527728490a46
hex14f753b6329

1440780870441 has 48 divisors (see below), whose sum is σ = 2115824094720. Its totient is φ = 871438444800.

The previous prime is 1440780870421. The next prime is 1440780870457.

1440780870441 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1440780870441 - 213 = 1440780862249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1440780870421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 556070056 + ... + 556072646.

It is an arithmetic number, because the mean of its divisors is an integer number (44079668640).

Almost surely, 21440780870441 is an apocalyptic number.

1440780870441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1440780870441 is a deficient number, since it is larger than the sum of its proper divisors (675043224279).

1440780870441 is a wasteful number, since it uses less digits than its factorization.

1440780870441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5118 (or 5107 counting only the distinct ones).

The product of its (nonzero) digits is 802816, while the sum is 48.

The spelling of 1440780870441 in words is "one trillion, four hundred forty billion, seven hundred eighty million, eight hundred seventy thousand, four hundred forty-one".

Divisors: 1 3 11 33 121 363 1069 1433 2591 3207 4299 7773 11759 15763 28501 35277 47289 85503 129349 173393 313511 388047 520179 940533 1531877 2769779 3712903 4595631 8309337 11138709 16850647 30467569 40841933 50551941 91402707 122525799 185357117 335143259 449261263 556071351 1005429777 1347783789 3969093307 11907279921 43660026377 130980079131 480260290147 1440780870441