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13401998289 = 341926772
BaseRepresentation
bin11000111101101001…
…00100001111010001
31021121000020001110000
430132310210033101
5204421402421124
610053511200213
7653054051211
oct143664441721
937530201400
1013401998289
115758095749
122720376069
131357762a04
14911cd0241
155368ac6c9
hex31ed243d1

13401998289 has 45 divisors (see below), whose sum is σ = 21160681707. Its totient is φ = 8451917136.

The previous prime is 13401998261. The next prime is 13401998303. The reversal of 13401998289 is 98289910431.

The square root of 13401998289 is 115767.

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

13401998289 is a `hidden beast` number, since 1 + 340 + 19 + 9 + 8 + 289 = 666.

13401998289 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 13322930625 + 79067664 = 115425^2 + 8892^2 .

It is a de Polignac number, because none of the positive numbers 2k-13401998289 is a prime.

It is a super-2 number, since 2×134019982892 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13401990289) 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 44 ways as a sum of consecutive naturals, for example, 19795819 + ... + 19796495.

Almost surely, 213401998289 is an apocalyptic number.

13401998289 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

13401998289 is the 115767-th square number.

13401998289 is the 57884-th centered octagonal number.

It is an amenable number.

13401998289 is a deficient number, since it is larger than the sum of its proper divisors (7758683418).

13401998289 is an frugal number, since it uses more digits than its factorization.

13401998289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1404 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 13401998289 in words is "thirteen billion, four hundred one million, nine hundred ninety-eight thousand, two hundred eighty-nine".

Divisors: 1 3 9 19 27 57 81 171 361 513 677 1083 1539 2031 3249 6093 9747 12863 18279 29241 38589 54837 115767 244397 347301 458329 733191 1041903 1374987 2199573 4124961 6598719 8708251 12374883 19796157 26124753 37124649 78374259 165456769 235122777 496370307 705368331 1489110921 4467332763 13401998289