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13942539428841 = 32193264492
BaseRepresentation
bin1100101011100100000000…
…0111000010001111101001
31211100220010112201111111100
43022321000013002033221
53311413310043210331
645353040355352013
72636213060510352
oct312710007021751
954326115644440
1013942539428841
114495aa8032051
1216921a82b2609
137a1a1164ca9a
14362b72d70d29
15192a265b3ae6
hexcae401c23e9

13942539428841 has 27 divisors (see below), whose sum is σ = 20247252188709. Its totient is φ = 9245431683072.

The previous prime is 13942539428819. The next prime is 13942539428869. The reversal of 13942539428841 is 14882493524931.

It is a happy number.

The square root of 13942539428841 is 3733971.

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

13942539428841 is a `hidden beast` number, since 1 + 3 + 9 + 425 + 3 + 94 + 2 + 88 + 41 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1551407258025 + 12391132170816 = 1245555^2 + 3520104^2 .

It is not a de Polignac number, because 13942539428841 - 227 = 13942405211113 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13942539420841) 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 26 ways as a sum of consecutive naturals, for example, 2161965985 + ... + 2161972433.

Almost surely, 213942539428841 is an apocalyptic number.

13942539428841 is the 3733971-st square number.

13942539428841 is the 1866986-th centered octagonal number.

It is an amenable number.

13942539428841 is a deficient number, since it is larger than the sum of its proper divisors (6304712759868).

13942539428841 is an frugal number, since it uses more digits than its factorization.

13942539428841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13290 (or 6645 counting only the distinct ones).

The product of its digits is 59719680, while the sum is 63.

The spelling of 13942539428841 in words is "thirteen trillion, nine hundred forty-two billion, five hundred thirty-nine million, four hundred twenty-eight thousand, eight hundred forty-one".

Divisors: 1 3 9 193 579 1737 6449 19347 37249 58041 111747 335241 1244657 3733971 11201913 41589601 124768803 240218801 374306409 720656403 2161969209 8026792993 24080378979 72241136937 1549171047649 4647513142947 13942539428841