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114021704241 = 3417222072
BaseRepresentation
bin110101000110000111…
…0010010001000110001
3101220022100221201110000
41222030032102020301
53332004024013431
6124214132500213
711144364331464
oct1521416221061
9356270851400
10114021704241
11443a1309025
121a12177a669
13a9a177a663
1457393872db
152e752089e6
hex1a8c392231

114021704241 has 45 divisors (see below), whose sum is σ = 181019448379. Its totient is φ = 71510613696.

The previous prime is 114021704233. The next prime is 114021704249. The reversal of 114021704241 is 142407120411.

It is a happy number.

The square root of 114021704241 is 337671.

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

114021704241 is a `hidden beast` number, since 1 + 1 + 402 + 17 + 0 + 4 + 241 = 666.

It is an interprime number because it is at equal distance from previous prime (114021704233) and next prime (114021704249).

It can be written as a sum of positive squares in only one way, i.e., 88771223025 + 25250481216 = 297945^2 + 158904^2 .

It is not a de Polignac number, because 114021704241 - 23 = 114021704233 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (114021704249) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 51662560 + ... + 51664766.

Almost surely, 2114021704241 is an apocalyptic number.

114021704241 is the 337671-st square number.

114021704241 is the 168836-th centered octagonal number.

It is an amenable number.

114021704241 is a deficient number, since it is larger than the sum of its proper divisors (66997744138).

114021704241 is an frugal number, since it uses more digits than its factorization.

114021704241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4460 (or 2227 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

Adding to 114021704241 its reverse (142407120411), we get a palindrome (256428824652).

The spelling of 114021704241 in words is "one hundred fourteen billion, twenty-one million, seven hundred four thousand, two hundred forty-one".

Divisors: 1 3 9 17 27 51 81 153 289 459 867 1377 2207 2601 6621 7803 19863 23409 37519 59589 112557 178767 337671 637823 1013013 1913469 3039039 4870849 5740407 14612547 17221221 43837641 51663663 82804433 131512923 248413299 394538769 745239897 1407675361 2235719691 4223026083 6707159073 12669078249 38007234747 114021704241