Search a number
-
+
114744006565 = 5172157505781
BaseRepresentation
bin110101011011101000…
…1101001011110100101
3101222011201002110221221
41222313101221132211
53334443431202230
6124413534140341
711201314651246
oct1526721513645
9358151073857
10114744006565
11447320004a1
121a2a36516b1
13aa882c8096
1457a7288ccd
152eb883427a
hex1ab74697a5

114744006565 has 24 divisors (see below), whose sum is σ = 147200770152. Its totient is φ = 85845027840.

The previous prime is 114744006563. The next prime is 114744006593. The reversal of 114744006565 is 565600447411.

It can be written as a sum of positive squares in 12 ways, for example, as 414814689 + 114329191876 = 20367^2 + 338126^2 .

It is not a de Polignac number, because 114744006565 - 21 = 114744006563 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114744006563) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26026 + ... + 479755.

It is an arithmetic number, because the mean of its divisors is an integer number (6133365423).

Almost surely, 2114744006565 is an apocalyptic number.

It is an amenable number.

114744006565 is a deficient number, since it is larger than the sum of its proper divisors (32456763587).

114744006565 is a wasteful number, since it uses less digits than its factorization.

114744006565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505977 (or 505960 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 43.

The spelling of 114744006565 in words is "one hundred fourteen billion, seven hundred forty-four million, six thousand, five hundred sixty-five".

Divisors: 1 5 17 85 157 289 785 1445 2669 13345 45373 226865 505781 2528905 8598277 42991385 79407617 146170709 397038085 730853545 1349929489 6749647445 22948801313 114744006565