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114162536241 = 331319101169489
BaseRepresentation
bin110101001010010011…
…1100000111100110001
3101220200011221201122000
41222110213200330301
53332301102124431
6124240123204213
711151024355425
oct1522447407461
9356604851560
10114162536241
1144463859206
121a160976669
13a9c49b95c0
14574dd66b85
152e827769e6
hex1a949e0f31

114162536241 has 64 divisors (see below), whose sum is σ = 193625376000. Its totient is φ = 65896934400.

The previous prime is 114162536233. The next prime is 114162536263. The reversal of 114162536241 is 142635261411.

114162536241 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 6 + 25 + 3 + 624 + 1 = 666.

It is not a de Polignac number, because 114162536241 - 23 = 114162536233 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 114162536196 and 114162536205.

It is not an unprimeable number, because it can be changed into a prime (114162536221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 588825 + ... + 758313.

It is an arithmetic number, because the mean of its divisors is an integer number (3025396500).

Almost surely, 2114162536241 is an apocalyptic number.

It is an amenable number.

114162536241 is a deficient number, since it is larger than the sum of its proper divisors (79462839759).

114162536241 is a wasteful number, since it uses less digits than its factorization.

114162536241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169631 (or 169625 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

Adding to 114162536241 its reverse (142635261411), we get a palindrome (256797797652).

The spelling of 114162536241 in words is "one hundred fourteen billion, one hundred sixty-two million, five hundred thirty-six thousand, two hundred forty-one".

Divisors: 1 3 9 13 19 27 39 57 101 117 171 247 303 351 513 741 909 1313 1919 2223 2727 3939 5757 6669 11817 17271 24947 35451 51813 74841 169489 224523 508467 673569 1525401 2203357 3220291 4576203 6610071 9660873 17118389 19830213 28982619 41863783 51355167 59490639 86947857 125591349 154065501 222539057 325249391 376774047 462196503 667617171 975748173 1130322141 2002851513 2927244519 4228242083 6008554539 8781733557 12684726249 38054178747 114162536241