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114508468881 = 368321512
BaseRepresentation
bin110101010100100111…
…1001001001010010001
3101221120021212221000000
41222221033021022101
53334003132001011
6124334321520213
711162424632412
oct1525117111221
9357507787000
10114508468881
1144621055554
121a2387a3069
13aa4b57a381
145783c95809
152ea2d0a356
hex1aa93c9291

114508468881 has 63 divisors (see below), whose sum is σ = 174936037017. Its totient is φ = 74919767400.

The previous prime is 114508468873. The next prime is 114508468889. The reversal of 114508468881 is 188864805411.

The square root of 114508468881 is 338391.

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

114508468881 is a `hidden beast` number, since 1 + 14 + 508 + 46 + 8 + 8 + 81 = 666.

It is an interprime number because it is at equal distance from previous prime (114508468873) and next prime (114508468889).

It is not a de Polignac number, because 114508468881 - 23 = 114508468873 is a prime.

It is a super-2 number, since 2×1145084688812 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (114508468889) 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 62 ways as a sum of consecutive naturals, for example, 758334156 + ... + 758334306.

Almost surely, 2114508468881 is an apocalyptic number.

114508468881 is the 338391-st square number.

114508468881 is the 169196-th centered octagonal number.

It is an amenable number.

114508468881 is a deficient number, since it is larger than the sum of its proper divisors (60427568136).

114508468881 is an frugal number, since it uses more digits than its factorization.

114508468881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 1966080, while the sum is 54.

The spelling of 114508468881 in words is "one hundred fourteen billion, five hundred eight million, four hundred sixty-eight thousand, eight hundred eighty-one".

Divisors: 1 3 9 27 81 83 151 243 249 453 729 747 1359 2241 4077 6723 6889 12231 12533 20169 20667 22801 36693 37599 60507 62001 68403 110079 112797 186003 205209 338391 558009 615627 1015173 1040239 1674027 1846881 1892483 3045519 3120717 5022081 5540643 5677449 9136557 9362151 16621929 17032347 28086453 51097041 84259359 153291123 157076089 252778077 459873369 471228267 758334231 1379620107 1413684801 4241054403 12723163209 38169489627 114508468881