Search a number
-
+
114240029643 = 3329222432
BaseRepresentation
bin110101001100100111…
…1001000001111001011
3101220212120202210121000
41222121033020033023
53332430421422033
6124251532150043
711152655141625
oct1523117101713
9356776683530
10114240029643
11444a3578143
121a182908323
13aa07a7ca9c
14575a379c15
152e89482a13
hex1a993c83cb

114240029643 has 36 divisors (see below), whose sum is σ = 175359928120. Its totient is φ = 73501028496.

The previous prime is 114240029639. The next prime is 114240029647. The reversal of 114240029643 is 346920042411.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

114240029643 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 4 + 0 + 0 + 2 + 9 + 643 = 666.

It is an interprime number because it is at equal distance from previous prime (114240029639) and next prime (114240029647).

It is not a de Polignac number, because 114240029643 - 22 = 114240029639 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 114240029598 and 114240029607.

It is not an unprimeable number, because it can be changed into a prime (114240029647) 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 35 ways as a sum of consecutive naturals, for example, 50930680 + ... + 50932922.

Almost surely, 2114240029643 is an apocalyptic number.

114240029643 is a deficient number, since it is larger than the sum of its proper divisors (61119898477).

114240029643 is an frugal number, since it uses more digits than its factorization.

114240029643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4553 (or 2275 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 114240029643 in words is "one hundred fourteen billion, two hundred forty million, twenty-nine thousand, six hundred forty-three".

Divisors: 1 3 9 27 29 87 261 783 841 2243 2523 6729 7569 20187 22707 60561 65047 195141 585423 1756269 1886363 5031049 5659089 15093147 16977267 45279441 50931801 135838323 145900421 437701263 1313103789 3939311367 4231112209 12693336627 38080009881 114240029643