Search a number
-
+
114132041020 = 2257972235469
BaseRepresentation
bin110101001001011001…
…1001011110100111100
3101220121001120102001101
41222102303023310330
53332220300303040
6124233113422444
711150204225164
oct1522263136474
9356531512041
10114132041020
114444861a748
121a15270aa24
13a9bb5a00aa
145749ca95a4
152e7ec5109a
hex1a92ccbd3c

114132041020 has 24 divisors (see below), whose sum is σ = 242711179200. Its totient is φ = 45074932032.

The previous prime is 114132041003. The next prime is 114132041021. The reversal of 114132041020 is 20140231411.

It is a super-2 number, since 2×1141320410202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114132041021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36116155 + ... + 36119314.

It is an arithmetic number, because the mean of its divisors is an integer number (10112965800).

Almost surely, 2114132041020 is an apocalyptic number.

114132041020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114132041020 is an abundant number, since it is smaller than the sum of its proper divisors (128579138180).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

114132041020 is a wasteful number, since it uses less digits than its factorization.

114132041020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72235557 (or 72235555 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 114132041020 its reverse (20140231411), we get a palindrome (134272272431).

The spelling of 114132041020 in words is "one hundred fourteen billion, one hundred thirty-two million, forty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 79 158 316 395 790 1580 72235469 144470938 288941876 361177345 722354690 1444709380 5706602051 11413204102 22826408204 28533010255 57066020510 114132041020