Search a number
-
+
114000560541 = 337603177569
BaseRepresentation
bin110101000101011110…
…1101000000110011101
3101220020220011111202000
41222022331220012131
53331433120414131
6124212055352513
711144016530160
oct1521275500635
9356226144660
10114000560541
114439038749a
121a116682739
13a99a2867aa
145736641ad7
152e7342dce6
hex1a8af6819d

114000560541 has 16 divisors (see below), whose sum is σ = 193016822400. Its totient is φ = 65143177344.

The previous prime is 114000560539. The next prime is 114000560603. The reversal of 114000560541 is 145065000411.

114000560541 is a `hidden beast` number, since 1 + 14 + 0 + 0 + 0 + 5 + 605 + 41 = 666.

It is not a de Polignac number, because 114000560541 - 21 = 114000560539 is a prime.

It is a super-2 number, since 2×1140005605412 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114000560941) 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 15 ways as a sum of consecutive naturals, for example, 301588596 + ... + 301588973.

It is an arithmetic number, because the mean of its divisors is an integer number (12063551400).

Almost surely, 2114000560541 is an apocalyptic number.

It is an amenable number.

114000560541 is a deficient number, since it is larger than the sum of its proper divisors (79016261859).

114000560541 is an equidigital number, since it uses as much as digits as its factorization.

114000560541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603177585 (or 603177579 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 114000560541 its reverse (145065000411), we get a palindrome (259065560952).

It can be divided in two parts, 114000 and 560541, that added together give a triangular number (674541 = T1161).

The spelling of 114000560541 in words is "one hundred fourteen billion, five hundred sixty thousand, five hundred forty-one".

Divisors: 1 3 7 9 21 27 63 189 603177569 1809532707 4222242983 5428598121 12666728949 16285794363 38000186847 114000560541