Search a number
-
+
114733341138 = 231319257301237
BaseRepresentation
bin110101011011010100…
…0111101100111010010
3101222010222000121202010
41222312220331213102
53334433213404023
6124412513403350
711201125210563
oct1526650754722
9358128017663
10114733341138
1144726a86399
121a29bb69556
13aa86032690
1457a5ab016a
152eb7929093
hex1ab6a3d9d2

114733341138 has 64 divisors (see below), whose sum is σ = 261137197440. Its totient is φ = 33314291712.

The previous prime is 114733341137. The next prime is 114733341179. The reversal of 114733341138 is 831143337411.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 114733341096 and 114733341105.

It is not an unprimeable number, because it can be changed into a prime (114733341137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 230256 + ... + 531492.

It is an arithmetic number, because the mean of its divisors is an integer number (4080268710).

Almost surely, 2114733341138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114733341138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130568598720).

114733341138 is an abundant number, since it is smaller than the sum of its proper divisors (146403856302).

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

114733341138 is a wasteful number, since it uses less digits than its factorization.

114733341138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301531.

The product of its digits is 72576, while the sum is 39.

Adding to 114733341138 its reverse (831143337411), we get a palindrome (945876678549).

The spelling of 114733341138 in words is "one hundred fourteen billion, seven hundred thirty-three million, three hundred forty-one thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 114 247 257 494 514 741 771 1482 1542 3341 4883 6682 9766 10023 14649 20046 29298 63479 126958 190437 301237 380874 602474 903711 1807422 3916081 5723503 7832162 11447006 11748243 17170509 23496486 34341018 74405539 77417909 148811078 154835818 223216617 232253727 446433234 464507454 1006432817 1470940271 2012865634 2941880542 3019298451 4412820813 6038596902 8825641626 19122223523 38244447046 57366670569 114733341138