Search a number
-
+
114242204244 = 223721439135017
BaseRepresentation
bin110101001100101011…
…1011011001001010100
3101220212201212021120210
41222121113123021110
53332432001013434
6124252050525420
711153012466600
oct1523127331124
9356781767523
10114242204244
11444a4822a33
121a183596870
13aa0836182c
14575a784500
152e89761ee9
hex1a995db254

114242204244 has 72 divisors (see below), whose sum is σ = 310303768320. Its totient is φ = 32617705344.

The previous prime is 114242204243. The next prime is 114242204261. The reversal of 114242204244 is 442402242411.

It is a super-2 number, since 2×1142422042442 (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 (114242204243) 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 23 ways as a sum of consecutive naturals, for example, 778624 + ... + 913640.

It is an arithmetic number, because the mean of its divisors is an integer number (4309774560).

Almost surely, 2114242204244 is an apocalyptic number.

114242204244 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114242204244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155151884160).

114242204244 is an abundant number, since it is smaller than the sum of its proper divisors (196061564076).

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

114242204244 is a wasteful number, since it uses less digits than its factorization.

114242204244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136477 (or 136468 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 114242204244 its reverse (442402242411), we get a palindrome (556644446655).

The spelling of 114242204244 in words is "one hundred fourteen billion, two hundred forty-two million, two hundred four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 1439 2878 4317 5756 8634 10073 17268 20146 30219 40292 60438 70511 120876 135017 141022 211533 270034 282044 405051 423066 540068 810102 846132 945119 1620204 1890238 2835357 3780476 5670714 6615833 11341428 13231666 19847499 26463332 39694998 79389996 194289463 388578926 582868389 777157852 1165736778 1360026241 2331473556 2720052482 4080078723 5440104964 8160157446 9520183687 16320314892 19040367374 28560551061 38080734748 57121102122 114242204244