Search a number
-
+
114924747344 = 24118919737243
BaseRepresentation
bin110101100001000001…
…1000111101001010000
3101222122022012001200212
41223002003013221100
53340331213403334
6124443512103252
711205641143301
oct1530203075120
9358568161625
10114924747344
1144815029740
121a334094b28
13aab689b1a4
1457c32967a8
152ec9636ece
hex1ac20c7a50

114924747344 has 80 divisors (see below), whose sum is σ = 246891965760. Its totient is φ = 51388001280.

The previous prime is 114924747341. The next prime is 114924747359. The reversal of 114924747344 is 443747429411.

It is a junction number, because it is equal to n+sod(n) for n = 114924747292 and 114924747301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114924747341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3067187 + ... + 3104429.

It is an arithmetic number, because the mean of its divisors is an integer number (3086149572).

Almost surely, 2114924747344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114924747344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123445982880).

114924747344 is an abundant number, since it is smaller than the sum of its proper divisors (131967218416).

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

114924747344 is a wasteful number, since it uses less digits than its factorization.

114924747344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37548 (or 37542 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 50.

It can be divided in two parts, 114924 and 747344, that added together give a palindrome (862268).

The spelling of 114924747344 in words is "one hundred fourteen billion, nine hundred twenty-four million, seven hundred forty-seven thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 88 89 176 178 197 356 394 712 788 979 1424 1576 1958 2167 3152 3916 4334 7832 8668 15664 17336 17533 34672 35066 37243 70132 74486 140264 148972 192863 280528 297944 385726 409673 595888 771452 819346 1542904 1638692 3085808 3277384 3314627 6554768 6629254 7336871 13258508 14673742 26517016 29347484 36460897 53034032 58694968 72921794 80705581 117389936 145843588 161411162 291687176 322822324 583374352 645644648 652981519 1291289296 1305963038 2611926076 5223852152 7182796709 10447704304 14365593418 28731186836 57462373672 114924747344