Search a number
-
+
23412444410300 = 225211591013571747
BaseRepresentation
bin1010101001011001000100…
…11011101011000110111100
310001220012121111122200202212
411110230202123223012330
511032042141232112200
6121443310052435552
74634331124642421
oct524544233530674
9101805544580685
1023412444410300
117507186565820
1227615a4318bb8
13100aa266a715a
145ad24dd79d48
152a902877b035
hex154b226eb1bc

23412444410300 has 144 divisors (see below), whose sum is σ = 56921090567040. Its totient is φ = 8286450720000.

The previous prime is 23412444410293. The next prime is 23412444410353. The reversal of 23412444410300 is 301444421432.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4769027 + ... + 8340773.

It is an arithmetic number, because the mean of its divisors is an integer number (395285351160).

Almost surely, 223412444410300 is an apocalyptic number.

23412444410300 is a gapful number since it is divisible by the number (20) 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 23412444410300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28460545283520).

23412444410300 is an abundant number, since it is smaller than the sum of its proper divisors (33508646156740).

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

23412444410300 is a wasteful number, since it uses less digits than its factorization.

23412444410300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3571932 (or 3571925 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 23412444410300 its reverse (301444421432), we get a palindrome (23713888831732).

The spelling of 23412444410300 in words is "twenty-three trillion, four hundred twelve billion, four hundred forty-four million, four hundred ten thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 59 100 101 110 118 202 220 236 275 295 404 505 550 590 649 1010 1100 1111 1180 1298 1475 2020 2222 2525 2596 2950 3245 4444 5050 5555 5900 5959 6490 10100 11110 11918 12980 16225 22220 23836 27775 29795 32450 55550 59590 64900 65549 111100 119180 131098 148975 262196 297950 327745 595900 655490 1310980 1638725 3277450 3571747 6554900 7143494 14286988 17858735 35717470 39289217 71434940 78578434 89293675 157156868 178587350 196446085 210733073 357174700 360746447 392892170 421466146 721492894 785784340 842932292 982230425 1053665365 1442985788 1803732235 1964460850 2107330730 2318063803 3607464470 3928921700 3968210917 4214661460 4636127606 5268326825 7214928940 7936421834 9018661175 9272255212 10536653650 11590319015 15872843668 18037322350 19841054585 21073307300 21284040373 23180638030 36074644700 39682109170 42568080746 46361276060 57951595075 79364218340 85136161492 99205272925 106420201865 115903190150 198410545850 212840403730 231806380300 234124444103 396821091700 425680807460 468248888206 532101009325 936497776412 1064202018650 1170622220515 2128404037300 2341244441030 4682488882060 5853111102575 11706222205150 23412444410300