Search a number
-
+
23240324440112 = 24132631447293599
BaseRepresentation
bin1010100100011000011110…
…10010000110000000110000
310001021202100011120021021012
411102030033102012000300
511021232141024040422
6121232242504250052
74616025622224233
oct522141722060060
9101252304507235
1023240324440112
1174501912aa67a
122734169770928
13cc772648c550
145a4ba293941a
152a4802c714e2
hex15230f486030

23240324440112 has 80 divisors (see below), whose sum is σ = 48710015692800. Its totient is φ = 10678098191616.

The previous prime is 23240324439989. The next prime is 23240324440129. The reversal of 23240324440112 is 21104442304232.

It is a happy number.

It is a super-2 number, since 2×232403244401122 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79009889 + ... + 79303487.

It is an arithmetic number, because the mean of its divisors is an integer number (608875196160).

Almost surely, 223240324440112 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 23240324440112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24355007846400).

23240324440112 is an abundant number, since it is smaller than the sum of its proper divisors (25469691252688).

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

23240324440112 is a wasteful number, since it uses less digits than its factorization.

23240324440112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295330 (or 295324 counting only the distinct ones).

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

Adding to 23240324440112 its reverse (21104442304232), we get a palindrome (44344766744344).

The spelling of 23240324440112 in words is "twenty-three trillion, two hundred forty billion, three hundred twenty-four million, four hundred forty thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 52 104 208 263 526 1052 1447 2104 2894 3419 4208 5788 6838 11576 13676 18811 23152 27352 37622 54704 75244 150488 293599 300976 380561 587198 761122 1174396 1522244 2348792 3044488 3816787 4697584 4947293 6088976 7633574 9894586 15267148 19789172 30534296 39578344 61068592 77216537 79156688 154433074 308866148 424837753 617732296 849675506 1003814981 1235464592 1699351012 2007629962 3398702024 4015259924 5522890789 6797404048 8030519848 11045781578 16061039696 22091563156 44183126312 88366252624 111732329039 223464658078 446929316156 893858632312 1452520277507 1787717264624 2905040555014 5810081110028 11620162220056 23240324440112