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4023113424144 = 2431721148925243
BaseRepresentation
bin111010100010110100001…
…111110001110100010000
3112020121100200200022012020
4322202310033301310100
51011403314014033034
612320105350531440
7563442333605253
oct72426417616420
915217320608166
104023113424144
1113112137112a1
1254b858666b80
132324bb51b679
14dca10d1509a
156e9b5222249
hex3a8b43f1d10

4023113424144 has 120 divisors (see below), whose sum is σ = 11041758922080. Its totient is φ = 1261993377792.

The previous prime is 4023113424137. The next prime is 4023113424173. The reversal of 4023113424144 is 4414243113204.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159362787 + ... + 159388029.

It is an arithmetic number, because the mean of its divisors is an integer number (92014657684).

Almost surely, 24023113424144 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 4023113424144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5520879461040).

4023113424144 is an abundant number, since it is smaller than the sum of its proper divisors (7018645497936).

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

4023113424144 is a wasteful number, since it uses less digits than its factorization.

4023113424144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36777 (or 36754 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 4023113424144 its reverse (4414243113204), we get a palindrome (8437356537348).

The spelling of 4023113424144 in words is "four trillion, twenty-three billion, one hundred thirteen million, four hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 289 408 578 816 867 1156 1734 2312 3468 4624 6936 11489 13872 22978 25243 34467 45956 50486 68934 75729 91912 100972 137868 151458 183824 195313 201944 275736 302916 390626 403888 429131 551472 585939 605832 781252 858262 1171878 1211664 1287393 1562504 1716524 2343756 2574786 3125008 3320321 3433048 4687512 5149572 6640642 6866096 7295227 9375024 9960963 10299144 13281284 14590454 19921926 20598288 21885681 26562568 29180908 39843852 43771362 53125136 58361816 79687704 87542724 116723632 159375408 175085448 290016827 350170896 580033654 870050481 1160067308 1740100962 2320134616 3480201924 4640269232 4930286059 6960403848 9860572118 13920807696 14790858177 19721144236 29581716354 39442288472 59163432708 78884576944 83814863003 118326865416 167629726006 236653730832 251444589009 335259452012 502889178018 670518904024 1005778356036 1341037808048 2011556712072 4023113424144