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4002431312124 = 2232727513021241
BaseRepresentation
bin111010001111100011011…
…111110010000011111100
3112011121222022122011011100
4322033203133302003330
51011033434403441444
612302405213253100
7562110656551500
oct72174337620374
915147868564140
104002431312124
111303470150433
12547846194190
1323057372866b
14dba0c1d0300
156e1a4668e69
hex3a3e37f20fc

4002431312124 has 108 divisors (see below), whose sum is σ = 11784729055008. Its totient is φ = 1142028720000.

The previous prime is 4002431312029. The next prime is 4002431312161. The reversal of 4002431312124 is 4212131342004.

4002431312124 is a `hidden beast` number, since 400 + 2 + 4 + 3 + 131 + 2 + 124 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 185857 + ... + 2835384.

Almost surely, 24002431312124 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 4002431312124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5892364527504).

4002431312124 is an abundant number, since it is smaller than the sum of its proper divisors (7782297742884).

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

4002431312124 is a wasteful number, since it uses less digits than its factorization.

4002431312124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3022016 (or 3022004 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 4002431312124 its reverse (4212131342004), we get a palindrome (8214562654128).

The spelling of 4002431312124 in words is "four trillion, two billion, four hundred thirty-one million, three hundred twelve thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 751 882 1502 1764 2253 3004 4506 5257 6759 9012 10514 13518 15771 21028 27036 31542 36799 47313 63084 73598 94626 110397 147196 189252 220794 331191 441588 662382 1324764 3021241 6042482 9063723 12084964 18127446 21148687 27191169 36254892 42297374 54382338 63446061 84594748 108764676 126892122 148040809 190338183 253784244 296081618 380676366 444122427 592163236 761352732 888244854 1332367281 1776489708 2268951991 2664734562 4537903982 5329469124 6806855973 9075807964 13613711946 15882663937 20420567919 27227423892 31765327874 40841135838 47647991811 63530655748 81682271676 95295983622 111178647559 142943975433 190591967244 222357295118 285887950866 333535942677 444714590236 571775901732 667071885354 1000607828031 1334143770708 2001215656062 4002431312124