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4224300631672 = 23113115149920551
BaseRepresentation
bin111101011110001011111…
…100000100011001111000
3112221211122202220101020211
4331132023330010121320
51023202331430203142
612552341131000504
7614124051630562
oct75361374043170
915854582811224
104224300631672
111389574641040
12582845899134
132484717a33b4
14108658956332
1574d3ca06917
hex3d78bf04678

4224300631672 has 128 divisors (see below), whose sum is σ = 8996843520000. Its totient is φ = 1842102000000.

The previous prime is 4224300631657. The next prime is 4224300631717. The reversal of 4224300631672 is 2761360034224.

It is a super-3 number, since 3×42243006316723 (a number of 39 digits) contains 333 as substring.

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 31 ways as a sum of consecutive naturals, for example, 205541797 + ... + 205562347.

It is an arithmetic number, because the mean of its divisors is an integer number (70287840000).

Almost surely, 24224300631672 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 4224300631672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4498421760000).

4224300631672 is an abundant number, since it is smaller than the sum of its proper divisors (4772542888328).

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

4224300631672 is a wasteful number, since it uses less digits than its factorization.

4224300631672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21249 (or 21245 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 40.

Adding to 4224300631672 its reverse (2761360034224), we get a palindrome (6985660665896).

The spelling of 4224300631672 in words is "four trillion, two hundred twenty-four billion, three hundred million, six hundred thirty-one thousand, six hundred seventy-two".

Divisors: 1 2 4 8 11 22 31 44 62 88 124 151 248 302 341 499 604 682 998 1208 1364 1661 1996 2728 3322 3992 4681 5489 6644 9362 10978 13288 15469 18724 20551 21956 30938 37448 41102 43912 51491 61876 75349 82204 102982 123752 150698 164408 170159 205964 226061 301396 340318 411928 452122 602792 637081 680636 828839 904244 1274162 1361272 1657678 1808488 2335819 2548324 3103201 3315356 4671638 5096648 6206402 6630712 7007891 9343276 10254949 12412804 14015782 18686552 20509898 24825608 25694009 28031564 34135211 41019796 51388018 56063128 68270422 82039592 96199231 102776036 112804439 136540844 192398462 205552072 225608878 273081688 317903419 384796924 451217756 635806838 769593848 902435512 1058191541 1271613676 1548497299 2116383082 2543227352 3096994598 3496937609 4232766164 6193989196 6993875218 8465532328 12387978392 13987750436 17033470289 27975500872 34066940578 48003416269 68133881156 96006832538 136267762312 192013665076 384027330152 528037578959 1056075157918 2112150315836 4224300631672