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424142565241424 = 241011632470965167
BaseRepresentation
bin110000001110000010110001…
…0111011110111001001010000
32001121202122002122001222011112
41200130011202323313021100
5421043122433200211144
64102024223215032452
7155224201106352551
oct14034054273671120
92047678078058145
10424142565241424
11113165940783277
123b6a1806b0b728
131528861a7b2223
1476a4876dc8328
153407dc4ea799e
hex181c162ef7250

424142565241424 has 80 divisors (see below), whose sum is σ = 835050714167040. Its totient is φ = 208671750028800.

The previous prime is 424142565241361. The next prime is 424142565241427.

424142565241424 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4241425652414242 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424142565241427) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6508515689 + ... + 6508580855.

It is an arithmetic number, because the mean of its divisors is an integer number (10438133927088).

Almost surely, 2424142565241424 is an apocalyptic number.

It is an amenable number.

424142565241424 is a deficient number, since it is larger than the sum of its proper divisors (410908148925616).

424142565241424 is a wasteful number, since it uses less digits than its factorization.

424142565241424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90148 (or 90142 counting only the distinct ones).

The product of its digits is 9830400, while the sum is 50.

The spelling of 424142565241424 in words is "four hundred twenty-four trillion, one hundred forty-two billion, five hundred sixty-five million, two hundred forty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 101 163 202 326 404 652 808 1304 1616 2608 16463 24709 32926 49418 65167 65852 98836 130334 131704 197672 260668 263408 395344 521336 1042672 2495609 4027567 4991218 6581867 8055134 9982436 10622221 13163734 16110268 19964872 21244442 26327468 32220536 39929744 42488884 52654936 64441072 84977768 105309872 169955536 406784267 813568534 1072844321 1610211403 1627137068 2145688642 3220422806 3254274136 4291377284 6440845612 6508548272 8582754568 12881691224 17165509136 25763382448 162631351703 262464458689 325262703406 524928917378 650525406812 1049857834756 1301050813624 2099715669512 2602101627248 4199431339024 26508910327589 53017820655178 106035641310356 212071282620712 424142565241424