Search a number
-
+
424243442120 = 235101642716339
BaseRepresentation
bin1100010110001101110…
…00010011000111001000
31111120001020212211111112
412023012320103013020
523422322310121440
6522521133145452
742436101521201
oct6130670230710
91446036784445
10424243442120
11153a143aa283
126a27a32b288
13310101c2174
1416767c8c5a8
15b07ee75965
hex62c6e131c8

424243442120 has 64 divisors (see below), whose sum is σ = 964207713600. Its totient is φ = 167980780800.

The previous prime is 424243442113. The next prime is 424243442171. The reversal of 424243442120 is 21244342424.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25956911 + ... + 25973249.

It is an arithmetic number, because the mean of its divisors is an integer number (15065745525).

Almost surely, 2424243442120 is an apocalyptic number.

424243442120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

424243442120 is an abundant number, since it is smaller than the sum of its proper divisors (539964271480).

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

424243442120 is a wasteful number, since it uses less digits than its factorization.

424243442120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22878 (or 22874 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 424243442120 its reverse (21244342424), we get a palindrome (445487784544).

The spelling of 424243442120 in words is "four hundred twenty-four billion, two hundred forty-three million, four hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 101 202 404 505 808 1010 2020 4040 6427 12854 16339 25708 32135 32678 51416 64270 65356 81695 128540 130712 163390 257080 326780 649127 653560 1298254 1650239 2596508 3245635 3300478 5193016 6491270 6600956 8251195 12982540 13201912 16502390 25965080 33004780 66009560 105010753 210021506 420043012 525053765 840086024 1050107530 2100215060 4200430120 10606086053 21212172106 42424344212 53030430265 84848688424 106060860530 212121721060 424243442120