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424002311431300 = 225272944123473377
BaseRepresentation
bin110000001101000001011101…
…1001010000010010010000100
32001121021020002002210012101101
41200122002323022002102010
5421033323213211300200
64101435550045105444
7155211104353552210
oct14032027312022204
92047236062705341
10424002311431300
111131114090a38a8
123b67a5a4258284
1315278328475534
14769bb6dbab940
153404416d4d26a
hex181a0bb282484

424002311431300 has 144 divisors (see below), whose sum is σ = 1087812191813760. Its totient is φ = 140355908259840.

The previous prime is 424002311431289. The next prime is 424002311431337. The reversal of 424002311431300 is 3134113200424.

It is a happy number.

It is a super-2 number, since 2×4240023114313002 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

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 47 ways as a sum of consecutive naturals, for example, 895460212 + ... + 895933588.

It is an arithmetic number, because the mean of its divisors is an integer number (7554251332040).

Almost surely, 2424002311431300 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 424002311431300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543906095906880).

424002311431300 is an abundant number, since it is smaller than the sum of its proper divisors (663809880382460).

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

424002311431300 is a wasteful number, since it uses less digits than its factorization.

424002311431300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517550 (or 517543 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 424002311431300 its reverse (3134113200424), we get a palindrome (427136424631724).

The spelling of 424002311431300 in words is "four hundred twenty-four trillion, two billion, three hundred eleven million, four hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 29 35 50 58 70 100 116 140 145 175 203 290 350 406 580 700 725 812 1015 1450 2030 2900 4060 5075 10150 20300 44123 88246 176492 220615 308861 441230 473377 617722 882460 946754 1103075 1235444 1279567 1544305 1893508 2206150 2366885 2559134 3088610 3313639 4412300 4733770 5118268 6177220 6397835 6627278 7721525 8956969 9467540 11834425 12795670 13254556 13727933 15443050 16568195 17913938 23668850 25591340 27455866 30886100 31989175 33136390 35827876 44784845 47337700 54911732 63978350 66272780 68639665 82840975 89569690 96095531 127956700 137279330 165681950 179139380 192191062 223924225 274558660 331363900 343198325 384382124 447848450 480477655 686396650 895696900 960955310 1372793300 1921910620 2402388275 4804776550 9609553100 20886813371 41773626742 83547253484 104434066855 146207693597 208868133710 292415387194 417736267420 522170334275 584830774388 605717587759 731038467985 1044340668550 1211435175518 1462076935970 2088681337100 2422870351036 2924153871940 3028587938795 3655192339925 4240023114313 6057175877590 7310384679850 8480046228626 12114351755180 14620769359700 15142939693975 16960092457252 21200115571565 30285879387950 42400231143130 60571758775900 84800462286260 106000577857825 212001155715650 424002311431300