Search a number
-
+
424224424402240 = 26571117216900341
BaseRepresentation
bin110000001110101000111001…
…0000111110001110101000000
32001122001110101112112012100111
41200131101302013301311000
5421100443110121332430
64102130002105001104
7155233126464632230
oct14035216207616500
92048043345465314
10424224424402240
111131976280813a0
123b6b5651483194
1315293264b4c0a7
1476a8800a39cc0
15340a0b67b8c2a
hex181d4721f1d40

424224424402240 has 112 divisors (see below), whose sum is σ = 1259450693817984. Its totient is φ = 132225794611200.

The previous prime is 424224424402217. The next prime is 424224424402241. The reversal of 424224424402240 is 42204424422424.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 424224424402193 and 424224424402202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424224424402241) 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, 8608425531 + ... + 8608474810.

Almost surely, 2424224424402240 is an apocalyptic number.

424224424402240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

424224424402240 is an abundant number, since it is smaller than the sum of its proper divisors (835226269415744).

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

424224424402240 is a wasteful number, since it uses less digits than its factorization.

424224424402240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17216900376 (or 17216900366 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 40.

Adding to 424224424402240 its reverse (42204424422424), we get a palindrome (466428848824664).

The spelling of 424224424402240 in words is "four hundred twenty-four trillion, two hundred twenty-four billion, four hundred twenty-four million, four hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 64 70 77 80 88 110 112 140 154 160 176 220 224 280 308 320 352 385 440 448 560 616 704 770 880 1120 1232 1540 1760 2240 2464 3080 3520 4928 6160 12320 24640 17216900341 34433800682 68867601364 86084501705 120518302387 137735202728 172169003410 189385903751 241036604774 275470405456 344338006820 378771807502 482073209548 550940810912 602591511935 688676013640 757543615004 946929518755 964146419096 1101881621824 1205183023870 1325701326257 1377352027280 1515087230008 1893859037510 1928292838192 2410366047740 2651402652514 2754704054560 3030174460016 3787718075020 3856585676384 4820732095480 5302805305028 5509408109120 6060348920032 6628506631285 7575436150040 7713171352768 9641464190960 10605610610056 12120697840064 13257013262570 15150872300080 19282928381920 21211221220112 26514026525140 30301744600160 38565856763840 42422442440224 53028053050280 60603489200320 84844884880448 106056106100560 212112212201120 424224424402240