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424424401211200 = 26521320405019289
BaseRepresentation
bin110000010000000110000000…
…1101010110000111101000000
32001122202120120021011122201111
41200200030001222300331000
5421112232133202224300
64102401513410013104
7155253436214516665
oct14040140152607500
92048676507148644
10424424401211200
11113264417842845
123b728361277194
13152a908440b550
1476b4371a01a6c
1534103bcbab9ba
hex1820301ab0f40

424424401211200 has 84 divisors (see below), whose sum is σ = 1124683853226220. Its totient is φ = 156710548131840.

The previous prime is 424424401211179. The next prime is 424424401211231. The reversal of 424424401211200 is 2112104424424.

It can be written as a sum of positive squares in 6 ways, for example, as 1561440179776 + 422862961031424 = 1249576^2 + 20563632^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10202488845 + ... + 10202530444.

Almost surely, 2424424401211200 is an apocalyptic number.

424424401211200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

424424401211200 is an abundant number, since it is smaller than the sum of its proper divisors (700259452015020).

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

424424401211200 is a wasteful number, since it uses less digits than its factorization.

424424401211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20405019324 (or 20405019309 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 31.

Adding to 424424401211200 its reverse (2112104424424), we get a palindrome (426536505635624).

The spelling of 424424401211200 in words is "four hundred twenty-four trillion, four hundred twenty-four billion, four hundred one million, two hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 130 160 200 208 260 320 325 400 416 520 650 800 832 1040 1300 1600 2080 2600 4160 5200 10400 20800 20405019289 40810038578 81620077156 102025096445 163240154312 204050192890 265265250757 326480308624 408100385780 510125482225 530530501514 652960617248 816200771560 1020250964450 1061061003028 1305921234496 1326326253785 1632401543120 2040501928900 2122122006056 2652652507570 3264803086240 4081003857800 4244244012112 5305305015140 6529606172480 6631631268925 8162007715600 8488488024224 10610610030280 13263262537850 16324015431200 16976976048448 21221220060560 26526525075700 32648030862400 42442440121120 53053050151400 84884880242240 106106100302800 212212200605600 424424401211200