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13241422400 = 265217486817
BaseRepresentation
bin11000101010100000…
…00001001001000000
31021011211001221201212
430111100001021000
5204104301004100
610025533345252
7646064143013
oct142520011100
937154057655
1013241422400
11568548a6a8
122696638228
1313304000ab
148d885137a
1552773e635
hex315401240

13241422400 has 84 divisors (see below), whose sum is σ = 34498844388. Its totient is φ = 4984995840.

The previous prime is 13241422393. The next prime is 13241422423. The reversal of 13241422400 is 422414231.

It can be written as a sum of positive squares in 6 ways, for example, as 1376113216 + 11865309184 = 37096^2 + 108928^2 .

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, 216209 + ... + 270608.

Almost surely, 213241422400 is an apocalyptic number.

13241422400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13241422400 is an abundant number, since it is smaller than the sum of its proper divisors (21257421988).

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

13241422400 is a wasteful number, since it uses less digits than its factorization.

13241422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486856 (or 486841 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 13241422400 its reverse (422414231), we get a palindrome (13663836631).

The spelling of 13241422400 in words is "thirteen billion, two hundred forty-one million, four hundred twenty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 64 68 80 85 100 136 160 170 200 272 320 340 400 425 544 680 800 850 1088 1360 1600 1700 2720 3400 5440 6800 13600 27200 486817 973634 1947268 2434085 3894536 4868170 7789072 8275889 9736340 12170425 15578144 16551778 19472680 24340850 31156288 33103556 38945360 41379445 48681700 66207112 77890720 82758890 97363400 132414224 155781440 165517780 194726800 206897225 264828448 331035560 389453600 413794450 529656896 662071120 778907200 827588900 1324142240 1655177800 2648284480 3310355600 6620711200 13241422400