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13304143302400 = 28522767751273
BaseRepresentation
bin1100000110011001110010…
…1111000100111100000000
31202002212022121210010102001
43001212130233010330000
53220433341141134100
644143501123033344
72542123034123626
oct301463457047400
952085277703361
1013304143302400
11426a28a068455
1215aa52280b854
13756763000c42
1433dcd1541516
15181110975d6a
hexc199cbc4f00

13304143302400 has 108 divisors (see below), whose sum is σ = 32941778209312. Its totient is φ = 5319726981120.

The previous prime is 13304143302367. The next prime is 13304143302421. The reversal of 13304143302400 is 420334140331.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17333164 + ... + 18084436.

Almost surely, 213304143302400 is an apocalyptic number.

13304143302400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13304143302400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16470889104656).

13304143302400 is an abundant number, since it is smaller than the sum of its proper divisors (19637634906912).

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

13304143302400 is an equidigital number, since it uses as much as digits as its factorization.

13304143302400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754066 (or 754047 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 13304143302400 its reverse (420334140331), we get a palindrome (13724477442731).

The spelling of 13304143302400 in words is "thirteen trillion, three hundred four billion, one hundred forty-three million, three hundred two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 640 800 1280 1600 2767 3200 5534 6400 11068 13835 22136 27670 44272 55340 69175 88544 110680 138350 177088 221360 276700 354176 442720 553400 708352 751273 885440 1106800 1502546 1770880 2213600 3005092 3541760 3756365 4427200 6010184 7512730 8854400 12020368 15025460 17708800 18781825 24040736 30050920 37563650 48081472 60101840 75127300 96162944 120203680 150254600 192325888 240407360 300509200 480814720 601018400 961629440 1202036800 2078772391 2404073600 4157544782 4808147200 8315089564 10393861955 16630179128 20787723910 33260358256 41575447820 51969309775 66520716512 83150895640 103938619550 133041433024 166301791280 207877239100 266082866048 332603582560 415754478200 532165732096 665207165120 831508956400 1330414330240 1663017912800 2660828660480 3326035825600 6652071651200 13304143302400