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13240444420320 = 2535132121866093
BaseRepresentation
bin1100000010101100011111…
…1111001000000011100000
31201212202220100002122100020
43000223013333020003200
53213412412232422240
644054324242553440
72534406361426305
oct300530777100340
951782810078306
1013240444420320
114245271774557
12159a106068880
13750751151c40
1433abab71d0ac
1517e63362d0d0
hexc0ac7fc80e0

13240444420320 has 96 divisors (see below), whose sum is σ = 44915661477792. Its totient is φ = 3259186317312.

The previous prime is 13240444420319. The next prime is 13240444420337. The reversal of 13240444420320 is 2302444404231.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×132404444203203 (a number of 40 digits) contains 333 as substring.

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 15 ways as a sum of consecutive naturals, for example, 1060926807 + ... + 1060939286.

It is an arithmetic number, because the mean of its divisors is an integer number (467871473727).

Almost surely, 213240444420320 is an apocalyptic number.

13240444420320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13240444420320 is an abundant number, since it is smaller than the sum of its proper divisors (31675217057472).

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

13240444420320 is a wasteful number, since it uses less digits than its factorization.

13240444420320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2121866124 (or 2121866116 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 13240444420320 its reverse (2302444404231), we get a palindrome (15542888824551).

The spelling of 13240444420320 in words is "thirteen trillion, two hundred forty billion, four hundred forty-four million, four hundred twenty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 3120 6240 2121866093 4243732186 6365598279 8487464372 10609330465 12731196558 16974928744 21218660930 25462393116 27584259209 31827991395 33949857488 42437321860 50924786232 55168518418 63655982790 67899714976 82752777627 84874643720 101849572464 110337036836 127311965580 137921296045 165505555254 169749287440 203699144928 220674073672 254623931160 275842592090 331011110508 339498574880 413763888135 441348147344 509247862320 551685184180 662022221016 827527776270 882696294688 1018495724640 1103370368360 1324044442032 1655055552540 2206740736720 2648088884064 3310111105080 4413481473440 6620222210160 13240444420320