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13312141341400 = 23521129208654253
BaseRepresentation
bin1100000110110111100101…
…1101001011001011011000
31202010121222000111121022201
43001231321131023023120
53221101231140411100
644151302512455544
72542525162255606
oct301557135131330
952117860447281
1013312141341400
114272713816540
1215abb9524a5b4
137574390085b5
1434044d858876
1518142cbd536a
hexc1b7974b2d8

13312141341400 has 96 divisors (see below), whose sum is σ = 34928722119600. Its totient is φ = 4673855244800.

The previous prime is 13312141341397. The next prime is 13312141341419. The reversal of 13312141341400 is 414314121331.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104263327 + ... + 104390926.

Almost surely, 213312141341400 is an apocalyptic number.

13312141341400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13312141341400 is an abundant number, since it is smaller than the sum of its proper divisors (21616580778200).

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

13312141341400 is a wasteful number, since it uses less digits than its factorization.

13312141341400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208654309 (or 208654300 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 13312141341400 its reverse (414314121331), we get a palindrome (13726455462731).

The spelling of 13312141341400 in words is "thirteen trillion, three hundred twelve billion, one hundred forty-one million, three hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 29 40 44 50 55 58 88 100 110 116 145 200 220 232 275 290 319 440 550 580 638 725 1100 1160 1276 1450 1595 2200 2552 2900 3190 5800 6380 7975 12760 15950 31900 63800 208654253 417308506 834617012 1043271265 1669234024 2086542530 2295196783 4173085060 4590393566 5216356325 6050973337 8346170120 9180787132 10432712650 11475983915 12101946674 18361574264 20865425300 22951967830 24203893348 30254866685 41730850600 45903935660 48407786696 57379919575 60509733370 66560706707 91807871320 114759839150 121019466740 133121413414 151274333425 229519678300 242038933480 266242826828 302548666850 332803533535 459039356600 532485653656 605097333700 665607067070 1210194667400 1331214134140 1664017667675 2662428268280 3328035335350 6656070670700 13312141341400