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14104341300 = 2235272959479
BaseRepresentation
bin11010010001010111…
…10010101100110100
31100101221210202221010
431020223302230310
5212341202410200
610251320552220
71006342631400
oct151053625464
940357722833
1014104341300
115a88595415
122897622670
13143a1126aa
1497b2b8100
15578394150
hex348af2b34

14104341300 has 108 divisors (see below), whose sum is σ = 47471232480. Its totient is φ = 3223846080.

The previous prime is 14104341289. The next prime is 14104341301. The reversal of 14104341300 is 314340141.

14104341300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14104341301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 465040 + ... + 494439.

Almost surely, 214104341300 is an apocalyptic number.

14104341300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14104341300 is an abundant number, since it is smaller than the sum of its proper divisors (33366891180).

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

14104341300 is a wasteful number, since it uses less digits than its factorization.

14104341300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959510 (or 959496 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 14104341300 its reverse (314340141), we get a palindrome (14418681441).

The spelling of 14104341300 in words is "fourteen billion, one hundred four million, three hundred forty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 49 50 60 70 75 84 98 100 105 140 147 150 175 196 210 245 294 300 350 420 490 525 588 700 735 980 1050 1225 1470 2100 2450 2940 3675 4900 7350 14700 959479 1918958 2878437 3837916 4797395 5756874 6716353 9594790 11513748 13432706 14392185 19189580 20149059 23986975 26865412 28784370 33581765 40298118 47014471 47973950 57568740 67163530 71960925 80596236 94028942 95947900 100745295 134327060 141043413 143921850 167908825 188057884 201490590 235072355 282086826 287843700 335817650 402981180 470144710 503726475 564173652 671635300 705217065 940289420 1007452950 1175361775 1410434130 2014905900 2350723550 2820868260 3526085325 4701447100 7052170650 14104341300