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14202408402 = 2337135775009
BaseRepresentation
bin11010011101000011…
…11000110111010010
31100122210100002201000
431032201320313102
5213041304032102
610305142522430
71011643323330
oct151641706722
940583302630
1014202408402
116028986706
122904436416
13145452a470
1498a324b50
15581cb601c
hex34e878dd2

14202408402 has 128 divisors (see below), whose sum is σ = 38919283200. Its totient is φ = 3738451968.

The previous prime is 14202408397. The next prime is 14202408403. The reversal of 14202408402 is 20480420241.

14202408402 is a `hidden beast` number, since 14 + 2 + 0 + 240 + 8 + 402 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (14202408403) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2832874 + ... + 2837882.

It is an arithmetic number, because the mean of its divisors is an integer number (304056900).

Almost surely, 214202408402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14202408402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19459641600).

14202408402 is an abundant number, since it is smaller than the sum of its proper divisors (24716874798).

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

14202408402 is a wasteful number, since it uses less digits than its factorization.

14202408402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5617 (or 5611 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 14202408402 its reverse (20480420241), we get a palindrome (34682828643).

The spelling of 14202408402 in words is "fourteen billion, two hundred two million, four hundred eight thousand, four hundred two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 91 117 126 182 189 234 273 351 378 546 577 702 819 1154 1638 1731 2457 3462 4039 4914 5009 5193 7501 8078 10018 10386 12117 15002 15027 15579 22503 24234 30054 31158 35063 36351 45006 45081 52507 65117 67509 70126 72702 90162 105014 105189 109053 130234 135018 135243 157521 195351 202527 210378 218106 270486 315042 315567 390702 405054 455819 472563 586053 631134 911638 945126 946701 1172106 1367457 1417689 1758159 1893402 2734914 2835378 2890193 3516318 4102371 5780386 8204742 8670579 12307113 17341158 20231351 24614226 26011737 37572509 40462702 52023474 60694053 75145018 78035211 112717527 121388106 156070422 182082159 225435054 263007563 338152581 364164318 526015126 546246477 676305162 789022689 1014457743 1092492954 1578045378 2028915486 2367068067 4734136134 7101204201 14202408402