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14302414312407 = 32135397136117471
BaseRepresentation
bin1101000000100000101001…
…0100110001001111010111
31212122022000211210202111200
43100020022110301033113
53333312321030444112
650230234411203543
73004213105526544
oct320101224611727
955568024722450
1014302414312407
11461469001a5a1
12172baa17465b3
137c993400cb80
143763520b7bcb
1519c08a50dcdc
hexd020a5313d7

14302414312407 has 96 divisors (see below), whose sum is σ = 22919806780416. Its totient is φ = 8539626700800.

The previous prime is 14302414312391. The next prime is 14302414312567. The reversal of 14302414312407 is 70421341420341.

14302414312407 is a `hidden beast` number, since 1 + 4 + 3 + 0 + 241 + 4 + 3 + 1 + 2 + 407 = 666.

It is not a de Polignac number, because 14302414312407 - 24 = 14302414312391 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14302414312607) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 818628682 + ... + 818646152.

It is an arithmetic number, because the mean of its divisors is an integer number (238747987296).

Almost surely, 214302414312407 is an apocalyptic number.

14302414312407 is a deficient number, since it is larger than the sum of its proper divisors (8617392468009).

14302414312407 is a wasteful number, since it uses less digits than its factorization.

14302414312407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19001 (or 18998 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

Adding to 14302414312407 its reverse (70421341420341), we get a palindrome (84723755732748).

The spelling of 14302414312407 in words is "fourteen trillion, three hundred two billion, four hundred fourteen million, three hundred twelve thousand, four hundred seven".

Divisors: 1 3 9 13 39 53 97 117 159 291 477 689 873 1261 1361 2067 3783 4083 5141 6201 11349 12249 15423 17471 17693 46269 52413 53079 66833 72133 132017 157239 159237 200499 216399 227123 396051 601497 649197 681369 925963 937729 1188153 1694687 1716221 2044107 2777889 2813187 5084061 5148663 6996901 8333667 8439561 12037519 15252183 15445989 20990703 22030931 23778031 36112557 62972109 66092793 71334093 89818411 90959713 108337671 198278379 214002279 269455233 272879139 309114403 808365699 818637417 927343209 1167639343 1260235643 2306469007 2782029627 3502918029 3780706929 6919407021 10508754087 11342120787 16383063359 20758221063 29984097091 49149190077 89952291273 122242857371 147447570231 269856873819 366728572113 1100185716339 1589157145823 4767471437469 14302414312407