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14004302214 = 23721131912207
BaseRepresentation
bin11010000101011100…
…01011000110000110
31100010222120021002210
431002232023012012
5212140100132324
610233344444250
71004016414300
oct150256130606
940128507083
1014004302214
115a37077591
12286a019686
131422487176
1496bcb6970
1556e6d2d29
hex342b8b186

14004302214 has 96 divisors (see below), whose sum is σ = 33056833536. Its totient is φ = 3943269120.

The previous prime is 14004302183. The next prime is 14004302231. The reversal of 14004302214 is 41220340041.

It is a super-2 number, since 2×140043022142 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6344299 + ... + 6346505.

It is an arithmetic number, because the mean of its divisors is an integer number (344342016).

Almost surely, 214004302214 is an apocalyptic number.

14004302214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14004302214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16528416768).

14004302214 is an abundant number, since it is smaller than the sum of its proper divisors (19052531322).

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

14004302214 is a wasteful number, since it uses less digits than its factorization.

14004302214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2530 (or 2523 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 14004302214 its reverse (41220340041), we get a palindrome (55224642255).

The spelling of 14004302214 in words is "fourteen billion, four million, three hundred two thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 49 98 113 147 191 226 294 339 382 573 678 791 1146 1337 1582 2207 2373 2674 4011 4414 4746 5537 6621 8022 9359 11074 13242 15449 16611 18718 21583 28077 30898 33222 43166 46347 56154 64749 92694 108143 129498 151081 216286 249391 302162 324429 421537 453243 498782 648858 748173 843074 906486 1057567 1264611 1496346 1745737 2115134 2529222 2950759 3172701 3491474 5237211 5901518 6345402 8852277 10474422 12220159 17704554 20655313 24440318 36660477 41310626 47633681 61965939 73320954 95267362 123931878 142901043 285802086 333435767 666871534 1000307301 2000614602 2334050369 4668100738 7002151107 14004302214