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14424231315 = 3513172311823
BaseRepresentation
bin11010110111100000…
…00100110110010011
31101020020201212112110
431123300010312103
5214020100400230
610343145200403
71020305641344
oct153360046623
941206655473
1014424231315
11613211452a
122966790103
13148b485820
149ab9880cb
155964d14b0
hex35bc04d93

14424231315 has 96 divisors (see below), whose sum is σ = 26519141376. Its totient is φ = 6653859840.

The previous prime is 14424231301. The next prime is 14424231317. The reversal of 14424231315 is 51313242441.

14424231315 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14424231315 - 26 = 14424231251 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14424231317) 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 95 ways as a sum of consecutive naturals, for example, 17525994 + ... + 17526816.

It is an arithmetic number, because the mean of its divisors is an integer number (276241056).

Almost surely, 214424231315 is an apocalyptic number.

14424231315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

14424231315 is a deficient number, since it is larger than the sum of its proper divisors (12094910061).

14424231315 is a wasteful number, since it uses less digits than its factorization.

14424231315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189 (or 1172 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

Adding to 14424231315 its reverse (51313242441), we get a palindrome (65737473756).

The spelling of 14424231315 in words is "fourteen billion, four hundred twenty-four million, two hundred thirty-one thousand, three hundred fifteen".

Divisors: 1 3 5 13 15 17 39 51 65 85 195 221 255 289 311 663 823 867 933 1105 1445 1555 2469 3315 3757 4043 4115 4335 4665 5287 10699 11271 12129 12345 13991 15861 18785 20215 26435 32097 41973 53495 56355 60645 68731 69955 79305 89879 160485 181883 206193 209865 237847 255953 269637 343655 449395 545649 713541 767859 909415 1030965 1168427 1189235 1279765 1348185 2728245 3092011 3327389 3505281 3567705 3839295 4351201 5842135 9276033 9982167 13053603 15460055 16636945 17526405 21756005 46380165 49910835 56565613 65268015 73970417 169696839 221911251 282828065 369852085 848484195 961615421 1109556255 2884846263 4808077105 14424231315