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14031205536 = 253474676659
BaseRepresentation
bin11010001000101001…
…10011010010100000
31100012212012002112010
431010110303102200
5212213442034121
610240145232520
71004464164525
oct150424632240
940185162463
1014031205536
115a50282437
122877032740
131427c167aa
149716bb14c
15571c49376
hex3445334a0

14031205536 has 96 divisors (see below), whose sum is σ = 37701780480. Its totient is φ = 4567068416.

The previous prime is 14031205501. The next prime is 14031205577. The reversal of 14031205536 is 63550213041.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2103775 + ... + 2110433.

It is an arithmetic number, because the mean of its divisors is an integer number (392726880).

Almost surely, 214031205536 is an apocalyptic number.

14031205536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14031205536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18850890240).

14031205536 is an abundant number, since it is smaller than the sum of its proper divisors (23670574944).

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

14031205536 is a wasteful number, since it uses less digits than its factorization.

14031205536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7186 (or 7178 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 14031205536 its reverse (63550213041), we get a palindrome (77581418577).

The spelling of 14031205536 in words is "fourteen billion, thirty-one million, two hundred five thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 467 564 752 934 1128 1401 1504 1868 2256 2802 3736 4512 5604 6659 7472 11208 13318 14944 19977 21949 22416 26636 39954 43898 44832 53272 65847 79908 87796 106544 131694 159816 175592 213088 263388 312973 319632 351184 526776 625946 639264 702368 938919 1053552 1251892 1877838 2107104 2503784 3109753 3755676 5007568 6219506 7511352 9329259 10015136 12439012 15022704 18658518 24878024 30045408 37317036 49756048 74634072 99512096 146158391 149268144 292316782 298536288 438475173 584633564 876950346 1169267128 1753900692 2338534256 3507801384 4677068512 7015602768 14031205536