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14005131020 = 22523311675881
BaseRepresentation
bin11010000101100010…
…10101011100001100
31100011001010101000022
431002301111130030
5212140303143040
610233414321312
71004026435526
oct150261253414
940131111008
1014005131020
115a37593251
12286a359238
1314226b749a
1496c050a16
1556e7e86b5
hex342c5570c

14005131020 has 96 divisors (see below), whose sum is σ = 31874605056. Its totient is φ = 5153702400.

The previous prime is 14005130999. The next prime is 14005131031. The reversal of 14005131020 is 2013150041.

It is a super-2 number, since 2×140051310202 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14005131020.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2378480 + ... + 2384360.

It is an arithmetic number, because the mean of its divisors is an integer number (332027136).

Almost surely, 214005131020 is an apocalyptic number.

14005131020 is a gapful number since it is divisible by the number (10) 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 14005131020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15937302528).

14005131020 is an abundant number, since it is smaller than the sum of its proper divisors (17869474036).

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

14005131020 is a wasteful number, since it uses less digits than its factorization.

14005131020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6111 (or 6109 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

Adding to 14005131020 its reverse (2013150041), we get a palindrome (16018281061).

The spelling of 14005131020 in words is "fourteen billion, five million, one hundred thirty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 23 31 46 62 92 115 124 155 167 230 310 334 460 620 668 713 835 1426 1670 2852 3340 3565 3841 5177 5881 7130 7682 10354 11762 14260 15364 19205 20708 23524 25885 29405 38410 51770 58810 76820 103540 117620 119071 135263 182311 238142 270526 364622 476284 541052 595355 676315 729244 911555 982127 1190710 1352630 1823110 1964254 2381420 2705260 3646220 3928508 4193153 4910635 8386306 9821270 16772612 19642540 20965765 22588921 30445937 41931530 45177842 60891874 83863060 90355684 112944605 121783748 152229685 225889210 304459370 451778420 608918740 700256551 1400513102 2801026204 3501282755 7002565510 14005131020