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14235020140 = 22511432296571
BaseRepresentation
bin11010100000111100…
…10010101101101100
31100202001200221121011
431100132102231230
5213123131121030
610312305515004
71012520450305
oct152036225554
940661627534
1014235020140
116045330360
122913342a64
13145b208153
149907b37ac
15584aa8b2a
hex350792b6c

14235020140 has 96 divisors (see below), whose sum is σ = 33520354560. Its totient is φ = 5033145600.

The previous prime is 14235020071. The next prime is 14235020201. The reversal of 14235020140 is 4102053241.

14235020140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×142350201403 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2163055 + ... + 2169625.

It is an arithmetic number, because the mean of its divisors is an integer number (349170360).

Almost surely, 214235020140 is an apocalyptic number.

14235020140 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 14235020140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16760177280).

14235020140 is an abundant number, since it is smaller than the sum of its proper divisors (19285334420).

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

14235020140 is a wasteful number, since it uses less digits than its factorization.

14235020140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6863 (or 6861 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 14235020140 its reverse (4102053241), we get a palindrome (18337073381).

The spelling of 14235020140 in words is "fourteen billion, two hundred thirty-five million, twenty thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 43 44 55 86 110 172 215 220 229 430 458 473 860 916 946 1145 1892 2290 2365 2519 4580 4730 5038 6571 9460 9847 10076 12595 13142 19694 25190 26284 32855 39388 49235 50380 65710 72281 98470 108317 131420 144562 196940 216634 282553 289124 361405 433268 541585 565106 722810 1083170 1130212 1412765 1445620 1504759 2166340 2825530 3009518 3108083 5651060 6019036 6216166 7523795 12432332 15047590 15540415 16552349 30095180 31080830 33104698 62161660 64704637 66209396 82761745 129409274 165523490 258818548 323523185 331046980 647046370 711751007 1294092740 1423502014 2847004028 3558755035 7117510070 14235020140