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14235410010 = 2352381125439
BaseRepresentation
bin11010100000111111…
…10001111001011010
31100202002102202101210
431100133301321122
5213123231110020
610312322123550
71012523663043
oct152037617132
940662382353
1014235410010
116045577268
1229134b05b6
13145b313743
149908758ca
15584b343e0
hex3507f1e5a

14235410010 has 64 divisors (see below), whose sum is σ = 35695779840. Its totient is φ = 3626441280.

The previous prime is 14235410009. The next prime is 14235410017. The reversal of 14235410010 is 1001453241.

It is not an unprimeable number, because it can be changed into a prime (14235410017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 546871 + ... + 572309.

It is an arithmetic number, because the mean of its divisors is an integer number (557746560).

Almost surely, 214235410010 is an apocalyptic number.

14235410010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14235410010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17847889920).

14235410010 is an abundant number, since it is smaller than the sum of its proper divisors (21460369830).

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

14235410010 is a wasteful number, since it uses less digits than its factorization.

14235410010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26283.

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 14235410010 its reverse (1001453241), we get a palindrome (15236863251).

The spelling of 14235410010 in words is "fourteen billion, two hundred thirty-five million, four hundred ten thousand, ten".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 345 690 811 1622 2433 4055 4866 8110 12165 18653 24330 25439 37306 50878 55959 76317 93265 111918 127195 152634 186530 254390 279795 381585 559590 585097 763170 1170194 1755291 2925485 3510582 5850970 8776455 17552910 20631029 41262058 61893087 103155145 123786174 206310290 309465435 474513667 618930870 949027334 1423541001 2372568335 2847082002 4745136670 7117705005 14235410010