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14045251050 = 23252241129509
BaseRepresentation
bin11010001010010100…
…11000010111101010
31100020211121200100100
431011022120113222
5212231041013200
610241410250230
71005024443535
oct150512302752
940224550310
1014045251050
115a581a5aa6
12287b886976
13142aac384c
149734d5a1c
155730c0d00
hex3452985ea

14045251050 has 72 divisors (see below), whose sum is σ = 37891776780. Its totient is φ = 3729830400.

The previous prime is 14045251043. The next prime is 14045251123. The reversal of 14045251050 is 5015254041.

14045251050 is a `hidden beast` number, since 1 + 404 + 5 + 251 + 0 + 5 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 9590089041 + 4455162009 = 97929^2 + 66747^2 .

It is a super-2 number, since 2×140452510502 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 43696 + ... + 173204.

Almost surely, 214045251050 is an apocalyptic number.

14045251050 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 14045251050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18945888390).

14045251050 is an abundant number, since it is smaller than the sum of its proper divisors (23846525730).

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

14045251050 is a wasteful number, since it uses less digits than its factorization.

14045251050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129768 (or 129760 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The spelling of 14045251050 in words is "fourteen billion, forty-five million, two hundred fifty-one thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 241 450 482 723 1205 1446 2169 2410 3615 4338 6025 7230 10845 12050 18075 21690 36150 54225 108450 129509 259018 388527 647545 777054 1165581 1295090 1942635 2331162 3237725 3885270 5827905 6475450 9713175 11655810 19426350 29139525 31211669 58279050 62423338 93635007 156058345 187270014 280905021 312116690 468175035 561810042 780291725 936350070 1404525105 1560583450 2340875175 2809050210 4681750350 7022625525 14045251050