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14410015000 = 235416317681
BaseRepresentation
bin11010110101110011…
…10110000100011000
31101012020222121102021
431122321312010120
5214002430440000
610341520344224
71020044051353
oct153271660430
941166877367
1014410015000
116125094607
122961a75074
131488548ac4
149a9b2729a
1559512411a
hex35ae76118

14410015000 has 80 divisors (see below), whose sum is σ = 33971719320. Its totient is φ = 5728320000.

The previous prime is 14410014953. The next prime is 14410015003. The reversal of 14410015000 is 51001441.

14410015000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14410015003) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 806160 + ... + 823840.

Almost surely, 214410015000 is an apocalyptic number.

14410015000 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 14410015000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16985859660).

14410015000 is an abundant number, since it is smaller than the sum of its proper divisors (19561704320).

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

14410015000 is a wasteful number, since it uses less digits than its factorization.

14410015000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17870 (or 17851 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

Adding to 14410015000 its reverse (51001441), we get a palindrome (14461016441).

The spelling of 14410015000 in words is "fourteen billion, four hundred ten million, fifteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 163 200 250 326 500 625 652 815 1000 1250 1304 1630 2500 3260 4075 5000 6520 8150 16300 17681 20375 32600 35362 40750 70724 81500 88405 101875 141448 163000 176810 203750 353620 407500 442025 707240 815000 884050 1768100 2210125 2882003 3536200 4420250 5764006 8840500 11050625 11528012 14410015 17681000 22101250 23056024 28820030 44202500 57640060 72050075 88405000 115280120 144100150 288200300 360250375 576400600 720500750 1441001500 1801251875 2882003000 3602503750 7205007500 14410015000