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14408003010 = 2352933150033
BaseRepresentation
bin11010110101100100…
…01010110111000010
31101012010012101111010
431122302022313002
5214001422044020
610341405301350
71020021001452
oct153262126702
941163171433
1014408003010
116123a3aa05
122961264856
131487cc308b
149a9761d62
15594d77de0
hex35ac8adc2

14408003010 has 64 divisors (see below), whose sum is σ = 35880382080. Its totient is φ = 3698365440.

The previous prime is 14408003009. The next prime is 14408003041. The reversal of 14408003010 is 1030080441.

14408003010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 262954 + ... + 312986.

It is an arithmetic number, because the mean of its divisors is an integer number (560630970).

Almost surely, 214408003010 is an apocalyptic number.

14408003010 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 14408003010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17940191040).

14408003010 is an abundant number, since it is smaller than the sum of its proper divisors (21472379070).

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

14408003010 is a wasteful number, since it uses less digits than its factorization.

14408003010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50403.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 14408003010 its reverse (1030080441), we get a palindrome (15438083451).

The spelling of 14408003010 in words is "fourteen billion, four hundred eight million, three thousand, ten".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 174 290 331 435 662 870 993 1655 1986 3310 4965 9599 9930 19198 28797 47995 50033 57594 95990 100066 143985 150099 250165 287970 300198 500330 750495 1450957 1500990 2901914 4352871 7254785 8705742 14509570 16560923 21764355 33121846 43528710 49682769 82804615 99365538 165609230 248413845 480266767 496827690 960533534 1440800301 2401333835 2881600602 4802667670 7204001505 14408003010