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14001416500 = 225397288689
BaseRepresentation
bin11010000101000110…
…01010100100110100
31100010210010122122111
431002203022210310
5212133330312000
610233202540404
71003653035161
oct150243124464
940123118574
1014001416500
115a354864a5
122869067704
1314219b6846
1496b765068
1556e312cba
hex3428ca934

14001416500 has 48 divisors (see below), whose sum is σ = 30894449040. Its totient is φ = 5542809600.

The previous prime is 14001416467. The next prime is 14001416503. The reversal of 14001416500 is 561410041.

It can be written as a sum of positive squares in 8 ways, for example, as 4078865956 + 9922550544 = 63866^2 + 99612^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14001416503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95845 + ... + 192844.

It is an arithmetic number, because the mean of its divisors is an integer number (643634355).

Almost surely, 214001416500 is an apocalyptic number.

14001416500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14001416500 is an abundant number, since it is smaller than the sum of its proper divisors (16893032540).

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

14001416500 is a wasteful number, since it uses less digits than its factorization.

14001416500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288805 (or 288793 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

Adding to 14001416500 its reverse (561410041), we get a palindrome (14562826541).

The spelling of 14001416500 in words is "fourteen billion, one million, four hundred sixteen thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 97 100 125 194 250 388 485 500 970 1940 2425 4850 9700 12125 24250 48500 288689 577378 1154756 1443445 2886890 5773780 7217225 14434450 28002833 28868900 36086125 56005666 72172250 112011332 140014165 144344500 280028330 560056660 700070825 1400141650 2800283300 3500354125 7000708250 14001416500