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14445700240 = 2451091656617
BaseRepresentation
bin11010111010000011…
…11110010010010000
31101021202010121100211
431131001332102100
5214041044401430
610345233253504
71020656266066
oct153501762220
941252117324
1014445700240
116143248444
122971a04294
131492a6172a
149b0776036
1559832272a
hex35d07e490

14445700240 has 40 divisors (see below), whose sum is σ = 33894404280. Its totient is φ = 5725264896.

The previous prime is 14445700237. The next prime is 14445700249. The reversal of 14445700240 is 4200754441.

It can be written as a sum of positive squares in 4 ways, for example, as 2964149136 + 11481551104 = 54444^2 + 107152^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (14445700249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 819589 + ... + 837028.

It is an arithmetic number, because the mean of its divisors is an integer number (847360107).

Almost surely, 214445700240 is an apocalyptic number.

14445700240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14445700240 is an abundant number, since it is smaller than the sum of its proper divisors (19448704040).

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

14445700240 is a wasteful number, since it uses less digits than its factorization.

14445700240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1656739 (or 1656733 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 31.

The spelling of 14445700240 in words is "fourteen billion, four hundred forty-five million, seven hundred thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 109 218 436 545 872 1090 1744 2180 4360 8720 1656617 3313234 6626468 8283085 13252936 16566170 26505872 33132340 66264680 132529360 180571253 361142506 722285012 902856265 1444570024 1805712530 2889140048 3611425060 7222850120 14445700240