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14014541124 = 223217181126517
BaseRepresentation
bin11010000110101010…
…01110110101000100
31100011200211110020200
431003111032311010
5212200210303444
610234352130500
71004202430323
oct150325166504
940150743220
1014014541124
115a419301a1
122871536a30
1314246306ac
1496d3c00ba
15570556969
hex34354ed44

14014541124 has 72 divisors (see below), whose sum is σ = 37717040088. Its totient is φ = 4372392960.

The previous prime is 14014541117. The next prime is 14014541129. The reversal of 14014541124 is 42114541041.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 461390400 + 13553150724 = 21480^2 + 116418^2 .

It is not an unprimeable number, because it can be changed into a prime (14014541129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47514 + ... + 174030.

It is an arithmetic number, because the mean of its divisors is an integer number (523847779).

Almost surely, 214014541124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14014541124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18858520044).

14014541124 is an abundant number, since it is smaller than the sum of its proper divisors (23702498964).

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

14014541124 is a wasteful number, since it uses less digits than its factorization.

14014541124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126725 (or 126720 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The spelling of 14014541124 in words is "fourteen billion, fourteen million, five hundred forty-one thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 181 204 306 362 543 612 724 1086 1629 2172 3077 3258 6154 6516 9231 12308 18462 27693 36924 55386 110772 126517 253034 379551 506068 759102 1138653 1518204 2150789 2277306 4301578 4554612 6452367 8603156 12904734 19357101 22899577 25809468 38714202 45799154 68698731 77428404 91598308 137397462 206096193 274794924 389292809 412192386 778585618 824384772 1167878427 1557171236 2335756854 3503635281 4671513708 7007270562 14014541124