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14015718544 = 2417217412
BaseRepresentation
bin11010000110110011…
…01110010010010000
31100011210001021100211
431003121232102100
5212201010443134
610234433253504
71004215433122
oct150331562220
940153037324
1014015718544
115a42564873
122871a04294
1314249535a9
1496d609212
155706da764
hex34366e490

14015718544 has 45 divisors (see below), whose sum is σ = 28863376491. Its totient is φ = 6591843840.

The previous prime is 14015718539. The next prime is 14015718547. The reversal of 14015718544 is 44581751041.

The square root of 14015718544 is 118388.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2718579600 + 11297138944 = 52140^2 + 106288^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 14015718497 and 14015718506.

It is not an unprimeable number, because it can be changed into a prime (14015718547) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8049514 + ... + 8051254.

Almost surely, 214015718544 is an apocalyptic number.

14015718544 is the 118388-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14015718544

14015718544 is an abundant number, since it is smaller than the sum of its proper divisors (14847657947).

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

14015718544 is an frugal number, since it uses more digits than its factorization.

14015718544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3524 (or 1760 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 40.

The spelling of 14015718544 in words is "fourteen billion, fifteen million, seven hundred eighteen thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 17 34 68 136 272 289 578 1156 1741 2312 3482 4624 6964 13928 27856 29597 59194 118388 236776 473552 503149 1006298 2012596 3031081 4025192 6062162 8050384 12124324 24248648 48497296 51528377 103056754 206113508 412227016 824454032 875982409 1751964818 3503929636 7007859272 14015718544