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14255141440 = 2657128837
BaseRepresentation
bin11010100011010110…
…00011001001000000
31100210110120012211111
431101223003021000
5213143304011230
610314305053104
71013153463061
oct152153031100
940713505744
1014255141440
116055723831
12291a027194
131462431847
14993330568
1558673092a
hex351ac3240

14255141440 has 84 divisors (see below), whose sum is σ = 34433784828. Its totient is φ = 5621109760.

The previous prime is 14255141413. The next prime is 14255141443. The reversal of 14255141440 is 4414155241.

It can be written as a sum of positive squares in 2 ways, for example, as 11281838656 + 2973302784 = 106216^2 + 54528^2 .

It is not an unprimeable number, because it can be changed into a prime (14255141443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1608702 + ... + 1617538.

Almost surely, 214255141440 is an apocalyptic number.

14255141440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14255141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17216892414).

14255141440 is an abundant number, since it is smaller than the sum of its proper divisors (20178643388).

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

14255141440 is an frugal number, since it uses more digits than its factorization.

14255141440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8996 (or 8915 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 31.

Adding to 14255141440 its reverse (4414155241), we get a palindrome (18669296681).

The spelling of 14255141440 in words is "fourteen billion, two hundred fifty-five million, one hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 71 80 142 160 284 320 355 568 710 1136 1420 2272 2840 4544 5041 5680 8837 10082 11360 17674 20164 22720 25205 35348 40328 44185 50410 70696 80656 88370 100820 141392 161312 176740 201640 282784 322624 353480 403280 565568 627427 706960 806560 1254854 1413920 1613120 2509708 2827840 3137135 5019416 6274270 10038832 12548540 20077664 25097080 40155328 44547317 50194160 89094634 100388320 178189268 200776640 222736585 356378536 445473170 712757072 890946340 1425514144 1781892680 2851028288 3563785360 7127570720 14255141440