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13144354560 = 283253673109
BaseRepresentation
bin11000011110111011…
…01110111100000000
31020221001102101200200
430033131232330000
5203404423321220
610012145045200
7643505112261
oct141735567400
936831371620
1013144354560
115635711147
12266a026800
1313162750bc
148c99c4968
1551de68890
hex30f76ef00

13144354560 has 216 divisors, whose sum is σ = 45616683840. Its totient is φ = 3494486016.

The previous prime is 13144354549. The next prime is 13144354583. The reversal of 13144354560 is 6545344131.

13144354560 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 43 + 54 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4226286 + ... + 4229394.

Almost surely, 213144354560 is an apocalyptic number.

13144354560 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 13144354560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22808341920).

13144354560 is an abundant number, since it is smaller than the sum of its proper divisors (32472329280).

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

13144354560 is a wasteful number, since it uses less digits than its factorization.

13144354560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3503 (or 3486 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 13144354560 its reverse (6545344131), we get a palindrome (19689698691).

The spelling of 13144354560 in words is "thirteen billion, one hundred forty-four million, three hundred fifty-four thousand, five hundred sixty".