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14005131520 = 28561179369
BaseRepresentation
bin11010000101100010…
…10101100100000000
31100011001010101200211
431002301111210000
5212140303202040
610233414323504
71004026440142
oct150261254400
940131111624
1014005131520
115a37593666
12286a359594
1314226b7793
1496c050c92
1556e7e88ea
hex342c55900

14005131520 has 72 divisors (see below), whose sum is σ = 34096802040. Its totient is φ = 5510184960.

The previous prime is 14005131499. The next prime is 14005131529. The reversal of 14005131520 is 2513150041.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 28217344 + 13976914176 = 5312^2 + 118224^2 .

It is a super-2 number, since 2×140051315202 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14005131491 and 14005131500.

It is not an unprimeable number, because it can be changed into a prime (14005131529) 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, 11605 + ... + 167764.

It is an arithmetic number, because the mean of its divisors is an integer number (473566695).

Almost surely, 214005131520 is an apocalyptic number.

14005131520 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 14005131520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17048401020).

14005131520 is an abundant number, since it is smaller than the sum of its proper divisors (20091670520).

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

14005131520 is an equidigital number, since it uses as much as digits as its factorization.

14005131520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179451 (or 179437 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

Adding to 14005131520 its reverse (2513150041), we get a palindrome (16518281561).

The spelling of 14005131520 in words is "fourteen billion, five million, one hundred thirty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 64 80 122 128 160 244 256 305 320 488 610 640 976 1220 1280 1952 2440 3904 4880 7808 9760 15616 19520 39040 78080 179369 358738 717476 896845 1434952 1793690 2869904 3587380 5739808 7174760 10941509 11479616 14349520 21883018 22959232 28699040 43766036 45918464 54707545 57398080 87532072 109415090 114796160 175064144 218830180 229592320 350128288 437660360 700256576 875320720 1400513152 1750641440 2801026304 3501282880 7002565760 14005131520