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14135023240 = 23513104925913
BaseRepresentation
bin11010010101000001…
…10101011010001000
31100111002112120122021
431022200311122020
5212422031220430
610254334334224
71010164500202
oct151240653210
940432476567
1014135023240
115aa3941198
1228a595a374
131443595ba0
149813c3772
1557ae0507a
hex34a835688

14135023240 has 64 divisors (see below), whose sum is σ = 34284222000. Its totient is φ = 5213908992.

The previous prime is 14135023223. The next prime is 14135023249. The reversal of 14135023240 is 4232053141.

It can be written as a sum of positive squares in 8 ways, for example, as 7472219364 + 6662803876 = 86442^2 + 81626^2 .

It is not an unprimeable number, because it can be changed into a prime (14135023249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 532524 + ... + 558436.

Almost surely, 214135023240 is an apocalyptic number.

14135023240 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 14135023240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17142111000).

14135023240 is an abundant number, since it is smaller than the sum of its proper divisors (20149198760).

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

14135023240 is a wasteful number, since it uses less digits than its factorization.

14135023240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26986 (or 26982 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 14135023240 its reverse (4232053141), we get a palindrome (18367076381).

The spelling of 14135023240 in words is "fourteen billion, one hundred thirty-five million, twenty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 1049 2098 4196 5245 8392 10490 13637 20980 25913 27274 41960 51826 54548 68185 103652 109096 129565 136370 207304 259130 272740 336869 518260 545480 673738 1036520 1347476 1684345 2694952 3368690 6737380 13474760 27182737 54365474 108730948 135913685 217461896 271827370 353375581 543654740 706751162 1087309480 1413502324 1766877905 2827004648 3533755810 7067511620 14135023240