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14240001500 = 2253236591879
BaseRepresentation
bin11010100001100010…
…10010110111011100
31100202102002000201222
431100301102313130
5213130420022000
610313004352512
71012611005234
oct152061226734
940672060658
1014240001500
11604812298a
122914b45738
13145c2605ba
1499130ccc4
1558523ea85
hex350c52ddc

14240001500 has 96 divisors (see below), whose sum is σ = 32518886400. Its totient is φ = 5437185600.

The previous prime is 14240001487. The next prime is 14240001509. The reversal of 14240001500 is 510004241.

14240001500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14240001509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7577561 + ... + 7579439.

It is an arithmetic number, because the mean of its divisors is an integer number (338738400).

Almost surely, 214240001500 is an apocalyptic number.

14240001500 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 14240001500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16259443200).

14240001500 is an abundant number, since it is smaller than the sum of its proper divisors (18278884900).

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

14240001500 is a wasteful number, since it uses less digits than its factorization.

14240001500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2580 (or 2568 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

Adding to 14240001500 its reverse (510004241), we get a palindrome (14750005741).

The spelling of 14240001500 in words is "fourteen billion, two hundred forty million, one thousand, five hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 125 230 250 460 500 575 659 1150 1318 1879 2300 2636 2875 3295 3758 5750 6590 7516 9395 11500 13180 15157 16475 18790 30314 32950 37580 43217 46975 60628 65900 75785 82375 86434 93950 151570 164750 172868 187900 216085 234875 303140 329500 378925 432170 469750 757850 864340 939500 1080425 1238261 1515700 1894625 2160850 2476522 3789250 4321700 4953044 5402125 6191305 7578500 10804250 12382610 21608500 24765220 28480003 30956525 56960006 61913050 113920012 123826100 142400015 154782625 284800030 309565250 569600060 619130500 712000075 1424000150 2848000300 3560000375 7120000750 14240001500