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14120024004 = 2234353123457
BaseRepresentation
bin11010010011001111…
…00111011111000100
31100110001022112120000
431021213213133010
5212404211232004
610253041041300
71006623136512
oct151147473704
940401275500
1014120024004
115a96427029
1228a0926230
1314404439b8
1497d3db4b2
15579940c39
hex3499e77c4

14120024004 has 60 divisors (see below), whose sum is σ = 37017399804. Its totient is φ = 4693303296.

The previous prime is 14120024003. The next prime is 14120024011. The reversal of 14120024004 is 40042002141.

It can be written as a sum of positive squares in 2 ways, for example, as 11046430404 + 3073593600 = 105102^2 + 55440^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (14120024003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 52644 + ... + 176100.

Almost surely, 214120024004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14120024004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18508699902).

14120024004 is an abundant number, since it is smaller than the sum of its proper divisors (22897375800).

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

14120024004 is a wasteful number, since it uses less digits than its factorization.

14120024004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123826 (or 123815 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 14120024004 its reverse (40042002141), we get a palindrome (54162026145).

The spelling of 14120024004 in words is "fourteen billion, one hundred twenty million, twenty-four thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 353 706 1059 1412 2118 3177 4236 6354 9531 12708 19062 28593 38124 57186 114372 123457 246914 370371 493828 740742 1111113 1481484 2222226 3333339 4444452 6666678 10000017 13333356 20000034 40000068 43580321 87160642 130740963 174321284 261481926 392222889 522963852 784445778 1176668667 1568891556 2353337334 3530006001 4706674668 7060012002 14120024004