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14032440100 = 22527107187349
BaseRepresentation
bin11010001000110011…
…00000101100100100
31100012221111211000201
431010121200230210
5212214301040400
610240231520244
71004510526040
oct150431405444
940187454021
1014032440100
115a50a45a38
122877529084
1314282596c3
1497191d020
15571de006a
hex344660b24

14032440100 has 72 divisors (see below), whose sum is σ = 35125876800. Its totient is φ = 4766133120.

The previous prime is 14032440073. The next prime is 14032440119. The reversal of 14032440100 is 104423041.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18775 + ... + 168574.

It is an arithmetic number, because the mean of its divisors is an integer number (487859400).

Almost surely, 214032440100 is an apocalyptic number.

14032440100 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 14032440100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17562938400).

14032440100 is an abundant number, since it is smaller than the sum of its proper divisors (21093436700).

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

14032440100 is a wasteful number, since it uses less digits than its factorization.

14032440100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187477 (or 187470 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 14032440100 its reverse (104423041), we get a palindrome (14136863141).

The spelling of 14032440100 in words is "fourteen billion, thirty-two million, four hundred forty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 107 140 175 214 350 428 535 700 749 1070 1498 2140 2675 2996 3745 5350 7490 10700 14980 18725 37450 74900 187349 374698 749396 936745 1311443 1873490 2622886 3746980 4683725 5245772 6557215 9367450 13114430 18734900 20046343 26228860 32786075 40092686 65572150 80185372 100231715 131144300 140324401 200463430 280648802 400926860 501158575 561297604 701622005 1002317150 1403244010 2004634300 2806488020 3508110025 7016220050 14032440100