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14411202010000 = 245410301139901
BaseRepresentation
bin1101000110110101111010…
…0100111001101110010000
31220000200211110001101121121
43101231132210321232100
53342103120203310000
650352225333132024
73015114006642625
oct321553644715620
956020743041547
1014411202010000
114656835920994
121748ba248a014
13806c802c8a73
1437b71228834c
1519ed05e8ab1a
hexd1b5e939b90

14411202010000 has 100 divisors (see below), whose sum is σ = 34894597751244. Its totient is φ = 5763880000000.

The previous prime is 14411202009989. The next prime is 14411202010001. The reversal of 14411202010000 is 1020211441.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 2142687019264 + 12268514990736 = 1463792^2 + 3502644^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (14411202010001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 102940050 + ... + 103079950.

Almost surely, 214411202010000 is an apocalyptic number.

14411202010000 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 14411202010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17447298875622).

14411202010000 is an abundant number, since it is smaller than the sum of its proper divisors (20483395741244).

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

14411202010000 is a wasteful number, since it uses less digits than its factorization.

14411202010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150230 (or 150209 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 14411202010000 its reverse (1020211441), we get a palindrome (14412222221441).

The spelling of 14411202010000 in words is "fourteen trillion, four hundred eleven billion, two hundred two million, ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 10301 20602 41204 51505 82408 103010 139901 164816 206020 257525 279802 412040 515050 559604 699505 824080 1030100 1119208 1287625 1399010 2060200 2238416 2575250 2798020 3497525 4120400 5150500 5596040 6438125 6995050 10301000 11192080 12876250 13990100 17487625 20602000 25752500 27980200 34975250 51505000 55960400 69950500 87438125 103010000 139901000 174876250 279802000 349752500 699505000 1399010000 1441120201 2882240402 5764480804 7205601005 11528961608 14411202010 23057923216 28822404020 36028005025 57644808040 72056010050 115289616080 144112020100 180140025125 288224040200 360280050250 576448080400 720560100500 900700125625 1441120201000 1801400251250 2882240402000 3602800502500 7205601005000 14411202010000