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14444287300000 = 2555144442873
BaseRepresentation
bin1101001000110001001010…
…0111010001000110100000
31220010212020012212021012201
43102030102213101012200
53343123400022100000
650415340341502544
73020364622162225
oct322142247210640
956125205767181
1014444287300000
114669873689a68
121753496711a54
1380a12393853c
1437d17037b94c
151a0ae08a496a
hexd23129d11a0

14444287300000 has 72 divisors (see below), whose sum is σ = 35544213548172. Its totient is φ = 5777714880000.

The previous prime is 14444287299983. The next prime is 14444287300073. The reversal of 14444287300000 is 378244441.

It can be written as a sum of positive squares in 6 ways, for example, as 5674705322896 + 8769581977104 = 2382164^2 + 2961348^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 72121437 + ... + 72321436.

Almost surely, 214444287300000 is an apocalyptic number.

14444287300000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14444287300000 is an abundant number, since it is smaller than the sum of its proper divisors (21099926248172).

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

14444287300000 is an frugal number, since it uses more digits than its factorization.

14444287300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144442908 (or 144442880 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 37.

The spelling of 14444287300000 in words is "fourteen trillion, four hundred forty-four billion, two hundred eighty-seven million, three hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 3125 4000 5000 6250 10000 12500 20000 25000 50000 100000 144442873 288885746 577771492 722214365 1155542984 1444428730 2311085968 2888857460 3611071825 4622171936 5777714920 7222143650 11555429840 14444287300 18055359125 23110859680 28888574600 36110718250 57777149200 72221436500 90276795625 115554298400 144442873000 180553591250 288885746000 361107182500 451383978125 577771492000 722214365000 902767956250 1444428730000 1805535912500 2888857460000 3611071825000 7222143650000 14444287300000