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14215705780000 = 25542068134369
BaseRepresentation
bin1100111011011101101000…
…0101111101111100100000
31212100000012222101221002111
43032313122011331330200
53330402231134430000
650122334410325104
72665023304260454
oct316673205757440
955300188357074
1014215705780000
11459093534585a
121717123129794
137c16c60a336a
143720883b4664
15199bb30ebcba
hexcedda17df20

14215705780000 has 120 divisors (see below), whose sum is σ = 34975477249020. Its totient is φ = 5685841920000.

The previous prime is 14215705779997. The next prime is 14215705780009. The reversal of 14215705780000 is 8750751241.

It can be written as a sum of positive squares in 10 ways, for example, as 536685177744 + 13679020602256 = 732588^2 + 3698516^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (14215705780009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 413602816 + ... + 413637184.

Almost surely, 214215705780000 is an apocalyptic number.

14215705780000 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 14215705780000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17487738624510).

14215705780000 is an abundant number, since it is smaller than the sum of its proper divisors (20759771469020).

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

14215705780000 is an equidigital number, since it uses as much as digits as its factorization.

14215705780000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55080 (or 55057 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 40.

The spelling of 14215705780000 in words is "fourteen trillion, two hundred fifteen billion, seven hundred five million, seven hundred eighty 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 4000 5000 10000 20000 20681 34369 41362 68738 82724 103405 137476 165448 171845 206810 274952 330896 343690 413620 517025 549904 661792 687380 827240 859225 1034050 1099808 1374760 1654480 1718450 2068100 2585125 2749520 3308960 3436900 4136200 4296125 5170250 5499040 6873800 8272400 8592250 10340500 12925625 13747600 16544800 17184500 20681000 21480625 25851250 27495200 34369000 41362000 42961250 51702500 68738000 82724000 85922500 103405000 137476000 171845000 206810000 343690000 413620000 687380000 710785289 1421570578 2843141156 3553926445 5686282312 7107852890 11372564624 14215705780 17769632225 22745129248 28431411560 35539264450 56862823120 71078528900 88848161125 113725646240 142157057800 177696322250 284314115600 355392644500 444240805625 568628231200 710785289000 888481611250 1421570578000 1776963222500 2843141156000 3553926445000 7107852890000 14215705780000