221209814414400
221,209,814,414,400 is an even composite number composed of five prime numbers multiplied together.
What does the number 221209814414400 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 168 divisors.
221209814414400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred sixty-eight divisors.
Prime factorization of 221209814414400:
26 × 3 × 52 × 7 × 6583625429
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 6583625429)See below for interesting mathematical facts about the number 221209814414400 from the Numbermatics database.
Names of 221209814414400
- Cardinal: 221209814414400 can be written as Two hundred twenty-one trillion, two hundred nine billion, eight hundred fourteen million, four hundred fourteen thousand, four hundred.
Scientific notation
- Scientific notation: 2.212098144144 × 1014
Factors of 221209814414400
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 11
- Sum of prime factors: 6583625446
Divisors of 221209814414400
- Number of divisors d(n): 168
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 50 56 60 64 70 75 80 84 96 100 105 112 120 140 150 160 168 175 192 200 210 224 240 280 300 320 336 350 400 420 448 480 525 560 600 672 700 800 840 960 1050 1120 1200 1344 1400 1600 1680 2100 2240 2400 2800 3360 4200 4800 5600 6720 8400 11200 16800 33600 6583625429 13167250858 19750876287 26334501716 32918127145 39501752574 46085378003 52669003432 65836254290 79003505148 92170756006 98754381435 105338006864 131672508580 138256134009 158007010296 164590635725 184341512012 197508762870 210676013728 230426890015 263345017160 276512268018 316014020592 329181271450 368683024024 395017525740 421352027456 460853780030 493771907175 526690034320 553024536036 632028041184 658362542900 691280670045 737366048048 790035051480 921707560060 987543814350 1053380068640 1106049072072 1152134450075 1264056082368 1316725085800 1382561340090 1474732096096 1580070102960 1843415120120 1975087628700 2106760137280 2212098144144 2304268900150 2633450171600 2765122680180 2949464192192 3160140205920 3456403350225 3686830240240 3950175257400 4424196288288 4608537800300 5266900343200 5530245360360 6320280411840 6912806700450 7373660480480 7900350514800 8848392576576 9217075600600 10533800686400 11060490720720 13825613400900 14747320960960 15800701029600 18434151201200 22120981441440 27651226801800 31601402059200 36868302402400 44241962882880 55302453603600 73736604804800 110604907207200 221209814414400
- Sum of all divisors σ(n): 829431466173120
- Sum of proper divisors (its aliquot sum) s(n): 608221651758720
- 221209814414400 is an abundant number, because the sum of its proper divisors (608221651758720) is greater than itself. Its abundance is 387011837344320
Bases of 221209814414400
- Binary: 1100100100110000011011000110100010110100010000002
- Hexadecimal: 0xC9306C68B440
- Base-36: 26EUDW18AO
Squares and roots of 221209814414400
- 221209814414400 squared (2212098144144002) is 48933781993253290014927360000
- 221209814414400 cubed (2212098144144003) is 10824632833322268797094301911296937984000000
-
The
square root of 221209814414400 is 14873123.8956178941 -
The
cube root of 221209814414400 is 60478.5630323149
Scales and comparisons
How big is 221209814414400?- 221,209,814,414,400 seconds is equal to 7,033,787 years, 44 weeks, 1 day, 22 hours, 40 minutes.
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To count from 1 to 221,209,814,414,400 would take you about seventeen million, five hundred eighty-four thousand, four hundred sixty-nine years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 221209814414400 cubic inches would be around 5039.9 feet tall.
Recreational maths with 221209814414400
- 221209814414400 backwards is 004414418902122
- 221209814414400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 221209814414400's digits is 42
- More coming soon!
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