421431791971344000
421,431,791,971,344,000 is an even composite number composed of eight prime numbers multiplied together.
What does the number 421431791971344000 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 3072 divisors.
421431791971344000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of three thousand and seventy-two divisors.
Prime factorization of 421431791971344000:
27 × 3 × 53 × 7 × 112 × 307 × 439 × 76913
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 11 × 11 × 307 × 439 × 76913)See below for interesting mathematical facts about the number 421431791971344000 from the Numbermatics database.
Names of 421431791971344000
- Cardinal: 421431791971344000 can be written as Four hundred twenty-one quadrillion, four hundred thirty-one trillion, seven hundred ninety-one billion, nine hundred seventy-one million, three hundred forty-four thousand.
Scientific notation
- Scientific notation: 4.21431791971344 × 1017
Factors of 421431791971344000
Divisors of 421431791971344000
- Number of divisors d(n): 3072
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 25 28 30 32 33 35 40 42 44 48 50 55 56 60 64 66 70 75 77 80 84 88 96 100 105 110 112 120 121 125 128 132 140 150 154 160 165 168 175 176 192 200 210 220 224 231 240 242 250 264 275 280 300 307 308 320 330 336 350 352 363 375 384 385 400 420 439 440 448 462 480 484 500 525 528 550 560 600 605 614 616 640 660 672 700 704 726 750 770 800 825 840 847 875 878 880 896 921 924 960 968 1000 1050 1056 1100 1120 1155 1200 1210 1228 1232 1317 1320 1344 1375 1400 1408 1452 1500 1535 1540 1600 1650 1680 1694 1750 1756 1760 1815 1842 1848 1920 1925 1936 2000 2100 2112 2149 2195 2200 2240 2310 2400 2420 2456 2464 2541 2625 2634 2640 2688 2750 2800 2904 3000 3025 3070 3073 3080 3200 3300 3360 3377 3388 3500 3512 3520 3630 3684 3696 3850 3872 4000 4125 4200 4224 4235 4298 4390 4400 4480 4605 4620 4800 4829 4840 4912 4928 5082 5250 5268 5280 5500 5600 5775 5808 6000 6050 6140 6146 6160 6447 6585 6600 6720 6754 6776 7000 7024 7040 7260 7368 7392 7675 7700 7744 8000 8250 8400 8470 8596 8780 8800 9075 9210 9219 9240 9600 9625 9658 9680 9824 9856 10131 10164 10500 10536 10560 10745 10975 11000 11200 11550 11616 12000 12100 12280 12292 12320 12705 12894 13170 13200 13440 13508 13552 14000 14048 14487 14520 14736 14784 15125 15350 15365 15400 15488 16000 16500 16800 16885 16940 17192 17560 17600 18150 18420 18438 18480 19250 19316 19360 19648 20262 20328 21000 21072 21120 21175 21490 21950 22000 22400 23025 23100 23232 23639 24000 24145 24200 24560 24584 24640 25410 25788 26340 26400 27016 27104 28000 28096 28875 28974 29040 29472 29568 30250 30700 30730 30800 32235 32925 33000 33600 33770 33803 33880 34384 35120 35200 36300 36840 36876 36960 37147 38375 38500 38632 38720 39296 40524 40656 42000 42144 42350 42980 43900 44000 45375 46050 46095 46200 46464 47278 48000 48290 48400 49120 49168 49280 50655 50820 51576 52680 52800 53119 53725 54032 54208 54875 56000 56192 57750 57948 58080 58944 60500 61400 61460 61600 63525 64470 65850 66000 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57197583058000 58048456194400 59862470450475 59998831431000 60204541710192 62194774494000 62397363336000 62713064281450 63853301813840 63998753526400 65368666352000 68414251943400 68570093064000 68637099669600 69658147433280 70238631995224 72560570243000 72975202072960 75255677137740 76623962176608 79816627267300 79998441908000 80272722280256 82926365992000 85517814929250 85796374587000 87072684291600 87271027536000 87798289994030 91219002591200 91516132892800 94069596422175 95779952720760 95998130289600 98052999528000 99511639190400 99770784084125 100340902850320 102165282902144 105357947992836 108840855364500 109462803109440 114023753239000 114395166116000 116096912388800 119724940900950 119997662862000 120409083420384 124389548988000 124794726672000 125426128562900 127706603627680 131697434991045 136828503886800 137140186128000 137274199339200 139316294866560 140477263990448 145121140486000 150511354275480 153247924353216 156782660703625 159633254534600 159996883816000 160545444560512 165852731984000 171035629858500 171592749174000 174145368583200 175596579988060 182438005182400 188139192844350 191559905441520 191996260579200 196105999056000 199541568168250 200681805700640 210715895985672 217681710729000 218925606218880 219495724985075 228047506478000 228790332232000 232193824777600 239449881801900 239995325724000 240818166840768 248779097976000 250852257125800 255413207255360 263394869982090 273657007773600 274548398678400 280954527980896 290242280972000 299312352252375 301022708550960 306495848706432 313565321407250 319266509069200 319993767632000 342071259717000 343185498348000 348290737166400 351193159976120 364876010364800 376278385688700 383119810883040 399083136336500 401363611401280 421431791971344 435363421458000 438991449970150 456095012956000 457580664464000 470347982110875 478899763603800 479990651448000 481636333681536 497558195952000 501704514251600 510826414510720 526789739964180 547314015547200 561909055961792 580484561944000 598624704504750 602045417101920 627130642814500 638533018138400 658487174955225 684142519434000 686370996696000 696581474332800 702386319952240 752556771377400 766239621766080 798166272673000 802727222802560 842863583942688 870726842916000 877982899940300 912190025912000 940695964221750 957799527207600 959981302896000 1003409028503200 1053579479928360 1094628031094400 1097478624925375 1123818111923584 1160969123888000 1197249409009500 1204090834203840 1254261285629000 1277066036276800 1316974349910450 1368285038868000 1372741993392000 1404772639904480 1505113542754800 1532479243532160 1596332545346000 1685727167885376 1741453685832000 1755965799880600 1824380051824000 1881391928443500 1915599054415200 2006818057006400 2107158959856720 2194957249850750 2394498818019000 2408181668407680 2508522571258000 2554132072553600 2633948699820900 2736570077736000 2809545279808960 3010227085509600 3192665090692000 3292435874776125 3371454335770752 3482907371664000 3511931599761200 3762783856887000 3831198108830400 4013636114012800 4214317919713440 4389914499701500 4788997636038000 5017045142516000 5267897399641800 5473140155472000 5619090559617920 6020454171019200 6385330181384000 6584871749552250 7023863199522400 7525567713774000 7662396217660800 8428635839426880 8779828999403000 9577995272076000 10034090285032000 10535794799283600 12040908342038400 12770660362768000 13169743499104500 14047726399044800 15051135427548000 16857271678853760 17559657998806000 19155990544152000 20068180570064000 21071589598567200 26339486998209000 28095452798089600 30102270855096000 35119315997612000 38311981088304000 42143179197134400 52678973996418000 60204541710192000 70238631995224000 84286358394268800 105357947992836000 140477263990448000 210715895985672000 421431791971344000
- Sum of all divisors σ(n): 1764717485961830400
- Sum of proper divisors (its aliquot sum) s(n): 1343285693990486400
- 421431791971344000 is an abundant number, because the sum of its proper divisors (1343285693990486400) is greater than itself. Its abundance is 921853902019142400
Bases of 421431791971344000
- Binary: 101110110010011100111111011011000011000001000011110100000002
- Hexadecimal: 0x5D939FB61821E80
- Base-36: 379L3OIDBGQO
Squares and roots of 421431791971344000
- 421431791971344000 squared (4214317919713440002) is 177604755284178165137717166336000000
- 421431791971344000 cubed (4214317919713440003) is 74848290282043231513836662697956130993475584000000000
-
The
square root of 421431791971344000 is 649177781.4831188445 -
The
cube root of 421431791971344000 is 749737.2661772395
Scales and comparisons
How big is 421431791971344000?- 421,431,791,971,344,000 seconds is equal to 13,400,227,410 years, 29 weeks, 3 days, 2 hours, 40 minutes.
-
To count from 1 to 421,431,791,971,344,000 would take you about forty billion, two hundred million, six hundred eighty-two thousand, two hundred thirty-one 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 421431791971344000 cubic inches would be around 62478.1 feet tall.
Recreational maths with 421431791971344000
- 421431791971344000 backwards is 000443179197134124
- 421431791971344000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 421431791971344000's digits is 60
- More coming soon!
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Cite this page
MLA style:
"Number 421431791971344000 - Facts about the integer". Numbermatics.com. 2024. Web. 19 June 2024.
APA style:
Numbermatics. (2024). Number 421431791971344000 - Facts about the integer. Retrieved 19 June 2024, from https://numbermatics.com/n/421431791971344000/
Chicago style:
Numbermatics. 2024. "Number 421431791971344000 - Facts about the integer". https://numbermatics.com/n/421431791971344000/
The information we have on file for 421431791971344000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 421431791971344000, math, Factors of 421431791971344000, curriculum, school, college, exams, university, Prime factorization of 421431791971344000, STEM, science, technology, engineering, physics, economics, calculator, four hundred twenty-one quadrillion, four hundred thirty-one trillion, seven hundred ninety-one billion, nine hundred seventy-one million, three hundred forty-four thousand.