2829828085472000
2,829,828,085,472,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 2829828085472000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1728 divisors.
2829828085472000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 2829828085472000:
28 × 53 × 17 × 19 × 61 × 137 × 1812
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 17 × 19 × 61 × 137 × 181 × 181)See below for interesting mathematical facts about the number 2829828085472000 from the Numbermatics database.
Names of 2829828085472000
- Cardinal: 2829828085472000 can be written as Two quadrillion, eight hundred twenty-nine trillion, eight hundred twenty-eight billion, eighty-five million, four hundred seventy-two thousand.
Scientific notation
- Scientific notation: 2.829828085472 × 1015
Factors of 2829828085472000
Divisors of 2829828085472000
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 4 5 8 10 16 17 19 20 25 32 34 38 40 50 61 64 68 76 80 85 95 100 122 125 128 136 137 152 160 170 181 190 200 244 250 256 272 274 304 305 320 323 340 362 380 400 425 475 488 500 544 548 608 610 640 646 680 685 724 760 800 850 905 950 976 1000 1037 1088 1096 1159 1216 1220 1280 1292 1360 1370 1448 1520 1525 1600 1615 1700 1810 1900 1952 2000 2074 2125 2176 2192 2318 2329 2375 2432 2440 2584 2603 2720 2740 2896 3040 3050 3077 3200 3230 3400 3425 3439 3620 3800 3904 4000 4148 4250 4352 4384 4525 4636 4658 4750 4864 4880 5168 5185 5206 5440 5480 5792 5795 6080 6100 6154 6400 6460 6800 6850 6878 7240 7600 7625 7808 8000 8075 8296 8357 8500 8768 9050 9272 9316 9500 9760 10336 10370 10412 10880 10960 11041 11584 11590 11645 12160 12200 12308 12920 13015 13600 13700 13756 14480 15200 15250 15385 15616 16000 16150 16592 16714 17000 17125 17195 17536 18100 18544 18632 19000 19520 19703 20672 20740 20824 21760 21920 22082 22625 23168 23180 23290 24320 24400 24616 24797 25840 25925 26030 27200 27400 27512 28960 28975 30400 30500 30770 32000 32300 32761 33184 33428 34000 34250 34390 35072 36200 37088 37264 38000 39040 39406 40375 41344 41480 41648 41785 43840 44164 44251 45250 46336 46360 46580 48800 49232 49594 51680 51850 52060 54400 54800 55024 55205 57920 57950 58225 58463 60800 61000 61540 64600 65075 65522 66368 66856 68000 68500 68780 72400 74176 74528 76000 76925 78080 78812 80750 82688 82960 83296 83570 85975 87680 88328 88502 90500 92720 93160 97600 98464 98515 99188 103360 103700 104120 108800 109600 110048 110410 115840 115900 116450 116926 121600 122000 123080 123985 129200 129625 130150 131044 132736 133712 136000 137000 137560 142069 144800 144875 148352 149056 152000 153850 157624 158783 161500 163805 165920 166592 167140 171950 175360 176656 177004 181000 185440 186320 187697 195200 196928 197030 198376 206720 207400 208240 208925 209779 219200 220096 220820 221255 231680 231800 232900 233852 244000 246160 247970 258400 259250 260300 262088 265472 267424 272000 274000 275120 276025 284138 289600 289750 291125 292315 296704 298112 304000 307700 315248 317566 323000 325375 327610 331840 333184 334280 343900 353312 354008 362000 370880 372640 375394 384625 390400 393856 394060 396752 413440 414800 416480 417850 419558 421549 429875 438400 440192 441640 442510 463600 465800 467704 471143 488000 492320 492575 495940 516800 518500 520600 524176 534848 544000 548000 550240 552050 556937 568276 579200 579500 582250 584630 596224 608000 615400 619925 622459 630496 635132 646000 650750 655220 663680 666368 668560 687800 706624 708016 710345 724000 741760 745280 750788 769250 787712 788120 793504 793915 819025 829600 832960 835700 839116 843098 859750 876800 880384 883280 885020 927200 931600 935408 938485 942286 976000 984640 985150 991880 1033600 1037000 1041200 1044625 1048352 1048895 1069696 1096000 1100480 1104100 1106275 1113874 1136552 1158400 1159000 1164500 1169260 1230800 1239850 1244918 1260992 1270264 1292000 1301500 1310440 1327360 1337120 1375600 1380125 1413248 1416032 1420690 1448000 1461575 1483520 1490560 1501576 1512617 1538500 1576240 1587008 1587830 1638050 1659200 1665920 1671400 1678232 1686196 1719500 1766560 1770040 1854400 1863200 1870816 1876970 1884572 1952000 1969280 1970300 1983760 1998421 2067200 2074000 2082400 2089250 2096704 2097790 2107745 2139392 2192000 2200960 2208200 2212550 2227748 2273104 2318000 2329000 2338520 2355715 2461600 2462875 2479700 2489836 2521984 2540528 2584000 2603000 2620880 2674240 2699311 2751200 2760250 2784685 2826496 2832064 2841380 2896000 2923150 2981120 3003152 3025234 3077000 3099625 3112295 3152480 3174016 3175660 3276100 3318400 3331840 3342800 3356464 3372392 3439000 3533120 3540080 3551725 3566243 3708800 3726400 3741632 3753940 3769144 3938560 3940600 3967520 3969575 3996842 4095125 4148000 4164800 4178500 4193408 4195580 4215490 4384000 4401920 4416400 4425100 4455496 4488257 4546208 4636000 4658000 4677040 4692425 4711430 4923200 4925750 4959400 4979672 5043968 5081056 5168000 5206000 5241760 5244475 5348480 5398622 5502400 5520500 5531375 5569370 5664128 5682760 5792000 5846300 6006304 6050468 6154000 6199250 6224590 6304960 6348032 6351320 6552200 6636800 6685600 6712928 6744784 6878000 7066240 7080160 7103450 7132486 7307875 7417600 7452800 7483264 7507880 7538288 7563085 7881200 7935040 7939150 7993684 8009431 8190250 8296000 8329600 8357000 8386816 8391160 8430980 8832800 8850200 8910992 8976514 9092416 9272000 9316000 9354080 9384850 9422860 9846400 9851500 9918800 9959344 9992105 10162112 10336000 10412000 10483520 10488950 10538725 10581803 10696960 10797244 11004800 11041000 11062750 11138740 11328256 11365520 11692600 11778575 12012608 12100936 12308000 12398500 12449180 12609920 12702640 13104400 13371200 13425856 13489568 13496555 13756000 13923425 14132480 14160320 14206900 14264972 14615750 14905600 14966528 15015760 15076576 15126170 15561475 15762400 15870080 15878300 15987368 16018862 16380500 16592000 16659200 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87610776640 88432127671 91967113600 92781248704 93086450180 97664472320 97715058200 102857956000 103278397280 104037797260 108714102400 109154410240 109513470800 114119776000 114958892000 115976560880 116358062725 121503996800 122080590400 122143822750 125075274496 128150896000 129097996600 130047246575 135892628000 136443012800 136891838500 143624224000 144970701100 148938320288 151879996000 152600738000 156344093120 161372495750 164572729600 165245435648 166460475616 169308848000 170553766000 175221553280 176864255342 181213376375 183934227200 185562497408 186172900360 195430116400 205715912000 206556794560 208075594520 217428204800 219026941600 229917784000 231953121760 232716125450 243007993600 244161180800 244287645500 256301792000 258195993200 260094493150 271785256000 272886025600 273783677000 289941402200 297876640576 303759992000 305201476000 312688186240 322744991500 332920951232 338617696000 341107532000 350443106560 353728510684 362426752750 371124994816 372345800720 390860232800 411431824000 413113589120 416151189040 438053883200 442160638355 459835568000 463906243520 465432250900 488322361600 488575291000 516391986400 520188986300 543570512000 545772051200 547567354000 579882804400 581790313625 595753281152 607519984000 610402952000 625376372480 645489983000 650236232875 665841902464 682215064000 707457021368 724853505500 744691601440 781720465600 822863648000 826227178240 832302378080 876107766400 884321276710 919671136000 927812487040 930864501800 977150582000 1032783972800 1040377972600 1087141024000 1095134708000 1159765608800 1163580627250 1191506562304 1215039968000 1220805904000 1290979966000 1300472465750 1331683804928 1364430128000 1414914042736 1449707011000 1489383202880 1563440931200 1664604756160 1752215532800 1768642553420 1855624974080 1861729003600 1954301164000 2065567945600 2080755945200 2190269416000 2210803191775 2319531217600 2327161254500 2441611808000 2581959932000 2600944931500 2728860256000 2829828085472 2899414022000 2978766405760 3126881862400 3329209512320 3537285106840 3723458007200 3908602328000 4131135891200 4161511890400 4380538832000 4421606383550 4639062435200 4654322509000 5163919864000 5201889863000 5659656170944 5798828044000 5957532811520 6658419024640 7074570213680 7446916014400 7817204656000 8323023780800 8761077664000 8843212767100 9278124870400 9308645018000 10327839728000 10403779726000 11054015958875 11319312341888 11597656088000 14149140427360 14893832028800 15634409312000 16646047561600 17686425534200 18617290036000 20655679456000 20807559452000 22108031917750 22638624683776 23195312176000 28298280854720 29787664057600 33292095123200 35372851068400 37234580072000 41615118904000 44216063835500 46390624352000 56596561709440 70745702136800 74469160144000 83230237808000 88432127671000 113193123418880 141491404273600 148938320288000 166460475616000 176864255342000 282982808547200 353728510684000 565965617094400 707457021368000 1414914042736000 2829828085472000
- Sum of all divisors σ(n): 8088759472510080
- Sum of proper divisors (its aliquot sum) s(n): 5258931387038080
- 2829828085472000 is an abundant number, because the sum of its proper divisors (5258931387038080) is greater than itself. Its abundance is 2429103301566080
Bases of 2829828085472000
- Binary: 10100000110110110110101100011100111101011011000000002
- Hexadecimal: 0xA0DB6B1CF5B00
- Base-36: RV392Q3DVK
Squares and roots of 2829828085472000
- 2829828085472000 squared (28298280854720002) is 8007926993326124937462784000000
- 2829828085472000 cubed (28298280854720003) is 22661056712123617453100985775971074048000000000
-
The
square root of 2829828085472000 is 53196128.4819863559 -
The
cube root of 2829828085472000 is 141444.7017287109
Scales and comparisons
How big is 2829828085472000?- 2,829,828,085,472,000 seconds is equal to 89,979,779 years, 46 weeks, 3 hours, 33 minutes, 20 seconds.
-
To count from 1 to 2,829,828,085,472,000 would take you about two hundred sixty-nine million, nine hundred thirty-nine thousand, three hundred thirty-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 2829828085472000 cubic inches would be around 11787.1 feet tall.
Recreational maths with 2829828085472000
- 2829828085472000 backwards is 0002745808289282
- The number of decimal digits it has is: 16
- The sum of 2829828085472000's digits is 65
- More coming soon!
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"Number 2829828085472000 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
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The information we have on file for 2829828085472000 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!
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