42820163990083200
42,820,163,990,083,200 is an even composite number composed of seven prime numbers multiplied together.
What does the number 42820163990083200 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2592 divisors.
42820163990083200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, five hundred ninety-two divisors.
Prime factorization of 42820163990083200:
27 × 3 × 52 × 72 × 23 × 532 × 11872
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 7 × 23 × 53 × 53 × 1187 × 1187)See below for interesting mathematical facts about the number 42820163990083200 from the Numbermatics database.
Names of 42820163990083200
- Cardinal: 42820163990083200 can be written as Forty-two quadrillion, eight hundred twenty trillion, one hundred sixty-three billion, nine hundred ninety million, eighty-three thousand, two hundred.
Scientific notation
- Scientific notation: 4.28201639900832 × 1016
Factors of 42820163990083200
Divisors of 42820163990083200
- Number of divisors d(n): 2592
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 23 24 25 28 30 32 35 40 42 46 48 49 50 53 56 60 64 69 70 75 80 84 92 96 98 100 105 106 112 115 120 128 138 140 147 150 159 160 161 168 175 184 192 196 200 210 212 224 230 240 245 265 276 280 294 300 318 320 322 336 345 350 368 371 384 392 400 420 424 448 460 480 483 490 525 530 552 560 575 588 600 636 640 644 672 690 700 735 736 742 784 795 800 805 840 848 896 920 960 966 980 1050 1060 1104 1113 1120 1127 1150 1176 1187 1200 1219 1225 1272 1288 1325 1344 1380 1400 1470 1472 1484 1568 1590 1600 1610 1680 1696 1725 1840 1855 1920 1932 1960 2100 2120 2208 2226 2240 2254 2300 2352 2374 2400 2415 2438 2450 2544 2576 2597 2650 2688 2760 2800 2809 2940 2944 2968 3136 3180 3200 3220 3360 3381 3392 3450 3561 3657 3675 3680 3710 3864 3920 3975 4025 4200 4240 4416 4452 4480 4508 4600 4704 4748 4800 4830 4876 4900 5088 5152 5194 5300 5520 5565 5600 5618 5635 5880 5935 5936 6095 6272 6360 6440 6720 6762 6784 6900 7122 7314 7350 7360 7420 7728 7791 7840 7950 8050 8309 8400 8427 8480 8533 8832 8904 9016 9200 9275 9408 9496 9600 9660 9752 9800 10176 10304 10388 10600 11040 11130 11200 11236 11270 11760 11870 11872 12075 12190 12720 12880 12985 13440 13524 13800 14045 14244 14628 14700 14720 14840 15456 15582 15680 15900 16100 16618 16800 16854 16905 16960 17066 17805 17808 18032 18285 18400 18550 18816 18992 19320 19504 19600 19663 20352 20608 20776 21200 22080 22260 22400 22472 22540 23520 23740 23744 24150 24380 24927 25440 25599 25760 25970 27048 27301 27600 27825 28090 28175 28488 29256 29400 29675 29680 30475 30912 31164 31360 31800 32200 33236 33600 33708 33810 33920 34132 35610 35616 36064 36570 36800 37100 37984 38640 38955 39008 39200 39326 41545 41552 42135 42400 42665 44160 44520 44944 45080 47040 47480 47488 48300 48760 49854 50880 51198 51520 51940 54096 54602 55200 55650 56180 56350 56976 58163 58512 58800 58989 59350 59360 59731 60950 61824 62328 62911 63600 64400 64607 64925 66472 67200 67416 67620 68264 70225 71220 71232 72128 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831136723410 836363998400 841591273390 858911300800 878182198320 886545838304 901704935775 901856865840 910292601830 949870541040 952744837800 961818598160 969659510645 1003636798080 1009909528068 1016261160320 1030519926600 1030693560960 1088851243200 1092351122196 1097727747900 1099221255040 1108182297880 1127321082300 1154182317792 1163591412774 1170909597760 1187338176300 1202273247700 1202475821120 1254545997600 1262386910085 1266494054720 1270326450400 1274409642562 1288366951200 1329818757456 1346546037424 1365438902745 1374026568800 1385227872350 1405091517312 1442727897240 1442970985344 1456468162928 1463636997200 1503094776400 1519792865664 1524391740480 1538909757056 1551455217032 1568446723200 1583117568400 1648831882560 1662273446820 1672727996800 1683182546780 1717822601600 1756364396640 1773091676608 1803409871550 1803713731680 1820585203660 1899741082080 1905489675600 1911614463843 1923637196320 1939319021290 2019819056136 2061039853200 2077841808525 2103978183475 2177702486400 2184702244392 2195455495800 2216364595760 2254642164600 2275731504575 2308364635584 2327182825548 2341819195520 2374676352600 2404546495400 2404951642240 2509091995200 2524773820170 2532988109440 2540652900800 2548819285124 2576733902400 2659637514912 2693092074848 2730877805490 2748053137600 2770455744700 2885455794480 2908978531935 2912936325856 2927273994400 3006189552800 3048783480960 3102910434064 3166235136800 3186024106405 3297663765120 3324546893640 3366365093560 3512728793280 3546183353216 3606819743100 3607427463360 3641170407320 3799482164160 3810979351200 3823228927686 3847274392640 3878638042580 4039638112272 4122079706400 4155683617050 4207956366950 4369404488784 4390910991600 4432729191520 4460433748967 4509284329200 4551463009150 4616729271168 4654365651096 4749352705200 4809092990800 4848297553225 5018183990400 5049547640340 5081305801600 5097638570248 5153467804800 5319275029824 5386184149696 5461755610980 5496106275200 5540911489400 5770911588960 5817957063870 5825872651712 5854547988800 6012379105600 6205820868128 6311934550425 6332470273600 6372048212810 6649093787280 6732730187120 6827194513725 7025457586560 7213639486200 7214854926720 7282340814640 7598964328320 7621958702400 7646457855372 7694548785280 7757276085160 8079276224544 8244159412800 8311367234100 8415912733900 8738808977568 8781821983200 8865458383040 8920867497934 9018568658400 9102926018300 9308731302192 9498705410400 9558072319215 9618185981600 9696595106450 10099095280680 10195277140496 10638550059648 10772368299392 10923511221960 11081822978800 11541823177920 11635914127740 11651745303424 11709095977600 12024758211200 12411641736256 12623869100850 12664940547200 12744096425620 13298187574560 13381301246901 13465460374240 13654389027450 14427278972400 14544892659675 14564681629280 15243917404800 15292915710744 15514552170320 15930120532025 16158552449088 16488318825600 16622734468200 16831825467800 17477617955136 17563643966400 17730916766080 17841734995868 18037137316800 18205852036600 18617462604384 18997410820800 19116144638430 19236371963200 19393190212900 20198190561360 20390554280992 21847022443920 22163645957600 22302168744835 23083646355840 23271828255480 24823283472512 25247738201700 25488192851240 26596375149120 26762602493802 26930920748480 27308778054900 28854557944800 29089785319350 29129363258560 30585831421488 31029104340640 31860241064050 32317104898176 33245468936400 33663650935600 34955235910272 35127287932800 35683469991736 36074274633600 36411704073200 37234925208768 37994821641600 38232289276860 38472743926400 38786380425800 40396381122720 40781108561984 43694044887840 44327291915200 44604337489670 46543656510960 47790361596075 50495476403400 50976385702480 53192750298240 53525204987604 53861841496960 54617556109800 57709115889600 58179570638700 58258726517120 61171662842976 62058208681280 63720482128100 66490937872800 66906506234505 67327301871200 71366939983472 72823408146400 74469850417536 76464578553720 77572760851600 80792762245440 81562217123968 87388089775680 88654583830400 89208674979340 93087313021920 95580723192150 100990952806800 101952771404960 107050409975208 109235112219600 111510843724175 115418231779200 116359141277400 122343325685952 124116417362560 127440964256200 132981875745600 133813012469010 134654603742400 142733879966944 145646816292800 152929157107440 155145521703200 161585524490880 174776179551360 178417349958680 186174626043840 191161446384300 201981905613600 203905542809920 214100819950416 218470224439200 223021687448350 232718282554800 244686651371904 254881928512400 265963751491200 267626024938020 269309207484800 285467759933888 291293632585600 305858314214880 310291043406400 334532531172525 356834699917360 372349252087680 382322892768600 403963811227200 407811085619840 428201639900832 436940448878400 446043374896700 465436565109600 509763857024800 535252049876040 570935519867776 611716628429760 620582086812800 669065062345050 713669399834720 764645785537200 807927622454400 856403279801664 873880897756800 892086749793400 930873130219200 1019527714049600 1070504099752080 1223433256859520 1338130124690100 1427338799669440 1529291571074400 1712806559603328 1784173499586800 1861746260438400 2039055428099200 2141008199504160 2676260249380200 2854677599338880 3058583142148800 3568346999173600 4282016399008320 5352520498760400 6117166284297600 7136693998347200 8564032798016640 10705040997520800 14273387996694400 21410081995041600 42820163990083200
- Sum of all divisors σ(n): 174637207627414560
- Sum of proper divisors (its aliquot sum) s(n): 131817043637331360
- 42820163990083200 is an abundant number, because the sum of its proper divisors (131817043637331360) is greater than itself. Its abundance is 88996879647248160
Bases of 42820163990083200
- Binary: 100110000010000010110110010101111101101001010110100000002
- Hexadecimal: 0x9820B657DA5680
- Base-36: BPMHBRRTO5C
Squares and roots of 42820163990083200
- 42820163990083200 squared (428201639900832002) is 1833566444137617995387942922240000
- 42820163990083200 cubed (428201639900832003) is 78513615824686529418639029416292894988730368000000
-
The
square root of 42820163990083200 is 206930336.0797618769 -
The
cube root of 42820163990083200 is 349850.7227088831
Scales and comparisons
How big is 42820163990083200?- 42,820,163,990,083,200 seconds is equal to 1,361,548,763 years, 21 weeks, 6 days, 5 hours, 20 minutes.
-
To count from 1 to 42,820,163,990,083,200 would take you about four billion, eighty-four million, six hundred forty-six thousand, two hundred ninety 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 42820163990083200 cubic inches would be around 29154.2 feet tall.
Recreational maths with 42820163990083200
- 42820163990083200 backwards is 00238009936102824
- The number of decimal digits it has is: 17
- The sum of 42820163990083200's digits is 57
- More coming soon!
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"Number 42820163990083200 - Facts about the integer". Numbermatics.com. 2024. Web. 2 May 2024.
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Numbermatics. (2024). Number 42820163990083200 - Facts about the integer. Retrieved 2 May 2024, from https://numbermatics.com/n/42820163990083200/
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The information we have on file for 42820163990083200 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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