47920637485181306880
47,920,637,485,181,306,880 is an even composite number composed of five prime numbers multiplied together.
47920637485181306880 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 47920637485181306880:
211 × 34 × 5 × 23 × 2511942970699
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 23 × 2511942970699)See below for interesting mathematical facts about the number 47920637485181306880 from the Numbermatics database.
Names of 47920637485181306880
- Cardinal: 47920637485181306880 can be written as Forty-seven quintillion, nine hundred twenty quadrillion, six hundred thirty-seven trillion, four hundred eighty-five billion, one hundred eighty-one million, three hundred six thousand, eight hundred eighty.
Scientific notation
- Scientific notation: 4.792063748518130688 × 1019
Factors of 47920637485181306880
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 18
- Sum of prime factors: 2511942970732
Divisors of 47920637485181306880
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 27 30 32 36 40 45 46 48 54 60 64 69 72 80 81 90 92 96 108 115 120 128 135 138 144 160 162 180 184 192 207 216 230 240 256 270 276 288 320 324 345 360 368 384 405 414 432 460 480 512 540 552 576 621 640 648 690 720 736 768 810 828 864 920 960 1024 1035 1080 1104 1152 1242 1280 1296 1380 1440 1472 1536 1620 1656 1728 1840 1863 1920 2048 2070 2160 2208 2304 2484 2560 2592 2760 2880 2944 3072 3105 3240 3312 3456 3680 3726 3840 4140 4320 4416 4608 4968 5120 5184 5520 5760 5888 6144 6210 6480 6624 6912 7360 7452 7680 8280 8640 8832 9216 9315 9936 10240 10368 11040 11520 11776 12420 12960 13248 13824 14720 14904 15360 16560 17280 17664 18432 18630 19872 20736 22080 23040 23552 24840 25920 26496 27648 29440 29808 30720 33120 34560 35328 37260 39744 41472 44160 46080 47104 49680 51840 52992 55296 58880 59616 66240 69120 70656 74520 79488 82944 88320 92160 99360 103680 105984 117760 119232 132480 138240 141312 149040 158976 165888 176640 198720 207360 211968 235520 238464 264960 276480 298080 317952 353280 397440 414720 423936 476928 529920 596160 635904 706560 794880 829440 953856 1059840 1192320 1271808 1589760 1907712 2119680 2384640 3179520 3815424 4769280 6359040 9538560 19077120 2511942970699 5023885941398 7535828912097 10047771882796 12559714853495 15071657824194 20095543765592 22607486736291 25119429706990 30143315648388 37679144560485 40191087531184 45214973472582 50238859413980 57774688326077 60286631296776 67822460208873 75358289120970 80382175062368 90429946945164 100477718827960 113037433681455 115549376652154 120573262593552 135644920417746 150716578241940 160764350124736 173324064978231 180859893890328 200955437655920 203467380626619 226074867362910 231098753304308 241146525187104 271289840835492 288873441630385 301433156483880 321528700249472 339112301044365 346648129956462 361719787780656 401910875311840 406934761253238 452149734725820 462197506608616 482293050374208 519972194934693 542579681670984 577746883260770 602866312967760 643057400498944 678224602088730 693296259912924 723439575561312 803821750623680 813869522506476 866620324891155 904299469451640 924395013217232 964586100748416 1017336903133095 1039944389869386 1085159363341968 1155493766521540 1205732625935520 1286114800997888 1356449204177460 1386592519825848 1446879151122624 1559916584804079 1607643501247360 1627739045012952 1733240649782310 1808598938903280 1848790026434464 1929172201496832 2034673806266190 2079888779738772 2170318726683936 2310987533043080 2411465251871040 2572229601995776 2599860974673465 2712898408354920 2773185039651696 2893758302245248 3119833169608158 3215287002494720 3255478090025904 3466481299564620 3617197877806560 3697580052868928 3858344402993664 4069347612532380 4159777559477544 4340637453367872 4621975066086160 4679749754412237 4822930503742080 5144459203991552 5199721949346930 5425796816709840 5546370079303392 5787516604490496 6239666339216316 6430574004989440 6510956180051808 6932962599129240 7234395755613120 7395160105737856 7716688805987328 7799582924020395 8138695225064760 8319555118955088 8681274906735744 9243950132172320 9359499508824474 9645861007484160 10399443898693860 10851593633419680 11092740158606784 11575033208980992 12479332678432632 12861148009978880 13021912360103616 13865925198258480 14468791511226240 14790320211475712 15433377611974656 15599165848040790 16277390450129520 16639110237910176 17362549813471488 18487900264344640 18718999017648948 19291722014968320 20798887797387720 21703187266839360 22185480317213568 23150066417961984 23398748772061185 24958665356865264 25722296019957760 26043824720207232 27731850396516960 28937583022452480 29580640422951424 31198331696081580 32554780900259040 33278220475820352 34725099626942976 36975800528689280 37437998035297896 38583444029936640 41597775594775440 43406374533678720 44370960634427136 46300132835923968 46797497544122370 49917330713730528 52087649440414464 55463700793033920 57875166044904960 59161280845902848 62396663392163160 65109561800518080 66556440951640704 69450199253885952 73951601057378560 74875996070595792 77166888059873280 83195551189550880 86812749067357440 88741921268854272 93594995088244740 99834661427461056 104175298880828928 110927401586067840 115750332089809920 118322561691805696 124793326784326320 130219123601036160 133112881903281408 138900398507771904 147903202114757120 149751992141191584 166391102379101760 173625498134714880 177483842537708544 187189990176489480 199669322854922112 208350597761657856 221854803172135680 231500664179619840 249586653568652640 260438247202072320 266225763806562816 295806404229514240 299503984282383168 332782204758203520 347250996269429760 354967685075417088 374379980352978960 399338645709844224 416701195523315712 443709606344271360 499173307137305280 520876494404144640 532451527613125632 591612808459028480 599007968564766336 665564409516407040 694501992538859520 748759960705957920 798677291419688448 887419212688542720 998346614274610560 1041752988808289280 1064903055226251264 1198015937129532672 1331128819032814080 1497519921411915840 1597354582839376896 1774838425377085440 1996693228549221120 2083505977616578560 2396031874259065344 2662257638065628160 2995039842823831680 3194709165678753792 3993386457098442240 4792063748518130688 5324515276131256320 5990079685647663360 7986772914196884480 9584127497036261376 11980159371295326720 15973545828393768960 23960318742590653440 47920637485181306880
- Sum of all divisors σ(n): 179230346246447496000
- Sum of proper divisors (its aliquot sum) s(n): 131309708761266189120
- 47920637485181306880 is an abundant number, because the sum of its proper divisors (131309708761266189120) is greater than itself. Its abundance is 83389071276084882240
Bases of 47920637485181306880
- Binary: 1010011001000010000100110111100101111110101000000000001000000000002
- Hexadecimal: 0x299084DE5FA800800
- Base-36: A42TS9FWIGW00
Squares and roots of 47920637485181306880
- 47920637485181306880 squared (479206374851813068802) is 2296387496986163807765065665784735334400
- 47920637485181306880 cubed (479206374851813068803) is 110044352768576836745086510580445273835311203099105820672000
-
The
square root of 47920637485181306880 is 6922473364.7144722603 -
The
cube root of 47920637485181306880 is 3632237.1466086129
Scales and comparisons
How big is 47920637485181306880?- 47,920,637,485,181,306,880 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 47,920,637,485,181,306,880 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 47920637485181306880 cubic inches would be around 302686.4 feet tall.
Recreational maths with 47920637485181306880
- 47920637485181306880 backwards is 08860318158473602974
- 47920637485181306880 is a
Harshad number . - The number of decimal digits it has is: 20
- The sum of 47920637485181306880's digits is 90
- More coming soon!
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The information we have on file for 47920637485181306880 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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