480345000048000
480,345,000,048,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 480345000048000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2304 divisors.
480345000048000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 480345000048000:
27 × 32 × 53 × 192 × 473 × 89
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 19 × 19 × 47 × 47 × 47 × 89)See below for interesting mathematical facts about the number 480345000048000 from the Numbermatics database.
Names of 480345000048000
- Cardinal: 480345000048000 can be written as Four hundred eighty trillion, three hundred forty-five billion, forty-eight thousand.
Scientific notation
- Scientific notation: 4.80345000048 × 1014
Factors of 480345000048000
Divisors of 480345000048000
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 25 30 32 36 38 40 45 47 48 50 57 60 64 72 75 76 80 89 90 94 95 96 100 114 120 125 128 141 144 150 152 160 171 178 180 188 190 192 200 225 228 235 240 250 267 282 285 288 300 304 320 342 356 360 361 375 376 380 384 400 423 445 450 456 470 475 480 500 534 564 570 576 600 608 640 684 705 712 720 722 750 752 760 800 801 846 855 890 893 900 912 940 950 960 1000 1068 1083 1125 1128 1140 1152 1175 1200 1216 1335 1368 1410 1424 1425 1440 1444 1500 1504 1520 1600 1602 1691 1692 1710 1780 1786 1800 1805 1824 1880 1900 1920 2000 2115 2136 2166 2209 2225 2250 2256 2280 2350 2375 2400 2432 2670 2679 2736 2820 2848 2850 2880 2888 3000 3008 3040 3200 3204 3249 3382 3384 3420 3525 3560 3572 3600 3610 3648 3760 3800 4000 4005 4183 4230 4272 4275 4332 4418 4450 4465 4500 4512 4560 4700 4750 4800 5073 5340 5358 5415 5472 5640 5696 5700 5760 5776 5875 6000 6016 6080 6408 6498 6627 6675 6764 6768 6840 7050 7120 7125 7144 7200 7220 7296 7520 7600 8000 8010 8037 8366 8455 8460 8544 8550 8664 8836 8900 8930 9000 9024 9025 9120 9400 9500 9600 10146 10575 10680 10716 10830 10944 11045 11125 11280 11392 11400 11552 11750 12000 12160 12549 12816 12996 13254 13350 13395 13528 13536 13680 14100 14240 14250 14288 14400 14440 15040 15200 15219 16000 16020 16074 16245 16732 16910 16920 16967 17088 17100 17328 17625 17672 17800 17860 18000 18048 18050 18240 18800 19000 19881 20025 20292 20915 21150 21360 21375 21432 21660 21888 22090 22250 22325 22560 22800 23104 23500 24000 25098 25365 25632 25992 26508 26700 26790 27056 27072 27075 27360 28200 28480 28500 28576 28800 28880 30080 30400 30438 32040 32129 32148 32490 33135 33375 33464 33820 33840 33934 34176 34200 34656 35250 35344 35600 35720 36000 36100 36480 37600 37647 38000 39762 40050 40185 40584 41830 41971 42275 42300 42720 42750 42864 43320 44180 44500 44650 45120 45125 45600 46208 47000 48000 50196 50730 50901 51264 51984 52875 53016 53400 53580 54112 54144 54150 54720 55225 56400 56960 57000 57152 57760 60800 60876 62745 64080 64258 64296 64980 66270 66750 66928 66975 67640 67680 67868 68400 69312 70500 70688 71200 71440 72000 72200 75200 75294 76000 76095 79477 79524 80100 80370 81168 81225 83660 83942 84550 84600 84835 85440 85500 85728 86640 88360 89000 89300 90240 90250 91200 94000 96387 99405 100125 100392 101460 101802 102528 103823 103968 104575 105750 106032 106800 107160 108224 108300 109440 110450 111625 112800 114000 114304 115520 121752 125490 125913 126825 128160 128516 128592 129960 132540 133500 133856 133950 135280 135360 135375 135736 136800 138624 141000 141376 142400 142880 144000 144400 150400 150588 152000 152190 152703 158954 159048 160200 160645 160740 162336 162450 165675 167320 167884 169100 169200 169670 170880 171000 171456 173280 176720 178000 178600 180500 182400 188000 188235 192774 196601 198810 200250 200784 200925 202920 203604 207646 207936 209150 209855 211375 211500 212064 213600 214320 216448 216600 220900 223250 225600 228000 231040 238431 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41581111500 42135526320 42165115875 42583776600 43177078656 43489814400 43891173250 44353185600 44825028000 44976123600 45422695040 47343288000 50035937505 50562631584 51100531920 52669407900 53223822720 53229720750 53371666672 53790033600 53971348320 54362268000 55441482000 56180701760 56220154500 56778368800 56811945600 57416328000 59766704000 59968164800 60043125006 63203289480 63875664900 65836759875 66529778400 66714583340 67237542000 67416842112 67464185400 68134042560 70225877200 70972961000 71014932000 71961797760 72483024000 73921976000 74960206000 79004111850 79844581125 80057500008 81760851072 83162223000 83393229175 84271052640 84330231750 85167553200 87782346500 88706371200 89650056000 89952247200 94686576000 100071875010 101125263168 102201063840 105338815800 106459441500 106743333344 107580067200 107942696640 108724536000 110882964000 112361403520 112440309000 113556737600 114832656000 119936329600 120086250012 126406578960 127751329800 131673519750 133059556800 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600431250060 632032894800 638756649000 640460000064 665297784000 667145833400 674641854000 681340425600 702258772000 750539062575 790041118500 800575000080 833932291750 842710526400 851675532000 899522472000 960690000096 1000718750100 1011252631680 1022010638400 1053388158000 1067433333440 1079426966400 1135567376000 1200862500120 1250898437625 1264065789600 1277513298000 1280920000128 1330595568000 1334291666800 1349283708000 1404517544000 1501078125150 1580082237000 1601150000160 1667864583500 1685421052800 1703351064000 1799044944000 1921380000192 2001437500200 2044021276800 2106776316000 2134866666880 2401725000240 2501796875250 2528131579200 2555026596000 2668583333600 2698567416000 2809035088000 3002156250300 3160164474000 3202300000320 3335729167000 3406702128000 3752695312875 3842760000384 4002875000400 4213552632000 4803450000480 5003593750500 5056263158400 5110053192000 5337166667200 5397134832000 6004312500600 6320328948000 6404600000640 6671458334000 7505390625750 8005750000800 8427105264000 9606900000960 10007187501000 10220106384000 10674333334400 12008625001200 12640657896000 13342916668000 15010781251500 16011500001600 19213800001920 20014375002000 24017250002400 25281315792000 26685833336000 30021562503000 32023000003200 40028750004000 48034500004800 53371666672000 60043125006000 80057500008000 96069000009600 120086250012000 160115000016000 240172500024000 480345000048000
- Sum of all divisors σ(n): 1881088062048000
- Sum of proper divisors (its aliquot sum) s(n): 1400743062000000
- 480345000048000 is an abundant number, because the sum of its proper divisors (1400743062000000) is greater than itself. Its abundance is 920398061952000
Bases of 480345000048000
- Binary: 11011010011011111000010010001100011110101100000002
- Hexadecimal: 0x1B4DF0918F580
- Base-36: 4Q9NG2VZ40
Squares and roots of 480345000048000
- 480345000048000 squared (4803450000480002) is 230731319071113120002304000000
- 480345000048000 cubed (4803450000480003) is 110830635470288934942920144640110592000000000
-
The
square root of 480345000048000 is 21916774.3988023931 -
The
cube root of 480345000048000 is 78316.1070742787
Scales and comparisons
How big is 480345000048000?- 480,345,000,048,000 seconds is equal to 15,273,485 years, 10 weeks, 1 day, 16 hours.
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To count from 1 to 480,345,000,048,000 would take you about thirty-eight million, one hundred eighty-three thousand, seven hundred twelve 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 480345000048000 cubic inches would be around 6526.3 feet tall.
Recreational maths with 480345000048000
- 480345000048000 backwards is 000840000543084
- 480345000048000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 480345000048000's digits is 36
- More coming soon!
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The information we have on file for 480345000048000 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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