480008968974000
480,008,968,974,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 480008968974000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2400 divisors.
480008968974000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, four hundred divisors.
Prime factorization of 480008968974000:
24 × 34 × 53 × 192 × 137 × 181 × 331
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 19 × 19 × 137 × 181 × 331)See below for interesting mathematical facts about the number 480008968974000 from the Numbermatics database.
Names of 480008968974000
- Cardinal: 480008968974000 can be written as Four hundred eighty trillion, eight billion, nine hundred sixty-eight million, nine hundred seventy-four thousand.
Scientific notation
- Scientific notation: 4.80008968974 × 1014
Factors of 480008968974000
Divisors of 480008968974000
- Number of divisors d(n): 2400
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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 27 30 36 38 40 45 48 50 54 57 60 72 75 76 80 81 90 95 100 108 114 120 125 135 137 144 150 152 162 171 180 181 190 200 216 225 228 240 250 270 274 285 300 304 324 331 342 360 361 362 375 380 400 405 411 432 450 456 475 500 513 540 543 548 570 600 648 662 675 684 685 720 722 724 750 760 810 822 855 900 905 912 950 993 1000 1026 1080 1083 1086 1096 1125 1140 1200 1233 1296 1324 1350 1368 1370 1425 1444 1448 1500 1520 1539 1620 1629 1644 1655 1710 1800 1805 1810 1900 1986 2000 2025 2052 2055 2160 2166 2172 2192 2250 2280 2375 2466 2565 2603 2648 2700 2715 2736 2740 2850 2888 2896 2979 3000 3078 3240 3249 3258 3288 3310 3375 3420 3425 3439 3600 3610 3620 3699 3800 3972 4050 4104 4110 4275 4332 4344 4500 4525 4560 4750 4887 4932 4965 5130 5206 5296 5400 5415 5430 5480 5700 5776 5958 6000 6156 6165 6289 6480 6498 6516 6576 6620 6750 6840 6850 6878 7125 7220 7240 7398 7600 7695 7809 7944 8100 8145 8208 8220 8275 8550 8664 8688 8937 9000 9025 9050 9500 9747 9774 9864 9930 10125 10260 10275 10317 10412 10800 10830 10860 10960 11097 11400 11916 12312 12330 12578 12825 12996 13015 13032 13240 13500 13575 13680 13700 13756 14250 14440 14480 14661 14796 14895 15390 15618 15888 16200 16245 16290 16440 16550 17100 17125 17195 17328 17874 18000 18050 18100 18495 18867 19000 19494 19548 19728 19860 20250 20520 20550 20634 20824 21375 21660 21720 22194 22625 22800 23427 23832 24435 24624 24660 24797 24825 25156 25650 25992 26030 26064 26480 26811 27000 27075 27150 27400 27512 28500 28880 29241 29322 29592 29790 30780 30825 30951 31236 31445 32400 32490 32580 32880 33100 34200 34250 34390 35748 36100 36200 36990 37734 38000 38475 38988 39045 39096 39720 40500 40725 41040 41100 41268 41375 41648 42750 43320 43440 44388 44685 45125 45250 45347 46854 47664 48735 48870 49320 49457 49594 49650 50312 51300 51375 51585 51984 52060 53622 54000 54150 54300 54800 55024 55485 56601 57000 58482 58644 59184 59580 59911 61560 61650 61902 62472 62890 64125 64980 65075 65160 65341 66200 67875 68400 68500 68780 70281 71496 72200 72400 73305 73980 74391 74475 75468 76950 77976 78090 78192 79440 81000 81225 81450 82200 82536 82750 85500 85975 86640 88776 89370 90250 90500 90694 92475 92853 93708 94335 97470 97740 98640 98914 99188 99300 100624 102600 102750 103170 104120 107244 108300 108600 110970 113202 114000 116964 117135 117288 119160 119491 119822 122175 123120 123300 123804 123985 124125 124944 125780 128250 129960 130150 130320 130682 132400 134055 135375 135750 136041 137000 137560 140562 142992 144400 146205 146610 147960 148371 148782 148950 150936 153900 154125 154755 155952 156180 157225 162000 162450 162900 164400 165072 165500 169803 171000 171950 177552 178740 179733 180500 181000 181388 184950 185706 187416 188670 192375 194940 195225 195480 196023 197828 198376 198600 203625 205200 205500 206340 208240 210843 214488 216600 217200 221940 223173 223425 226404 226735 233928 234270 234576 238320 238982 239644 243675 244350 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38930167800 38987083250 40282726500 42106049910 43255742000 43796438775 44199720900 44322157800 44445274905 46101514500 46526022000 46716201360 46784499900 47408293232 48339271800 48662709750 49110801000 49246842000 50527259892 53039665080 53186589360 53334329886 53710302000 55249651125 55402697250 56141399880 58007126160 58395251700 58480624875 58932961200 59260366540 60424089750 61468686000 62379333200 63159074865 64883613000 66299581350 66483236700 67369679856 69789033000 70074302040 70176749850 71112439848 72508907700 72994064625 73666201500 73870263000 74075458175 76325166000 77860335600 77974166500 80001494829 80565453000 83104045875 84212099820 87592877550 88399441800 88644315600 88890549810 90636134625 92203029000 93568999800 96678543600 97325419500 98221602000 101054519784 105265124775 106079330160 106668659772 110499302250 110805394500 112282799760 116790503400 116961249750 118520733080 120848179500 126318149730 129767226000 132599162700 132966473400 133335824715 139578066000 140148604080 140353499700 142224879696 145017815400 145988129250 147332403000 147740526000 148150916350 155948333000 160002989658 161130906000 165748953375 166208091750 168424199640 175185755100 175441874625 176798883600 177781099620 181272269250 184406058000 187137999600 194650839000 202109039568 210530249550 213337319544 218982193875 220998604500 221610789000 222226374525 233581006800 233922499500 237041466160 240004484487 241696359000 252636299460 265198325400 265932946800 266671649430 280706999400 290035630800 291976258500 294664806000 296301832700 311896666000 315795374325 320005979316 331497906750 332416183500 336848399280 350371510200 350883749250 355562199240 362544538500 370377290875 389301678000 400007474145 421060499100 426674639088 437964387750 441997209000 443221578000 444452749050 467844999000 480008968974 483392718000 505272598920 526325623875 530396650800 533343298860 561413998800 583952517000 592603665400 631590748650 640011958632 662995813500 664832367000 666679123575 700743020400 701767498500 711124398480 725089077000 740754581750 800014948290 842120998200 875928775500 883994418000 888905498100 935689998000 960017937948 1010545197840 1052651247750 1066686597720 1111131872625 1167905034000 1185207330800 1200022422435 1263181497300 1280023917264 1325991627000 1329664734000 1333358247150 1403534997000 1450178154000 1481509163500 1578976871625 1600029896580 1684241996400 1751857551000 1777810996200 1920035875896 2000037370725 2105302495500 2133373195440 2222263745250 2400044844870 2526362994600 2651983254000 2666716494300 2807069994000 2963018327000 3157953743250 3200059793160 3333395617875 3503715102000 3555621992400 3840071751792 4000074741450 4210604991000 4444527490500 4800089689740 5052725989200 5333432988600 5926036654000 6000112112175 6315907486500 6400119586320 6666791235750 8000149482900 8421209982000 8889054981000 9600179379480 10000186853625 10666865977200 12000224224350 12631814973000 13333582471500 16000298965800 17778109962000 19200358758960 20000373707250 24000448448700 25263629946000 26667164943000 30000560560875 32000597931600 40000747414500 48000896897400 53334329886000 60001121121750 80001494829000 96001793794800 120002242243500 160002989658000 240004484487000 480008968974000
- Sum of all divisors σ(n): 1859024854919232
- Sum of proper divisors (its aliquot sum) s(n): 1379015885945232
- 480008968974000 is an abundant number, because the sum of its proper divisors (1379015885945232) is greater than itself. Its abundance is 899006916971232
Bases of 480008968974000
- Binary: 11011010010010000110011000001010110101110101100002
- Hexadecimal: 0x1B490CC15AEB0
- Base-36: 4Q5D2QNV00
Squares and roots of 480008968974000
- 480008968974000 squared (4800089689740002) is 230408610295482494612676000000
- 480008968974000 cubed (4800089689740003) is 110598199470666713728896116231114424000000000
-
The
square root of 480008968974000 is 21909106.9871412149 -
The
cube root of 480008968974000 is 78297.8404918133
Scales and comparisons
How big is 480008968974000?- 480,008,968,974,000 seconds is equal to 15,262,800 years, 23 weeks, 2 days, 3 hours.
-
To count from 1 to 480,008,968,974,000 would take you about thirty-eight million, one hundred fifty-seven thousand and 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 480008968974000 cubic inches would be around 6524.8 feet tall.
Recreational maths with 480008968974000
- 480008968974000 backwards is 000479869800084
- The number of decimal digits it has is: 15
- The sum of 480008968974000's digits is 63
- More coming soon!
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The information we have on file for 480008968974000 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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