3980123728403200
3,980,123,728,403,200 is an even composite number composed of six prime numbers multiplied together.
What does the number 3980123728403200 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 648 divisors.
3980123728403200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred forty-eight divisors.
Prime factorization of 3980123728403200:
28 × 52 × 7 × 97 × 373 × 15672
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 97 × 373 × 1567 × 1567)See below for interesting mathematical facts about the number 3980123728403200 from the Numbermatics database.
Names of 3980123728403200
- Cardinal: 3980123728403200 can be written as Three quadrillion, nine hundred eighty trillion, one hundred twenty-three billion, seven hundred twenty-eight million, four hundred three thousand, two hundred.
Scientific notation
- Scientific notation: 3.9801237284032 × 1015
Factors of 3980123728403200
Divisors of 3980123728403200
- Number of divisors d(n): 648
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 97 100 112 128 140 160 175 194 200 224 256 280 320 350 373 388 400 448 485 560 640 679 700 746 776 800 896 970 1120 1280 1358 1400 1492 1552 1567 1600 1792 1865 1940 2240 2425 2611 2716 2800 2984 3104 3134 3200 3395 3730 3880 4480 4850 5222 5432 5600 5968 6208 6268 6400 6790 7460 7760 7835 8960 9325 9700 10444 10864 10969 11200 11936 12416 12536 13055 13580 14920 15520 15670 16975 18650 19400 20888 21728 21938 22400 23872 24832 25072 26110 27160 29840 31040 31340 33950 36181 37300 38800 39175 41776 43456 43876 44800 47744 50144 52220 54320 54845 59680 62080 62680 65275 67900 72362 74600 77600 78350 83552 86912 87752 95488 100288 104440 108640 109690 119360 124160 125360 130550 135800 144724 149200 151999 155200 156700 167104 173824 175504 180905 200576 208880 217280 219380 238720 250720 253267 261100 271600 274225 289448 298400 303998 310400 313400 334208 351008 361810 401152 417760 434560 438760 477440 501440 506534 522200 543200 548450 578896 584491 596800 607996 620800 626800 668416 702016 723620 759995 835520 869120 877520 904525 1002880 1013068 1044400 1063993 1086400 1096900 1157792 1168982 1193600 1215992 1253600 1266335 1404032 1447240 1519990 1671040 1755040 1809050 2005760 2026136 2088800 2127986 2172800 2193800 2315584 2337964 2387200 2431984 2455489 2507200 2532670 2808064 2894480 2922455 3039980 3342080 3510080 3618100 3799975 4052272 4091437 4177600 4255972 4345600 4387600 4631168 4675928 4863968 4910978 5014400 5065340 5319965 5788960 5844910 6079960 6331675 7020160 7236200 7599950 8104544 8182874 8355200 8511944 8775200 9262336 9351856 9727936 9821956 10028800 10130680 10639930 11577920 11689820 12159920 12277445 12663350 14040320 14472400 14612275 15199900 16209088 16365748 16710400 17023888 17188423 17550400 18703712 19455872 19643912 20261360 20457185 21279860 23155840 23379640 24319840 24554890 25326700 26599825 28944800 29224550 30399800 32418176 32731496 34047776 34376846 35100800 37407424 38911744 39287824 40522720 40914370 42559720 46311680 46759280 48639680 49109780 50653400 53199650 56695627 57889600 58449100 60799600 61387225 64836352 65462992 68095552 68753692 70201600 74814848 78575648 81045440 81828740 85119440 85942115 93518560 97279360 98219560 101306800 102285925 106399300 113391254 115779200 116898200 121599200 122774450 130925984 136191104 137507384 149629696 157151296 162090880 163657480 170238880 171884230 187037120 194558720 196439120 202613600 204571850 212798600 226782508 231558400 233796400 238182433 243198400 245548900 261851968 272382208 275014768 283478135 314302592 324181760 327314960 340477760 343768460 374074240 392878240 396869389 405227200 409143700 425597200 429710575 453565016 467592800 476364866 486396800 491097800 523703936 550029536 566956270 628605184 654629920 680955520 687536920 748148480 785756480 793738778 810454400 818287400 851194400 859421150 907130032 915897397 935185600 952729732 972793600 982195600 1047407872 1100059072 1133912540 1190912165 1309259840 1361911040 1375073840 1417390675 1571512960 1587477556 1620908800 1636574800 1667277031 1702388800 1718842300 1814260064 1831794794 1870371200 1905459464 1964391200 1984346945 2200118144 2267825080 2381824330 2618519680 2750147680 2834781350 3143025920 3174955112 3273149600 3334554062 3404777600 3437684600 3628520128 3663589588 3740742400 3810918928 3928782400 3968693890 4400236288 4535650160 4579486985 4763648660 5237039360 5500295360 5669562700 5954560825 6349910224 6411281779 6546299200 6669108124 6809555200 6875369200 7257040256 7327179176 7621837856 7857564800 7937387780 8336385155 9071300320 9158973970 9527297320 9921734725 11000590720 11339125400 11909121650 12699820448 12822563558 13092598400 13338216248 13750738400 14514080512 14654358352 15243675712 15715129600 15874775560 16672770310 18142600640 18317947940 19054594640 19843469450 22001181440 22678250800 22897434925 23818243300 25399640896 25645127116 26185196800 26676432496 27501476800 29308716704 30487351424 31749551120 32056408895 33345540620 36285201280 36635895880 38109189280 39686938900 41681925775 45356501600 45794869850 47636486600 50799281792 51290254232 53352864992 55002953600 58617433408 60974702848 63499102240 64112817790 66691081240 72570402560 73271791760 76218378560 79373877800 83363851550 88842047509 90713003200 91589739700 95272973200 101598563584 102580508464 106705729984 110005907200 117234866816 126998204480 128225635580 133382162480 146543583520 152436757120 158747755600 160282044475 166727703100 177684095018 181426006400 183179479400 190545946400 205161016928 213411459968 234469733632 253996408960 256451271160 266764324960 293087167040 304873514240 317495511200 320564088950 333455406200 355368190036 362852012800 366358958800 381091892800 410322033856 426822919936 444210237545 507992817920 512902542320 533528649920 586174334080 621894332563 634991022400 641128177900 666910812400 710736380072 732717917600 762183785600 820644067712 888420475090 1025805084640 1067057299840 1172348668160 1243788665126 1269982044800 1282256355800 1333821624800 1421472760144 1465435835200 1524367571200 1641288135424 1776840950180 2051610169280 2134114599680 2221051187725 2487577330252 2539964089600 2564512711600 2667643249600 2842945520288 2930871670400 3109471662815 3553681900360 4103220338560 4442102375450 4975154660504 5129025423200 5335286499200 5685891040576 5861743340800 6218943325630 7107363800720 8206440677120 8884204750900 9950309321008 10258050846400 10670572998400 11371782081152 12437886651260 14214727601440 15547358314075 17768409501800 19900618642016 20516101692800 22743564162304 24875773302520 28429455202880 31094716628150 35536819003600 39801237284032 41032203385600 49751546605040 56858910405760 62189433256300 71073638007200 79602474568064 99503093210080 113717820811520 124378866512600 142147276014400 159204949136128 199006186420160 248757733025200 284294552028800 398012372840320 497515466050400 568589104057600 796024745680640 995030932100800 1990061864201600 3980123728403200
- Sum of all divisors σ(n): 11412623505367392
- Sum of proper divisors (its aliquot sum) s(n): 7432499776964192
- 3980123728403200 is an abundant number, because the sum of its proper divisors (7432499776964192) is greater than itself. Its abundance is 3452376048560992
Bases of 3980123728403200
- Binary: 11100010001111100110110001001111111001011011000000002
- Hexadecimal: 0xE23E6C4FE5B00
- Base-36: 136U3LK53WG
Squares and roots of 3980123728403200
- 3980123728403200 squared (39801237284032002) is 15841384893398189758421770240000
- 3980123728403200 cubed (39801237284032003) is 63050671904982131998759225674583912480768000000
-
The
square root of 3980123728403200 is 63088221.7882482403 -
The
cube root of 3980123728403200 is 158476.7383643447
Scales and comparisons
How big is 3980123728403200?- 3,980,123,728,403,200 seconds is equal to 126,555,623 years, 12 weeks, 12 hours, 26 minutes, 40 seconds.
-
To count from 1 to 3,980,123,728,403,200 would take you about three hundred seventy-nine million, six hundred sixty-six thousand, eight hundred sixty-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 3980123728403200 cubic inches would be around 13206.4 feet tall.
Recreational maths with 3980123728403200
- 3980123728403200 backwards is 0023048273210893
- The number of decimal digits it has is: 16
- The sum of 3980123728403200's digits is 52
- More coming soon!
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The information we have on file for 3980123728403200 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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