3972380331248000
3,972,380,331,248,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 3972380331248000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1536 divisors.
3972380331248000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 3972380331248000:
27 × 53 × 72 × 29 × 31 × 43 × 131071
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 29 × 31 × 43 × 131071)See below for interesting mathematical facts about the number 3972380331248000 from the Numbermatics database.
Names of 3972380331248000
- Cardinal: 3972380331248000 can be written as Three quadrillion, nine hundred seventy-two trillion, three hundred eighty billion, three hundred thirty-one million, two hundred forty-eight thousand.
Scientific notation
- Scientific notation: 3.972380331248 × 1015
Factors of 3972380331248000
Divisors of 3972380331248000
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 29 31 32 35 40 43 49 50 56 58 62 64 70 80 86 98 100 112 116 124 125 128 140 145 155 160 172 175 196 200 203 215 217 224 232 245 248 250 280 290 301 310 320 344 350 392 400 406 430 434 448 464 490 496 500 560 580 602 620 640 688 700 725 775 784 800 812 860 868 875 896 899 928 980 992 1000 1015 1075 1085 1120 1160 1204 1225 1240 1247 1333 1376 1400 1421 1450 1505 1519 1550 1568 1600 1624 1720 1736 1750 1798 1856 1960 1984 2000 2030 2107 2150 2170 2240 2320 2408 2450 2480 2494 2666 2752 2800 2842 2900 3010 3038 3100 3136 3200 3248 3440 3472 3500 3596 3625 3712 3875 3920 3968 4000 4060 4214 4300 4340 4480 4495 4640 4816 4900 4960 4988 5075 5332 5375 5425 5504 5600 5684 5800 6020 6076 6125 6200 6235 6272 6293 6496 6665 6880 6944 7000 7105 7192 7250 7525 7595 7750 7840 8000 8120 8428 8600 8680 8729 8990 9280 9331 9632 9800 9920 9976 10150 10535 10664 10750 10850 11200 11368 11600 12040 12152 12250 12400 12470 12586 12992 13330 13760 13888 14000 14210 14384 14500 15050 15190 15500 15680 16000 16240 16856 17200 17360 17458 17980 18560 18662 19264 19600 19840 19952 20300 21070 21328 21500 21700 22400 22475 22736 23200 24080 24304 24500 24800 24940 25172 25375 25984 26660 27125 27520 27776 28000 28420 28768 29000 30100 30380 31000 31175 31360 31465 32480 33325 33712 34400 34720 34916 35525 35960 37324 37625 37975 38528 38657 39200 39904 40600 42140 42656 43000 43400 43645 44051 44950 45472 46400 46655 48160 48608 49000 49600 49880 50344 50750 52675 53320 54250 56000 56840 57536 58000 60200 60760 61103 62000 62350 62930 64960 65317 66650 67424 68800 69440 69832 71050 71920 74648 75250 75950 77314 78400 79808 81200 84280 85312 86000 86800 87290 88102 89900 90944 92800 93310 96320 97216 98000 99200 99760 100688 101500 105350 106640 108500 112000 112375 113680 115072 116000 120400 121520 122206 124000 124700 125860 129920 130634 131071 133300 134848 137600 138880 139664 142100 143840 149296 150500 151900 154628 155875 156800 157325 159616 162400 166625 168560 170624 172000 173600 174580 176204 177625 179800 181888 186620 189875 192640 193285 194432 196000 199520 201376 203000 210700 213280 217000 218225 220255 224750 227360 232000 233275 240800 243040 244412 248000 249400 251720 261268 262142 263375 266600 269696 270599 279328 284200 287680 298592 301000 303800 305515 309256 311750 314650 324800 326585 333250 337120 344000 347200 349160 352408 355250 359600 373240 379750 386570 392000 399040 402752 406000 421400 426560 434000 436450 440510 449500 454720 464000 466550 481600 486080 488824 496000 498800 503440 522536 524284 526750 533200 541198 558656 568400 575360 597184 602000 607600 611030 618512 623500 629300 649600 653170 655355 666500 674240 688000 694400 698320 704816 710500 719200 746480 759500 773140 784000 786625 798080 805504 812000 842800 853120 868000 872900 881020 899000 909440 917497 933100 963200 966425 972160 977648 997600 1006880 1045072 1048568 1053500 1066400 1082396 1091125 1101275 1117312 1136800 1166375 1194368 1204000 1215200 1222060 1237024 1247000 1258600 1306340 1310710 1333000 1348480 1352995 1396640 1409632 1421000 1438400 1492960 1519000 1527575 1546280 1573250 1624000 1632925 1685600 1736000 1745800 1762040 1798000 1834994 1866200 1894193 1932850 1955296 1995200 2013760 2090144 2097136 2107000 2132800 2164792 2182250 2202550 2273600 2332750 2408000 2430400 2444120 2474048 2494000 2517200 2612680 2621420 2666000 2705990 2793280 2819264 2842000 2876800 2985920 3038000 3055150 3092560 3146500 3248000 3265850 3276775 3371200 3472000 3491600 3524080 3596000 3669988 3732400 3788386 3801059 3865700 3910592 3990400 4027520 4063201 4180288 4194272 4214000 4265600 4329584 4364500 4405100 4547200 4587485 4665500 4816000 4832125 4860800 4888240 4948096 4988000 5034400 5225360 5242840 5332000 5411980 5506375 5586560 5636053 5638528 5684000 5971840 6076000 6110300 6185120 6293000 6422479 6531700 6553550 6742400 6764975 6983200 7048160 7192000 7339976 7464800 7576772 7602118 7637875 7731400 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59600605120 60816944000 61151175050 63123793600 63710991680 64070650504 65011216000 65378214800 65986384240 68489316056 69041649250 69887057200 70935363058 73223600576 74500756400 75413010560 78273504064 78904742000 79638739600 80088313130 81068986352 81722768500 82482980300 85143721600 85611645070 87358821500 88373311040 90176848000 91015702400 91529500720 92380937936 93125945500 94266263200 97841880080 99548424500 101336232940 102759664000 103103725375 104605143680 105578214784 106429652000 110466638800 111819291520 113769628000 114411875900 115476172420 117832829000 119201210240 122302350100 126247587200 126670291175 127421983360 128141301008 130756429600 131972768480 136978632112 138083298500 139774114400 141870726116 143014844875 144345215525 146447201152 149001512800 152877937625 156547008128 157809484000 159277479200 160176626260 162137972704 163445537000 164965960600 171223290140 174717643000 176746622080 177338407645 183059001440 184761875872 186251891000 188532526400 195683760160 199096849000 200220782825 202672465880 206207450750 212859304000 214029112675 220933277600 227539256000 228823751800 230952344840 235665658000 244604700200 248273770703 253340582350 256282602016 261512859200 263945536960 273957264224 276166597000 279548228800 283741452232 286029689750 288690431050 298003025600 305755875250 315618968000 318554958400 320353252520 324275945408 326891074000 329931921200 342446580280 349435286000 354676815290 366118002880 369523751744 372503782000 377065052800 391367520320 398193698000 400441565650 405344931760 412414901500 425718608000 428058225350 441866555200 455078512000 457647503600 461904689680 471331316000 489209400400 496547541406 506681164700 512565204032 523025718400 527891073920 547914528448 552333194000 559096457600 567482904464 572059379500 577380862100 596006051200 611511750500 631237936000 633351455875 637109916800 640706505040 648551890816 653782148000 659863842400 684893160560 698870572000 709353630580 721726077625 732236005760 739047503488 745007564000 782735040640 796387396000 800883131300 810689863520 824829803000 856116450700 883733110400 886692038225 915295007200 923809379360 942662632000 978418800800 993095082812 1001103914125 1013362329400 1025130408064 1070145563375 1095829056896 1104666388000 1134965808928 1144118759000 1154761724200 1223023501000 1241368853515 1266702911750 1281413010080 1307564296000 1319727684800 1369786321120 1397741144000 1418707261160 1443452155250 1490015128000 1592774792000 1601766262600 1621379727040 1649659606000 1712232901400 1773384076450 1830590014400 1847618758720 1885325264000 1956837601600 1986190165624 2002207828250 2026724658800 2140291126750 2209332776000 2269931617856 2288237518000 2309523448400 2446047002000 2482737707030 2533405823500 2562826020160 2615128592000 2639455369600 2739572642240 2795482288000 2837414522320 2886904310500 2980030256000 3185549584000 3203532525200 3242759454080 3299319212000 3424465802800 3546768152900 3661180028800 3695237517440 3913675203200 3972380331248 4004415656500 4053449317600 4280582253500 4418665552000 4433460191125 4539863235712 4576475036000 4619046896800 4892094004000 4965475414060 5066811647000 5125652040320 5479145284480 5674829044640 5773808621000 6206844267575 6407065050400 6598638424000 6848931605600 7093536305800 7944760662496 8008831313000 8106898635200 8561164507000 8866920382250 9152950072000 9238093793600 9784188008000 9930950828120 10133623294000 11349658089280 11547617242000 12413688535150 12814130100800 13197276848000 13697863211200 14187072611600 15889521324992 16017662626000 16213797270400 17122329014000 17733840764500 18305900144000 18476187587200 19568376016000 19861901656240 20267246588000 22699316178560 23095234484000 24827377070300 25628260201600 27395726422400 28374145223200 31034221337875 31779042649984 32035325252000 34244658028000 35467681529000 39723803312480 40534493176000 46190468968000 49654754140600 56748290446400 62068442675750 64070650504000 68489316056000 70935363058000 79447606624960 81068986352000 92380937936000 99309508281200 113496580892800 124136885351500 128141301008000 136978632112000 141870726116000 158895213249920 198619016562400 248273770703000 283741452232000 397238033124800 496547541406000 567482904464000 794476066249600 993095082812000 1986190165624000 3972380331248000
- Sum of all divisors σ(n): 12553749843148800
- Sum of proper divisors (its aliquot sum) s(n): 8581369511900800
- 3972380331248000 is an abundant number, because the sum of its proper divisors (8581369511900800) is greater than itself. Its abundance is 4608989180652800
Bases of 3972380331248000
- Binary: 11100001110011011011110111101000111010001001100000002
- Hexadecimal: 0xE1CDBDE8E8980
- Base-36: 1343ABXEJY8
Squares and roots of 3972380331248000
- 3972380331248000 squared (39723803312480002) is 15779805496085970205237504000000
- 3972380331248000 cubed (39723803312480003) is 62683388983570997291366814684032724992000000000
-
The
square root of 3972380331248000 is 63026822.3159632251 -
The
cube root of 3972380331248000 is 158373.8985966565
Scales and comparisons
How big is 3972380331248000?- 3,972,380,331,248,000 seconds is equal to 126,309,407 years, 8 weeks, 6 hours, 13 minutes, 20 seconds.
-
To count from 1 to 3,972,380,331,248,000 would take you about three hundred seventy-eight million, nine hundred twenty-eight thousand, two hundred twenty-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 3972380331248000 cubic inches would be around 13197.8 feet tall.
Recreational maths with 3972380331248000
- 3972380331248000 backwards is 0008421330832793
- The number of decimal digits it has is: 16
- The sum of 3972380331248000's digits is 53
- More coming soon!
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Numbermatics. (2024). Number 3972380331248000 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/3972380331248000/
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The information we have on file for 3972380331248000 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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