106814409245824000
106,814,409,245,824,000 is an even composite number composed of six prime numbers multiplied together.
106814409245824000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, three hundred seventy-six divisors.
Prime factorization of 106814409245824000:
210 × 53 × 72 × 17 × 312 × 10212
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 17 × 31 × 31 × 1021 × 1021)See below for interesting mathematical facts about the number 106814409245824000 from the Numbermatics database.
Names of 106814409245824000
- Cardinal: 106814409245824000 can be written as One hundred six quadrillion, eight hundred fourteen trillion, four hundred nine billion, two hundred forty-five million, eight hundred twenty-four thousand.
Scientific notation
- Scientific notation: 1.06814409245824 × 1017
Factors of 106814409245824000
Divisors of 106814409245824000
- Number of divisors d(n): 2376
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 17 20 25 28 31 32 34 35 40 49 50 56 62 64 68 70 80 85 98 100 112 119 124 125 128 136 140 155 160 170 175 196 200 217 224 238 245 248 250 256 272 280 310 320 340 350 392 400 425 434 448 476 490 496 500 512 527 544 560 595 620 640 680 700 775 784 800 833 850 868 875 896 952 961 980 992 1000 1021 1024 1054 1085 1088 1120 1190 1225 1240 1280 1360 1400 1519 1550 1568 1600 1666 1700 1736 1750 1792 1904 1922 1960 1984 2000 2042 2108 2125 2170 2176 2240 2380 2450 2480 2560 2635 2720 2800 2975 3038 3100 3136 3200 3332 3400 3472 3500 3584 3689 3808 3844 3875 3920 3968 4000 4084 4165 4216 4250 4340 4352 4480 4760 4805 4900 4960 5105 5120 5270 5425 5440 5600 5950 6076 6125 6200 6272 6400 6664 6727 6800 6944 7000 7147 7168 7378 7595 7616 7688 7750 7840 7936 8000 8168 8330 8432 8500 8680 8704 8960 9520 9610 9800 9920 10210 10540 10850 10880 11200 11900 12152 12250 12400 12544 12800 13175 13328 13454 13600 13888 14000 14294 14756 14875 15190 15232 15376 15500 15680 15872 16000 16336 16337 16660 16864 17000 17357 17360 17408 17920 18445 19040 19220 19600 19840 20420 20825 21080 21700 21760 22400 23800 24025 24304 24500 24800 25088 25525 25600 25823 26350 26656 26908 27125 27200 27776 28000 28588 29512 29750 30380 30464 30752 31000 31360 31651 31744 32000 32672 32674 33320 33635 33728 34000 34714 34720 35735 35840 36890 37975 38080 38440 39200 39680 40840 41650 42160 43400 43520 44800 47089 47600 48050 48608 49000 49600 50029 50176 51050 51646 52700 53312 53816 54250 54400 55552 56000 57176 59024 59500 60760 60928 61504 62000 62720 63302 64000 65344 65348 65875 66640 67270 67456 68000 69428 69440 71470 73780 75950 76160 76880 78400 79360 81680 81685 83300 84320 86785 86800 87040 89600 92225 94178 95200 96100 97216 98000 99200 100058 102100 103292 104125 105400 106624 107632 108500 108800 111104 112000 114352 114359 118048 119000 120125 121499 121520 121856 123008 124000 125440 126604 127625 128000 129115 130688 130696 131750 133280 134540 134912 136000 138856 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3927000339920 3937858405376 3969615328000 4007143204000 4053677770240 4136405888000 4172437861165 4184697717760 4257589654250 4307032630880 4359771805952 4394931256000 4445969167360 4488000388480 4768500412760 4908750424900 4922323006720 5067097212800 5129143301120 5230872147200 5383790788600 5449714757440 5557461459200 5610000485600 5790968243200 5960625515950 6135938031125 6152903758400 6153967232000 6283200543872 6333871516000 6411429126400 6538189952000 6538590184000 6675900577864 6729738485750 6812143446800 6891252209408 6946826824000 7012500607000 7031890009600 7180800621568 7238710304000 7472674496000 7629600660416 7691129698000 7854000679840 7939230656000 8014286408000 8107355540480 8344875722330 8515179308500 8614065261760 8719543611904 8789862512000 8976000776960 9537000825520 9817500849800 9844646013440 10134194425600 10461744294400 10767581577200 10899429514880 11114922918400 11220000971200 11921251031900 12271876062250 12305807516800 12566401087744 12667743032000 12822858252800 13077180368000 13351801155728 13459476971500 13624286893600 13782504418816 13893653648000 14025001214000 14063780019200 14477420608000 14901563789875 14945348992000 15259201320832 15382259396000 15708001359680 15878461312000 16028572816000 16689751444660 17030358617000 17228130523520 17439087223808 17579725024000 17952001553920 19074001651040 19635001699600 19689292026880 20268388851200 20862189305825 20923488588800 21535163154400 21798859029760 22229845836800 22440001942400 23842502063800 24543752124500 24611615033600 25132802175488 25335486064000 25645716505600 26154360736000 26703602311456 26918953943000 27248573787200 27565008837632 27787307296000 28050002428000 28954841216000 29803127579750 30518402641664 30764518792000 31416002719360 32057145632000 33379502889320 34060717234000 34456261047040 35159450048000 35904003107840 38148003302080 39270003399200 40536777702400 41724378611650 43070326308800 43597718059520 44880003884800 47685004127600 49087504249000 49223230067200 50265604350976 50670972128000 52308721472000 53407204622912 53837907886000 54497147574400 55574614592000 56100004856000 59606255159500 61036805283328 61529037584000 62832005438720 64114291264000 66759005778640 68121434468000 68912522094080 70318900096000 76296006604160 78540006798400 83448757223300 86140652617600 87195436119040 89760007769600 95370008255200 98175008498000 98446460134400 101341944256000 104310946529125 104617442944000 106814409245824 107675815772000 108994295148800 111149229184000 112200009712000 119212510319000 122073610566656 123058075168000 125664010877440 128228582528000 133518011557280 136242868936000 137825044188160 152592013208320 157080013596800 166897514446600 172281305235200 179520015539200 190740016510400 196350016996000 202683888512000 208621893058250 213628818491648 215351631544000 217988590297600 224400019424000 238425020638000 246116150336000 251328021754880 267036023114560 272485737872000 305184026416640 314160027193600 333795028893200 344562610470400 381480033020800 392700033992000 417243786116500 427257636983296 430703263088000 435977180595200 448800038848000 476850041276000 492232300672000 534072046229120 544971475744000 610368052833280 628320054387200 667590057786400 689125220940800 762960066041600 785400067984000 834487572233000 854515273966592 861406526176000 897600077696000 953700082552000 1068144092458240 1089942951488000 1256640108774400 1335180115572800 1525920132083200 1570800135968000 1668975144466000 1722813052352000 1907400165104000 2136288184916480 2179885902976000 2670360231145600 3051840264166400 3141600271936000 3337950288932000 3445626104704000 3814800330208000 4272576369832960 5340720462291200 6283200543872000 6675900577864000 7629600660416000 10681440924582400 13351801155728000 15259201320832000 21362881849164800 26703602311456000 53407204622912000 106814409245824000
- Sum of all divisors σ(n): 339481493698541688
- Sum of proper divisors (its aliquot sum) s(n): 232667084452717688
- 106814409245824000 is an abundant number, because the sum of its proper divisors (232667084452717688) is greater than itself. Its abundance is 125852675206893688
Bases of 106814409245824000
- Binary: 1011110110111101100100011101001111111110110010100000000002
- Hexadecimal: 0x17B7B23A7FD9400
- Base-36: T7QJQ6UN5Z4
Squares and roots of 106814409245824000
- 106814409245824000 squared (1068144092458240002) is 11409318022534371616461438976000000
- 106814409245824000 cubed (1068144092458240003) is 1218679564474741779970192643756021958836224000000000
-
The
square root of 106814409245824000 is 326824737.8119104373 -
The
cube root of 106814409245824000 is 474471.2998295005
Scales and comparisons
How big is 106814409245824000?- 106,814,409,245,824,000 seconds is equal to 3,396,367,815 years, 18 weeks, 3 days, 15 hours, 6 minutes, 40 seconds.
-
To count from 1 to 106,814,409,245,824,000 would take you about ten billion, one hundred eighty-nine million, one hundred three thousand, four hundred forty-six 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 106814409245824000 cubic inches would be around 39539.3 feet tall.
Recreational maths with 106814409245824000
- 106814409245824000 backwards is 000428542904418601
- The number of decimal digits it has is: 18
- The sum of 106814409245824000's digits is 58
- More coming soon!
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"Number 106814409245824000 - Facts about the integer". Numbermatics.com. 2024. Web. 10 June 2024.
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Numbermatics. (2024). Number 106814409245824000 - Facts about the integer. Retrieved 10 June 2024, from https://numbermatics.com/n/106814409245824000/
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The information we have on file for 106814409245824000 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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