48982920416684800
48,982,920,416,684,800 is an even composite number composed of six prime numbers multiplied together.
What does the number 48982920416684800 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2592 divisors.
48982920416684800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, five hundred ninety-two divisors.
Prime factorization of 48982920416684800:
28 × 52 × 73 × 133 × 73 × 3732
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 7 × 13 × 13 × 13 × 73 × 373 × 373)See below for interesting mathematical facts about the number 48982920416684800 from the Numbermatics database.
Names of 48982920416684800
- Cardinal: 48982920416684800 can be written as Forty-eight quadrillion, nine hundred eighty-two trillion, nine hundred twenty billion, four hundred sixteen million, six hundred eighty-four thousand, eight hundred.
Scientific notation
- Scientific notation: 4.89829204166848 × 1016
Factors of 48982920416684800
Divisors of 48982920416684800
- Number of divisors d(n): 2592
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Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 32 35 40 49 50 52 56 64 65 70 73 80 91 98 100 104 112 128 130 140 146 160 169 175 182 196 200 208 224 245 256 260 280 292 320 325 338 343 350 364 365 373 392 400 416 448 455 490 511 520 560 584 637 640 650 676 686 700 728 730 746 784 800 832 845 896 910 949 980 1022 1040 1120 1168 1183 1225 1274 1280 1300 1352 1372 1400 1456 1460 1492 1568 1600 1664 1690 1715 1792 1820 1825 1865 1898 1960 2044 2080 2197 2240 2275 2336 2366 2450 2548 2555 2600 2611 2704 2744 2800 2912 2920 2984 3136 3185 3200 3328 3380 3430 3577 3640 3650 3730 3796 3920 4088 4160 4225 4394 4459 4480 4550 4672 4732 4745 4849 4900 5096 5110 5200 5222 5408 5488 5600 5824 5840 5915 5968 6272 6370 6400 6643 6760 6860 7154 7280 7300 7460 7592 7840 8176 8281 8320 8450 8575 8788 8918 8960 9100 9325 9344 9464 9490 9698 9800 10192 10220 10400 10444 10816 10976 10985 11200 11648 11680 11830 11936 12337 12544 12740 12775 13055 13286 13520 13720 14308 14560 14600 14920 15184 15379 15680 15925 16352 16562 16640 16900 17150 17576 17836 17885 18200 18277 18650 18688 18928 18980 19396 19600 20384 20440 20800 20888 21632 21952 21970 22295 22400 23296 23360 23660 23725 23872 24245 24674 25039 25480 25550 26110 26572 27040 27229 27440 28616 29120 29200 29575 29840 30368 30758 31360 31850 32704 33124 33215 33800 33943 34300 35152 35672 35770 36400 36554 37300 37856 37960 38792 39200 40768 40880 41405 41600 41776 43264 43904 43940 44590 44800 46501 46720 47320 47450 47744 48490 49348 50078 50960 51100 52220 53144 54080 54458 54880 54925 57232 57967 58240 58400 59150 59680 60736 61516 61685 62720 63037 63700 65275 65408 66248 66430 67600 67886 68600 70304 71344 71540 72800 73108 74600 75712 75920 76895 77584 78400 81536 81760 82810 83200 83552 86359 87808 87880 89180 89425 91385 93002 93440 94640 94900 95488 96980 98696 100156 101920 102200 104440 106288 107653 108160 108916 109760 109850 111475 114464 115934 116480 116800 118300 119360 121225 121472 123032 123370 125195 126074 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2264373170150 2345026829600 2354948096956 2396424677920 2403008262200 2499128592688 2525413508800 2580765037760 2587855051600 2621089491475 2626430049152 2680030662400 2691369253664 2738771060480 2746295156800 2786920824800 2856146963072 2898397657792 2943685121195 2957548630400 2995530847400 3075850575616 3123910740860 3185052371200 3225956297200 3283037561440 3354994549088 3364211567080 3423463825600 3570183703840 3622997072240 3686807196800 3752042927360 3834279484672 3844813219520 3904888426075 3970407750400 4103796951800 4140568082560 4193743186360 4205264458850 4373475037204 4459073319680 4462729629800 4528746340300 4690053659200 4709896193912 4792849355840 4806016524400 4998257185376 5050827017600 5161530075520 5175710103200 5242178982950 5252860098304 5382738507328 5466843796505 5492590313600 5573841649600 5712293926144 5796795315584 5887370242390 5915097260800 5991061694800 6247821481720 6451912594400 6566075122880 6709989098176 6728423134160 6846927651200 7140367407680 7245994144480 7373614393600 7653581315107 7689626439040 7809776852150 8207593903600 8281136165120 8387486372720 8410528917700 8746950074408 8925459259600 9057492680600 9380107318400 9419792387824 9585698711680 9612033048800 9996514370752 10101654035200 10323060151040 10351420206400 10484357965900 10765477014656 10933687593010 10985180627200 11147683299200 11593590631168 11774740484780 11982123389600 12495642963440 12903825188800 13132150245760 13419978196352 13456846268320 13693855302400 14280734815360 14491988288960 14718425605975 15307162630214 15379252878080 15619553704300 16415187807200 16774972745440 16821057835400 17493900148816 17850918519200 18114985361200 18760214636800 18839584775648 19171397423360 19224066097600 19993028741504 20702840412800 20968715931800 21530954029312 21867375186020 22295366598400 23549480969560 23964246779200 24991285926880 25807650377600 26264300491520 26839956392704 26913692536640 27334218982525 28561469630720 28983976577920 29436851211950 30614325260428 31239107408600 32830375614400 33549945490880 33642115670800 34987800297632 35701837038400 36229970722400 37679169551296 38267906575535 38448132195200 39986057483008 41405680825600 41937431863600 43734750372040 47098961939120 47928493558400 49982571853760 51615300755200 53827385073280 54668437965050 57967953155840 58873702423900 61228650520856 62478214817200 65660751228800 67099890981760 67284231341600 69975600595264 71403674076800 72459941444800 75358339102592 76535813151070 76896264390400 83874863727200 87469500744080 94197923878240 95856987116800 99965143707520 107654770146560 109336875930100 117747404847800 122457301041712 124956429634400 131321502457600 134199781963520 134568462683200 139951201190528 142807348153600 144919882889600 150716678205184 153071626302140 167749727454400 174939001488160 188395847756480 191339532877675 199930287415040 218673751860200 235494809695600 244914602083424 249912859268800 269136925366400 279902402381056 289839765779200 306143252604280 335499454908800 349878002976320 376791695512960 382679065755350 437347503720400 470989619391200 489829204166848 499825718537600 538273850732800 612286505208560 670998909817600 699756005952640 753583391025920 765358131510700 874695007440800 941979238782400 979658408333696 999651437075200 1224573010417120 1399512011905280 1530716263021400 1749390014881600 1883958477564800 1959316816667392 2449146020834240 3061432526042800 3498780029763200 3767916955129600 4898292041668480 6122865052085600 6997560059526400 9796584083336960 12245730104171200 24491460208342400 48982920416684800
- Sum of all divisors σ(n): 155680712036304000
- Sum of proper divisors (its aliquot sum) s(n): 106697791619619200
- 48982920416684800 is an abundant number, because the sum of its proper divisors (106697791619619200) is greater than itself. Its abundance is 57714871202934400
Bases of 48982920416684800
- Binary: 101011100000010110110100111000110111111101101011000000002
- Hexadecimal: 0xAE05B4E37F6B00
- Base-36: DEAZUZMKF0G
Squares and roots of 48982920416684800
- 48982920416684800 squared (489829204166848002) is 2399326492547276620858222551040000
- 48982920416684800 cubed (489829204166848003) is 117526018638086726619132095866772528835592192000000
-
The
square root of 48982920416684800 is 221320854.0031526265 -
The
cube root of 48982920416684800 is 365888.0494514017
Scales and comparisons
How big is 48982920416684800?- 48,982,920,416,684,800 seconds is equal to 1,557,505,355 years, 6 weeks, 5 days, 4 hours, 26 minutes, 40 seconds.
-
To count from 1 to 48,982,920,416,684,800 would take you about four billion, six hundred seventy-two million, five hundred sixteen thousand and sixty-five 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 48982920416684800 cubic inches would be around 30490.7 feet tall.
Recreational maths with 48982920416684800
- 48982920416684800 backwards is 00848661402928984
- The number of decimal digits it has is: 17
- The sum of 48982920416684800's digits is 79
- More coming soon!
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"Number 48982920416684800 - Facts about the integer". Numbermatics.com. 2024. Web. 9 May 2024.
APA style:
Numbermatics. (2024). Number 48982920416684800 - Facts about the integer. Retrieved 9 May 2024, from https://numbermatics.com/n/48982920416684800/
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Numbermatics. 2024. "Number 48982920416684800 - Facts about the integer". https://numbermatics.com/n/48982920416684800/
The information we have on file for 48982920416684800 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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