10971313248000
10,971,313,248,000 is an even composite number composed of six prime numbers multiplied together.
10971313248000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 10971313248000:
28 × 3 × 53 × 73 × 67 × 4973
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 7 × 7 × 67 × 4973)See below for interesting mathematical facts about the number 10971313248000 from the Numbermatics database.
Names of 10971313248000
- Cardinal: 10971313248000 can be written as Ten trillion, nine hundred seventy-one billion, three hundred thirteen million, two hundred forty-eight thousand.
Scientific notation
- Scientific notation: 1.0971313248 × 1013
Factors of 10971313248000
Divisors of 10971313248000
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 49 50 56 60 64 67 70 75 80 84 96 98 100 105 112 120 125 128 134 140 147 150 160 168 175 192 196 200 201 210 224 240 245 250 256 268 280 294 300 320 335 336 343 350 375 384 392 400 402 420 448 469 480 490 500 525 536 560 588 600 640 670 672 686 700 735 750 768 784 800 804 840 875 896 938 960 980 1000 1005 1029 1050 1072 1120 1176 1200 1225 1280 1340 1344 1372 1400 1407 1470 1500 1568 1600 1608 1675 1680 1715 1750 1792 1876 1920 1960 2000 2010 2058 2100 2144 2240 2345 2352 2400 2450 2625 2680 2688 2744 2800 2814 2940 3000 3136 3200 3216 3283 3350 3360 3430 3500 3675 3752 3840 3920 4000 4020 4116 4200 4288 4480 4690 4704 4800 4900 4973 5025 5145 5250 5360 5376 5488 5600 5628 5880 6000 6125 6272 6400 6432 6566 6700 6720 6860 7000 7035 7350 7504 7840 8000 8040 8232 8375 8400 8575 8576 8960 9380 9408 9600 9800 9849 9946 10050 10290 10500 10720 10976 11200 11256 11725 11760 12000 12250 12544 12864 13132 13400 13440 13720 14000 14070 14700 14919 15008 15680 16000 16080 16415 16464 16750 16800 17150 17152 18375 18760 18816 19200 19600 19698 19892 20100 20580 21000 21440 21952 22400 22512 22981 23450 23520 24000 24500 24865 25125 25725 25728 26264 26800 26880 27440 28000 28140 29400 29838 30016 31360 32000 32160 32830 32928 33500 33600 34300 34811 35175 36750 37520 37632 39200 39396 39784 40200 41160 42000 42875 42880 43904 44800 45024 45962 46900 47040 48000 49000 49245 49730 50250 51450 51456 52528 53600 54880 56000 56280 58625 58800 59676 60032 62720 64320 65660 65856 67000 67200 68600 68943 69622 70350 73500 74595 75040 78400 78792 79568 80400 82075 82320 84000 85750 85760 87808 90048 91924 93800 94080 96000 98000 98490 99460 100500 102900 104433 105056 107200 109760 112000 112560 114905 117250 117600 119352 120064 124325 128625 128640 131320 131712 134000 134400 137200 137886 139244 140700 147000 149190 150080 156800 157584 159136 160800 164150 164640 168000 171500 174055 175875 180096 183848 187600 188160 196000 196980 198920 201000 205800 208866 210112 214400 219520 224000 225120 229810 234500 235200 238704 243677 246225 248650 257250 257280 262640 263424 268000 274400 275772 278488 281400 294000 298380 300160 313600 315168 318272 321600 328300 329280 333191 336000 343000 344715 348110 351750 360192 367696 372975 375200 392000 393960 397840 402000 410375 411600 417732 420224 428800 439040 450240 459620 469000 470400 477408 487354 492450 497300 514500 522165 525280 536000 548800 551544 556976 562800 574525 588000 596760 600320 621625 630336 636544 643200 656600 658560 666382 672000 686000 689430 696220 703500 731031 735392 745950 750400 784000 787920 795680 804000 820750 823200 835464 840448 870275 900480 919240 938000 940800 954816 974708 984900 994600 999573 1029000 1044330 1050560 1072000 1097600 1103088 1113952 1125600 1149050 1176000 1193520 1218385 1231125 1243250 1260672 1273088 1286400 1313200 1317120 1332764 1372000 1378860 1392440 1407000 1462062 1470784 1491900 1500800 1568000 1575840 1591360 1608000 1641500 1646400 1665955 1670928 1705739 1723575 1740550 1800960 1838480 1864875 1876000 1909632 1949416 1969800 1989200 1999146 2058000 2088660 2101120 2144000 2195200 2206176 2227904 2251200 2298100 2332337 2352000 2387040 2436770 2462250 2486500 2521344 2610825 2626400 2665528 2744000 2757720 2784880 2814000 2872625 2924124 2941568 2983800 3001600 3151680 3182720 3216000 3283000 3292800 3331910 3341856 3411478 3447150 3481100 3655155 3676960 3729750 3752000 3819264 3898832 3939600 3978400 3998292 4116000 4177320 4202240 4351375 4412352 4455808 4502400 4596200 4664674 4704000 4774080 4873540 4924500 4973000 4997865 5117217 5221650 5252800 5331056 5488000 5515440 5569760 5628000 5745250 5848248 5883136 5967600 6091925 6303360 6365440 6432000 6566000 6585600 6663820 6683712 6822956 6894300 6962200 6997011 7310310 7353920 7459500 7504000 7797664 7879200 7956800 7996584 8232000 8329775 8354640 8528695 8617875 8702750 8824704 8911616 9004800 9192400 9329348 9548160 9747080 9849000 9946000 9995730 10234434 10443300 10505600 10662112 10976000 11030880 11139520 11256000 11490500 11661685 11696496 11935200 12183850 12606720 13054125 13132000 13327640 13367424 13645912 13788600 13924400 13994022 14620620 14707840 14919000 15008000 15595328 15758400 15913600 15993168 16326359 16464000 16659550 16709280 17057390 17235750 17405500 17649408 18275775 18384800 18658696 19096320 19494160 19698000 19892000 19991460 20468868 20886600 21011200 21324224 22061760 22279040 22512000 22981000 23323370 23392992 23870400 24367700 24989325 25586085 26108250 26264000 26655280 26734848 27291824 27577200 27848800 27988044 29241240 29415680 29838000 30459625 31190656 31516800 31827200 31986336 32652718 32928000 33319100 33418560 34114780 34471500 34811000 34985055 36551550 36769600 37317392 38988320 39396000 39784000 39982920 40937736 41648875 41773200 42643475 42648448 44123520 44558080 45024000 45962000 46646740 46785984 47740800 48735400 48979077 49978650 51172170 52216500 52528000 53310560 54583648 55154400 55697600 55976088 58308425 58482480 59676000 60919250 62381312 63033600 63972672 65305436 66638200 66837120 68229560 68943000 69622000 69970110 73103100 73539200 74634784 77976640 78792000 79568000 79965840 81631795 81875472 83297750 83546400 85286950 85296896 88247040 91378875 91924000 93293480 93571968 95481600 97470800 97958154 99957300 102344340 104433000 105056000 106621120 109167296 110308800 111395200 111952176 114284513 116616850 116964960 119352000 121838500 124946625 127930425 127945344 130610872 133276400 133674240 136459120 137886000 139244000 139940220 146206200 147078400 149269568 155953280 157584000 159136000 159931680 163263590 163750944 166595500 167092800 170573900 174925275 182757750 183848000 186586960 187143936 194941600 195916308 199914600 204688680 208866000 213217375 213242240 218334592 220617600 222790400 223904352 228569026 233233700 233929920 238704000 243677000 244895385 249893250 255860850 255890688 261221744 266552800 272918240 275772000 278488000 279880440 291542125 292412400 298539136 311906560 315168000 319863360 326527180 327501888 333191000 334185600 341147800 342853539 349850550 365515500 367696000 373173920 389883200 391832616 399829200 408158975 409377360 417732000 426434750 426484480 436669184 441235200 447808704 457138052 466467400 467859840 477408000 487354000 489790770 499786500 511721700 522443488 533105600 545836480 551544000 556976000 559760880 571422565 583084250 584824800 597078272 639652125 639726720 653054360 655003776 666382000 668371200 682295600 685707078 699701100 731031000 735392000 746347840 779766400 783665232 799658400 816317950 818754720 835464000 852869500 874626375 895617408 914276104 932934800 935719680 974708000 979581540 999573000 1023443400 1044886976 1066211200 1091672960 1103088000 1113952000 1119521760 1142845130 1166168500 1169649600 1224476925 1279304250 1279453440 1306108720 1310007552 1332764000 1364591200 1371414156 1399402200 1462062000 1492695680 1559532800 1567330464 1599316800 1632635900 1637509440 1670928000 1705739000 1714267695 1749252750 1791234816 1828552208 1865869600 1949416000 1959163080 1999146000 2040794875 2046886800 2089773952 2132422400 2183345920 2206176000 2239043520 2285690260 2332337000 2339299200 2448953850 2558608500 2612217440 2665528000 2729182400 2742828312 2798804400 2857112825 2924124000 2985391360 3134660928 3198633600 3265271800 3275018880 3341856000 3411478000 3428535390 3498505500 3657104416 3731739200 3898832000 3918326160 3998292000 4081589750 4093773600 4179547904 4478087040 4571380520 4664674000 4678598400 4897907700 5117217000 5224434880 5331056000 5458364800 5485656624 5597608800 5714225650 5848248000 6122384625 6269321856 6397267200 6530543600 6550037760 6822956000 6857070780 6997011000 7314208832 7463478400 7797664000 7836652320 7996584000 8163179500 8187547200 8571338475 8956174080 9142761040 9329348000 9795815400 10234434000 10448869760 10662112000 10916729600 10971313248 11195217600 11428451300 11696496000 12244769250 12538643712 13061087200 13645912000 13714141560 13994022000 14285564125 14628417664 14926956800 15673304640 15993168000 16326359000 16375094400 17142676950 18285522080 18658696000 19591630800 20468868000 20897739520 21942626496 22390435200 22856902600 23392992000 24489538500 26122174400 27291824000 27428283120 27988044000 28571128250 29256835328 31346609280 31986336000 32652718000 32750188800 34285353900 36571044160 37317392000 39183261600 40937736000 42856692375 43885252992 44780870400 45713805200 48979077000 52244348800 54583648000 54856566240 55976088000 57142256500 62693218560 65305436000 68570707800 73142088320 74634784000 78366523200 81875472000 85713384750 87770505984 91427610400 97958154000 104488697600 109713132480 111952176000 114284513000 130610872000 137141415600 146284176640 156733046400 163750944000 171426769500 182855220800 195916308000 219426264960 223904352000 228569026000 261221744000 274282831200 313466092800 342853539000 365710441600 391832616000 438852529920 457138052000 522443488000 548565662400 685707078000 731420883200 783665232000 914276104000 1097131324800 1371414156000 1567330464000 1828552208000 2194262649600 2742828312000 3657104416000 5485656624000 10971313248000
- Sum of all divisors σ(n): 43140003379200
- Sum of proper divisors (its aliquot sum) s(n): 32168690131200
- 10971313248000 is an abundant number, because the sum of its proper divisors (32168690131200) is greater than itself. Its abundance is 21197376883200
Bases of 10971313248000
- Binary: 100111111010011101010011101010010111000000002
- Hexadecimal: 0x9FA753A9700
- Base-36: 3W05GMXHC
Squares and roots of 10971313248000
- 10971313248000 squared (109713132480002) is 120369714385740309504000000
- 10971313248000 cubed (109713132480003) is 1320613842098248839948855508992000000000
-
The
square root of 10971313248000 is 3312297.2765136887 -
The
cube root of 10971313248000 is 22220.4511160617
Scales and comparisons
How big is 10971313248000?- 10,971,313,248,000 seconds is equal to 348,853 years, 42 weeks, 6 days, 5 hours, 20 minutes.
-
To count from 1 to 10,971,313,248,000 would take you about eight hundred seventy-two thousand, one hundred thirty-four 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 10971313248000 cubic inches would be around 1851.7 feet tall.
Recreational maths with 10971313248000
- 10971313248000 backwards is 00084231317901
- The number of decimal digits it has is: 14
- The sum of 10971313248000's digits is 39
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 10971313248000 - Facts about the integer". Numbermatics.com. 2024. Web. 14 May 2024.
APA style:
Numbermatics. (2024). Number 10971313248000 - Facts about the integer. Retrieved 14 May 2024, from https://numbermatics.com/n/10971313248000/
Chicago style:
Numbermatics. 2024. "Number 10971313248000 - Facts about the integer". https://numbermatics.com/n/10971313248000/
The information we have on file for 10971313248000 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!
Keywords: Divisors of 10971313248000, math, Factors of 10971313248000, curriculum, school, college, exams, university, Prime factorization of 10971313248000, STEM, science, technology, engineering, physics, economics, calculator, ten trillion, nine hundred seventy-one billion, three hundred thirteen million, two hundred forty-eight thousand.