29971838811200
29,971,838,811,200 is an even composite number composed of seven prime numbers multiplied together.
What does the number 29971838811200 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1008 divisors.
29971838811200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 29971838811200:
26 × 52 × 112 × 13 × 37 × 73 × 4409
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 11 × 11 × 13 × 37 × 73 × 4409)See below for interesting mathematical facts about the number 29971838811200 from the Numbermatics database.
Names of 29971838811200
- Cardinal: 29971838811200 can be written as Twenty-nine trillion, nine hundred seventy-one billion, eight hundred thirty-eight million, eight hundred eleven thousand, two hundred.
Scientific notation
- Scientific notation: 2.99718388112 × 1013
Factors of 29971838811200
Divisors of 29971838811200
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 2 4 5 8 10 11 13 16 20 22 25 26 32 37 40 44 50 52 55 64 65 73 74 80 88 100 104 110 121 130 143 146 148 160 176 185 200 208 220 242 260 275 286 292 296 320 325 352 365 370 400 407 416 440 481 484 520 550 572 584 592 605 650 704 715 730 740 800 803 814 832 880 925 949 962 968 1040 1100 1144 1168 1184 1210 1300 1430 1460 1480 1573 1600 1606 1628 1760 1825 1850 1898 1924 1936 2035 2080 2200 2288 2336 2368 2405 2420 2600 2701 2860 2920 2960 3025 3146 3212 3256 3520 3575 3650 3700 3796 3848 3872 4015 4070 4160 4400 4409 4477 4576 4672 4745 4810 4840 5200 5291 5402 5720 5840 5920 6050 6292 6424 6512 7150 7300 7400 7592 7696 7744 7865 8030 8140 8800 8818 8833 8954 9152 9490 9620 9680 10175 10400 10439 10582 10804 11440 11680 11840 12025 12100 12584 12848 13024 13505 14300 14600 14800 15184 15392 15730 16060 16280 17600 17636 17666 17908 18980 19240 19360 20075 20350 20800 20878 21164 21608 22045 22385 22880 23360 23725 24050 24200 25168 25696 26048 26455 27010 28600 29200 29600 29711 30368 30784 31460 32120 32560 35113 35272 35332 35816 37960 38480 38720 39325 40150 40700 41756 42328 43216 44090 44165 44770 45760 47450 48100 48400 48499 50336 51392 52195 52910 54020 57200 57317 58201 58400 59200 59422 60736 62920 64240 65120 67525 70226 70544 70664 71632 75920 76960 78650 80300 81400 83512 84656 86432 88180 88330 89540 94900 96200 96800 96998 100672 104390 105820 108040 110225 111925 114400 114634 114829 116402 116800 118844 125840 128480 130240 132275 135050 140452 141088 141328 143264 148555 151840 153920 157300 160600 162800 163133 167024 169312 172864 175565 176360 176660 179080 189800 192400 193600 193996 208780 211640 216080 220450 220825 223850 228800 229268 229658 232804 237688 242495 251680 256960 260975 264550 270100 280904 282176 282656 286528 286585 291005 297110 303680 314600 321200 321857 325600 326266 326821 334048 338624 351130 352720 353320 358160 379600 384800 386243 387992 417560 423280 432160 440900 441650 447700 458536 459316 465608 475376 484990 503360 521950 529100 533489 540200 561808 565312 573170 574145 582010 594220 629200 630487 642400 643714 651200 652532 653642 668096 702260 705440 706640 716320 742775 759200 769600 772486 775984 815665 835120 846560 864320 877825 881800 883300 895400 917072 918632 931216 950752 969980 1043900 1058200 1066978 1080400 1123616 1146340 1148290 1164020 1188440 1212475 1258400 1260974 1284800 1287428 1305064 1307284 1404520 1410880 1413280 1432640 1432925 1455025 1485550 1518400 1544972 1551968 1609285 1631330 1634105 1670240 1693120 1755650 1763600 1766600 1790800 1794463 1834144 1837264 1862432 1901504 1931215 1939960 2087800 2116400 2120729 2133956 2160800 2247232 2292680 2296580 2328040 2376880 2424950 2516800 2521948 2574856 2610128 2614568 2667445 2809040 2826560 2865850 2870725 2910050 2971100 3089944 3103936 3152435 3218570 3262660 3268210 3340480 3511300 3527200 3533200 3540427 3581600 3588926 3668288 3674528 3724864 3862430 3879920 4078325 4175600 4184141 4232800 4241458 4248673 4267912 4321600 4585360 4593160 4656080 4753760 4849900 5043896 5149712 5220256 5229136 5334890 5618080 5731700 5741450 5820100 5942200 6179888 6304870 6437140 6525320 6536420 6935357 7022600 7054400 7066400 7080854 7163200 7177852 7349056 7724860 7759840 8046425 8156650 8170525 8351200 8368282 8465600 8482916 8497346 8535824 8972315 9170720 9186320 9312160 9507520 9656075 9699800 10087792 10299424 10440512 10458272 10603645 10669780 11236160 11463400 11482900 11640200 11884400 11908709 12359776 12609740 12874280 13050640 13072840 13337225 13870714 14045200 14132800 14161708 14355704 15449720 15519680 15762175 16092850 16313300 16341050 16702400 16736564 16965832 16994692 17071648 17702135 17944630 18341440 18372640 18624320 19312150 19399600 19739093 20175584 20598848 20916544 20920705 21207290 21243365 21339560 22926800 22965800 23280400 23328019 23768800 23817418 24719552 25219480 25748560 26101280 26145680 26674450 27741428 28090400 28323416 28711408 30899440 31524350 32185700 32626600 32682100 33473128 33931664 33989384 34143296 34676785 35404270 35889260 36745280 38624300 38799200 38944697 39478186 40351168 41841410 42414580 42486730 42679120 44861575 45853600 45931600 46025551 46560800 46656038 47537600 47634836 50438960 51497120 52202560 52291360 53018225 53348900 55482856 56180800 56646832 57422816 59543545 61798880 63048700 64371400 65253200 65364200 66946256 67863328 67978768 69353570 70808540 71778520 77248600 77598400 77889394 78956372 83682820 84829160 84973460 85358240 88510675 89723150 91707200 91863200 92051102 93121600 93312076 95269672 98695465 100877920 102994240 104582720 104603525 106036450 106216825 106697800 110965712 113293664 114845632 116640095 119087090 123597760 126097400 128742800 130506400 130728400 130995799 133892512 135726656 135957536 138707140 141617080 143557040 154497200 154813217 155778788 157912744 167365640 169658320 169946920 170716480 173383925 177021350 179446300 183726400 184102204 186624152 190539344 194723485 197390930 201755840 209207050 212072900 212433650 213395600 221931424 226587328 230127755 233280190 238174180 252194800 256608209 257485600 261012800 261456800 261991598 267785024 271915072 277414280 283234160 287114080 297717725 308994400 309626434 311557576 315825488 334731280 339316640 339893840 346767850 354042700 358892600 368204408 373248304 381078688 389446970 394781860 418414100 424145800 424867300 426791200 443862848 460255510 466560380 476348360 493477325 504389600 506281061 513216418 514971200 522913600 523983196 554828560 566468320 574228160 583200475 595435450 617988800 619252868 623115152 631650976 654978995 669462560 678633280 679787680 693535700 708085400 717785200 736408816 746496608 762157376 774066085 778893940 789563720 836828200 848291600 849734600 853582400 920511020 933120760 952696720 973617425 986954650 1008779200 1012562122 1026432836 1047966392 1109657120 1132936640 1150638775 1166400950 1190870900 1238505736 1246230304 1263301952 1283041045 1309957990 1338925120 1359575360 1387071400 1416170800 1435570400 1440953789 1472817632 1492993216 1548132170 1557787880 1579127440 1673656400 1696583200 1699469200 1702945387 1841022040 1866241520 1905393440 1947234850 1973909300 2025124244 2052865672 2095932784 2219314240 2301277550 2332801900 2381741800 2477011472 2492460608 2531405305 2566082090 2619915980 2774142800 2832341600 2871140800 2881907578 2945635264 3096264340 3115575760 3158254880 3274894975 3347312800 3393166400 3398938400 3405890774 3682044080 3732483040 3810786880 3870330425 3894469700 3947818600 4050248488 4105731344 4191865568 4602555100 4665603800 4763483600 4954022944 5062810610 5132164180 5239831960 5548285600 5664683200 5763815156 6192528680 6231151520 6316509760 6415205225 6549789950 6694625600 6797876800 6811781548 7204768945 7364088160 7464966080 7740660850 7788939400 7895637200 8100496976 8211462688 8383731136 8514726935 9205110200 9331207600 9526967200 9908045888 10125621220 10264328360 10479663920 11096571200 11527630312 12385057360 12462303040 12657026525 12830410450 13099579900 13623563096 14409537890 14728176320 15481321700 15577878800 15791274400 16200993952 16422925376 17029453870 18410220400 18662415200 18732399257 19053934400 20251242440 20528656720 20959327840 23055260624 24770114720 25314053050 25660820900 26199159800 27247126192 28819075780 30962643400 31155757600 31582548800 32401987904 34058907740 36023844725 36820440800 37324830400 37464798514 40502484880 41057313440 41918655680 42573634675 46110521248 49540229440 50628106100 51321641800 52398319600 54494252384 57638151560 61925286800 62311515200 68117815480 72047689450 73640881600 74929597028 81004969760 82114626880 85147269350 92221042496 93661996285 101256212200 102643283600 104796639200 108988504768 115276303120 123850573600 136235630960 144095378900 149859194056 162009939520 170294538700 187323992570 202512424400 205286567200 209593278400 230552606240 247701147200 272471261920 288190757800 299718388112 340589077400 374647985140 405024848800 410573134400 461105212480 468309981425 544942523840 576381515600 599436776224 681178154800 749295970280 810049697600 936619962850 1152763031200 1198873552448 1362356309600 1498591940560 1873239925700 2305526062400 2724712619200 2997183881120 3746479851400 5994367762240 7492959702800 14985919405600 29971838811200
- Sum of all divisors σ(n): 90907349838480
- Sum of proper divisors (its aliquot sum) s(n): 60935511027280
- 29971838811200 is an abundant number, because the sum of its proper divisors (60935511027280) is greater than itself. Its abundance is 30963672216080
Bases of 29971838811200
- Binary: 1101101000010010111001100111000111100010000002
- Hexadecimal: 0x1B425CCE3C40
- Base-36: AMGVEZ7SW
Squares and roots of 29971838811200
- 29971838811200 squared (299718388112002) is 898311121724554629245440000
- 29971838811200 cubed (299718388112003) is 26924036142636613912853105162620928000000
-
The
square root of 29971838811200 is 5474654.2184141639 -
The
cube root of 29971838811200 is 31062.5994200365
Scales and comparisons
How big is 29971838811200?- 29,971,838,811,200 seconds is equal to 953,011 years, 39 weeks, 5 days, 12 hours, 53 minutes, 20 seconds.
-
To count from 1 to 29,971,838,811,200 would take you about two million, three hundred eighty-two thousand, five hundred twenty-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 29971838811200 cubic inches would be around 2588.5 feet tall.
Recreational maths with 29971838811200
- 29971838811200 backwards is 00211883817992
- The number of decimal digits it has is: 14
- The sum of 29971838811200's digits is 59
- More coming soon!
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The information we have on file for 29971838811200 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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