105642216243200
105,642,216,243,200 is an even composite number composed of seven prime numbers multiplied together.
What does the number 105642216243200 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2160 divisors.
105642216243200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 105642216243200:
214 × 52 × 72 × 13 × 31 × 37 × 353
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 13 × 31 × 37 × 353)See below for interesting mathematical facts about the number 105642216243200 from the Numbermatics database.
Names of 105642216243200
- Cardinal: 105642216243200 can be written as One hundred five trillion, six hundred forty-two billion, two hundred sixteen million, two hundred forty-three thousand, two hundred.
Scientific notation
- Scientific notation: 1.056422162432 × 1014
Factors of 105642216243200
Divisors of 105642216243200
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 31 32 35 37 40 49 50 52 56 62 64 65 70 74 80 91 98 100 104 112 124 128 130 140 148 155 160 175 182 185 196 200 208 217 224 245 248 256 259 260 280 296 310 320 325 350 353 364 370 392 400 403 416 434 448 455 481 490 496 512 518 520 560 592 620 637 640 650 700 706 728 740 775 784 800 806 832 868 896 910 925 962 980 992 1024 1036 1040 1085 1120 1147 1184 1225 1240 1274 1280 1295 1300 1400 1412 1456 1480 1519 1550 1568 1600 1612 1664 1736 1765 1792 1813 1820 1850 1924 1960 1984 2015 2048 2072 2080 2170 2240 2275 2294 2368 2405 2450 2471 2480 2548 2560 2590 2600 2800 2821 2824 2912 2960 3038 3100 3136 3185 3200 3224 3328 3367 3472 3530 3584 3626 3640 3700 3848 3920 3968 4030 4096 4144 4160 4340 4480 4550 4588 4589 4736 4810 4900 4942 4960 5096 5120 5180 5200 5425 5600 5642 5648 5735 5824 5920 6076 6200 6272 6370 6400 6448 6475 6656 6734 6944 7060 7168 7252 7280 7400 7595 7696 7840 7936 8029 8060 8192 8288 8320 8680 8825 8960 9065 9100 9176 9178 9472 9620 9800 9884 9920 10075 10192 10240 10360 10400 10850 10943 11200 11284 11296 11470 11648 11840 12025 12152 12355 12400 12544 12740 12800 12896 12950 13061 13312 13468 13888 14105 14120 14336 14504 14560 14800 14911 15190 15392 15680 15872 15925 16058 16120 16384 16576 16640 16835 17297 17360 17650 17920 18130 18200 18352 18356 18944 19240 19600 19747 19768 19840 20150 20384 20480 20720 20800 21700 21886 22400 22568 22592 22940 22945 23296 23569 23680 24050 24304 24710 24800 25088 25480 25600 25792 25900 26122 26624 26936 27776 28210 28240 28672 28675 29008 29120 29600 29822 30380 30784 31360 31744 31850 32116 32123 32240 33152 33280 33670 34594 34720 35300 35840 36260 36400 36704 36712 37888 37975 38480 39200 39494 39536 39680 40145 40300 40768 40960 41440 41600 43400 43772 44800 45136 45184 45325 45880 45890 46592 47138 47360 48100 48608 49420 49600 50176 50960 51200 51584 51800 52244 53248 53872 54715 55552 56203 56420 56480 57344 57350 58016 58240 59200 59644 60760 61568 61775 62720 63488 63700 64232 64246 64480 65305 66304 66560 67340 69188 69440 70525 70600 71680 72520 72800 73408 73424 74555 75776 75950 76601 76960 78400 78988 79072 79360 80290 80600 81536 81920 82880 83200 84175 86485 86800 87544 89600 90272 90368 90650 91427 91760 91780 93184 94276 94720 96200 97216 98735 98840 99200 100352 101920 102400 103168 103600 104377 104488 106496 107744 109430 111104 112406 112840 112960 114688 114700 114725 116032 116480 117845 118400 119288 121520 123136 123550 125440 126976 127400 128464 128492 128960 130610 132608 133120 134680 138376 138880 141050 141200 142259 143360 145040 145600 146816 146848 149110 151552 151900 153202 153920 156800 157976 158144 158720 160580 160615 161200 163072 165760 166400 168350 169793 172970 173600 175088 179200 180544 180736 181300 182854 183520 183560 186368 188552 189440 192400 194432 197470 197680 198400 200704 200725 203840 204800 206336 207200 208754 208976 212992 215488 218860 222208 224812 224861 225680 225920 229400 229450 232064 232960 235690 236800 238576 243040 246272 247100 250880 253952 254800 256928 256984 257920 261220 265216 266240 269360 273575 276752 277760 281015 282100 282400 284518 286720 290080 291200 293632 293696 298220 303104 303800 306404 307840 313600 315952 316288 317440 321160 321230 322400 326144 326525 331520 332800 336700 339586 345940 347200 350176 358400 361088 361472 362600 365708 367040 367120 372736 372775 377104 378880 383005 384800 388864 394940 395360 396800 401408 401450 404891 407680 409600 412672 414400 417508 417952 430976 432425 437720 444416 449624 449722 451360 451840 457135 458800 458900 464128 465920 471380 473600 477152 486080 492544 493675 494200 501760 507904 509600 513856 513968 515840 521885 522440 530432 532480 536207 538720 547150 553504 555520 562030 564200 564800 569036 573440 580160 582400 587264 587392 589225 596440 606208 607600 612808 615680 627200 631904 632576 634880 639989 642320 642460 644800 652288 653050 663040 665600 673400 679172 691880 694400 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939827200 950840800 965386240 980492800 991982950 1011046400 1012121600 1019712512 1023982400 1031662268 1036520960 1052716600 1064941696 1068820480 1069957120 1086675200 1098151936 1115310560 1120563200 1133694800 1151037440 1151288320 1155481600 1165385728 1169022400 1170265600 1179042592 1206732800 1217076224 1221509120 1255030784 1269738176 1274640640 1289577835 1295651200 1310697472 1315758080 1331177120 1336025600 1337446400 1347477248 1372689920 1379123200 1390944256 1394138200 1416970240 1438796800 1439110400 1451129344 1456732160 1473803240 1496348672 1497939968 1521345280 1526886400 1568788480 1587172720 1593300800 1617674240 1638371840 1644339200 1644697600 1658433536 1663971400 1684346560 1710112768 1715862400 1738680320 1771212800 1784496896 1813911680 1820915200 1842061312 1842254050 1870435840 1872424960 1879654400 1901681600 1930772480 1960985600 1983965900 2022092800 2039425024 2047964800 2063324536 2073041920 2105433200 2129883392 2137640960 2173350400 2196303872 2230621120 2241126400 2267389600 2302074880 2302576640 2330771456 2338044800 2340531200 2358085184 2413465600 2434152448 2539476352 2549281280 2579155670 2591302400 2621394944 2631516160 2662354240 2672051200 2674892800 2694954496 2745379840 2781888512 2788276400 2877593600 2878220800 2902258688 2913464320 2947606480 2992697344 3042690560 3053772800 3137576960 3174345440 3186601600 3276743680 3288678400 3289395200 3316867072 3327942800 3368693120 3431724800 3477360640 3542425600 3568993792 3627823360 3641830400 3684122624 3684508100 3740871680 3744849920 3803363200 3921971200 3967931800 4044185600 4078850048 4095929600 4126649072 4146083840 4210866400 4259766784 4275281920 4346700800 4392607744 4461242240 4482252800 4534779200 4604149760 4605153280 4676089600 4681062400 4716170368 4826931200 4868304896 5078952704 5098562560 5158311340 5182604800 5242789888 5324708480 5344102400 5349785600 5389908992 5490759680 5576552800 5755187200 5756441600 5804517376 5826928640 5895212960 5985394688 6085381120 6107545600 6275153920 6348690880 6373203200 6447889175 6553487360 6578790400 6633734144 6655885600 6737386240 6863449600 6954721280 7084851200 7137987584 7255646720 7283660800 7369016200 7481743360 7489699840 7606726400 7843942400 7935863600 8088371200 8157700096 8191859200 8253298144 8292167680 8421732800 8519533568 8550563840 8693401600 8785215488 8922484480 9069558400 9210306560 9352179200 9362124800 9432340736 9653862400 9736609792 10157905408 10197125120 10316622680 10365209600 10485579776 10649416960 10688204800 10779817984 10981519360 11153105600 11510374400 11512883200 11609034752 11653857280 11790425920 11970789376 12170762240 12697381760 12746406400 12895778350 13106974720 13157580800 13311771200 13474772480 13726899200 13909442560 14275975168 14511293440 14567321600 14738032400 14963486720 15213452800 15687884800 15871727200 16315400192 16383718400 16506596288 16584335360 16843465600 17039067136 17386803200 17844968960 18139116800 18420613120 18704358400 18724249600 18864681472 19473219584 20315810816 20394250240 20633245360 20730419200 21298833920 21376409600 21559635968 21963038720 22306211200 23020748800 23025766400 23218069504 23580851840 24341524480 25394763520 25492812800 25791556700 26213949440 26623542400 26949544960 27453798400 28551950336 29022586880 29134643200 29476064800 29926973440 30426905600 31375769600 31743454400 32767436800 33013192576 33168670720 33686931200 34078134272 34773606400 35689937920 36278233600 37408716800 37448499200 37729362944 40631621632 40788500480 41266490720 41460838400 42597667840 42752819200 43119271936 43926077440 44612422400 46051532800 46436139008 47161703680 48683048960 50789527040 50985625600 51583113400 52427898880 53247084800 53899089920 54907596800 57103900672 58045173760 58269286400 58952129600 59853946880 60853811200 63486908800 65534873600 66026385152 67373862400 68156268544 69547212800 71379875840 72556467200 74817433600 75458725888 81263243264 81577000960 82532981440 82921676800 85195335680 86238543872 89224844800 92103065600 94323407360 97366097920 101579054080 101971251200 103166226800 106494169600 107798179840 109815193600 114207801344 116090347520 117904259200 121707622400 126973817600 131069747200 132052770304 134747724800 136312537088 142759751680 145112934400 149634867200 150917451776 162526486528 165065962880 165843353600 170390671360 178449689600 188646814720 203158108160 203942502400 206332453600 212988339200 215596359680 219630387200 232180695040 235808518400 243415244800 253947635200 262139494400 264105540608 269495449600 285519503360 290225868800 299269734400 301834903552 325052973056 330131925760 340781342720 356899379200 377293629440 406316216320 407885004800 412664907200 425976678400 431192719360 471617036800 486830489600 507895270400 528211081216 538990899200 571039006720 580451737600 603669807104 660263851520 681562685440 713798758400 754587258880 812632432640 825329814400 851953356800 943234073600 1015790540800 1056422162432 1077981798400 1160903475200 1320527703040 1427597516800 1509174517760 1625264865280 1650659628800 1703906713600 1886468147200 2031581081600 2112844324864 2155963596800 2641055406080 2855195033600 3018349035520 3301319257600 3407813427200 3772936294400 4063162163200 4225688649728 5282110812160 6602638515200 7545872588800 8126324326400 10564221624320 13205277030400 15091745177600 21128443248640 26410554060800 52821108121600 105642216243200
- Sum of all divisors σ(n): 348929833561344
- Sum of proper divisors (its aliquot sum) s(n): 243287617318144
- 105642216243200 is an abundant number, because the sum of its proper divisors (243287617318144) is greater than itself. Its abundance is 137645401074944
Bases of 105642216243200
- Binary: 110000000010100101111101100010111000000000000002
- Hexadecimal: 0x6014BEC5C000
- Base-36: 11G3D3Y77K
Squares and roots of 105642216243200
- 105642216243200 squared (1056422162432002) is 11160277852775029921546240000
- 105642216243200 cubed (1056422162432003) is 1178996486257055484173338216987885568000000
-
The
square root of 105642216243200 is 10278239.9389778793 -
The
cube root of 105642216243200 is 47272.9278523517
Scales and comparisons
How big is 105642216243200?- 105,642,216,243,200 seconds is equal to 3,359,095 years, 36 weeks, 4 days, 3 hours, 33 minutes, 20 seconds.
-
To count from 1 to 105,642,216,243,200 would take you about eight million, three hundred ninety-seven thousand, seven hundred thirty-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 105642216243200 cubic inches would be around 3939.4 feet tall.
Recreational maths with 105642216243200
- 105642216243200 backwards is 002342612246501
- The number of decimal digits it has is: 15
- The sum of 105642216243200's digits is 38
- More coming soon!
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"Number 105642216243200 - Facts about the integer". Numbermatics.com. 2024. Web. 12 May 2024.
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Numbermatics. (2024). Number 105642216243200 - Facts about the integer. Retrieved 12 May 2024, from https://numbermatics.com/n/105642216243200/
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Numbermatics. 2024. "Number 105642216243200 - Facts about the integer". https://numbermatics.com/n/105642216243200/
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