188813381328000
188,813,381,328,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 188813381328000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2880 divisors.
188813381328000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, eight hundred eighty divisors.
Prime factorization of 188813381328000:
27 × 32 × 53 × 114 × 13 × 832
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 11 × 11 × 11 × 11 × 13 × 83 × 83)See below for interesting mathematical facts about the number 188813381328000 from the Numbermatics database.
Names of 188813381328000
- Cardinal: 188813381328000 can be written as One hundred eighty-eight trillion, eight hundred thirteen billion, three hundred eighty-one million, three hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.88813381328 × 1014
Factors of 188813381328000
Divisors of 188813381328000
- Number of divisors d(n): 2880
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 20 22 24 25 26 30 32 33 36 39 40 44 45 48 50 52 55 60 64 65 66 72 75 78 80 83 88 90 96 99 100 104 110 117 120 121 125 128 130 132 143 144 150 156 160 165 166 176 180 192 195 198 200 208 220 225 234 240 242 249 250 260 264 275 286 288 300 312 320 325 330 332 352 360 363 375 384 390 396 400 415 416 429 440 450 468 480 484 495 498 500 520 528 550 572 576 585 600 605 624 640 650 660 664 704 715 720 726 747 750 780 792 800 825 830 832 858 880 900 913 936 960 968 975 990 996 1000 1040 1056 1079 1089 1100 1125 1144 1152 1170 1200 1210 1245 1248 1287 1300 1320 1328 1331 1375 1408 1430 1440 1452 1494 1500 1560 1573 1584 1600 1625 1650 1660 1664 1716 1760 1800 1815 1826 1872 1920 1936 1950 1980 1992 2000 2075 2080 2112 2145 2158 2178 2200 2250 2288 2340 2400 2420 2475 2490 2496 2574 2600 2640 2656 2662 2739 2750 2860 2880 2904 2925 2988 3000 3025 3120 3146 3168 3200 3237 3250 3300 3320 3432 3520 3575 3600 3630 3652 3735 3744 3872 3900 3960 3984 3993 4000 4125 4150 4160 4224 4290 4316 4356 4400 4500 4565 4576 4680 4719 4800 4840 4875 4950 4980 4992 5148 5200 5280 5312 5324 5395 5445 5478 5500 5720 5760 5808 5850 5976 6000 6050 6225 6240 6292 6336 6435 6474 6500 6600 6640 6655 6864 6889 7040 7150 7200 7260 7304 7470 7488 7744 7800 7865 7920 7968 7986 8000 8217 8250 8300 8320 8580 8632 8712 8800 9000 9075 9130 9152 9360 9438 9600 9680 9711 9750 9900 9960 10043 10296 10375 10400 10560 10624 10648 10725 10790 10890 10956 11000 11440 11616 11700 11869 11952 11979 12000 12100 12375 12450 12480 12584 12672 12870 12948 13000 13200 13280 13310 13695 13728 13778 14157 14300 14400 14520 14608 14625 14641 14940 14976 15125 15488 15600 15730 15840 15936 15972 16000 16185 16434 16500 16600 17160 17264 17303 17424 17600 17875 18000 18150 18260 18304 18675 18720 18876 19360 19422 19500 19800 19920 19965 20086 20592 20667 20750 20800 21120 21296 21450 21580 21780 21912 22000 22825 22880 23232 23400 23595 23738 23904 23958 24000 24200 24750 24900 24960 25168 25740 25896 26000 26400 26560 26620 26975 27225 27390 27456 27556 28314 28600 28800 29040 29216 29250 29282 29880 30129 30250 31125 31200 31460 31680 31872 31944 32175 32370 32868 33000 33200 33275 34320 34445 34528 34606 34848 35200 35607 35750 36000 36300 36520 37350 37440 37752 38720 38844 39000 39325 39600 39840 39930 40172 41085 41184 41334 41500 41600 42592 42900 43160 43560 43824 43923 44000 45375 45650 45760 46464 46800 47190 47476 47808 47916 48000 48400 48555 49500 49800 50215 50336 51480 51792 51909 52000 52800 53120 53240 53625 53950 54450 54780 54912 55112 56628 57200 58080 58432 58500 58564 59345 59760 59895 60258 60500 62001 62250 62400 62920 63360 63888 64350 64740 65736 66000 66400 66550 68475 68640 68890 69056 69212 69696 70785 71214 71500 72000 72600 73040 73205 74700 74880 75504 75779 77440 77688 78000 78650 79200 79680 79860 80344 80925 82170 82368 82668 83000 85184 85800 86320 86515 87120 87648 87846 88000 89557 90387 90750 91300 91520 93375 93600 94380 94952 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10002828000 10086184900 10110488960 10315416375 10340272800 10402941120 10489632296 10562986368 10728033030 10836397000 10912176000 10936827000 11003110800 11374300080 11443235232 11489192000 11665948800 11800836333 11821524000 11848229250 11920036700 12003393600 12103421880 12190946625 12483529344 12607731125 12638111200 12896208000 12910316672 12925341000 13003676400 13112040370 13203732960 13337104000 13703976000 13753888500 13787030400 14185828800 14217875100 14304044040 14524106256 14582436000 14670814400 14900045875 15004242000 15129277350 15165733440 15257646976 15604411680 15734448444 15762032000 15797639000 15908112000 16137895840 16254595500 16504666200 17164852848 17233788000 17338235200 17498923200 17604977280 17732286000 17772343875 17880055050 18155132820 18198880128 18338518000 18800496000 18957166800 19072058720 19365475008 19443248000 19505514600 19668060555 20005656000 20172369800 20630832750 20680545600 20805882240 20979264592 21456066060 21672794000 21873654000 22006221600 22693916025 22748600160 22886470464 22978384000 23601672666 23643048000 23696458500 23840073400 24006787200 24206843760 24381893250 25215462250 25276222400 25850682000 26007352800 26224080740 26407465920 26820082575 27407952000 27507777000 28371657600 28435750200 28608088080 29048212512 29164872000 29341628800 29800091750 30008484000 30258554700 30331466880 31208823360 31468896888 31595278000 32275791680 32509191000 32780100925 33009332400 34329705696 34467576000 34676470400 34997846400 35464572000 35544687750 35760110100 36310265640 36677036000 37823193375 37914333600 38144117440 38730950016 39011029200 39336121110 40011312000 40344739600 41261665500 41361091200 41958529184 42912132120 43345588000 43747308000 44012443200 44700137625 45387832050 45497200320 45772940928 47203345332 47286096000 47392917000 47680146800 48413687520 48763786500 50430924500 50552444800 51701364000 52014705600 52448161480 52814931840 53640165150 55015554000 56871500400 57216176160 58096425024 58329744000 59004181665 59600183500 60016968000 60517109400 62417646720 62937793776 63190556000 64551583360 65018382000 65560201850 66018664800 68659411392 68935152000 70929144000 71089375500 71520220200 72620531280 73354072000 75646386750 75828667200 76288234880 78022058400 78672242220 80689479200 82523331000 83917058368 85824264240 86691176000 87494616000 88024886400 89400275250 90775664100 90994400640 94406690664 94785834000 95360293600 96827375040 97527573000 98340302775 100861849000 103402728000 104029411200 104896322960 107280330300 110031108000 113469580125 113743000800 114432352320 116192850048 118008363330 119200367000 120033936000 121034218800 125875587552 126381112000 130036764000 131120403700 132037329600 134100412875 137318822784 141858288000 142178751000 143040440400 145241062560 146708144000 151292773500 151657334400 156044116800 157344484440 161378958400 163900504625 165046662000 167834116736 171648528480 173382352000 174989232000 178800550500 181551328200 188813381328 189571668000 190720587200 193654750080 195055146000 196680605550 201723698000 206805456000 209792645920 214560660600 220062216000 226939160250 227486001600 228864704640 236016726660 238400734000 242068437600 251751175104 252762224000 260073528000 262240807400 264074659200 268200825750 284357502000 286080880800 290482125120 295020908325 302585547000 312088233600 314688968880 322757916800 327801009250 330093324000 343297056960 357601101000 363102656400 377626762656 379143336000 381441174400 390110292000 393361211100 403447396000 419585291840 429121321200 440124432000 453878320500 454972003200 472033453320 476801468000 484136875200 491701513875 503502350208 520147056000 524481614800 536401651500 568715004000 572161761600 580964250240 590041816650 605171094000 629377937760 655602018500 660186648000 686594113920 715202202000 726205312800 755253525312 758286672000 780220584000 786722422200 806894792000 839170583680 858242642400 907756641000 944066906640 953602936000 968273750400 983403027750 1048963229600 1072803303000 1137430008000 1144323523200 1180083633300 1210342188000 1258755875520 1311204037000 1320373296000 1430404404000 1452410625600 1475104541625 1510507050624 1560441168000 1573444844400 1613789584000 1716485284800 1815513282000 1888133813280 1907205872000 1966806055500 2097926459200 2145606606000 2274860016000 2360167266600 2420684376000 2517511751040 2622408074000 2860808808000 2904821251200 2950209083250 3146889688800 3432970569600 3631026564000 3776267626560 3933612111000 4195852918400 4291213212000 4720334533200 4841368752000 5244816148000 5721617616000 5900418166500 6293779377600 7262053128000 7552535253120 7867224222000 8582426424000 9440669066400 10489632296000 11800836333000 12587558755200 14524106256000 15734448444000 17164852848000 18881338132800 20979264592000 23601672666000 31468896888000 37762676265600 47203345332000 62937793776000 94406690664000 188813381328000
- Sum of all divisors σ(n): 813048702593400
- Sum of proper divisors (its aliquot sum) s(n): 624235321265400
- 188813381328000 is an abundant number, because the sum of its proper divisors (624235321265400) is greater than itself. Its abundance is 435421939937400
Bases of 188813381328000
- Binary: 1010101110111001100010101000010111011100100000002
- Hexadecimal: 0xABB98A85DC80
- Base-36: 1UXFO484G0
Squares and roots of 188813381328000
- 188813381328000 squared (1888133813280002) is 35650492968512739043584000000
- 188813381328000 cubed (1888133813280003) is 6731290123394978494061979803799552000000000
-
The
square root of 188813381328000 is 13740938.1531247713 -
The
cube root of 188813381328000 is 57369.0409732051
Scales and comparisons
How big is 188813381328000?- 188,813,381,328,000 seconds is equal to 6,003,681 years, 25 weeks, 2 days, 16 hours.
-
To count from 1 to 188,813,381,328,000 would take you about fifteen million, nine thousand, two hundred three 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 188813381328000 cubic inches would be around 4780.8 feet tall.
Recreational maths with 188813381328000
- 188813381328000 backwards is 000823183318881
- The number of decimal digits it has is: 15
- The sum of 188813381328000's digits is 54
- More coming soon!
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Cite this page
MLA style:
"Number 188813381328000 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
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Numbermatics. (2024). Number 188813381328000 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/188813381328000/
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The information we have on file for 188813381328000 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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