107680329216000
107,680,329,216,000 is an even composite number composed of six prime numbers multiplied together.
107680329216000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred forty-eight divisors.
Prime factorization of 107680329216000:
212 × 32 × 53 × 37 × 127 × 4973
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 37 × 127 × 4973)See below for interesting mathematical facts about the number 107680329216000 from the Numbermatics database.
Names of 107680329216000
- Cardinal: 107680329216000 can be written as One hundred seven trillion, six hundred eighty billion, three hundred twenty-nine million, two hundred sixteen thousand.
Scientific notation
- Scientific notation: 1.07680329216 × 1014
Factors of 107680329216000
Divisors of 107680329216000
- Number of divisors d(n): 1248
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 37 40 45 48 50 60 64 72 74 75 80 90 96 100 111 120 125 127 128 144 148 150 160 180 185 192 200 222 225 240 250 254 256 288 296 300 320 333 360 370 375 381 384 400 444 450 480 500 508 512 555 576 592 600 635 640 666 720 740 750 762 768 800 888 900 925 960 1000 1016 1024 1110 1125 1143 1152 1184 1200 1270 1280 1332 1440 1480 1500 1524 1536 1600 1665 1776 1800 1850 1905 1920 2000 2032 2048 2220 2250 2286 2304 2368 2400 2540 2560 2664 2775 2880 2960 3000 3048 3072 3175 3200 3330 3552 3600 3700 3810 3840 4000 4064 4096 4440 4500 4572 4608 4625 4699 4736 4800 4973 5080 5120 5328 5550 5715 5760 5920 6000 6096 6144 6350 6400 6660 7104 7200 7400 7620 7680 8000 8128 8325 8880 9000 9144 9216 9250 9398 9472 9525 9600 9946 10160 10240 10656 11100 11430 11520 11840 12000 12192 12288 12700 12800 13320 13875 14097 14208 14400 14800 14919 15240 15360 15875 16000 16256 16650 17760 18000 18288 18432 18500 18796 18944 19050 19200 19892 20320 20480 21312 22200 22860 23040 23495 23680 24000 24384 24865 25400 25600 26640 27750 28194 28416 28575 28800 29600 29838 30480 30720 31750 32000 32512 33300 35520 36000 36576 36864 37000 37592 37888 38100 38400 39784 40640 41625 42291 42624 44400 44757 45720 46080 46990 47360 47625 48000 48768 49730 50800 51200 53280 55500 56388 56832 57150 57600 59200 59676 60960 61440 63500 64000 65024 66600 70485 71040 72000 73152 74000 74595 75184 75776 76200 76800 79568 81280 83250 84582 85248 88800 89514 91440 92160 93980 94720 95250 96000 97536 99460 101600 102400 106560 111000 112776 113664 114300 115200 117475 118400 119352 121920 124325 127000 128000 130048 133200 140970 142080 142875 144000 146304 148000 149190 150368 151552 152400 153600 159136 162560 166500 169164 170496 177600 179028 182880 184001 184320 187960 189440 190500 192000 195072 198920 203200 211455 213120 222000 223785 225552 227328 228600 230400 234950 236800 238704 243840 248650 254000 256000 260096 266400 281940 284160 285750 288000 292608 296000 298380 300736 304800 307200 318272 325120 333000 338328 340992 352425 355200 358056 365760 368002 372975 375920 378880 381000 384000 390144 397840 406400 422910 426240 444000 447570 451104 454656 457200 460800 469900 473600 477408 487680 497300 508000 512000 520192 532800 552003 563880 568320 571500 576000 585216 587375 592000 596760 601472 609600 621625 631571 636544 650240 666000 676656 681984 704850 710400 716112 731520 736004 745950 751840 757760 762000 768000 780288 795680 812800 845820 852480 888000 895140 902208 914400 920005 921600 939800 947200 954816 975360 994600 1016000 1057275 1065600 1104006 1118925 1127760 1136640 1143000 1152000 1170432 1174750 1184000 1193520 1202944 1219200 1243250 1263142 1273088 1300480 1332000 1353312 1363968 1409700 1420800 1432224 1463040 1472008 1491900 1503680 1524000 1536000 1560576 1591360 1625600 1656009 1691640 1704960 1762125 1776000 1790280 1804416 1828800 1840010 1864875 1879600 1894400 1894713 1909632 1950720 1989200 2032000 2114550 2131200 2208012 2237850 2255520 2273280 2286000 2304000 2340864 2349500 2368000 2387040 2405888 2438400 2486500 2526284 2546176 2600960 2664000 2706624 2760015 2819400 2841600 2864448 2926080 2944016 2983800 3007360 3048000 3157855 3182720 3251200 3312018 3383280 3409920 3524250 3552000 3580560 3608832 3657600 3680020 3729750 3759200 3788800 3789426 3819264 3901440 3978400 4064000 4229100 4262400 4416024 4475700 4511040 4572000 4600025 4608000 4681728 4699000 4736000 4774080 4811776 4876800 4973000 5052568 5092352 5286375 5328000 5413248 5520030 5594625 5638800 5683200 5684139 5728896 5852160 5888032 5967600 6014720 6096000 6315710 6365440 6502400 6624036 6766560 6819840 7048500 7104000 7161120 7217664 7315200 7360040 7459500 7518400 7578852 7638528 7802880 7956800 8128000 8280045 8458200 8524800 8832048 8951400 9022080 9144000 9200050 9398000 9472000 9473565 9548160 9623552 9753600 9946000 10105136 10184704 10572750 10656000 10826496 11040060 11189250 11277600 11366400 11368278 11457792 11704320 11776064 11935200 12029440 12192000 12631420 12730880 13004800 13248072 13533120 13800075 14097000 14208000 14322240 14435328 14630400 14720080 14919000 15036800 15157704 15277056 15789275 15913600 16256000 16560090 16916400 17049600 17664096 17902800 18044160 18288000 18400100 18796000 18944000 18947130 19096320 19247104 19507200 19892000 20210272 20369408 21145500 21312000 21652992 22080120 22378500 22555200 22736556 22915584 23000125 23368127 23408640 23552128 23870400 24058880 24384000 25262840 25461760 26496144 27066240 27600150 28194000 28416000 28420695 28644480 28870656 29260800 29440160 29838000 30073600 30315408 30554112 31578550 31827200 32512000 33120180 33832800 34099200 35328192 35805600 36088320 36576000 36800200 37592000 37894260 38192640 39014400 39784000 40420544 41400225 42291000 42624000 43305984 44160240 44757000 45110400 45473112 45831168 46000250 46736254 47104256 47367825 47740800 48117760 48768000 50525680 50923520 52992288 54132480 55200300 56388000 56832000 56841390 57288960 57741312 58521600 58880320 59676000 60147200 60630816 61108224 63157100 63654400 65024000 66240360 67665600 69000375 70104381 70656384 71611200 72176640 73152000 73600400 75184000 75788520 76385280 78946375 79568000 80841088 82800450 84582000 85248000 86611968 88320480 89514000 90220800 90946224 91662336 92000500 93472508 94208512 94735650 95481600 96235520 97536000 101051360 101847040 105984576 108264960 110400600 112776000 113682780 114577920 116840635 117043200 117760640 119352000 120294400 121261632 126314200 127308800 132480720 135331200 138000750 140208762 141312768 142103475 143222400 144353280 146304000 147200800 150368000 151577040 152770560 157892750 159136000 161682176 165600900 169164000 170496000 173223936 176640960 179028000 180441600 181892448 183324672 184001000 186945016 188417024 189471300 190963200 195072000 202102720 207001125 210313143 211969152 216529920 220801200 225552000 227365560 229155840 233681270 235521280 236839125 238704000 240588800 242523264 252628400 254617600 264961440 270662400 276001500 280417524 282625536 284206950 286444800 288706560 292608000 294401600 300736000 303154080 305541120 315785500 318272000 323364352 331201800 338328000 350521905 353281920 358056000 360883200 363784896 368002000 373890032 376834048 378942600 381926400 404205440 414002250 420626286 423938304 433059840 441602400 451104000 454731120 458311680 467362540 471042560 473678250 477408000 481177600 485046528 505256800 509235200 529922880 541324800 552003000 560835048 565251072 568413900 572889600 584203175 585216000 588803200 601472000 606308160 631571000 636544000 646728704 662403600 676656000 701043810 706563840 710517375 716112000 721766400 727569792 736004000 747780064 753668096 757885200 763852800 808410880 828004500 841252572 847876608 866119680 883204800 902208000 909462240 916623360 934725080 942085120 947356500 954816000 970093056 1010513600 1051565715 1059845760 1082649600 1104006000 1121670096 1130502144 1136827800 1145779200 1168406350 1177606400 1202944000 1212616320 1263142000 1273088000 1293457408 1324807200 1353312000 1402087620 1413127680 1421034750 1432224000 1443532800 1455139584 1472008000 1495560128 1515770400 1527705600 1616821760 1656009000 1682505144 1695753216 1752609525 1766409600 1804416000 1818924480 1869450160 1884170240 1894713000 1909632000 1940186112 2021027200 2103131430 2119691520 2165299200 2208012000 2243340192 2261004288 2273655600 2291558400 2336812700 2355212800 2405888000 2425232640 2526284000 2546176000 2586914816 2649614400 2706624000 2804175240 2826255360 2842069500 2864448000 2910279168 2921015875 2944016000 2991120256 3031540800 3233643520 3312018000 3365010288 3391506432 3505219050 3532819200 3608832000 3637848960 3738900320 3768340480 3789426000 3819264000 3880372224 4042054400 4206262860 4239383040 4330598400 4416024000 4486680384 4547311200 4583116800 4673625400 4710425600 4850465280 5052568000 5257828575 5299228800 5413248000 5608350480 5652510720 5684139000 5728896000 5820558336 5842031750 5888032000 5982240512 6063081600 6467287040 6624036000 6730020576 6783012864 7010438100 7065638400 7217664000 7275697920 7477800640 7578852000 7638528000 7760744448 8084108800 8412525720 8478766080 8763047625 8832048000 8973360768 9094622400 9347250800 9420851200 9700930560 10105136000 10515657150 10598457600 10826496000 11216700960 11305021440 11368278000 11457792000 11641116672 11684063500 11776064000 11964481024 12126163200 12934574080 13248072000 13460041152 14020876200 14131276800 14551395840 14955601280 15157704000 16168217600 16825051440 16957532160 17526095250 17664096000 17946721536 18189244800 18694501600 18841702400 19401861120 20210272000 21031314300 21196915200 21652992000 22433401920 22736556000 22915584000 23282233344 23368127000 23552128000 23928962048 24252326400 26289142875 26496144000 26920082304 28041752400 28262553600 29102791680 29911202560 30315408000 32336435200 33650102880 33915064320 35052190500 35328192000 35893443072 36378489600 37389003200 38803722240 40420544000 42062628600 42393830400 44866803840 45473112000 46736254000 47104256000 47857924096 48504652800 52578285750 52992288000 53840164608 56083504800 56525107200 58205583360 59822405120 60630816000 64672870400 67300205760 70104381000 70656384000 71786886144 72756979200 74778006400 80841088000 84125257200 84787660800 89733607680 90946224000 93472508000 94208512000 95715848192 97009305600 105156571500 105984576000 107680329216 112167009600 116411166720 119644810240 121261632000 134600411520 140208762000 141312768000 143573772288 145513958400 149556012800 161682176000 168250514400 169575321600 179467215360 181892448000 186945016000 194018611200 210313143000 211969152000 215360658432 224334019200 239289620480 242523264000 269200823040 280417524000 282625536000 287147544576 291027916800 299112025600 323364352000 336501028800 358934430720 363784896000 373890032000 420626286000 423938304000 430721316864 448668038400 478579240960 485046528000 538401646080 560835048000 582055833600 598224051200 673002057600 717868861440 727569792000 747780064000 841252572000 847876608000 861442633728 897336076800 970093056000 1076803292160 1121670096000 1196448102400 1346004115200 1435737722880 1455139584000 1495560128000 1682505144000 1794672153600 2153606584320 2243340192000 2392896204800 2692008230400 2910279168000 2991120256000 3365010288000 3589344307200 4307213168640 4486680384000 5384016460800 5982240512000 6730020576000 7178688614400 8973360768000 10768032921600 11964481024000 13460041152000 17946721536000 21536065843200 26920082304000 35893443072000 53840164608000 107680329216000
- Sum of all divisors σ(n): 401887245846528
- Sum of proper divisors (its aliquot sum) s(n): 294206916630528
- 107680329216000 is an abundant number, because the sum of its proper divisors (294206916630528) is greater than itself. Its abundance is 186526587414528
Bases of 107680329216000
- Binary: 110000111101111010001111100010110110000000000002
- Hexadecimal: 0x61EF47C5B000
- Base-36: 1263NRSHS0
Squares and roots of 107680329216000
- 107680329216000 squared (1076803292160002) is 11595053300066143174656000000
- 107680329216000 cubed (1076803292160003) is 1248559156628189531622349467549696000000000
-
The
square root of 107680329216000 is 10376913.2797764095 -
The
cube root of 107680329216000 is 47574.9994082045
Scales and comparisons
How big is 107680329216000?- 107,680,329,216,000 seconds is equal to 3,423,901 years, 20 weeks, 2 days, 16 hours.
-
To count from 1 to 107,680,329,216,000 would take you about eight million, five hundred fifty-nine thousand, seven hundred fifty-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 107680329216000 cubic inches would be around 3964.6 feet tall.
Recreational maths with 107680329216000
- 107680329216000 backwards is 000612923086701
- 107680329216000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 107680329216000's digits is 45
- More coming soon!
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The information we have on file for 107680329216000 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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