137680686967808000
137,680,686,967,808,000 is an even composite number composed of four prime numbers multiplied together.
137680686967808000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of eight hundred ninety-six divisors.
Prime factorization of 137680686967808000:
213 × 53 × 473 × 1093
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 47 × 47 × 47 × 109 × 109 × 109)See below for interesting mathematical facts about the number 137680686967808000 from the Numbermatics database.
Names of 137680686967808000
- Cardinal: 137680686967808000 can be written as One hundred thirty-seven quadrillion, six hundred eighty trillion, six hundred eighty-six billion, nine hundred sixty-seven million, eight hundred eight thousand.
Scientific notation
- Scientific notation: 1.37680686967808 × 1017
Factors of 137680686967808000
Divisors of 137680686967808000
- Number of divisors d(n): 896
-
Complete list of divisors:
1 2 4 5 8 10 16 20 25 32 40 47 50 64 80 94 100 109 125 128 160 188 200 218 235 250 256 320 376 400 436 470 500 512 545 640 752 800 872 940 1000 1024 1090 1175 1280 1504 1600 1744 1880 2000 2048 2180 2209 2350 2560 2725 3008 3200 3488 3760 4000 4096 4360 4418 4700 5120 5123 5450 5875 6016 6400 6976 7520 8000 8192 8720 8836 9400 10240 10246 10900 11045 11750 11881 12032 12800 13625 13952 15040 16000 17440 17672 18800 20480 20492 21800 22090 23500 23762 24064 25600 25615 27250 27904 30080 32000 34880 35344 37600 40960 40984 43600 44180 47000 47524 48128 51200 51230 54500 55225 55808 59405 60160 64000 69760 70688 75200 81968 87200 88360 94000 95048 96256 102400 102460 103823 109000 110450 111616 118810 120320 128000 128075 139520 141376 150400 163936 174400 176720 188000 190096 192512 204800 204920 207646 218000 220900 223232 237620 240640 240781 256000 256150 276125 279040 282752 297025 300800 327872 348800 353440 376000 380192 385024 409840 415292 436000 441800 446464 475240 481280 481562 512000 512300 519115 552250 558080 558407 565504 594050 601600 640375 655744 697600 706880 752000 760384 819680 830584 872000 883600 892928 950480 962560 963124 1024000 1024600 1038230 1104500 1116160 1116814 1131008 1188100 1203200 1203905 1280750 1295029 1311488 1395200 1413760 1485125 1504000 1520768 1639360 1661168 1744000 1767200 1900960 1925120 1926248 2049200 2076460 2209000 2232320 2233628 2262016 2376200 2406400 2407810 2561500 2590058 2595575 2622976 2790400 2792035 2827520 2970250 3008000 3041536 3278720 3322336 3488000 3534400 3801920 3852496 4098400 4152920 4418000 4464640 4467256 4524032 4752400 4812800 4815620 5123000 5180116 5191150 5245952 5580800 5584070 5655040 5940500 6016000 6019525 6083072 6475145 6557440 6644672 6976000 7068800 7603840 7704992 8196800 8305840 8836000 8934512 9048064 9504800 9625600 9631240 10246000 10360232 10382300 10491904 11161600 11168140 11310080 11316707 11881000 12032000 12039050 12166144 12950290 12977875 13114880 13289344 13952000 13960175 14137600 15207680 15409984 16393600 16611680 17672000 17869024 18096128 19009600 19262480 20492000 20720464 20764600 20983808 22323200 22336280 22620160 22633414 23762000 24064000 24078100 24332288 25900580 25955750 26229760 26245129 26578688 27904000 27920350 28275200 30097625 30415360 30819968 32375725 32787200 33223360 35344000 35738048 38019200 38524960 40984000 41440928 41529200 41967616 44672560 45240320 45266828 47524000 48128000 48156200 48664576 51801160 51911500 52459520 52490258 53157376 55808000 55840700 56550400 56583535 60195250 60830720 60866363 61639936 64751450 65574400 66446720 69800875 70688000 71476096 76038400 77049920 81968000 82881856 83058400 89345120 90480640 90533656 95048000 96312400 97329152 103602320 103823000 104919040 104980516 106314752 111616000 111681400 113100800 113167070 120390500 121661440 121732726 123279872 129502900 131148800 131225645 132893440 139601750 141376000 142952192 152076800 154099840 161878625 163936000 165763712 166116800 178690240 181067312 190096000 192624800 207204640 207646000 209838080 209961032 212629504 223362800 226201600 226334140 240781000 243322880 243465452 246559744 259005800 262297600 262451290 265786880 279203500 282752000 282917675 285904384 304153600 304331815 308199680 323757250 327872000 331527424 332233600 357380480 362134624 380192000 385249600 414409280 415292000 419922064 425259008 446725600 452403200 452668280 481562000 486645760 486930904 493119488 518011600 524595200 524902580 531573760 558407000 565504000 565835350 571808768 608307200 608663630 616399360 647514500 655744000 656128225 663054848 664467200 714760960 724269248 760384000 770499200 828818560 830584000 839844128 850518016 893451200 905336560 963124000 973861808 986238976 1036023200 1049190400 1049805160 1063147520 1116814000 1131008000 1131670700 1143617536 1216614400 1217327260 1232798720 1233521063 1295029000 1311488000 1312256450 1326109696 1328934400 1414588375 1429521920 1448538496 1520768000 1521659075 1540998400 1657637120 1661168000 1679688256 1786902400 1810673120 1926248000 1947723616 1972477952 2072046400 2099610320 2126295040 2233628000 2262016000 2263341400 2287235072 2433228800 2434654520 2465597440 2467042126 2590058000 2622976000 2624512900 2652219392 2657868800 2829176750 2859043840 2860719061 2897076992 3041536000 3043318150 3081996800 3280641125 3315274240 3322336000 3359376512 3573804800 3621346240 3852496000 3895447232 4144092800 4199220640 4252590080 4467256000 4526682800 4574470144 4869309040 4931194880 4934084252 5180116000 5245952000 5249025800 5304438784 5315737600 5658353500 5718087680 5721438122 5794153984 6083072000 6086636300 6163993600 6167605315 6561282250 6630548480 6644672000 6718753024 7147609600 7242692480 7608295375 7704992000 7790894464 8288185600 8398441280 8934512000 9053365600 9738618080 9862389760 9868168504 10360232000 10498051600 10608877568 10631475200 11316707000 11436175360 11442876244 11588307968 12166144000 12173272600 12327987200 12335210630 13122564500 13261096960 13289344000 13437506048 14295219200 14303595305 14485384960 15216590750 15409984000 15581788928 16576371200 16796882560 17869024000 18106731200 19477236160 19736337008 20720464000 20996103200 21262950400 22633414000 22872350720 22885752488 23176615936 24346545200 24655974400 24670421260 26245129000 26522193920 26578688000 26875012096 28590438400 28607190610 28970769920 30433181500 30819968000 30838026575 31163577856 33152742400 33593765120 35738048000 36213462400 38954472320 39472674016 41440928000 41992206400 45266828000 45771504976 46353231872 48693090400 49311948800 49340842520 52490258000 53044387840 53157376000 53750024192 57180876800 57214381220 57941539840 60866363000 61639936000 61676053150 62327155712 66305484800 67187530240 71476096000 71517976525 72426924800 77908944640 78945348032 82881856000 83984412800 90533656000 91543009952 92706463744 97386180800 98681685040 104980516000 106314752000 107500048384 114361753600 114428762440 115883079680 121732726000 123279872000 123352106300 124654311424 132610969600 134375060480 134453795867 142952192000 143035953050 144853849600 154190132875 155817889280 157890696064 165763712000 167968825600 181067312000 183086019904 194772361600 197363370080 209961032000 215000096768 228857524880 231766159360 243465452000 246559744000 246704212600 249308622848 265221939200 268750120960 268907591734 285904384000 286071906100 289707699200 308380265750 311635778560 315781392128 331527424000 335937651200 357589882625 362134624000 366172039808 389544723200 394726740160 419922064000 457715049760 463532318720 486930904000 493408425200 498617245696 537500241920 537815183468 571808768000 572143812200 579415398400 616760531500 623271557120 631562784256 663054848000 671875302400 672268979335 715179765250 724269248000 732344079616 779089446400 789453480320 839844128000 915430099520 973861808000 986816850400 1075000483840 1075630366936 1144287624400 1158830796800 1233521063000 1246543114240 1263125568512 1326109696000 1343750604800 1344537958670 1430359530500 1448538496000 1464688159232 1558178892800 1578906960640 1679688256000 1830860199040 1947723616000 1973633700800 2151260733872 2288575248800 2317661593600 2467042126000 2493086228480 2526251137024 2687501209600 2689075917340 2860719061000 2897076992000 2929376318464 3116357785600 3157813921280 3359376512000 3361344896675 3661720398080 3895447232000 3947267401600 4302521467744 4577150497600 4934084252000 5052502274048 5375002419200 5378151834680 5721438122000 5794153984000 5858752636928 6232715571200 6315627842560 6718753024000 6722689793350 7323440796160 7790894464000 7894534803200 8605042935488 9154300995200 9868168504000 10105004548096 10756303669360 11442876244000 11588307968000 11717505273856 12465431142400 12631255685120 13437506048000 13445379586700 14646881592320 15581788928000 15789069606400 16806724483375 17210085870976 18308601990400 19736337008000 21512607338720 22885752488000 23435010547712 25262511370240 26875012096000 26890759173400 29293763184640 31163577856000 31578139212800 33613448966750 34420171741952 36617203980800 39472674016000 43025214677440 45771504976000 50525022740480 53781518346800 58587526369280 62327155712000 63156278425600 67226897933500 68840343483904 73234407961600 78945348032000 86050429354880 91543009952000 107563036693600 117175052738560 126312556851200 134453795867000 137680686967808 146468815923200 157890696064000 172100858709760 183086019904000 215126073387200 252625113702400 268907591734000 275361373935616 292937631846400 315781392128000 344201717419520 366172039808000 430252146774400 537815183468000 550722747871232 585875263692800 631562784256000 688403434839040 732344079616000 860504293548800 1075630366936000 1101445495742464 1263125568512000 1376806869678080 1464688159232000 1721008587097600 2151260733872000 2753613739356160 2929376318464000 3442017174195200 4302521467744000 5507227478712320 6884034348390400 8605042935488000 13768068696780800 17210085870976000 27536137393561600 34420171741952000 68840343483904000 137680686967808000
- Sum of all divisors σ(n): 354351090701836800
- Sum of proper divisors (its aliquot sum) s(n): 216670403734028800
- 137680686967808000 is an abundant number, because the sum of its proper divisors (216670403734028800) is greater than itself. Its abundance is 78989716766220800
Bases of 137680686967808000
- Binary: 1111010010010001111011010111101110010010111100000000000002
- Hexadecimal: 0x1E923DAF725E000
- Base-36: 11NNQAF6MZNK
Squares and roots of 137680686967808000
- 137680686967808000 squared (1376806869678080002) is 18955971563927535649228324864000000
- 137680686967808000 cubed (1376806869678080003) is 2609871187063776889816791559514743333978112000000000
-
The
square root of 137680686967808000 is 371053482.6245510391 -
The
cube root of 137680686967808000 is 516366.0430889149
Scales and comparisons
How big is 137680686967808000?- 137,680,686,967,808,000 seconds is equal to 4,377,819,971 years, 12 weeks, 6 days, 19 hours, 33 minutes, 20 seconds.
-
To count from 1 to 137,680,686,967,808,000 would take you about thirteen billion, one hundred thirty-three million, four hundred fifty-nine thousand, nine hundred thirteen 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 137680686967808000 cubic inches would be around 43030.5 feet tall.
Recreational maths with 137680686967808000
- 137680686967808000 backwards is 000808769686086731
- The number of decimal digits it has is: 18
- The sum of 137680686967808000's digits is 83
- More coming soon!
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The information we have on file for 137680686967808000 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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