137680105472000
137,680,105,472,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 137680105472000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1024 divisors.
137680105472000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and twenty-four divisors.
Prime factorization of 137680105472000:
215 × 53 × 7 × 13 × 229 × 1613
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 13 × 229 × 1613)See below for interesting mathematical facts about the number 137680105472000 from the Numbermatics database.
Names of 137680105472000
- Cardinal: 137680105472000 can be written as One hundred thirty-seven trillion, six hundred eighty billion, one hundred five million, four hundred seventy-two thousand.
Scientific notation
- Scientific notation: 1.37680105472 × 1014
Factors of 137680105472000
Divisors of 137680105472000
- Number of divisors d(n): 1024
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 32 35 40 50 52 56 64 65 70 80 91 100 104 112 125 128 130 140 160 175 182 200 208 224 229 250 256 260 280 320 325 350 364 400 416 448 455 458 500 512 520 560 640 650 700 728 800 832 875 896 910 916 1000 1024 1040 1120 1145 1280 1300 1400 1456 1600 1603 1613 1625 1664 1750 1792 1820 1832 2000 2048 2080 2240 2275 2290 2560 2600 2800 2912 2977 3200 3206 3226 3250 3328 3500 3584 3640 3664 4000 4096 4160 4480 4550 4580 5120 5200 5600 5725 5824 5954 6400 6412 6452 6500 6656 7000 7168 7280 7328 8000 8015 8065 8192 8320 8960 9100 9160 10240 10400 11200 11291 11375 11450 11648 11908 12800 12824 12904 13000 13312 14000 14336 14560 14656 14885 16000 16030 16130 16384 16640 17920 18200 18320 20480 20800 20839 20969 22400 22582 22750 22900 23296 23816 25600 25648 25808 26000 26624 28000 28625 28672 29120 29312 29770 32000 32060 32260 32768 33280 35840 36400 36640 40075 40325 40960 41600 41678 41938 44800 45164 45500 45800 46592 47632 51200 51296 51616 52000 53248 56000 56455 57250 57344 58240 58624 59540 64000 64120 64520 66560 71680 72800 73280 74425 80150 80650 81920 83200 83356 83876 89600 90328 91000 91600 93184 95264 102400 102592 103232 104000 104195 104845 106496 112000 112910 114500 114688 116480 117248 119080 128000 128240 129040 133120 143360 145600 146560 146783 148850 160300 161300 163840 166400 166712 167752 179200 180656 182000 183200 186368 190528 200375 201625 204800 205184 206464 208000 208390 209690 212992 224000 225820 229000 229376 232960 234496 238160 256000 256480 258080 266240 282275 286720 291200 293120 293566 297700 320600 322600 332800 333424 335504 358400 361312 364000 366400 369377 372125 372736 381056 400750 403250 409600 410368 412928 416000 416780 419380 425984 448000 451640 458000 465920 468992 476320 512000 512960 516160 520975 524225 532480 564550 573440 582400 586240 587132 595400 641200 645200 665600 666848 671008 716800 722624 728000 732800 733915 738754 744250 745472 762112 801500 806500 819200 820736 825856 832000 833560 838760 896000 903280 916000 931840 937984 952640 1024000 1025920 1032320 1041950 1048450 1064960 1129100 1146880 1164800 1172480 1174264 1190800 1282400 1290400 1331200 1333696 1342016 1411375 1433600 1445248 1456000 1465600 1467830 1477508 1488500 1490944 1524224 1603000 1613000 1641472 1651712 1664000 1667120 1677520 1792000 1806560 1832000 1846885 1863680 1875968 1905280 2048000 2051840 2064640 2083900 2096900 2129920 2258200 2329600 2344960 2348528 2381600 2564800 2580800 2585639 2604875 2621125 2662400 2667392 2684032 2822750 2867200 2890496 2912000 2931200 2935660 2955016 2977000 2981888 3048448 3206000 3226000 3282944 3303424 3328000 3334240 3355040 3584000 3613120 3664000 3669575 3693770 3727360 3751936 3810560 4096000 4103680 4129280 4167800 4193800 4516400 4659200 4689920 4697056 4763200 4801901 5129600 5161600 5171278 5209750 5242250 5324800 5334784 5368064 5645500 5734400 5780992 5824000 5862400 5871320 5910032 5954000 6096896 6412000 6452000 6565888 6606848 6656000 6668480 6710080 7168000 7226240 7328000 7339150 7387540 7454720 7503872 7621120 8207360 8258560 8335600 8387600 9032800 9234425 9318400 9379840 9394112 9526400 9603802 10259200 10323200 10342556 10419500 10484500 10649600 10669568 10736128 11291000 11561984 11648000 11724800 11742640 11820064 11908000 12193792 12824000 12904000 12928195 13131776 13213696 13312000 13336960 13420160 14336000 14452480 14656000 14678300 14775080 14909440 15242240 16414720 16517120 16671200 16775200 18065600 18347875 18468850 18636800 18759680 18788224 19052800 19207604 20518400 20646400 20685112 20839000 20969000 21339136 21472256 22582000 23123968 23296000 23449600 23485280 23640128 23816000 24009505 24387584 25648000 25808000 25856390 26263552 26427392 26624000 26673920 26840320 28672000 28904960 29312000 29356600 29550160 30484480 32829440 33034240 33342400 33550400 33613307 36131200 36695750 36937700 37273600 37519360 37576448 38105600 38415208 41036800 41292800 41370224 41678000 41938000 42678272 42944512 45164000 46172125 46247936 46592000 46899200 46970560 47280256 47632000 48019010 48775168 51296000 51616000 51712780 52527104 52854784 53248000 53347840 53680640 57809920 58624000 58713200 59100320 60968960 64640975 65658880 66068480 66684800 67100800 67226614 72262400 73391500 73875400 74547200 75152896 76211200 76830416 82073600 82585600 82740448 83356000 83876000 85356544 85889024 90328000 92344250 92495872 93184000 93798400 93941120 94560512 95264000 96038020 97550336 102592000 103232000 103425560 106695680 107361280 115619840 117248000 117426400 118200640 120047525 121937920 129281950 131317760 132136960 133369600 134201600 134453228 144524800 146783000 147750800 150305792 152422400 153660832 164147200 165171200 165480896 166712000 167752000 168066535 170713088 171778048 180656000 184688500 184991744 186368000 187596800 187882240 189121024 190528000 192076040 205184000 206464000 206851120 213391360 214722560 231239680 234496000 234852800 236401280 240095050 243875840 258563900 262635520 264273920 266739200 268403200 268906456 289049600 293566000 295501600 300611584 304844800 307321664 323204875 328294400 330342400 330961792 333424000 335504000 336133070 341426176 343556096 361312000 369377000 369983488 372736000 375764480 378242048 381056000 384152080 410368000 412928000 413702240 426782720 429445120 462479360 468992000 469705600 472802560 480190100 487751680 517127800 533478400 536806400 537812912 578099200 587132000 591003200 600237625 601223168 609689600 614643328 646409750 656588800 660684800 661923584 666848000 671008000 672266140 682852352 687112192 722624000 738754000 751528960 756484096 762112000 768304160 820736000 825856000 827404480 840332675 853565440 858890240 924958720 937984000 939411200 945605120 960380200 1034255600 1066956800 1073612800 1075625824 1156198400 1174264000 1182006400 1200475250 1202446336 1219379200 1229286656 1292819500 1313177600 1321369600 1323847168 1333696000 1342016000 1344532280 1445248000 1477508000 1503057920 1512968192 1524224000 1536608320 1641472000 1651712000 1654808960 1680665350 1707130880 1717780480 1849917440 1878822400 1891210240 1920760400 2068511200 2133913600 2147225600 2151251648 2312396800 2348528000 2364012800 2400950500 2404892672 2438758400 2458573312 2585639000 2647694336 2667392000 2684032000 2689064560 2890496000 2955016000 3006115840 3025936384 3048448000 3073216640 3282944000 3303424000 3309617920 3361330700 3414261760 3435560960 3757644800 3782420480 3841520800 4137022400 4201663375 4267827200 4294451200 4302503296 4624793600 4697056000 4728025600 4801901000 4809785344 4917146624 5171278000 5295388672 5334784000 5368064000 5378129120 5780992000 5910032000 6012231680 6051872768 6096896000 6146433280 6565888000 6606848000 6619235840 6722661400 7515289600 7564840960 7683041600 8274044800 8403326750 8535654400 8588902400 8605006592 9249587200 9394112000 9456051200 9603802000 9834293248 10342556000 10590777344 10669568000 10736128000 10756258240 11561984000 11820064000 12024463360 12103745536 12193792000 12292866560 13238471680 13445322800 15030579200 15129681920 15366083200 16548089600 16806653500 17071308800 17177804800 17210013184 18788224000 18912102400 19207604000 19668586496 20685112000 21181554688 21339136000 21472256000 21512516480 23123968000 23640128000 24048926720 24585733120 26476943360 26890645600 30061158400 30259363840 30732166400 33096179200 33613307000 34420026368 37576448000 37824204800 38415208000 39337172992 41370224000 42363109376 42678272000 42944512000 43025032960 46247936000 47280256000 49171466240 52953886720 53781291200 60122316800 60518727680 61464332800 66192358400 67226614000 68840052736 75152896000 75648409600 76830416000 78674345984 82740448000 84726218752 85356544000 85889024000 86050065920 94560512000 98342932480 105907773440 107562582400 120244633600 122928665600 132384716800 134453228000 137680105472 150305792000 151296819200 153660832000 157348691968 165480896000 172100131840 189121024000 196685864960 211815546880 215125164800 245857331200 264769433600 268906456000 275360210944 300611584000 302593638400 307321664000 330961792000 344200263680 378242048000 393371729920 423631093760 430250329600 491714662400 529538867200 537812912000 550720421888 601223168000 614643328000 661923584000 688400527360 756484096000 786743459840 860500659200 983429324800 1059077734400 1075625824000 1101440843776 1229286656000 1323847168000 1376801054720 1512968192000 1721001318400 1966858649600 2118155468800 2151251648000 2458573312000 2647694336000 2753602109440 3442002636800 3933717299200 4302503296000 4917146624000 5295388672000 5507204218880 6884005273600 8605006592000 9834293248000 10590777344000 13768010547200 17210013184000 19668586496000 27536021094400 34420026368000 68840052736000 137680105472000
- Sum of all divisors σ(n): 425057115974400
- Sum of proper divisors (its aliquot sum) s(n): 287377010502400
- 137680105472000 is an abundant number, because the sum of its proper divisors (287377010502400) is greater than itself. Its abundance is 149696905030400
Bases of 137680105472000
- Binary: 111110100111000001001011100011110000000000000002
- Hexadecimal: 0x7D3825C78000
- Base-36: 1CSXD803Y8
Squares and roots of 137680105472000
- 137680105472000 squared (1376801054720002) is 18955811442781044342784000000
- 137680105472000 cubed (1376801054720003) is 2609838118749438678116810042114048000000000
-
The
square root of 137680105472000 is 11733716.6094976063 -
The
cube root of 137680105472000 is 51636.5316128781
Scales and comparisons
How big is 137680105472000?- 137,680,105,472,000 seconds is equal to 4,377,801 years, 25 weeks, 6 hours, 13 minutes, 20 seconds.
-
To count from 1 to 137,680,105,472,000 would take you about ten million, nine hundred forty-four thousand, five 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 137680105472000 cubic inches would be around 4303 feet tall.
Recreational maths with 137680105472000
- 137680105472000 backwards is 000274501086731
- The number of decimal digits it has is: 15
- The sum of 137680105472000's digits is 44
- More coming soon!
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The information we have on file for 137680105472000 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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