131938583350144000
131,938,583,350,144,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 131938583350144000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1408 divisors.
131938583350144000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, four hundred eight divisors.
Prime factorization of 131938583350144000:
210 × 53 × 37 × 61 × 127 × 313 × 11489
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 37 × 61 × 127 × 313 × 11489)See below for interesting mathematical facts about the number 131938583350144000 from the Numbermatics database.
Names of 131938583350144000
- Cardinal: 131938583350144000 can be written as One hundred thirty-one quadrillion, nine hundred thirty-eight trillion, five hundred eighty-three billion, three hundred fifty million, one hundred forty-four thousand.
Scientific notation
- Scientific notation: 1.31938583350144 × 1017
Factors of 131938583350144000
Divisors of 131938583350144000
- Number of divisors d(n): 1408
-
Complete list of divisors:
1 2 4 5 8 10 16 20 25 32 37 40 50 61 64 74 80 100 122 125 127 128 148 160 185 200 244 250 254 256 296 305 313 320 370 400 488 500 508 512 592 610 626 635 640 740 800 925 976 1000 1016 1024 1184 1220 1252 1270 1280 1480 1525 1565 1600 1850 1952 2000 2032 2257 2368 2440 2504 2540 2560 2960 3050 3130 3175 3200 3700 3904 4000 4064 4514 4625 4699 4736 4880 5008 5080 5120 5920 6100 6260 6350 6400 7400 7625 7747 7808 7825 8000 8128 9028 9250 9398 9472 9760 10016 10160 11285 11489 11581 11840 12200 12520 12700 12800 14800 15250 15494 15616 15650 15875 16000 16256 18056 18500 18796 18944 19093 19520 20032 20320 22570 22978 23162 23495 23680 24400 25040 25400 25600 29600 30500 30988 31232 31300 31750 32000 32512 36112 37000 37592 37888 38186 38735 39040 39125 39751 40064 40640 45140 45956 46324 46990 47360 48800 50080 50800 56425 57445 57905 59200 61000 61976 62464 62600 63500 64000 65024 72224 74000 75184 76372 77470 78080 78250 79502 80128 81280 90280 91912 92648 93980 94720 95465 97600 100160 101600 112850 114890 115810 117475 118400 122000 123952 125200 127000 128000 130048 144448 148000 150368 152744 154940 156160 156500 159004 160256 162560 180560 183824 185296 187960 189440 190930 193675 195200 198755 200320 203200 225700 229780 231620 234950 236800 244000 247904 250400 254000 282125 286639 287225 288896 289525 296000 300736 305488 309880 312320 313000 318008 320512 325120 361120 367648 370592 375920 381860 387350 390400 397510 400640 406400 425093 451400 459560 463240 469900 473600 477325 488000 495808 500800 508000 564250 573278 574450 577792 579050 587375 592000 601472 610976 619760 626000 636016 650240 700829 706441 722240 735296 741184 751840 763720 774700 780800 795020 801280 812800 850186 902800 919120 926480 939800 947200 954650 968375 976000 991616 993775 1001600 1016000 1128500 1146556 1148900 1155584 1158100 1174750 1184000 1202944 1221952 1239520 1252000 1272032 1401658 1412882 1433195 1436125 1444480 1447625 1459103 1470592 1470787 1482368 1503680 1527440 1549400 1561600 1590040 1602560 1625600 1700372 1805600 1838240 1852960 1879600 1909300 1936750 1952000 1983232 1987550 2003200 2032000 2125465 2257000 2293112 2297800 2311168 2316200 2349500 2368000 2386625 2405888 2424811 2443904 2479040 2504000 2544064 2803316 2825764 2866390 2872250 2888960 2895250 2918206 2941184 2941574 2964736 3007360 3054880 3098800 3180080 3251200 3400744 3504145 3532205 3596057 3611200 3676480 3705920 3759200 3818600 3873500 3904000 3966464 3975100 4006400 4064000 4250930 4514000 4586224 4595600 4632400 4699000 4736000 4773250 4811776 4849622 4887808 4958080 4968875 5008000 5088128 5606632 5651528 5732780 5744500 5777920 5790500 5836412 5882368 5883148 5929472 6014720 6109760 6197600 6360160 6801488 7008290 7064410 7165975 7192114 7222400 7295515 7352960 7353935 7411840 7518400 7637200 7747000 7808000 7932928 7950200 8012800 8128000 8501860 9028000 9172448 9191200 9264800 9398000 9546500 9699244 9775616 9916160 9937750 10016000 10176256 10627325 11213264 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178010566000 179436014000 182679695600 186765184000 188260736000 202907516225 207445384000 210764510144 212886574400 215947244000 219359477000 222869228632 224624104448 227853524480 228349619500 229678097920 230147648000 233830010368 259721620768 263455637680 266108218000 270365949488 276412472320 278586535790 280780130560 284816905600 287097622400 292287512960 310375808000 324652025960 329319547100 331912614400 337957436860 340618519040 345515590400 350975163200 356021132000 358872028000 365359391200 405815032450 411649433875 414890768000 421529020288 422446796075 425773148800 431894488000 438718954000 445738457264 455707048960 456699239000 459356195840 460295296000 467660020736 519443241536 526911275360 532216436000 540731898976 557173071580 561560261120 569633811200 574195244800 584575025920 649304051920 658639094200 663825228800 675914873720 681237038080 691031180800 696466339475 701950326400 712042264000 717744056000 730718782400 811630064900 823298867750 829781536000 843058040576 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4257731488000 4325855191808 4457384572640 5153850912115 5194432415360 5269112753600 5407318989760 5571730715800 5615602611200 5696338112000 5741952448000 5845750259200 6493040519200 6586390942000 6759148737200 6910311808000 6964663394750 7019503264000 7131815316224 7307187824000 8116300649000 8246161459384 8311091864576 8430580405760 8448935921500 8515462976000 8651710383616 8914769145280 10307701824230 10388864830720 10538225507200 10814637979520 11143461431600 11392676224000 11483904896000 11691500518400 12986081038400 13172781884000 13518297474400 13929326789500 14039006528000 14263630632448 14614375648000 16232601298000 16492322918768 16861160811520 16897871843000 17030925952000 17303420767232 17829538290560 20615403648460 20777729661440 21076451014400 21629275959040 22286922863200 25769254560575 25972162076800 26345563768000 27036594948800 27858653579000 28078013056000 28527261264896 29228751296000 32465202596000 32984645837536 33795743686000 35659076581120 41230807296920 41555459322880 42152902028800 43258551918080 44573845726400 51538509121150 51944324153600 52691127536000 54073189897600 55717307158000 58457502592000 64930405192000 65969291675072 67591487372000 71318153162240 82461614593840 84305804057600 86517103836160 89147691452800 103077018242300 103888648307200 105382255072000 108146379795200 111434614316000 128846272802875 129860810384000 131938583350144 135182974744000 142636306324480 164923229187680 178295382905600 206154036484600 207777296614400 210764510144000 216292759590400 222869228632000 257692545605750 259721620768000 263877166700288 270365949488000 329846458375360 356590765811200 412308072969200 421529020288000 432585519180800 445738457264000 515385091211500 519443241536000 527754333400576 540731898976000 659692916750720 713181531622400 824616145938400 891476914528000 1030770182423000 1038886483072000 1055508666801152 1081463797952000 1319385833501440 1649232291876800 1782953829056000 2061540364846000 2162927595904000 2638771667002880 3298464583753600 3565907658112000 4123080729692000 5277543334005760 6596929167507200 8246161459384000 13193858335014400 16492322918768000 26387716670028800 32984645837536000 65969291675072000 131938583350144000
- Sum of all divisors σ(n): 347438045730447360
- Sum of proper divisors (its aliquot sum) s(n): 215499462380303360
- 131938583350144000 is an abundant number, because the sum of its proper divisors (215499462380303360) is greater than itself. Its abundance is 83560879030159360
Bases of 131938583350144000
- Binary: 1110101001011110101110001010010001100000011101100000000002
- Hexadecimal: 0x1D4BD7148C0EC00
- Base-36: 1034BOFPEIV4
Squares and roots of 131938583350144000
- 131938583350144000 squared (1319385833501440002) is 17407789776442895534504820736000000
- 131938583350144000 cubed (1319385833501440003) is 2296759122360995560722414868610513039785984000000000
-
The
square root of 131938583350144000 is 363233510.7752917667 -
The
cube root of 131938583350144000 is 509085.3571200353
Scales and comparisons
How big is 131938583350144000?- 131,938,583,350,144,000 seconds is equal to 4,195,238,837 years, 36 weeks, 2 days, 23 hours, 6 minutes, 40 seconds.
-
To count from 1 to 131,938,583,350,144,000 would take you about twelve billion, five hundred eighty-five million, seven hundred sixteen thousand, five 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 131938583350144000 cubic inches would be around 42423.8 feet tall.
Recreational maths with 131938583350144000
- 131938583350144000 backwards is 000441053385839131
- The number of decimal digits it has is: 18
- The sum of 131938583350144000's digits is 58
- More coming soon!
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"Number 131938583350144000 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
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Numbermatics. (2024). Number 131938583350144000 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/131938583350144000/
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The information we have on file for 131938583350144000 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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