31680018005504000
31,680,018,005,504,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 31680018005504000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1248 divisors.
31680018005504000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, two hundred forty-eight divisors.
Prime factorization of 31680018005504000:
212 × 53 × 112 × 17 × 3113
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 11 × 11 × 17 × 311 × 311 × 311)See below for interesting mathematical facts about the number 31680018005504000 from the Numbermatics database.
Names of 31680018005504000
- Cardinal: 31680018005504000 can be written as Thirty-one quadrillion, six hundred eighty trillion, eighteen billion, five million, five hundred four thousand.
Scientific notation
- Scientific notation: 3.1680018005504 × 1016
Factors of 31680018005504000
Divisors of 31680018005504000
- Number of divisors d(n): 1248
-
Complete list of divisors:
1 2 4 5 8 10 11 16 17 20 22 25 32 34 40 44 50 55 64 68 80 85 88 100 110 121 125 128 136 160 170 176 187 200 220 242 250 256 272 275 311 320 340 352 374 400 425 440 484 500 512 544 550 605 622 640 680 704 748 800 850 880 935 968 1000 1024 1088 1100 1210 1244 1280 1360 1375 1408 1496 1555 1600 1700 1760 1870 1936 2000 2048 2057 2125 2176 2200 2420 2488 2560 2720 2750 2816 2992 3025 3110 3200 3400 3421 3520 3740 3872 4000 4096 4114 4250 4352 4400 4675 4840 4976 5120 5287 5440 5500 5632 5984 6050 6220 6400 6800 6842 7040 7480 7744 7775 8000 8228 8500 8704 8800 9350 9680 9952 10240 10285 10574 10880 11000 11264 11968 12100 12440 12800 13600 13684 14080 14960 15125 15488 15550 16000 16456 17000 17105 17408 17600 18700 19360 19904 20480 20570 21148 21760 22000 22528 23375 23936 24200 24880 25600 26435 27200 27368 28160 29920 30250 30976 31100 32000 32912 34000 34210 34816 35200 37400 37631 38720 38875 39808 41140 42296 43520 44000 45056 46750 47872 48400 49760 51200 51425 52870 54400 54736 56320 58157 59840 60500 61952 62200 64000 65824 68000 68420 69632 70400 74800 75262 77440 77750 79616 82280 84592 85525 87040 88000 93500 95744 96721 96800 99520 102400 102850 105740 108800 109472 112640 116314 119680 121000 123904 124400 128000 131648 132175 136000 136840 140800 149600 150524 154880 155500 159232 164560 169184 171050 174080 176000 187000 188155 191488 193442 193600 199040 205700 211480 217600 218944 225280 232628 239360 242000 247808 248800 256000 257125 263296 264350 272000 273680 281600 290785 299200 301048 309760 311000 318464 329120 338368 342100 348160 352000 374000 376310 382976 386884 387200 398080 411400 422960 427625 435200 437888 465256 478720 483605 484000 495616 497600 512000 514250 526592 528700 544000 547360 563200 581570 598400 602096 619520 622000 636928 639727 658240 660875 676736 684200 704000 748000 752620 765952 773768 774400 796160 822800 845920 855250 870400 875776 930512 940775 957440 967210 968000 995200 1028500 1053184 1057400 1063931 1088000 1094720 1126400 1163140 1196800 1204192 1239040 1244000 1273856 1279454 1316480 1321750 1353472 1368400 1408000 1453925 1496000 1505240 1547536 1548800 1592320 1644257 1645600 1691840 1710500 1740800 1751552 1861024 1881550 1914880 1934420 1936000 1990400 2057000 2106368 2114800 2127862 2176000 2189440 2326280 2393600 2408384 2418025 2478080 2488000 2558908 2632960 2643500 2706944 2736800 2816000 2907850 2992000 3010480 3095072 3097600 3184640 3198635 3288514 3291200 3383680 3421000 3503104 3722048 3763100 3829760 3868840 3872000 3980800 4114000 4212736 4229600 4255724 4352000 4378880 4652560 4703875 4787200 4816768 4836050 4976000 5117816 5265920 5287000 5319655 5413888 5473600 5632000 5815700 5984000 6020960 6190144 6195200 6369280 6397270 6577028 6582400 6767360 6842000 7006208 7269625 7444096 7526200 7737680 7744000 7961600 8221285 8228000 8425472 8459200 8511448 8704000 8757760 9305120 9407750 9574400 9633536 9672100 9952000 10235632 10531840 10574000 10639310 10827776 10947200 11631400 11703241 11968000 12041920 12090125 12380288 12390400 12794540 13154056 13164800 13534720 13684000 14012416 14539250 14888192 15052400 15475360 15488000 15923200 15993175 16442570 16456000 16918400 17022896 17515520 18086827 18610240 18815500 19148800 19267072 19344200 19904000 20471264 21063680 21148000 21278620 21655552 21894400 23262800 23406482 23936000 24083840 24180250 24760576 25589080 26308112 26329600 26598275 27069440 27368000 29078500 29776384 30080231 30104800 30950720 30976000 31846400 31986350 32885140 32912000 33836800 34045792 35031040 36173654 37220480 37631000 38534144 38688400 39808000 40942528 41106425 42127360 42296000 42557240 43788800 46525600 46812964 47872000 48167680 48360500 49521152 51178160 52616224 52659200 53196550 54138880 54736000 58157000 58516205 59552768 60160462 60209600 61901440 61952000 63972700 65770280 65824000 67673600 68091584 70062080 72347308 74440960 75262000 77068288 77376800 79616000 79965875 81885056 82212850 84592000 85114480 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79582038800 81818228320 81885056000 82720635250 84185958400 84705930496 90000051152 90992698775 92604554240 93625928000 96256739200 99477548500 101865009664 102272785400 105232448000 105882413120 108946534400 112500063940 115755692800 116470654432 119841187840 120320924000 123208626176 123750070334 127331262080 127840981750 130909165312 132353016400 136183168000 140625079925 144694616000 145588318040 149801484800 154010782720 159164077600 163636456640 163770112000 165441270500 168371916800 169411860992 180000102304 181985397550 185209108480 187251856000 192513478400 198955097000 203730019328 204545570800 210464896000 211764826240 225000127880 231511385600 232941308864 239682375680 240641848000 247500140668 254662524160 255681963500 261818330624 264706032800 272366336000 281250159850 289389232000 291176636080 299602969600 308021565440 309375175835 318328155200 327272913280 327540224000 330882541000 338823721984 360000204608 363970795100 370418216960 374503712000 385026956800 397910194000 407460038656 409091141600 420929792000 423529652480 450000255760 454963493875 463022771200 465882617728 481283696000 495000281336 509325048320 511363927000 523636661248 529412065600 544732672000 562500319700 578778464000 582353272160 599205939200 616043130880 618750351670 636656310400 654545826560 661765082000 677647443968 703125399625 720000409216 727941590200 749007424000 770053913600 795820388000 814920077312 818182283200 841859584000 847059304960 900000511520 909926987750 926045542400 931765235456 962567392000 990000562672 1018650096640 1022727854000 1047273322496 1058824131200 1125000639400 1157556928000 1164706544320 1198411878400 1237500703340 1273312620800 1309091653120 1323530164000 1355294887936 1406250799250 1440000818432 1455883180400 1498014848000 1540107827200 1546875879175 1591640776000 1636364566400 1694118609920 1800001023040 1819853975500 1852091084800 1863530470912 1925134784000 1980001125344 2037300193280 2045455708000 2094546644992 2117648262400 2250001278800 2315113856000 2329413088640 2475001406680 2546625241600 2618183306240 2647060328000 2812501598500 2880001636864 2911766360800 2996029696000 3080215654400 3093751758350 3183281552000 3272729132800 3388237219840 3600002046080 3639707951000 3727060941824 3850269568000 3960002250688 4074600386560 4090911416000 4235296524800 4500002557600 4630227712000 4658826177280 4950002813360 5093250483200 5236366612480 5294120656000 5625003197000 5760003273728 5823532721600 5992059392000 6187503516700 6366563104000 6545458265600 6776474439680 7200004092160 7279415902000 7454121883648 7700539136000 7734379395875 7920004501376 8181822832000 8470593049600 9000005115200 9260455424000 9317652354560 9900005626720 10186500966400 10472733224960 10588241312000 11250006394000 11520006547456 11647065443200 12375007033400 12733126208000 13090916531200 14400008184320 14558831804000 14908243767296 15401078272000 15468758791750 15840009002752 16363645664000 16941186099200 18000010230400 18635304709120 19800011253440 20373001932800 21176482624000 22500012788000 23040013094912 23294130886400 24750014066800 25466252416000 26181833062400 28800016368640 29117663608000 30937517583500 31680018005504 32727291328000 33882372198400 36000020460800 37270609418240 39600022506880 42352965248000 45000025576000 46588261772800 49500028133600 50932504832000 52363666124800 57600032737280 58235327216000 61875035167000 63360036011008 65454582656000 72000040921600 74541218836480 79200045013760 84705930496000 90000051152000 93176523545600 99000056267200 101865009664000 115200065474560 116470654432000 123750070334000 126720072022016 130909165312000 144000081843200 158400090027520 169411860992000 180000102304000 186353047091200 198000112534400 232941308864000 247500140668000 253440144044032 261818330624000 288000163686400 316800180055040 360000204608000 372706094182400 396000225068800 465882617728000 495000281336000 576000327372800 633600360110080 720000409216000 792000450137600 931765235456000 990000562672000 1267200720220160 1440000818432000 1584000900275200 1863530470912000 1980001125344000 2880001636864000 3168001800550400 3960002250688000 6336003601100800 7920004501376000 15840009002752000 31680018005504000
- Sum of all divisors σ(n): 92313567028964736
- Sum of proper divisors (its aliquot sum) s(n): 60633549023460736
- 31680018005504000 is an abundant number, because the sum of its proper divisors (60633549023460736) is greater than itself. Its abundance is 28953531017956736
Bases of 31680018005504000
- Binary: 11100001000110011001110111110111011001000110000000000002
- Hexadecimal: 0x708CCEFBB23000
- Base-36: 8NXMNCUNG8W
Squares and roots of 31680018005504000
- 31680018005504000 squared (316800180055040002) is 1003623540829057638174294016000000
- 31680018005504000 cubed (316800180055040003) is 31794811844212224869122254804683602264064000000000
-
The
square root of 31680018005504000 is 177988814.2707400587 -
The
cube root of 31680018005504000 is 316418.4556846477
Scales and comparisons
How big is 31680018005504000?- 31,680,018,005,504,000 seconds is equal to 1,007,326,579 years, 43 weeks, 6 days, 16 hours, 53 minutes, 20 seconds.
-
To count from 1 to 31,680,018,005,504,000 would take you about three billion, twenty-one million, nine hundred seventy-nine thousand, seven hundred thirty-nine 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 31680018005504000 cubic inches would be around 26368.2 feet tall.
Recreational maths with 31680018005504000
- 31680018005504000 backwards is 00040550081008613
- The number of decimal digits it has is: 17
- The sum of 31680018005504000's digits is 41
- More coming soon!
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The information we have on file for 31680018005504000 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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