107419271168000
107,419,271,168,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 107419271168000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 768 divisors.
107419271168000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 107419271168000:
223 × 53 × 11 × 67 × 139
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 11 × 67 × 139)See below for interesting mathematical facts about the number 107419271168000 from the Numbermatics database.
Names of 107419271168000
- Cardinal: 107419271168000 can be written as One hundred seven trillion, four hundred nineteen billion, two hundred seventy-one million, one hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 1.07419271168 × 1014
Factors of 107419271168000
Divisors of 107419271168000
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 67 80 88 100 110 125 128 134 139 160 176 200 220 250 256 268 275 278 320 335 352 400 440 500 512 536 550 556 640 670 695 704 737 800 880 1000 1024 1072 1100 1112 1280 1340 1375 1390 1408 1474 1529 1600 1675 1760 2000 2048 2144 2200 2224 2560 2680 2750 2780 2816 2948 3058 3200 3350 3475 3520 3685 4000 4096 4288 4400 4448 5120 5360 5500 5560 5632 5896 6116 6400 6700 6950 7040 7370 7645 8000 8192 8375 8576 8800 8896 9313 10240 10720 11000 11120 11264 11792 12232 12800 13400 13900 14080 14740 15290 16000 16384 16750 17152 17375 17600 17792 18425 18626 20480 21440 22000 22240 22528 23584 24464 25600 26800 27800 28160 29480 30580 32000 32768 33500 34304 34750 35200 35584 36850 37252 38225 40960 42880 44000 44480 45056 46565 47168 48928 51200 53600 55600 56320 58960 61160 64000 65536 67000 68608 69500 70400 71168 73700 74504 76450 81920 85760 88000 88960 90112 92125 93130 94336 97856 102400 102443 107200 111200 112640 117920 122320 128000 131072 134000 137216 139000 140800 142336 147400 149008 152900 163840 171520 176000 177920 180224 184250 186260 188672 191125 195712 204800 204886 214400 222400 225280 232825 235840 244640 256000 262144 268000 274432 278000 281600 284672 294800 298016 305800 327680 343040 352000 355840 360448 368500 372520 377344 382250 391424 409600 409772 428800 444800 450560 465650 471680 489280 512000 512215 524288 536000 548864 556000 563200 569344 589600 596032 611600 655360 686080 704000 711680 720896 737000 745040 754688 764500 782848 819200 819544 857600 889600 901120 931300 943360 978560 1024000 1024430 1048576 1072000 1097728 1112000 1126400 1138688 1164125 1179200 1192064 1223200 1310720 1372160 1408000 1423360 1441792 1474000 1490080 1509376 1529000 1565696 1638400 1639088 1715200 1779200 1802240 1862600 1886720 1957120 2048000 2048860 2097152 2144000 2195456 2224000 2252800 2277376 2328250 2358400 2384128 2446400 2561075 2621440 2744320 2816000 2846720 2883584 2948000 2980160 3018752 3058000 3131392 3276800 3278176 3430400 3558400 3604480 3725200 3773440 3914240 4096000 4097720 4194304 4288000 4390912 4448000 4505600 4554752 4656500 4716800 4768256 4892800 5122150 5242880 5488640 5632000 5693440 5767168 5896000 5960320 6037504 6116000 6262784 6553600 6556352 6860800 7116800 7208960 7450400 7546880 7828480 8192000 8195440 8388608 8576000 8781824 8896000 9011200 9109504 9313000 9433600 9536512 9785600 10244300 10485760 10977280 11264000 11386880 11534336 11792000 11920640 12075008 12232000 12525568 12805375 13107200 13112704 13721600 14233600 14417920 14900800 15093760 15656960 16384000 16390880 17152000 17563648 17792000 18022400 18219008 18626000 18867200 19073024 19571200 20488600 20971520 21954560 22528000 22773760 23068672 23584000 23841280 24150016 24464000 25051136 25610750 26214400 26225408 27443200 28467200 28835840 29801600 30187520 31313920 32768000 32781760 34304000 35127296 35584000 36044800 36438016 37252000 37734400 38146048 39142400 40977200 41943040 43909120 45056000 45547520 46137344 47168000 47682560 48300032 48928000 50102272 51221500 52428800 52450816 54886400 56934400 57671680 59603200 60375040 62627840 65536000 65563520 68608000 70254592 71168000 72089600 72876032 74504000 75468800 76292096 78284800 81954400 87818240 90112000 91095040 92274688 94336000 95365120 96600064 97856000 100204544 102443000 104857600 104901632 109772800 113868800 115343360 119206400 120750080 125255680 131072000 131127040 137216000 140509184 142336000 144179200 145752064 149008000 150937600 152584192 156569600 163908800 175636480 180224000 182190080 188672000 190730240 193200128 195712000 200409088 204886000 209715200 209803264 219545600 227737600 230686720 238412800 241500160 250511360 262144000 262254080 274432000 281018368 284672000 288358400 291504128 298016000 301875200 305168384 313139200 327817600 351272960 360448000 364380160 377344000 381460480 386400256 391424000 400818176 409772000 419606528 439091200 455475200 461373440 476825600 483000320 501022720 524288000 524508160 548864000 562036736 569344000 576716800 583008256 596032000 603750400 610336768 626278400 655635200 702545920 720896000 728760320 754688000 762920960 772800512 782848000 801636352 819544000 839213056 878182400 910950400 953651200 966000640 1002045440 1048576000 1049016320 1097728000 1138688000 1153433600 1166016512 1192064000 1207500800 1220673536 1252556800 1311270400 1405091840 1441792000 1457520640 1509376000 1525841920 1545601024 1565696000 1603272704 1639088000 1678426112 1756364800 1821900800 1907302400 1932001280 2004090880 2098032640 2195456000 2277376000 2306867200 2384128000 2415001600 2441347072 2505113600 2622540800 2810183680 2883584000 2915041280 3018752000 3051683840 3091202048 3131392000 3206545408 3278176000 3356852224 3512729600 3643801600 3814604800 3864002560 4008181760 4196065280 4390912000 4554752000 4768256000 4830003200 4882694144 5010227200 5245081600 5767168000 5830082560 6037504000 6103367680 6182404096 6262784000 6413090816 6556352000 6713704448 7025459200 7287603200 7629209600 7728005120 8016363520 8392130560 8781824000 9109504000 9536512000 9660006400 9765388288 10020454400 10490163200 11534336000 12075008000 12206735360 12525568000 12826181632 13112704000 13427408896 14050918400 14575206400 15258419200 15456010240 16032727040 16784261120 17563648000 18219008000 19073024000 19320012800 19530776576 20040908800 20980326400 24150016000 24413470720 25051136000 26225408000 26854817792 29150412800 30516838400 30912020480 32065454080 33568522240 35127296000 36438016000 38146048000 38640025600 39061553152 40081817600 41960652800 48300032000 48826941440 50102272000 52450816000 53709635584 61033676800 64130908160 67137044480 70254592000 72876032000 76292096000 77280051200 78123106304 80163635200 83921305600 96600064000 97653882880 100204544000 104901632000 107419271168 122067353600 134274088960 145752064000 152584192000 154560102400 160327270400 167842611200 193200128000 195307765760 200409088000 209803264000 214838542336 244134707200 268548177920 305168384000 320654540800 335685222400 386400256000 390615531520 400818176000 419606528000 429677084672 488269414400 537096355840 610336768000 671370444800 772800512000 801636352000 839213056000 859354169344 976538828800 1074192711680 1220673536000 1342740889600 1603272704000 1678426112000 1953077657600 2148385423360 2441347072000 2685481779200 3356852224000 4296770846720 4882694144000 5370963558400 6713704448000 9765388288000 10741927116800 13427408896000 21483854233600 26854817792000 53709635584000 107419271168000
- Sum of all divisors σ(n): 298994130489600
- Sum of proper divisors (its aliquot sum) s(n): 191574859321600
- 107419271168000 is an abundant number, because the sum of its proper divisors (191574859321600) is greater than itself. Its abundance is 84155588153600
Bases of 107419271168000
- Binary: 110000110110010011111111000000000000000000000002
- Hexadecimal: 0x61B27F800000
- Base-36: 122RQCKIRK
Squares and roots of 107419271168000
- 107419271168000 squared (1074192711680002) is 11538899818264316084224000000
- 107419271168000 cubed (1074192711680003) is 1239500208558520488549321782853632000000000
-
The
square root of 107419271168000 is 10364326.8555174387 -
The
cube root of 107419271168000 is 47536.5216691679
Scales and comparisons
How big is 107419271168000?- 107,419,271,168,000 seconds is equal to 3,415,600 years, 28 weeks, 5 days, 11 hours, 33 minutes, 20 seconds.
-
To count from 1 to 107,419,271,168,000 would take you about eight million, five hundred thirty-nine thousand and one 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 107419271168000 cubic inches would be around 3961.4 feet tall.
Recreational maths with 107419271168000
- 107419271168000 backwards is 000861172914701
- The number of decimal digits it has is: 15
- The sum of 107419271168000's digits is 47
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 107419271168000 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
APA style:
Numbermatics. (2024). Number 107419271168000 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/107419271168000/
Chicago style:
Numbermatics. 2024. "Number 107419271168000 - Facts about the integer". https://numbermatics.com/n/107419271168000/
The information we have on file for 107419271168000 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!
Keywords: Divisors of 107419271168000, math, Factors of 107419271168000, curriculum, school, college, exams, university, Prime factorization of 107419271168000, STEM, science, technology, engineering, physics, economics, calculator, one hundred seven trillion, four hundred nineteen billion, two hundred seventy-one million, one hundred sixty-eight thousand.