106738107315840
106,738,107,315,840 is an even composite number composed of eight prime numbers multiplied together.
What does the number 106738107315840 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2048 divisors.
106738107315840 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand and forty-eight divisors.
Prime factorization of 106738107315840:
27 × 33 × 5 × 7 × 11 × 13 × 127 × 48589
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 11 × 13 × 127 × 48589)See below for interesting mathematical facts about the number 106738107315840 from the Numbermatics database.
Names of 106738107315840
- Cardinal: 106738107315840 can be written as One hundred six trillion, seven hundred thirty-eight billion, one hundred seven million, three hundred fifteen thousand, eight hundred forty.
Scientific notation
- Scientific notation: 1.0673810731584 × 1014
Factors of 106738107315840
Divisors of 106738107315840
- Number of divisors d(n): 2048
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 18 20 21 22 24 26 27 28 30 32 33 35 36 39 40 42 44 45 48 52 54 55 56 60 63 64 65 66 70 72 77 78 80 84 88 90 91 96 99 104 105 108 110 112 117 120 126 127 128 130 132 135 140 143 144 154 156 160 165 168 176 180 182 189 192 195 198 208 210 216 220 224 231 234 240 252 254 260 264 270 273 280 286 288 297 308 312 315 320 330 336 351 352 360 364 378 381 384 385 390 396 416 420 429 432 440 448 455 462 468 480 495 504 508 520 528 540 546 560 572 576 585 594 616 624 630 635 640 660 672 693 702 704 715 720 728 756 762 770 780 792 819 832 840 858 864 880 889 896 910 924 936 945 960 990 1001 1008 1016 1040 1056 1080 1092 1120 1143 1144 1152 1155 1170 1188 1232 1248 1260 1270 1287 1320 1344 1365 1386 1397 1404 1408 1430 1440 1456 1485 1512 1524 1540 1560 1584 1638 1651 1664 1680 1716 1728 1755 1760 1778 1820 1848 1872 1890 1905 1920 1980 2002 2016 2032 2079 2080 2112 2145 2160 2184 2240 2286 2288 2310 2340 2376 2457 2464 2496 2520 2540 2574 2640 2667 2688 2730 2772 2794 2808 2860 2880 2912 2970 3003 3024 3048 3080 3120 3168 3276 3302 3360 3429 3432 3456 3465 3510 3520 3556 3640 3696 3744 3780 3810 3861 3960 4004 4032 4064 4095 4158 4160 4191 4224 4290 4320 4368 4445 4480 4572 4576 4620 4680 4752 4914 4928 4953 4992 5005 5040 5080 5148 5280 5334 5460 5544 5588 5616 5715 5720 5760 5824 5940 6006 6048 6096 6160 6240 6336 6435 6552 6604 6720 6858 6864 6930 6985 7020 7040 7112 7280 7392 7488 7560 7620 7722 7920 8001 8008 8064 8128 8190 8255 8316 8320 8382 8580 8640 8736 8890 9009 9144 9152 9240 9360 9504 9779 9828 9856 9906 10010 10080 10160 10296 10395 10560 10668 10920 11088 11176 11232 11430 11440 11557 11648 11880 12012 12096 12192 12285 12320 12480 12573 12672 12870 13104 13208 13335 13440 13716 13728 13860 13970 14040 14224 14560 14784 14859 14976 15015 15120 15240 15444 15840 16002 16016 16256 16380 16510 16632 16764 17145 17160 17280 17472 17780 18018 18161 18288 18304 18480 18720 19008 19305 19558 19656 19812 20020 20160 20320 20592 20790 20955 21120 21336 21840 22176 22352 22464 22860 22880 23114 23760 24003 24024 24192 24384 24570 24640 24765 24960 25146 25740 26208 26416 26670 27027 27432 27456 27720 27940 28080 28448 29120 29337 29568 29718 30030 30240 30480 30888 31680 32004 32032 32760 33020 33264 33528 34290 34320 34671 34944 35560 36036 36322 36576 36960 37440 37719 38016 38610 39116 39312 39624 40005 40040 40320 40640 41184 41580 41910 42672 43680 44352 44577 44704 44928 45045 45720 45760 46228 47520 48006 48048 48589 48768 48895 49140 49280 49530 50292 51480 52416 52832 53340 54054 54483 54864 54912 55440 55880 56160 56896 57785 58240 58674 59436 60060 60480 60960 61776 62865 63360 64008 64064 65520 66040 66528 67056 68580 68640 69342 71120 72072 72644 73152 73920 74295 74880 75438 77220 78232 78624 79248 80010 80080 81280 82368 83160 83820 85344 87360 88011 88704 89154 89408 90090 90805 91440 91520 92456 95040 96012 96096 97178 97790 98280 99060 100584 102960 104013 104832 105664 106680 108108 108966 109728 110880 111760 112320 113792 115570 117348 118872 120015 120120 120960 121920 123552 125730 127127 128016 128128 131040 132080 133056 134112 135135 137160 137280 138684 142240 144144 145288 145767 146304 146685 147840 148590 150876 154440 156464 157248 158496 160020 160160 163449 164736 166320 167640 170688 173355 174720 176022 178308 178816 180180 181610 182880 184912 188595 190080 192024 192192 194356 195580 196560 198120 201168 205920 208026 211328 213360 216216 217932 219456 221760 222885 223520 224640 231140 234696 237744 240030 240240 242945 243840 247104 251460 254254 256032 262080 264033 264160 266112 268224 270270 272415 274320 274560 277368 284480 288288 290576 291534 293370 297180 301752 308880 312039 312928 314496 316992 320040 320320 326898 332640 335280 340123 341376 346710 352044 356616 360360 363220 365760 369824 377190 381381 384048 384384 388712 391160 393120 396240 402336 411840 416052 426720 432432 435864 437301 438912 440055 443520 445770 447040 462280 469392 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11847941760 12006536256 12218189940 12353947606 12440338848 12734205120 12829099437 12835270240 12930115968 13032735936 13132149030 13236372435 13328934480 13340595840 13477033752 13822598720 14007625632 14118797264 14254554930 14439679020 14661827928 15008170320 15161662971 15204858592 15281046144 15402324288 15550423560 15564028480 15883646922 16162644960 16290919920 16587118464 16846292190 17105465916 17327614824 17509532040 17648496580 17771912640 17969378336 18327284910 18530921409 18660508272 18676834176 19006073240 19101307680 19252905360 19549103904 20010893760 20215550628 20733898080 21011438448 21178195896 21326295168 21381832395 21550193280 21659518530 21721226560 22461722920 22807287888 23103486432 23325635340 23346042720 23825470383 24013072512 24436379880 24707895212 24880677696 25269438285 25468410240 25658198874 25670540480 26065471872 26264298060 26472744870 26657868960 26954067504 27645197440 28015251264 28237594528 28509109860 28879358040 29323655856 30016340640 30323325942 30409717184 30804648576 30884869015 31100847120 31128056960 31767293844 32325289920 32581839840 33692584380 34210931832 34655229648 35019064080 35296993160 35543825280 35938756672 36654569820 37061842818 37321016544 38012146480 38202615360 38505810720 39098207808 39709117305 40021787520 40431101256 41467796160 42022876896 42356391792 42763664790 43319037060 43442453120 44923445840 45614575776 46206972864 46651270680 46692085440 47650940766 48872759760 49415790424 49761355392 50538876570 51316397748 51341080960 52528596120 52945489740 53315737920 53908135008 55592764227 56030502528 56475189056 57018219720 57758716080 58647311712 60032681280 60646651884 60819434368 61769738030 62201694240 63534587688 64145497185 64650579840 65163679680 67385168760 68421863664 69310459296 70038128160 70593986320 71877513344 73309139640 74123685636 74642033088 75808314855 76024292960 76405230720 77011621440 78196415616 79418234610 80862202512 82935592320 84045753792 84712783584 85527329580 86638074120 89846891680 91229151552 92413945728 92654607045 93302541360 93384170880 95301881532 97745519520 98831580848 101077753140 102632795496 105057192240 105890979480 106631475840 107816270016 111185528454 112950378112 114036439440 115517432160 117294623424 119127351915 120065362560 121293303768 123539476060 124403388480 127069175376 128290994370 130327359360 134770337520 136843727328 138620918592 140076256320 141187972640 146618279280 148247371272 149284066176 151616629710 152048585920 154023242880 158836469220 161724405024 166778292681 168091507584 169425567168 171054659160 173276148240 179693783360 182458303104 185309214090 186605082720 190603763064 195491039040 197663161696 202155506280 205265590992 210114384480 211781958960 215632540032 222371056908 228072878880 231034864320 234589246848 238254703830 242586607536 247078952120 248806776960 254138350752 256581988740 269540675040 273687454656 277241837184 277963821135 280152512640 282375945280 293236558560 296494742544 303233259420 304097171840 317672938440 323448810048 333556585362 338851134336 342109318320 346552296480 359387566720 370618428180 373210165440 381207526128 390982078080 395326323392 404311012560 410531181984 420228768960 423563917920 444742113816 456145757760 462069728640 476509407660 485173215072 494157904240 508276701504 513163977480 539081350080 547374909312 555927642270 564751890560 586473117120 592989485088 606466518840 635345876880 646897620096 667113170724 684218636640 693104592960 741236856360 746420330880 762415052256 790652646784 808622025120 821062363968 833891463405 840457537920 847127835840 889484227632 912291515520 953018815320 970346430144 988315808480 1016553403008 1026327954960 1078162700160 1111855284540 1172946234240 1185978970176 1212933037680 1270691753760 1334226341448 1368437273280 1386209185920 1482473712720 1524830104512 1617244050240 1642124727936 1667782926810 1694255671680 1778968455264 1906037630640 1940692860288 1976631616960 2052655909920 2223710569080 2371957940352 2425866075360 2541383507520 2668452682896 2736874546560 2964947425440 3049660209024 3234488100480 3335565853620 3557936910528 3812075261280 3953263233920 4105311819840 4447421138160 4851732150720 5082767015040 5336905365792 5929894850880 6671131707240 7115873821056 7624150522560 8210623639680 8894842276320 9703464301440 10673810731584 11859789701760 13342263414480 15248301045120 17789684552640 21347621463168 26684526828960 35579369105280 53369053657920 106738107315840
- Sum of all divisors σ(n): 511572934656000
- Sum of proper divisors (its aliquot sum) s(n): 404834827340160
- 106738107315840 is an abundant number, because the sum of its proper divisors (404834827340160) is greater than itself. Its abundance is 298096720024320
Bases of 106738107315840
- Binary: 110000100010011111001101111100001110110100000002
- Hexadecimal: 0x6113E6F87680
- Base-36: 11U2T576O0
Squares and roots of 106738107315840
- 106738107315840 squared (1067381073158402) is 11393023553367776529514905600
- 106738107315840 cubed (1067381073158403) is 1216069770691262500655129191109686984704000
-
The
square root of 106738107315840 is 10331413.6165308957 -
The
cube root of 106738107315840 is 47435.8294789489
Scales and comparisons
How big is 106738107315840?- 106,738,107,315,840 seconds is equal to 3,393,941 years, 33 weeks, 5 days, 14 hours, 24 minutes.
-
To count from 1 to 106,738,107,315,840 would take you about eight million, four hundred eighty-four thousand, eight hundred fifty-four 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 106738107315840 cubic inches would be around 3953 feet tall.
Recreational maths with 106738107315840
- 106738107315840 backwards is 048513701837601
- 106738107315840 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 106738107315840's digits is 54
- More coming soon!
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Cite this page
MLA style:
"Number 106738107315840 - Facts about the integer". Numbermatics.com. 2024. Web. 27 September 2024.
APA style:
Numbermatics. (2024). Number 106738107315840 - Facts about the integer. Retrieved 27 September 2024, from https://numbermatics.com/n/106738107315840/
Chicago style:
Numbermatics. 2024. "Number 106738107315840 - Facts about the integer". https://numbermatics.com/n/106738107315840/
The information we have on file for 106738107315840 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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