106705709237920

Names of 106705709237920

• Cardinal: 106705709237920 can be written as One hundred six trillion, seven hundred five billion, seven hundred nine million, two hundred thirty-seven thousand, nine hundred twenty.

Scientific notation

• Scientific notation: 1.0670570923792 × 10¹⁴

Factors of 106705709237920

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 1757

Divisors of 106705709237920

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 4 5 8 10 13 16 17 20 26 32 34 40 52 53 65 68 80 85 104 106 113 130 136 160 170 208 212 221 226 260 265 272 340 416 424 442 452 461 520 530 544 565 680 689 848 884 901 904 922 1040 1060 1093 1105 1130 1360 1378 1469 1696 1768 1802 1808 1844 1921 2080 2120 2186 2210 2260 2305 2720 2756 2938 3445 3536 3604 3616 3688 3842 4240 4372 4420 4505 4520 4610 5465 5512 5876 5989 5993 6890 7072 7208 7345 7376 7684 7837 8480 8744 8840 9010 9040 9220 9605 10930 11024 11713 11752 11978 11986 13780 14209 14416 14690 14752 15368 15674 17488 17680 18020 18080 18440 18581 19210 21860 22048 23426 23504 23956 23972 24433 24973 27560 28418 28832 29380 29945 29965 30736 31348 34976 35360 36040 36880 37162 38420 39185 43720 46852 47008 47912 47944 48866 49946 52093 55120 56836 57929 58565 58760 59890 59930 61472 62696 71045 72080 73760 74324 76840 77857 78370 87440 92905 93704 95824 95888 97732 99892 101813 101881 104186 110240 113672 115858 117130 117520 119780 119860 122165 123509 124865 125392 142090 144160 148648 153680 155714 156740 174880 185810 187408 191648 191776 195464 199784 203626 203762 208372 227344 231716 234260 235040 239560 239720 241553 244330 247018 249730 250784 260465 284180 289645 297296 307360 311428 313480 317629 371620 374816 389285 390928 399568 407252 407524 415361 416744 454688 463432 468520 479120 479440 483106 488660 494036 499460 503873 509065 509405 520930 568360 579290 594592 617545 622856 626960 635258 677209 743240 753077 778570 781856 799136 814504 815048 830722 833488 885581 926864 937040 958240 958880 966212 977320 984793 988072 998920 1007746 1018130 1018810 1041860 1136720 1158580 1207765 1235090 1245712 1253920 1270516 1323569 1354418 1486480 1506154 1557140 1588145 1605617 1629008 1630096 1661444 1666976 1771162 1853728 1874080 1932424 1954640 1969586 1976144 1997840 2015492 2036260 2037620 2076805 2083720 2099653 2273440 2317160 2415530 2470180 2491424 2519365 2541032 2647138 2708836 2760929 2972960 3012308 3114280 3176290 3211234 3258016 3260192 3322888 3386045 3542324 3765385 3864848 3909280 3939172 3952288 3995680 4030984 4072520 4075240 4153610 4167440 4199306 4427905 4634320 4831060 4923965 4940360 5038730 5082064 5294276 5399693 5417672 5521858 6024616 6228560 6352580 6422468 6545977 6550349 6617845 6645776 6772090 7084648 7530770 7729696 7878344 8028085 8061968 8145040 8150480 8307220 8334880 8398612 8565841 8855810 9268640 9662120 9847930 9880720 10077460 10164128 10498265 10588552 10799386 10835344 11043716 11512553 12049232 12457120 12705160 12802309 12844936 13091954 13100698 13235690 13291552 13544180 13804645 14169296 15061540 15756688 16056170 16123936 16290080 16300960 16614440 16797224 17131682 17711620 19324240 19695860 19761440 20154920 20996530 21177104 21598772 21670688 22087432 23025106 24098464 25410320 25604618 25689872 26183908 26201396 26471380 26705269 26998465 27088360 27295489 27609290 28338592 30123080 31513376 32112340 32729885 32751745 33228880 33594448 34263364 35423240 35892077 38648480 39391720 40309840 41993060 42354208 42829205 43197544 44174864 46050212 46935793 50820640 51209236 51379744 52367816 52402792 52942760 53410538 53996930 54176720 54590978 55218580 56937649 57562765 60246160 64011545 64224680 65459770 65503490 66457760 67188896 68526728 70846480 71784154 78783440 80619680 83986120 85097701 85658410 86395088 88349728 92100424 93871586 102418472 104735632 104805584 105885520 106821076 107993860 108353440 109181956 110437160 111281609 111355933 113875298 115125530 120492320 128023090 128449360 130919540 131006980 133526345 136477445 137053456 141692960 143568308 157566880 167972240 170195402 171316820 172790176 179460385 184200848 187743172 204836944 209471264 209611168 211771040 213642152 215987720 218363912 220874320 222563218 222711866 227750596 230251060 234678965 256046180 256898720 261839080 262013960 267052690 272954890 274106912 284688245 287136616 335944480 340390804 342633640 347168497 358920770 368401696 375486344 409673888 425488505 427284304 431975440 436727824 441748640 445126436 445423732 453989573 455501192 460502120 469357930 512092360 523678160 524027920 534105380 545909780 556408045 556779665 569376490 574273232 610165309 680781608 685267280 694336994 717841540 740189437 750972688 850977010 854568608 863950880 873455648 890252872 890847464 907979146 911002384 921004240 938715860 967940033 1024184720 1047356320 1048055840 1068210760 1091819560 1112816090 1113559330 1138752980 1148546464 1220330618 1361563216 1370534560 1388673988 1435683080 1446660917 1480378874 1501945376 1701954020 1735842485 1780505744 1781694928 1815958292 1822004768 1842008480 1877431720 1935880066 2048369440 2136421520 2183639120 2225632180 2227118660 2269947865 2277505960 2440661236 2723126432 2777347976 2871366160 2893321834 2960757748 3017695397 3050826545 3403908040 3471684970 3561011488 3563389856 3631916584 3700947185 3754863440 3871760132 4272843040 4367278240 4451264360 4454237320 4539895730 4555011920 4839700165 4881322472 5554695952 5742732320 5786643668 5901864449 5921515496 6035390794 6101653090 6807816080 6943369940 7233304585 7263833168 7401894370 7509726880 7743520264 8902528720 8908474640 9079791460 9110023840 9679400330 9762644944 11109391904 11573287336 11803728898 11843030992 12070781588 12203306180 12583220429 13615632160 13886739880 14466609170 14527666336 14803788740 15088476985 15487040528 17805057440 17816949280 18159582920 19358800660 19525289888 23146574672 23607457796 23686061984 24141563176 24406612360 25166440858 27773479760 28933218340 29509322245 29607577480 30176953970 30974081056 36319165840 38717601320 39230040161 46293149344 47214915592 48283126352 48813224720 50332881716 51300821749 55546959520 57866436680 59018644490 59215154960 60353907940 62916102145 72638331680 77435202640 78460080322 94429831184 96566252704 97626449440 100665763432 102601643498 115732873360 118037288980 118430309920 120707815880 125832204290 154870405280 156920160644 188859662368 196150200805 201331526864 205203286996 231465746720 236074577960 241415631760 251664408580 256504108745 313840321288 392300401610 402663053728 410406573992 472149155920 482831263520 503328817160 513008217490 627680642576 666910682737 784600803220 820813147984 944298311840 1006657634320 1026016434980 1255361285152 1333821365474 1569201606440 1641626295968 2013315268640 2052032869960 2667642730948 3138403212880 3334553413685 4104065739920 5335285461896 6276806425760 6669106827370 8208131479840 10670570923792 13338213654740 21341141847584 26676427309480 53352854618960 106705709237920
• Sum of all divisors σ(n): 296380925140608
• Sum of proper divisors (its aliquot sum) s(n): 189675215902688
• 106705709237920 is an abundant number, because the sum of its proper divisors (189675215902688) is greater than itself. Its abundance is 82969506664768

Bases of 106705709237920

• Binary: 11000010000110001011011111001010000011010100000₂
• Hexadecimal: 0x610C5BE506A0
• Base-36: 11TNXC7XR4

Squares and roots of 106705709237920

• 106705709237920 squared (106705709237920²) is 11386108383967525627165926400
• 106705709237920 cubed (106705709237920³) is 1214962770571081961735963534369134809088000
• The square root of 106705709237920 is 10329845.5573120743
• The cube root of 106705709237920 is 47431.0296148857

Scales and comparisons

• 106,705,709,237,920 seconds is equal to 3,392,911 years, 25 weeks, 3 days, 20 hours, 18 minutes, 40 seconds.
• To count from 1 to 106,705,709,237,920 would take you about eight million, four hundred eighty-two thousand, two hundred seventy-eight 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 106705709237920 cubic inches would be around 3952.6 feet tall.

Recreational maths with 106705709237920

• 106705709237920 backwards is 029732907507601
• The number of decimal digits it has is: 15
• The sum of 106705709237920's digits is 58
• More coming soon!