106435961984000

Names of 106435961984000

• Cardinal: 106435961984000 can be written as One hundred six trillion, four hundred thirty-five billion, nine hundred sixty-one million, nine hundred eighty-four thousand.

Scientific notation

• Scientific notation: 1.06435961984 × 10¹⁴

Factors of 106435961984000

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 544

Divisors of 106435961984000

• Number of divisors d(n): 1408
• Complete list of divisors:
  1 2 4 5 8 10 11 16 19 20 22 25 32 38 40 44 50 55 64 76 80 88 95 100 110 113 125 128 137 152 160 176 190 200 209 220 226 250 256 257 274 275 304 320 352 380 400 418 440 452 475 500 512 514 548 550 565 608 640 685 704 760 800 836 880 904 950 1000 1024 1028 1045 1096 1100 1130 1216 1243 1280 1285 1370 1375 1408 1507 1520 1600 1672 1760 1808 1900 2000 2056 2090 2147 2192 2200 2260 2375 2432 2486 2560 2570 2603 2740 2750 2816 2825 2827 3014 3040 3200 3344 3425 3520 3616 3800 4000 4112 4180 4294 4384 4400 4520 4750 4864 4883 4972 5120 5140 5206 5225 5480 5500 5632 5650 5654 6028 6080 6215 6400 6425 6688 6850 7040 7232 7535 7600 8000 8224 8360 8588 8768 8800 9040 9500 9728 9766 9944 10280 10412 10450 10735 10960 11000 11264 11300 11308 12056 12160 12430 12800 12850 13015 13376 13700 14080 14125 14135 14464 15070 15200 15481 16000 16448 16720 17125 17176 17536 17600 18080 19000 19456 19532 19888 20560 20824 20900 21470 21920 22000 22600 22616 23617 24112 24320 24415 24860 25600 25700 26030 26125 26752 27400 28160 28250 28270 28633 28928 29041 30140 30400 30962 31075 32000 32125 32896 33440 34250 34352 35072 35200 35209 36160 37675 38000 39064 39776 41120 41648 41800 42940 43840 44000 45200 45232 47234 48224 48640 48830 49720 51400 52060 52250 53504 53675 53713 54800 56320 56500 56540 57266 57856 58082 60280 60800 61924 62150 64000 64250 65075 65792 66880 68500 68704 70144 70400 70418 70675 72320 75350 76000 77405 78128 79552 82240 83296 83600 85880 87680 88000 90400 90464 94468 96448 97280 97660 99440 102800 104120 104500 107008 107350 107426 109600 113000 113080 114532 115712 116164 118085 120560 121600 122075 123848 124300 128000 128500 130150 131584 133760 137000 137408 140288 140800 140836 141350 143165 144640 145205 150700 152000 154810 155375 156256 159104 164480 166592 167200 170291 171760 175360 176000 176045 180800 180928 188375 188936 192896 195320 198880 205600 208240 209000 214016 214700 214852 219200 226000 226160 229064 232328 236170 241120 243200 244150 247696 248600 257000 260300 263168 267520 268375 268565 274000 274816 281600 281672 282700 286330 289280 290410 294139 301400 304000 309620 310750 312512 318208 319451 325375 328960 333184 334400 340582 343520 350720 352000 352090 353375 361600 361856 376750 377872 385792 387025 387299 390640 397760 411200 416480 418000 429400 429704 438400 452000 452320 458128 464656 472340 482240 486400 488300 495392 497200 514000 520600 535040 536750 537130 548000 549632 551779 563344 565400 572660 578560 580820 588278 590425 602800 608000 610375 619240 621500 625024 636416 638902 650750 657920 666368 668800 668971 681164 687040 701440 704000 704180 706750 715825 723200 723712 726025 753500 755744 771584 774050 774598 781280 795520 822400 832960 836000 851455 858800 859408 876800 880225 904000 904640 916256 929312 944680 964480 976600 990784 994400 1028000 1041200 1070080 1073500 1074260 1096000 1099264 1103558 1126688 1130800 1145320 1161640 1176556 1180850 1205600 1216000 1220750 1238480 1243000 1250048 1272832 1277804 1301500 1315840 1332736 1337600 1337942 1342825 1362328 1374080 1408000 1408360 1413500 1431650 1446400 1447424 1452050 1470695 1507000 1511488 1543168 1548100 1549196 1562560 1591040 1597255 1644800 1665920 1672000 1702910 1717600 1718816 1753600 1760450 1808000 1809280 1832512 1858624 1889360 1928960 1935125 1936495 1953200 1981568 1988800 2056000 2082400 2147000 2148520 2192000 2198528 2207116 2253376 2261600 2290640 2323280 2353112 2361700 2411200 2432000 2441500 2476960 2486000 2500096 2555608 2603000 2665472 2675200 2675884 2685650 2724656 2748160 2758895 2816720 2827000 2863300 2892800 2894848 2904100 2941390 2952125 3014000 3022976 3096200 3098392 3125120 3182080 3194510 3235529 3289600 3331840 3344000 3344855 3405820 3435200 3437632 3507200 3520900 3579125 3616000 3618560 3630125 3665024 3717248 3778720 3857920 3870250 3872990 3906400 3963136 3977600 3978617 4112000 4164800 4257275 4294000 4297040 4384000 4401125 4414232 4506752 4523200 4581280 4646560 4706224 4723400 4822400 4883000 4953920 4972000 5000192 5111216 5206000 5350400 5351768 5371300 5449312 5496320 5517790 5633440 5654000 5726600 5808200 5882780 5904250 6028000 6045952 6069569 6192400 6196784 6250240 6364160 6389020 6471058 6579200 6663680 6688000 6689710 6714125 6811640 6870400 6875264 7041800 7158250 7232000 7237120 7260250 7330048 7353475 7358681 7434496 7557440 7715840 7740500 7745980 7812800 7926272 7955200 7957234 7986275 8224000 8329600 8514550 8588000 8594080 8768000 8802250 8828464 9013504 9046400 9162560 9293120 9412448 9446800 9644800 9682475 9766000 9907840 9944000 10222432 10412000 10703536 10742600 10898624 10992640 11035580 11266880 11308000 11453200 11616400 11765560 11808500 12056000 12091904 12139138 12384800 12393568 12500480 12778040 12942116 13327360 13376000 13379420 13428250 13623280 13740800 13750528 13794475 14083600 14316500 14464000 14474240 14520500 14660096 14706950 14717362 14868992 15114880 15481000 15491960 15625600 15852544 15910400 15914468 15972550 16177645 16448000 16659200 16724275 17029100 17176000 17188160 17536000 17604500 17656928 18027008 18092800 18325120 18586240 18824896 18893600 19289600 19364950 19532000 19815680 19888000 19893085 20444864 20824000 21286375 21407072 21485200 21797248 22071160 22533760 22616000 22906400 23232800 23531120 23617000 24112000 24183808 24278276 24769600 24787136 25000960 25556080 25884232 26752000 26758840 26856500 27246560 27481600 27501056 27588950 28167200 28633000 29041000 29320192 29413900 29434724 29737984 30229760 30347845 30962000 30983920 31251200 31820800 31828936 31945100 32355290 32896000 33318400 33448550 34058200 34352000 34376320 35209000 35313856 36054016 36185600 36650240 36767375 36793405 37172480 37649792 37787200 38579200 38729900 39064000 39631360 39776000 39786170 39931375 40889728 41648000 42572750 42814144 42970400 43594496 43764787 44142320 45067520 45232000 45812800 46465600 47062240 47234000 48224000 48412375 48556552 49539200 49574272 51112160 51768464 53517680 53713000 54493120 54963200 55002112 55177900 56334400 57266000 58082000 58827800 58869448 60459520 60695690 61924000 61967840 62502400 63657872 63890200 64710580 66636800 66897100 68116400 68704000 68752640 68972375 70418000 70627712 72371200 73300480 73534750 73586810 74344960 75299584 75574400 75593723 77459800 78128000 79262720 79552000 79572340 79862750 80888225 81779456 83296000 83621375 85145500 85628288 85940800 87188992 87529574 88284640 90135040 90464000 91625600 92931200 94124480 94468000 96448000 96824750 97113104 99078400 99148544 99465425 102224320 103536928 107035360 107426000 108986240 110355800 112668800 114532000 116164000 117655600 117738896 120919040 121391380 123848000 123935680 125004800 127315744 127780400 129421160 133794200 136232800 137408000 137505280 137944750 140836000 141255424 146600960 147069500 147173620 148689920 150599168 151148800 151187446 151739225 154919600 156256000 159104000 159144680 159725500 161776450 163558912 166592000 167242750 170291000 171256576 171881600 174377984 175059148 176569280 180270080 180928000 183251200 183967025 185862400 188248960 188936000 192896000 193649500 194226208 198156800 198297088 198930850 204448640 207073856 214070720 214852000 217972480 218823935 220711600 225337600 229064000 232328000 235311200 235477792 242782760 247696000 247871360 254631488 255560800 258842320 267588400 272465600 274816000 275010560 275889500 281672000 282510848 294139000 294347240 301198336 302297600 302374892 303478450 309839200 312512000 318289360 319451000 323552900 327117824 333184000 334485500 340582000 342513152 343763200 350118296 353138560 361856000 366502400 367934050 371724800 376497920 377872000 377968615 387299000 388452416 396313600 396594176 397861700 404441125 408897280 414147712 428141440 429704000 435944960 437647870 441423200 450675200 458128000 464656000 470622400 470955584 485565520 495392000 495742720 497327125 509262976 511121600 517684640 535176800 544931200 551779000 563344000 565021696 588278000 588694480 604595200 604749784 606956900 619678400 625024000 636578720 638902000 647105800 668971000 681164000 685026304 687526400 700236592 706277120 733004800 735868100 743449600 752995840 755744000 755937230 758696125 774598000 776904832 795723400 808882250 817794560 828295424 831530953 856282880 859408000 871889920 875295740 882846400 901350400 916256000 919835125 929312000 941244800 941911168 971131040 990784000 991485440 994654250 1018525952 1022243200 1035369280 1070353600 1089862400 1094119675 1103558000 1126688000 1176556000 1177388960 1209499568 1213913800 1239356800 1273157440 1277804000 1294211600 1337942000 1362328000 1375052800 1400473184 1412554240 1471736200 1505991680 1511488000 1511874460 1517392250 1549196000 1553809664 1591446800 1617764500 1635589120 1656590848 1663061906 1712565760 1718816000 1750591480 1765692800 1832512000 1839670250 1858624000 1882489600 1883822336 1889843075 1942262080 1981568000 1982970880 1989308500 2037051904 2044486400 2070738560 2140707200 2179724800 2188239350 2207116000 2253376000 2353112000 2354777920 2418999136 2427827600 2478713600 2546314880 2555608000 2588423200 2675884000 2724656000 2800946368 2825108480 2943472400 3022976000 3023748920 3034784500 3098392000 3107619328 3182893600 3235529000 3313181696 3326123812 3425131520 3437632000 3501182960 3531385600 3665024000 3679340500 3717248000 3764979200 3767644672 3779686150 3884524160 3978617000 4074103808 4088972800 4141477120 4157654765 4281414400 4359449600 4376478700 4414232000 4506752000 4706224000 4709555840 4837998272 4855655200 4957427200 5092629760 5111216000 5176846400 5351768000 5449312000 5470598375 5601892736 5886944800 6047497840 6069569000 6196784000 6215238656 6365787200 6471058000 6652247624 6875264000 7002365920 7062771200 7358681000 7529958400 7535289344 7559372300 7769048320 7957234000 8177945600 8282954240 8315309530 8562828800 8752957400 8828464000 9412448000 9419111680 9449215375 9675996544 9711310400 9914854400 10185259520 10222432000 10353692800 10703536000 10898624000 10941196750 11203785472 11773889600 12094995680 12139138000 12393568000 12731574400 12942116000 13304495248 14004731840 14125542400 14717362000 15118744600 15538096640 15914468000 16565908480 16630619060 17125657600 17505914800 17656928000 18824896000 18838223360 18898430750 19351993088 19422620800 20370519040 20444864000 20707385600 20788273825 21407072000 21797248000 21882393500 22407570944 23547779200 24189991360 24278276000 24787136000 25463148800 25884232000 26608990496 28009463680 29434724000 30237489200 31076193280 31828936000 33261238120 35011829600 35313856000 37649792000 37676446720 37796861500 38703986176 38845241600 40889728000 41414771200 41576547650 42814144000 43764787000 44815141888 47095558400 48379982720 48556552000 49574272000 50926297600 51768464000 53217980992 56018927360 58869448000 60474978400 63657872000 66522476240 70023659200 70627712000 75593723000 77407972352 77690483200 82829542400 83153095300 85628288000 87529574000 94191116800 96759965440 97113104000 101852595200 103536928000 103941369125 106435961984 112037854720 117738896000 120949956800 127315744000 133044952480 140047318400 151187446000 155380966400 166306190600 175059148000 188382233600 193519930880 194226208000 207073856000 207882738250 212871923968 224075709440 235477792000 241899913600 254631488000 266089904960 280094636800 302374892000 332612381200 350118296000 387039861760 388452416000 414147712000 415765476500 425743847936 470955584000 483799827200 509262976000 532179809920 560189273600 604749784000 665224762400 700236592000 776904832000 831530953000 851487695872 941911168000 967599654400 1064359619840 1120378547200 1209499568000 1330449524800 1400473184000 1663061906000 1935199308800 2128719239680 2418999136000 2660899049600 2800946368000 3326123812000 4257438479360 4837998272000 5321798099200 5601892736000 6652247624000 9675996544000 10643596198400 13304495248000 21287192396800 26608990496000 53217980992000 106435961984000
• Sum of all divisors σ(n): 311069425006080
• Sum of proper divisors (its aliquot sum) s(n): 204633463022080
• 106435961984000 is an abundant number, because the sum of its proper divisors (204633463022080) is greater than itself. Its abundance is 98197501038080

Bases of 106435961984000

• Binary: 11000001100110110001101101101001001010000000000₂
• Hexadecimal: 0x60CD8DB49400
• Base-36: 11Q807O4JK

Squares and roots of 106435961984000

• 106435961984000 squared (106435961984000²) is 11328614003459493216256000000
• 106435961984000 cubed (106435961984000³) is 1205771929403624664449329506811904000000000
• The square root of 106435961984000 is 10316780.6017187357
• The cube root of 106435961984000 is 47391.0280490135

Scales and comparisons

• 106,435,961,984,000 seconds is equal to 3,384,334 years, 18 weeks, 6 days, 3 hours, 33 minutes, 20 seconds.
• To count from 1 to 106,435,961,984,000 would take you about eight million, four hundred sixty thousand, eight hundred thirty-five 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 106435961984000 cubic inches would be around 3949.3 feet tall.

Recreational maths with 106435961984000

• 106435961984000 backwards is 000489169534601
• The number of decimal digits it has is: 15
• The sum of 106435961984000's digits is 56
• More coming soon!