106977309776640

Names of 106977309776640

• Cardinal: 106977309776640 can be written as One hundred six trillion, nine hundred seventy-seven billion, three hundred nine million, seven hundred seventy-six thousand, six hundred forty.

Scientific notation

• Scientific notation: 1.0697730977664 × 10¹⁴

Factors of 106977309776640

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 192

Divisors of 106977309776640

• Number of divisors d(n): 720
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 73 80 90 96 108 109 120 128 135 144 146 160 180 192 216 218 219 240 256 270 288 292 320 327 360 365 384 432 436 438 480 540 545 576 584 640 654 657 720 730 768 864 872 876 960 981 1080 1090 1095 1152 1168 1280 1308 1314 1440 1460 1635 1728 1744 1752 1920 1962 1971 2160 2180 2190 2304 2336 2616 2628 2880 2920 2943 3270 3285 3456 3488 3504 3840 3924 3942 4320 4360 4380 4672 4905 5232 5256 5329 5760 5840 5886 6540 6570 6912 6976 7008 7848 7884 7957 8640 8720 8760 9344 9810 9855 10464 10512 10658 11520 11680 11772 13080 13140 13952 14016 14715 15696 15768 15914 15987 17280 17440 17520 18688 19620 19710 20928 21024 21316 23360 23544 23871 26160 26280 26645 27904 28032 29430 31392 31536 31828 31974 34560 34880 35040 39240 39420 39785 41856 42048 42632 46720 47088 47742 47961 52320 52560 53290 56064 58860 62784 63072 63656 63948 69760 70080 71613 78480 78840 79570 79935 83712 84096 85264 93440 94176 95484 95922 104640 105120 106580 117720 119355 125568 126144 127312 127896 139520 140160 143226 143883 156960 157680 159140 159870 168192 170528 188352 190968 191844 209280 210240 213160 214839 235440 238710 239805 251136 252288 254624 255792 280320 286452 287766 313920 315360 318280 319740 341056 358065 376704 381936 383688 389017 418560 420480 426320 429678 470880 477420 479610 504576 509248 511584 572904 575532 580861 627840 630720 636560 639480 682112 716130 719415 753408 763872 767376 778034 840960 852640 859356 941760 954840 959220 1018496 1023168 1074195 1145808 1151064 1161722 1167051 1255680 1261440 1273120 1278960 1364224 1432260 1438830 1527744 1534752 1556068 1705280 1718712 1742583 1883520 1909680 1918440 1945085 2036992 2046336 2148390 2291616 2302128 2323444 2334102 2522880 2546240 2557920 2864520 2877660 2904305 3055488 3069504 3112136 3410560 3437424 3485166 3501153 3767040 3819360 3836880 3890170 4092672 4296780 4583232 4604256 4646888 4668204 5092480 5115840 5227749 5729040 5755320 5808610 5835255 6110976 6139008 6224272 6821120 6874848 6970332 7002306 7638720 7673760 7780340 8593560 8712915 9166464 9208512 9293776 9336408 10184960 10231680 10455498 10503459 11458080 11510640 11617220 11670510 12278016 12448544 13749696 13940664 14004612 15277440 15347520 15560680 15683247 17187120 17425830 17505765 18332928 18417024 18587552 18672816 20463360 20910996 21006918 22916160 23021280 23234440 23341020 24897088 26138745 27499392 27881328 28009224 28398241 30554880 30695040 31121360 31366494 34374240 34851660 35011530 36834048 37175104 37345632 41821992 42013836 42402853 45832320 46042560 46468880 46682040 49794176 52277490 52517295 54998784 55762656 56018448 56796482 61390080 62242720 62732988 68748480 69703320 70023060 74350208 74691264 78416235 83643984 84027672 84805706 85194723 91664640 92085120 92937760 93364080 99588352 104554980 105034590 111525312 112036896 113592964 124485440 125465976 127208559 137496960 139406640 140046120 141991205 148700416 149382528 156832470 167287968 168055344 169611412 170389446 184170240 185875520 186728160 209109960 210069180 212014265 223050624 224073792 227185928 248970880 250931952 254417118 255584169 274993920 278813280 280092240 283982410 298765056 313664940 334575936 336110688 339222824 340778892 371751040 373456320 381625677 418219920 420138360 424028530 425973615 446101248 448147584 454371856 497941760 501863904 508834236 511168338 557626560 560184480 567964820 627329880 636042795 669151872 672221376 678445648 681557784 743502080 746912640 763251354 766752507 836439840 840276720 848057060 851947230 896295168 908743712 1003727808 1017668472 1022336676 1115253120 1120368960 1135929640 1144877031 1254659760 1272085590 1277920845 1338303744 1344442752 1356891296 1363115568 1493825280 1526502708 1533505014 1672879680 1680553440 1696114120 1703894460 1817487424 1908128385 2007455616 2035336944 2044673352 2230506240 2240737920 2271859280 2289754062 2509319520 2544171180 2555841690 2688885504 2713782592 2726231136 3053005416 3067010028 3095408269 3345759360 3361106880 3392228240 3407788920 3634974848 3816256770 3833762535 4014911232 4070673888 4089346704 4481475840 4543718560 4579508124 5018639040 5088342360 5111683380 5427565184 5452462272 5724385155 6106010832 6134020056 6190816538 6691518720 6722213760 6784456480 6815577840 7269949696 7632513540 7667525070 8141347776 8178693408 9087437120 9159016248 9286224807 10037278080 10176684720 10223366760 10855130368 10904924544 11448770310 12212021664 12268040112 12381633076 13444427520 13568912960 13631155680 15265027080 15335050140 15477041345 16282695552 16357386816 18174874240 18318032496 18572449614 20074556160 20353369440 20446733520 21809849088 22897540620 24424043328 24536080224 24763266152 27137825920 27262311360 27858674421 30530054160 30670100280 30954082690 32565391104 32714773632 36349748480 36636064992 37144899228 40706738880 40893467040 45795081240 46431124035 48848086656 49072160448 49526532304 54275651840 54524622720 55717348842 61060108320 61340200560 61908165380 65429547264 73272129984 74289798456 81413477760 81786934080 83576023263 91590162480 92862248070 97696173312 98144320896 99053064608 109049245440 111434697684 122120216640 122680401120 123816330760 139293372105 146544259968 148579596912 162826955520 163573868160 167152046526 183180324960 185724496140 196288641792 198106129216 222869395368 244240433280 245360802240 247632661520 278586744210 293088519936 297159193824 327147736320 334304093052 366360649920 371448992280 396212258432 417880116315 445738790736 488480866560 490721604480 495265323040 557173488420 594318387648 668608186104 732721299840 742897984560 792424516864 835760232630 891477581472 981443208960 990530646080 1114346976840 1188636775296 1337216372208 1465442599680 1485795969120 1671520465260 1782955162944 1981061292160 2228693953680 2377273550592 2674432744416 2971591938240 3343040930520 3565910325888 3962122584320 4457387907360 5348865488832 5943183876480 6686081861040 7131820651776 8914775814720 10697730977664 11886367752960 13372163722080 17829551629440 21395461955328 26744327444160 35659103258880 53488654888320 106977309776640
• Sum of all divisors σ(n): 388424513954400
• Sum of proper divisors (its aliquot sum) s(n): 281447204177760
• 106977309776640 is an abundant number, because the sum of its proper divisors (281447204177760) is greater than itself. Its abundance is 174469894401120

Bases of 106977309776640

• Binary: 11000010100101110011000100011000101101100000000₂
• Hexadecimal: 0x614B988C5B00
• Base-36: 11X4P462O0

Squares and roots of 106977309776640

• 106977309776640 squared (106977309776640²) is 11444144807047196126689689600
• 106977309776640 cubed (106977309776640³) is 1224263824152213900573620471285566930944000
• The square root of 106977309776640 is 10342983.6012941643
• The cube root of 106977309776640 is 47471.2379562805

Scales and comparisons

• 106,977,309,776,640 seconds is equal to 3,401,547 years, 28 weeks, 3 days, 14 hours, 24 minutes.
• To count from 1 to 106,977,309,776,640 would take you about eight million, five hundred three thousand, eight hundred sixty-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 106977309776640 cubic inches would be around 3955.9 feet tall.

Recreational maths with 106977309776640

• 106977309776640 backwards is 046677903779601
• 106977309776640 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 106977309776640's digits is 72
• More coming soon!