106946842294600

Names of 106946842294600

• Cardinal: 106946842294600 can be written as One hundred six trillion, nine hundred forty-six billion, eight hundred forty-two million, two hundred ninety-four thousand, six hundred.

Scientific notation

• Scientific notation: 1.069468422946 × 10¹⁴

Factors of 106946842294600

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 6533

Divisors of 106946842294600

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 4 5 7 8 10 11 14 19 20 22 25 28 35 38 40 44 50 55 56 70 76 77 79 88 95 100 110 133 140 152 154 158 175 190 200 209 220 266 275 280 308 316 350 380 385 395 418 440 475 532 550 553 616 632 665 700 760 770 790 829 836 869 950 1045 1064 1100 1106 1330 1400 1463 1501 1540 1580 1658 1672 1738 1900 1925 1975 2090 2200 2212 2660 2765 2926 3002 3080 3160 3316 3325 3476 3800 3850 3950 4145 4180 4345 4424 5225 5320 5530 5581 5803 5852 6004 6083 6632 6650 6952 7315 7505 7700 7900 8290 8360 8690 9119 10450 10507 11060 11162 11606 11704 12008 12166 13300 13825 14630 15010 15400 15751 15800 16511 16580 17380 18238 20725 20900 21014 21725 22120 22324 23212 24332 26600 27650 27905 29015 29260 30020 30415 31502 33022 33160 34760 36476 36575 37525 39067 41450 41800 42028 43450 44648 45595 46424 48664 52535 55300 55810 58030 58520 60040 60830 61391 63004 63833 65491 66044 72952 73150 75050 78134 78755 82555 82900 84056 86900 91190 105070 106039 110257 110600 111620 115577 116060 121660 122782 126008 127666 130982 132088 139525 145075 146300 150100 152075 156268 157510 165110 165800 173261 173800 182380 195335 210140 212078 220514 223240 227975 231154 232120 243320 245564 255332 261964 262675 279050 290150 292600 300200 304150 306955 312536 315020 319165 327455 330220 346522 364760 390670 393775 412775 420280 424156 429737 440899 441028 455950 458437 462308 491128 510664 523928 525350 530195 551285 558100 577885 580300 608300 613910 630040 638330 654910 660440 693044 720401 742273 781340 787550 825550 848312 859474 866305 881798 882056 911900 916874 924616 976675 1050700 1060390 1102570 1116200 1155770 1160600 1166429 1212827 1216600 1227820 1244329 1276660 1309820 1386088 1440802 1484546 1534775 1562680 1575100 1595825 1637275 1651100 1718948 1732610 1763596 1823800 1833748 1953350 2101400 2120780 2148685 2204495 2205140 2292185 2311540 2332858 2425654 2455640 2488658 2553320 2619640 2650975 2756425 2881604 2889425 2969092 3069550 3086293 3150200 3191650 3274550 3302200 3437896 3465220 3527192 3602005 3667496 3711365 3906700 4241560 4297370 4331525 4408990 4410280 4584370 4623080 4626649 4665716 4849889 4851308 4977316 5042807 5301950 5512850 5763208 5778850 5832145 5938184 6064135 6139100 6172586 6221645 6383300 6549100 6930440 7204010 7422730 7813400 8165003 8377081 8594740 8663050 8710303 8817980 9168740 9253298 9331432 9699778 9702616 9954632 10085614 10603900 10743425 11022475 11025700 11460925 11557700 11664290 12128270 12278200 12345172 12443290 12766600 13098200 13687619 14408020 14845460 15431465 16330006 16754162 17189480 17326100 17420606 17635960 18010025 18337480 18506596 18556825 19399556 20171228 21207800 21486850 22044950 22051400 22921850 23115400 23133245 23328580 24249445 24256540 24690344 24886580 25214035 27375238 28816040 29160725 29690920 30320675 30862930 31108225 32386543 32660012 33508324 33949223 34652200 34841212 36020050 37013192 37113650 38799112 40342456 40825015 41885405 42973700 43551515 44089900 45843700 46266490 46657160 48498890 48513080 49773160 50428070 50893139 54750476 58321450 58639567 60641350 61725860 62216450 64773086 65320024 67016648 67898446 68438095 69682424 72040100 74227300 77157325 81650030 83770810 85947400 87103030 87906331 88179800 91687400 92147891 92532980 95813333 96997780 100856140 101786278 109500952 115666225 116642900 117279134 121247225 121282700 123451720 124432900 126070175 129546172 135796892 136876190 144080200 148454600 154314650 161932715 163300060 167541620 169746115 174206060 175812662 184295782 185065960 191626666 193995560 201712280 203572556 204125075 209427025 217757575 231332450 233285800 234558268 242494450 242565400 248865800 252140350 254465695 259092344 271593784 273752380 293197835 308629300 323865430 326600120 335083240 339492230 342190475 348412120 351625324 356251973 365505271 368591564 383253332 407145112 408250150 418854050 435515150 439531655 460739455 462664900 469116536 479066665 484988900 504280700 508931390 547504760 586395670 615344317 617258600 645035237 647730860 678984460 684380950 703250648 712503946 731010542 737183128 766506664 809663575 816500300 837708100 848730575 871030300 879063310 921478910 925329800 958133330 966969641 969977800 1008561400 1017862780 1172791340 1230688634 1272328475 1290070474 1295461720 1357968920 1368761900 1425007892 1462021084 1465989175 1619327150 1633000600 1675416200 1697461150 1742060600 1758126620 1781259865 1827526355 1842957820 1916266660 1933939282 2035725560 2197658275 2303697275 2345582680 2395333325 2461377268 2544656950 2558536897 2580140948 2737523800 2850015784 2924042168 2931978350 3076721585 3225176185 3238654300 3394922300 3516253240 3562519730 3655052710 3685915640 3832533320 3867878564 4020557981 4395316550 4607394550 4790666650 4834848205 4922754536 5089313900 5117073794 5160281896 5863956700 6153443170 6450352370 6477308600 6768787487 6789844600 6944600149 7125039460 7310105420 7735757128 8041115962 8790633100 8906299325 9137631775 9214789100 9581333300 9669696410 10178627800 10234147588 11727913400 12306886340 12792684485 12900704740 13537574974 13889200298 14250078920 14620210840 15383607925 16082231924 16125880925 17581266200 17812598650 18275263550 18429578200 19162666600 19339392820 20102789905 20468295176 24174241025 24613772680 25585368970 25801409480 27075149948 27778400596 28143905867 30767215850 32164463848 32251761850 33843937435 34723000745 35625197300 36550527100 38678785640 40205579810 48348482050 48612201043 51170737940 54150299896 55556801192 56287811734 61534431700 63963422425 64503523700 67687874870 69446001490 71250394600 73101054200 76390601639 80411159620 96696964100 97224402086 100513949525 102341475880 112575623468 123068863400 127926844850 129007047400 135375749740 138892002980 140719529335 152781203278 160822319240 169219687175 173615003725 193393928200 194448804172 201027899050 225151246936 243061005215 255853689700 270751499480 277784005960 281439058670 305562406556 338439374350 347230007450 381953008195 388897608344 402055798100 486122010430 511707379400 534734211473 562878117340 611124813112 676878748700 694460014900 703597646675 763906016390 804111596200 972244020860 1069468422946 1125756234680 1215305026075 1353757497400 1388920029800 1407195293350 1527812032780 1909765040975 1944488041720 2138936845892 2430610052150 2673671057365 2814390586700 3055624065560 3819530081950 4277873691784 4861220104300 5347342114730 5628781173400 7639060163900 9722440208600 10694684229460 13368355286825 15278120327800 21389368458920 26736710573650 53473421147300 106946842294600
• Sum of all divisors σ(n): 330911677440000
• Sum of proper divisors (its aliquot sum) s(n): 223964835145400
• 106946842294600 is an abundant number, because the sum of its proper divisors (223964835145400) is greater than itself. Its abundance is 117017992850800

Bases of 106946842294600

• Binary: 11000010100010010000000100010110111100101001000₂
• Hexadecimal: 0x6144808B7948
• Base-36: 11WQP8M72G

Squares and roots of 106946842294600

• 106946842294600 squared (106946842294600²) is 11437627076786043393189160000
• 106946842294600 cubed (106946842294600³) is 1223218099205483787397713354266246536000000
• The square root of 106946842294600 is 10341510.6389057107
• The cube root of 106946842294600 is 47466.7308746043

Scales and comparisons

• 106,946,842,294,600 seconds is equal to 3,400,578 years, 40 weeks, 2 days, 16 hours, 56 minutes, 40 seconds.
• To count from 1 to 106,946,842,294,600 would take you about eight million, five hundred one thousand, four hundred forty-six 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 106946842294600 cubic inches would be around 3955.6 feet tall.

Recreational maths with 106946842294600

• 106946842294600 backwards is 006492248649601
• The number of decimal digits it has is: 15
• The sum of 106946842294600's digits is 61
• More coming soon!