106271910671720640

Names of 106271910671720640

• Cardinal: 106271910671720640 can be written as One hundred six quadrillion, two hundred seventy-one trillion, nine hundred ten billion, six hundred seventy-one million, seven hundred twenty thousand, six hundred forty.

Scientific notation

• Scientific notation: 1.0627191067172064 × 10¹⁷

Factors of 106271910671720640

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 2528350

Divisors of 106271910671720640

• Number of divisors d(n): 448
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 28 30 32 33 35 40 42 44 48 55 56 60 64 66 70 77 80 84 88 96 105 110 112 120 132 140 154 160 165 168 176 192 210 220 224 231 240 264 280 308 320 330 336 352 385 420 440 448 462 480 528 560 616 660 672 704 770 840 880 924 960 1056 1120 1155 1232 1320 1344 1540 1680 1760 1848 2112 2240 2310 2464 2640 3080 3360 3520 3696 4620 4928 5280 6160 6720 7392 9240 10560 12320 14784 18480 24640 36960 73920 863609 1664713 1727218 2590827 3329426 3454436 4318045 4994139 5181654 6045263 6658852 6908872 8323565 8636090 9499699 9988278 10363308 11652991 12090526 12954135 13317704 13817744 16647130 17272180 18135789 18311843 18999398 19976556 20726616 23305982 24181052 24970695 25908270 26635408 27635488 28499097 30226315 33294260 34544360 34958973 36271578 36623686 37998796 39953112 41453232 46611964 47498495 48362104 49941390 51816540 53270816 54935529 55270976 56998194 58264955 60452630 66497893 66588520 69088720 69917946 72543156 73247372 75997592 79906224 82906464 90678945 91559215 93223928 94996990 96724208 99882780 103633080 106541632 109871058 113996388 116529910 120905260 128182901 132995786 133177040 138177440 139835892 142495485 145086312 146494744 151995184 159812448 165812928 174794865 181357890 183118430 186447856 189993980 193448416 199493679 199765560 207266160 219742116 227992776 233059820 241810520 256365802 265991572 266354080 274677645 276354880 279671784 284990970 290172624 292989488 303990368 319624896 332489465 349589730 362715780 366236860 372895712 379987960 384548703 386896832 398987358 399531120 414532320 439484232 455985552 466119640 483621040 512731604 531983144 532708160 549355290 559343568 569981940 580345248 585978976 607980736 640914505 664978930 699179460 725431560 732473720 745791424 759975920 769097406 797974716 799062240 829064640 878968464 911971104 932239280 967242080 997468395 1025463208 1063966288 1098710580 1118687136 1139963880 1160690496 1171957952 1281829010 1329957860 1398358920 1450863120 1464947440 1519951840 1538194812 1595949432 1598124480 1757936928 1823942208 1864478560 1922743515 1934484160 1994936790 2050926416 2127932576 2197421160 2237374272 2279927760 2563658020 2659915720 2796717840 2901726240 2929894880 3039903680 3076389624 3191898864 3515873856 3728957120 3845487030 3989873580 4101852832 4255865152 4394842320 4559855520 5127316040 5319831440 5593435680 5803452480 5859789760 6152779248 6383797728 7690974060 7979747160 8203705664 8789684640 9119711040 10254632080 10639662880 11186871360 12305558496 12767595456 15381948120 15959494320 17579369280 20509264160 21279325760 24611116992 30763896240 31918988640 41018528320 61527792480 63837977280 123055584960 1437661129217 2875322258434 4312983387651 5750644516868 7188305646085 8625966775302 10063627904519 11501289033736 14376611292170 15814272421387 17251933550604 20127255809038 21564916938255 23002578067472 28753222584340 30190883713557 31628544842774 34503867101208 40254511618076 43129833876510 46005156134944 47442817264161 50318139522595 57506445168680 60381767427114 63257089685548 69007734202416 79071362106935 80509023236152 86259667753020 92010312269888 94885634528322 100636279045190 110699906949709 115012890337360 120763534854228 126514179371096 138015468404832 150954418567785 158142724213870 161018046472304 172519335506040 189771269056644 201272558090380 221399813899418 230025780674720 237214086320805 241527069708456 253028358742192 276030936809664 301908837135570 316285448427740 322036092944608 332099720849127 345038671012080 379542538113288 402545116180760 442799627798836 460051561349440 474428172641610 483054139416912 506056717484384 553499534748545 603817674271140 632570896855480 644072185889216 664199441698254 690077342024160 759085076226576 805090232361520 885599255597672 948856345283220 966108278833824 1012113434968768 1106999069497090 1207635348542280 1265141793710960 1328398883396508 1380154684048320 1518170152453152 1610180464723040 1660498604245635 1771198511195344 1897712690566440 1932216557667648 2213998138994180 2415270697084560 2530283587421920 2656797766793016 3036340304906304 3220360929446080 3320997208491270 3542397022390688 3795425381132880 4427996277988360 4830541394169120 5060567174843840 5313595533586032 6641994416982540 7084794044781376 7590850762265760 8855992555976720 9661082788338240 10627191067172064 13283988833965080 15181701524531520 17711985111953440 21254382134344128 26567977667930160 35423970223906880 53135955335860320 106271910671720640
• Sum of all divisors σ(n): 420671887505464320
• Sum of proper divisors (its aliquot sum) s(n): 314399976833743680
• 106271910671720640 is an abundant number, because the sum of its proper divisors (314399976833743680) is greater than itself. Its abundance is 208128066162023040

Bases of 106271910671720640

• Binary: 101111001100011011011110101011101001100001010000011000000₂
• Hexadecimal: 0x1798DBD5D30A0C0
• Base-36: T2E8XSAIQIO

Squares and roots of 106271910671720640

• 106271910671720640 squared (106271910671720640²) is 11293718997818171249653418202009600
• 106271910671720640 cubed (106271910671720640³) is 1200205096487647044602336185803119883177537798144000
• The square root of 106271910671720640 is 325993727.9637763829
• The cube root of 106271910671720640 is 473666.6736624997

Scales and comparisons

• 106,271,910,671,720,640 seconds is equal to 3,379,118,038 years, 39 weeks, 2 days, 21 hours, 4 minutes.
• To count from 1 to 106,271,910,671,720,640 would take you about ten billion, one hundred thirty-seven million, three hundred fifty-four thousand, one hundred sixteen 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 106271910671720640 cubic inches would be around 39472.2 feet tall.

Recreational maths with 106271910671720640

• 106271910671720640 backwards is 046027176019172601
• 106271910671720640 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 106271910671720640's digits is 60
• More coming soon!