146864009632387216

Names of 146864009632387216

• Cardinal: 146864009632387216 can be written as One hundred forty-six quadrillion, eight hundred sixty-four trillion, nine billion, six hundred thirty-two million, three hundred eighty-seven thousand, two hundred sixteen.

Scientific notation

• Scientific notation: 1.46864009632387216 × 10¹⁷

Factors of 146864009632387216

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 2358

Divisors of 146864009632387216

• Number of divisors d(n): 405
• Complete list of divisors:
  1 2 4 8 13 16 19 26 38 52 76 104 152 169 181 208 247 304 338 361 362 494 676 722 724 988 1352 1444 1448 1976 2143 2353 2704 2888 2896 3211 3439 3952 4286 4693 4706 5776 6422 6878 8572 9386 9412 12844 13756 17144 18772 18824 25688 27512 27859 30589 32761 34288 37544 37648 40717 44707 51376 55024 55718 61009 61178 65341 65522 75088 81434 89414 111436 122018 122356 130682 131044 162868 178828 222872 244036 244712 261364 262088 325736 357656 362167 387883 425893 445744 488072 489424 522728 524176 529321 581191 622459 651472 715312 724334 773623 775766 849433 851786 976144 1045456 1058642 1162382 1244918 1448668 1547246 1551532 1698866 1703572 2117284 2324764 2489836 2897336 3094492 3103064 3397732 3407144 4234568 4592449 4649528 4979672 5042479 5536609 5794672 6188984 6206128 6795464 6814288 6881173 7369777 8091967 8469136 9184898 9299056 9959344 10057099 10084958 11042629 11073218 11826721 12377968 13590928 13762346 14739554 16183934 18369796 20114198 20169916 22085258 22146436 23653442 27524692 29479108 32367868 36739592 40228396 40339832 44170516 44292872 47306884 55049384 58958216 59701837 64735736 65552227 70206823 73479184 80456792 80679664 87256531 88341032 88585744 94613768 95807101 105195571 110098768 117916432 119403674 129471472 130742287 131104454 140025763 140413646 153747373 160913584 174513062 176682064 189227536 191614202 210391142 238807348 261484574 262208908 280051526 280827292 307494746 349026124 383228404 420782284 477614696 522969148 524417816 560103052 561654584 614989492 698052248 766456808 776123881 831233269 841564568 912688699 955229392 1045938296 1048835632 1120206104 1123309168 1134334903 1229978984 1245492313 1333929637 1396104496 1532913616 1552247762 1657874089 1662466538 1683129136 1820334919 1825377398 1998715849 2091876592 2240412208 2268669806 2459957968 2490984626 2667859274 3104495524 3315748178 3324933076 3640669838 3650754796 3997431698 4537339612 4981969252 5335718548 6208991048 6631496356 6649866152 7281339676 7301509592 7994863396 9074679224 9963938504 10671437096 10806032497 11864953087 12417982096 13262992712 13299732304 14562679352 14603019184 14746353739 15793432111 15989726792 17341085281 18149358448 19927877008 21342874192 21552363157 21612064994 23664353947 23729906174 25344663103 26525985424 29125358704 29492707478 31586864222 31979453584 34682170562 43104726314 43224129988 47328707894 47459812348 50689326206 58985414956 63173728444 69364341124 86209452628 86448259976 94657415788 94919624696 101378652412 117970829912 126347456888 138728682248 140478422461 150453221689 172418905256 172896519952 189314831576 189839249392 202757304824 205314617443 225434108653 235941659824 252694913776 277457364496 280180721041 280956844922 300075210109 300906443378 329480620339 344837810512 378629663152 405514609648 410629234886 450868217306 560361442082 561913689844 600150420218 601812886756 658961240678 821258469772 901736434612 1120722884164 1123827379688 1200300840436 1203625773512 1317922481356 1642516939544 1803472869224 1955891881957 2241445768328 2247654759376 2400601680872 2407251547024 2635844962712 2669090026759 2858611212091 3285033879088 3606945738448 3900977731417 3911783763914 4283248064407 4482891536656 4801203361744 5271689925424 5338180053518 5717222424182 7801955462834 7823567527828 8566496128814 10676360107036 11434444848364 15603910925668 15647135055656 17132992257628 21352720214072 22868889696728 25426594465441 31207821851336 31294270111312 34265984515256 37161945757183 42705440428144 45737779393456 50712710508421 50853188930882 54313613029729 62415643702672 68531969030512 74323891514366 101425421016842 101706377861764 108627226059458 148647783028732 202850842033684 203412755723528 217254452118916 297295566057464 405701684067368 406825511447056 434508904237832 483105294843379 594591132114928 706076969386477 811403368134736 869017808475664 966210589686758 1412153938772954 1932421179373516 2824307877545908 3864842358747032 5648615755091816 7729684717494064 9179000602024201 11297231510183632 18358001204048402 36716002408096804 73432004816193608 146864009632387216
• Sum of all divisors σ(n): 327150773973722187
• Sum of proper divisors (its aliquot sum) s(n): 180286764341334971
• 146864009632387216 is an abundant number, because the sum of its proper divisors (180286764341334971) is greater than itself. Its abundance is 33422754708947755

Bases of 146864009632387216

• Binary: 1000001001110001000000100111100100011011011001000010010000₂
• Hexadecimal: 0x209C409E46D9090
• Base-36: 1462Y2M2RIJ4

Squares and roots of 146864009632387216

• 146864009632387216 squared (146864009632387216²) is 21569037325301924964131478960230656
• 146864009632387216 cubed (146864009632387216³) is 3167715305504461301597300890706631542482743265693696
• 146864009632387216 is a perfect square number. Its square root is 383228404
• The cube root of 146864009632387216 is 527600.4131986579

Scales and comparisons

• 146,864,009,632,387,216 seconds is equal to 4,669,821,226 years, 5 weeks, 1 day, 18 hours, 40 minutes, 16 seconds.
• To count from 1 to 146,864,009,632,387,216 would take you about fourteen billion, nine million, four hundred sixty-three thousand, six 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 146864009632387216 cubic inches would be around 43966.7 feet tall.

Recreational maths with 146864009632387216

• 146864009632387216 backwards is 612783236900468641
• 146864009632387216 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 146864009632387216's digits is 76
• More coming soon!