137973047065146720

Names of 137973047065146720

• Cardinal: 137973047065146720 can be written as One hundred thirty-seven quadrillion, nine hundred seventy-three trillion, forty-seven billion, sixty-five million, one hundred forty-six thousand, seven hundred twenty.

Scientific notation

• Scientific notation: 1.3797304706514672 × 10¹⁷

Factors of 137973047065146720

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 744

Divisors of 137973047065146720

• Number of divisors d(n): 720
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 49 56 60 63 70 72 80 84 90 96 98 105 112 120 126 140 144 147 160 168 180 196 210 224 240 245 252 280 288 294 315 336 343 360 392 420 441 480 490 504 560 588 630 672 686 720 727 735 784 840 882 980 1008 1029 1120 1176 1260 1372 1440 1454 1470 1568 1680 1715 1764 1960 2016 2058 2181 2205 2352 2520 2744 2908 2940 3087 3360 3430 3528 3635 3920 4116 4362 4410 4704 5040 5089 5145 5488 5816 5880 6174 6543 6860 7056 7270 7840 8232 8724 8820 10080 10178 10290 10905 10976 11632 11760 12348 13086 13720 14112 14540 15267 15435 16464 17448 17640 20356 20580 21810 23264 23520 24696 25445 26172 27440 29080 30534 30870 32715 32928 34896 35280 35623 40712 41160 43620 45801 49392 50890 52344 54880 58160 61068 61740 65430 69792 70560 71246 76335 81424 82320 87240 91602 98784 101780 104688 106869 116320 122136 123480 130860 142492 152670 162848 164640 174480 178115 183204 203560 209376 213738 229005 244272 246960 249361 261720 284984 305340 320607 348960 356230 366408 407120 427476 458010 488544 493920 498722 523440 528529 534345 569968 610680 641214 712460 732816 748083 814240 854952 916020 997444 1046880 1057058 1068690 1139936 1221360 1246805 1282428 1424920 1465632 1496166 1585587 1603035 1709904 1832040 1994888 2114116 2137380 2244249 2442720 2493610 2564856 2642645 2849840 2992332 3171174 3206070 3419808 3664080 3699703 3740415 3989776 4228232 4274760 4488498 4756761 4987220 5129712 5285290 5699680 5984664 6342348 6412140 7328160 7399406 7480830 7927935 7979552 8456464 8549520 8976996 9513522 9974440 10259424 10570580 11099109 11221245 11969328 12684696 12824280 14798812 14961660 15855870 16912928 17099040 17953992 18498515 19027044 19948880 21141160 22198218 22442490 23783805 23938656 25369392 25648560 25897921 29597624 29923320 31711740 33297327 35907984 36997030 38054088 39897760 42282320 44396436 44884980 47567610 50738784 51297120 51795842 55495545 59195248 59846640 63423480 66594654 71815968 73994060 76108176 77693763 84564640 88792872 89769960 95135220 103591684 110991090 118390496 119693280 126846960 129489605 133189308 147988120 152216352 155387526 166486635 177585744 179539920 181285447 190270440 207183368 221982180 233081289 253693920 258979210 266378616 295976240 310775052 332973270 355171488 359079840 362570894 380540880 384240583 388468815 414366736 443964360 466162578 517958420 532757232 543856341 591952480 621550104 665946540 725141788 761081760 768481166 776937630 828733472 887928720 906427235 932325156 1035916840 1065514464 1087712682 1152721749 1165406445 1243100208 1331893080 1450283576 1536962332 1553875260 1631569023 1775857440 1812854470 1864650312 1921202915 2071833680 2175425364 2305443498 2330812890 2486200416 2663786160 2689684081 2719281705 2900567152 3073924664 3107750520 3263138046 3458165247 3625708940 3729300624 3842405830 4143667360 4350850728 4610886996 4661625780 5327572320 5379368162 5438563410 5763608745 5801134304 6147849328 6215501040 6526276092 6916330494 7251417880 7458601248 7684811660 8069052243 8157845115 8701701456 9221773992 9323251560 10758736324 10877126820 11527217490 12295698656 12431002080 13052552184 13448420405 13832660988 14502835760 15369623320 16138104486 16315690230 17290826235 17403402912 18443547984 18646503120 18827788567 21517472648 21754253640 23054434980 24207156729 26105104368 26896840810 27665321976 29005671520 30739246640 32276208972 32631380460 34581652470 36887095968 37293006240 37655577134 40345261215 43034945296 43508507280 46108869960 48414313458 52210208736 53793681620 55330643952 56483365701 61478493280 64552417944 65262760920 69163304940 75311154268 80690522430 86069890592 87017014560 92217739920 94138942835 96828626916 107587363240 110661287904 112966731402 121035783645 129104835888 130525521840 131794519969 138326609880 150622308536 161381044860 169450097103 184435479840 188277885670 193657253832 215174726480 225933462804 242071567290 258209671776 261051043680 263589039938 276653219760 279342903841 282416828505 301244617072 322762089720 338900194206 376555771340 387314507664 395383559907 430349452960 451866925608 484143134580 527178079876 553306439520 558685807682 564833657010 602489234144 645524179440 658972599845 677800388412 753111542680 774629015328 790767119814 838028711523 847250485515 903733851216 968286269160 1054356159752 1117371615364 1129667314020 1186150679721 1291048358880 1317945199690 1355600776824 1396714519205 1506223085360 1581534239628 1676057423046 1694500971030 1807467702432 1936572538320 1955400326887 1976917799535 2108712319504 2234743230728 2259334628040 2372301359442 2514086134569 2635890399380 2711201553648 2793429038410 3012446170720 3163068479256 3352114846092 3389001942060 3873145076640 3910800653774 3953835599070 4190143557615 4217424639008 4469486461456 4518669256080 4744602718884 5028172269138 5271780798760 5422403107296 5586858076820 5866200980661 5930753398605 6326136958512 6704229692184 6778003884120 7821601307548 7907671198140 8380287115230 8938972922912 9037338512160 9489205437768 9777001634435 10056344538276 10543561597520 11173716153640 11732401961322 11861506797210 12570430672845 12652273917024 13408459384368 13556007768240 13687802288209 15643202615096 15815342396280 16760574230460 17598602941983 18978410875536 19554003268870 20112689076552 21087123195040 22347432307280 23464803922644 23723013594420 25140861345690 26816918768736 27112015536480 27375604576418 29331004903305 31286405230192 31630684792560 33521148460920 35197205883966 37956821751072 39108006537740 40225378153104 41063406864627 44694864614560 46929607845288 47446027188840 50281722691380 54751209152836 58662009806610 62572810460384 63261369585120 67042296921840 68439011441045 70394411767932 78216013075480 80450756306208 82126813729254 87993014709915 93859215690576 94892054377680 95814616017463 100563445382760 109502418305672 117324019613220 123190220593881 134084593843680 136878022882090 140788823535864 156432026150960 164253627458508 175986029419830 187718431381152 189784108755360 191629232034926 201126890765520 205317034323135 219004836611344 234648039226440 246380441187762 273756045764180 281577647071728 287443848052389 312864052301920 328507254917016 351972058839660 383258464069852 402253781531040 410634068646270 438009673222688 469296078452880 479073080087315 492760882375524 547512091528360 563155294143456 574887696104778 615951102969405 657014509834032 703944117679320 766516928139704 821268137292540 862331544157167 938592156905760 958146160174630 985521764751048 1095024183056720 1149775392209556 1231902205938810 1314029019668064 1407888235358640 1437219240261945 1533033856279408 1642536274585080 1724663088314334 1916292320349260 1971043529502096 2190048366113440 2299550784419112 2463804411877620 2815776470717280 2874438480523890 3066067712558816 3285072549170160 3449326176628668 3832584640698520 3942087059004192 4311657720785835 4599101568838224 4927608823755240 5748876961047780 6570145098340320 6898652353257336 7665169281397040 8623315441571670 9198203137676448 9855217647510480 11497753922095560 13797304706514672 15330338562794080 17246630883143340 19710435295020960 22995507844191120 27594609413029344 34493261766286680 45991015688382240 68986523532573360 137973047065146720
• Sum of all divisors σ(n): 549832715387373600
• Sum of proper divisors (its aliquot sum) s(n): 411859668322226880
• 137973047065146720 is an abundant number, because the sum of its proper divisors (411859668322226880) is greater than itself. Its abundance is 273886621257080160

Bases of 137973047065146720

• Binary: 111101010001011011100000101011010111001010111010101100000₂
• Hexadecimal: 0x1EA2DC15AE57560
• Base-36: 11QJD2SO2VS0

Squares and roots of 137973047065146720

• 137973047065146720 squared (137973047065146720²) is 19036561716441191925155775126758400
• 137973047065146720 cubed (137973047065146720³) is 2626532425661110802129251970700051919410693992448000
• The square root of 137973047065146720 is 371447233.2177838689
• The cube root of 137973047065146720 is 516731.2797333459

Scales and comparisons

• 137,973,047,065,146,720 seconds is equal to 4,387,116,118 years, 5 days, 17 hours, 12 minutes.
• To count from 1 to 137,973,047,065,146,720 would take you about thirteen billion, one hundred sixty-one million, three hundred forty-eight thousand, three hundred fifty-four 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 137973047065146720 cubic inches would be around 43060.9 feet tall.

Recreational maths with 137973047065146720

• 137973047065146720 backwards is 027641560740379731
• 137973047065146720 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 137973047065146720's digits is 72
• More coming soon!