137139564968017920

Names of 137139564968017920

• Cardinal: 137139564968017920 can be written as One hundred thirty-seven quadrillion, one hundred thirty-nine trillion, five hundred sixty-four billion, nine hundred sixty-eight million, seventeen thousand, nine hundred twenty.

Scientific notation

• Scientific notation: 1.3713956496801792 × 10¹⁷

Factors of 137139564968017920

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 24
• Sum of prime factors: 17405

Divisors of 137139564968017920

• Number of divisors d(n): 1296
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 28 30 32 33 35 36 40 42 44 45 48 55 56 60 63 64 66 70 72 77 80 84 88 90 96 99 105 110 112 120 126 128 132 140 144 154 160 165 168 176 180 192 198 210 220 224 231 240 252 256 264 280 288 308 315 320 330 336 352 360 384 385 396 420 440 448 462 480 495 504 512 528 560 576 616 630 640 660 672 693 704 720 768 770 792 840 880 896 924 960 990 1008 1024 1056 1120 1152 1155 1232 1260 1280 1320 1344 1386 1408 1440 1536 1540 1584 1680 1760 1792 1848 1920 1980 2016 2048 2112 2240 2304 2310 2464 2520 2560 2640 2688 2772 2816 2880 3072 3080 3168 3360 3465 3520 3584 3696 3840 3960 4032 4096 4224 4480 4608 4620 4928 5040 5120 5280 5376 5544 5632 5760 6144 6160 6336 6720 6930 7040 7168 7392 7680 7920 8064 8192 8448 8960 9216 9240 9856 10080 10240 10560 10752 11088 11264 11520 12288 12320 12672 13440 13860 14080 14336 14784 15360 15840 16128 16384 16896 17377 17920 18432 18480 19712 20160 20480 21120 21504 22176 22528 23040 24576 24640 25344 26880 27720 28160 28672 29568 30720 31680 32256 32768 33792 34754 35840 36864 36960 39424 40320 40960 42240 43008 44352 45056 46080 49152 49280 50688 52131 53760 55440 56320 57344 59136 61440 63360 64512 65536 67584 69508 71680 73728 73920 78848 80640 81920 84480 86016 86885 88704 90112 92160 98304 98560 101376 104262 107520 110880 112640 114688 118272 121639 122880 126720 129024 131072 135168 139016 143360 147456 147840 156393 157696 161280 163840 168960 172032 173770 177408 180224 184320 191147 196608 197120 202752 208524 215040 221760 225280 229376 236544 243278 245760 253440 258048 260655 270336 278032 286720 294912 295680 312786 315392 322560 327680 337920 344064 347540 354816 360448 364917 368640 382294 393216 394240 405504 417048 430080 443520 450560 458752 473088 486556 491520 506880 516096 521310 540672 556064 573440 573441 589824 591360 608195 625572 630784 645120 655360 675840 688128 695080 709632 720896 729834 737280 764588 781965 788480 811008 834096 860160 887040 901120 917504 946176 955735 973112 983040 1013760 1032192 1042620 1081344 1094751 1112128 1146880 1146882 1179648 1182720 1216390 1251144 1261568 1290240 1338029 1351680 1376256 1390160 1419264 1441792 1459668 1474560 1529176 1563930 1576960 1622016 1668192 1720320 1720323 1774080 1802240 1824585 1892352 1911470 1946224 1966080 2027520 2064384 2085240 2162688 2189502 2224256 2293760 2293764 2365440 2432780 2502288 2523136 2580480 2676058 2703360 2752512 2780320 2838528 2867205 2919336 2949120 3058352 3127860 3153920 3244032 3336384 3440640 3440646 3548160 3604480 3649170 3784704 3822940 3892448 4014087 4055040 4128768 4170480 4325376 4379004 4448512 4587520 4587528 4730880 4865560 5004576 5046272 5160960 5352116 5406720 5473755 5560640 5677056 5734410 5838672 5898240 6116704 6255720 6307840 6488064 6672768 6690145 6881280 6881292 7096320 7208960 7298340 7569408 7645880 7784896 8028174 8110080 8257536 8340960 8601615 8758008 8897024 9175056 9461760 9731120 10009152 10092544 10321920 10704232 10813440 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318869896224 328834007040 338195344480 347858068608 348763948995 358728007680 372014878928 375810293760 380469762540 386508965120 394600808448 398587370280 405834413376 418516738794 425159861632 434822585760 438445342720 463810758144 465018598660 478304844336 493251010560 507293016720 526134411264 531449827040 541112551168 558022318392 563715440640 579763447680 597881055420 608751620064 618414344192 637739792448 657668014080 676390688960 695716137216 697527897990 717456015360 744029757856 760939525080 773017930240 789201616896 797174740560 811668826752 837033477588 850319723264 869645171520 876890685440 927621516288 930037197320 956609688672 986502021120 1014586033440 1046291846985 1062899654080 1082225102336 1116044636784 1127430881280 1159526895360 1195762110840 1217503240128 1236828688384 1275479584896 1315336028160 1352781377920 1391432274432 1395055795980 1488059515712 1521879050160 1546035860480 1578403233792 1594349481120 1623337653504 1674066955176 1700639446528 1739290343040 1855243032576 1860074394640 1913219377344 1973004042240 2029172066880 2092583693970 2125799308160 2164450204672 2232089273568 2319053790720 2391524221680 2435006480256 2473657376768 2550959169792 2630672056320 2705562755840 2782864548864 2790111591960 2976119031424 3043758100320 3092071720960 3188698962240 3246675307008 3348133910352 3401278893056 3478580686080 3710486065152 3720148789280 3826438754688 3946008084480 4058344133760 4185167387940 4251598616320 4328900409344 4464178547136 4638107581440 4783048443360 4870012960512 4947314753536 5101918339584 5411125511680 5565729097728 5580223183920 5952238062848 6087516200640 6184143441920 6377397924480 6493350614016 6696267820704 6802557786112 6957161372160 7420972130304 7440297578560 7652877509376 7892016168960 8116688267520 8370334775880 8503197232640 8657800818688 8928357094272 9276215162880 9566096886720 9740025921024 9894629507072 10203836679168 10822251023360 11131458195456 11160446367840 11904476125696 12175032401280 12368286883840 12754795848960 12986701228032 13392535641408 13605115572224 13914322744320 14841944260608 14880595157120 15305755018752 16233376535040 16740669551760 17006394465280 17315601637376 17856714188544 18552430325760 19132193773440 19480051842048 19789259014144 20407673358336 21644502046720 22262916390912 22320892735680 23808952251392 24350064802560 24736573767680 25509591697920 25973402456064 26785071282816 27210231144448 27828645488640 29683888521216 29761190314240 30611510037504 32466753070080 33481339103520 34012788930560 34631203274752 35713428377088 37104860651520 38264387546880 38960103684096 39578518028288 40815346716672 43289004093440 44525832781824 44641785471360 47617904502784 48700129605120 49473147535360 51019183395840 51946804912128 53570142565632 54420462288896 55657290977280 59367777042432 59522380628480 61223020075008 64933506140160 66962678207040 68025577861120 69262406549504 71426856754176 74209721303040 76528775093760 77920207368192 81630693433344 86578008186880 89051665563648 89283570942720 95235809005568 97400259210240 98946295070720 102038366791680 103893609824256 107140285131264 108840924577792 111314581954560 118735554084864 119044761256960 122446040150016 129867012280320 133925356414080 136051155722240 138524813099008 142853713508352 148419442606080 153057550187520 155840414736384 163261386866688 173156016373760 178103331127296 178567141885440 190471618011136 194800518420480 197892590141440 204076733583360 207787219648512 214280570262528 217681849155584 222629163909120 238089522513920 244892080300032 259734024560640 267850712828160 272102311444480 277049626198016 285707427016704 296838885212160 306115100375040 311680829472768 326522773733376 346312032747520 356206662254592 357134283770880 380943236022272 389601036840960 408153467166720 415574439297024 428561140525056 435363698311168 445258327818240 476179045027840 489784160600064 519468049121280 535701425656320 544204622888960 571414854033408 593677770424320 612230200750080 623361658945536 653045547466752 692624065495040 714268567541760 761886472044544 779202073681920 816306934333440 831148878594048 857122281050112 890516655636480 952358090055680 979568321200128 1038936098242560 1071402851312640 1088409245777920 1142829708066816 1224460401500160 1246723317891072 1306091094933504 1385248130990080 1428537135083520 1523772944089088 1558404147363840 1632613868666880 1714244562100224 1781033311272960 1904716180111360 1959136642400256 2077872196485120 2142805702625280 2176818491555840 2285659416133632 2448920803000320 2493446635782144 2857074270167040 3047545888178176 3116808294727680 3265227737333760 3428489124200448 3809432360222720 3918273284800512 4155744392970240 4285611405250560 4571318832267264 4897841606000640 5714148540334080 6233616589455360 6530455474667520 6856978248400896 7618864720445440 8571222810501120 9142637664534528 9795683212001280 11428297080668160 12467233178910720 13713956496801792 15237729440890880 17142445621002240 19591366424002560 22856594161336320 27427912993603584 34284891242004480 45713188322672640 68569782484008960 137139564968017920
• Sum of all divisors σ(n): 592759736655847488
• Sum of proper divisors (its aliquot sum) s(n): 455620171687829568
• 137139564968017920 is an abundant number, because the sum of its proper divisors (455620171687829568) is greater than itself. Its abundance is 318480606719811648

Bases of 137139564968017920

• Binary: 111100111001101111011010100101110100100100000000000000000₂
• Hexadecimal: 0x1E737B52E920000
• Base-36: 11IBX2ENBI80

Squares and roots of 137139564968017920

• 137139564968017920 squared (137139564968017920²) is 18807260279617207923032453441126400
• 137139564968017920 cubed (137139564968017920³) is 2579219492986986958235684232627769837465620185088000
• The square root of 137139564968017920 is 370323594.9382889645
• The cube root of 137139564968017920 is 515688.6692449465

Scales and comparisons

• 137,139,564,968,017,920 seconds is equal to 4,360,613,965 years, 23 weeks, 5 days, 3 hours, 12 minutes.
• To count from 1 to 137,139,564,968,017,920 would take you about thirteen billion, eighty-one million, eight hundred forty-one thousand, eight hundred ninety-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 137139564968017920 cubic inches would be around 42974.1 feet tall.

Recreational maths with 137139564968017920

• 137139564968017920 backwards is 029710869465931731
• The number of decimal digits it has is: 18
• The sum of 137139564968017920's digits is 81
• More coming soon!