137493942733356768

Names of 137493942733356768

• Cardinal: 137493942733356768 can be written as One hundred thirty-seven quadrillion, four hundred ninety-three trillion, nine hundred forty-two billion, seven hundred thirty-three million, three hundred fifty-six thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 1.37493942733356768 × 10¹⁷

Factors of 137493942733356768

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 3978313453

Divisors of 137493942733356768

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 4 6 8 9 12 13 16 17 18 24 26 27 32 34 36 39 48 51 52 54 68 72 78 96 102 104 108 117 136 144 153 156 181 204 208 216 221 234 272 288 306 312 351 362 408 416 432 442 459 468 543 544 612 624 663 702 724 816 864 884 918 936 1086 1224 1248 1326 1404 1448 1629 1632 1768 1836 1872 1989 2172 2353 2448 2652 2808 2896 3077 3258 3536 3672 3744 3978 4344 4706 4887 4896 5304 5616 5792 5967 6154 6516 7059 7072 7344 7956 8688 9231 9412 9774 10608 11232 11934 12308 13032 14118 14688 15912 17376 18462 18824 19548 21177 21216 23868 24616 26064 27693 28236 31824 36924 37648 39096 40001 42354 47736 49232 52128 55386 56472 63531 63648 73848 75296 78192 80002 83079 84708 95472 98464 110772 112944 120003 127062 147696 156384 160004 166158 169416 190944 221544 225888 240006 254124 295392 320008 332316 338832 360009 443088 480012 508248 640016 664632 677664 720018 886176 960024 1016496 1080027 1280032 1329264 1440036 1920048 2032992 2160054 2658528 2880072 3840096 4320108 5760144 8640216 11520288 17280432 34560864 3978313237 7956626474 11934939711 15913252948 23869879422 31826505896 35804819133 47739758844 51718072081 63653011792 67631325029 71609638266 95479517688 103436144162 107414457399 127306023584 135262650058 143219276532 155154216243 190959035376 202893975087 206872288324 214828914798 270525300116 286438553064 310308432486 381918070752 405787950174 413744576648 429657829596 465462648729 541050600232 572877106128 608681925261 620616864972 720074695897 811575900348 827489153296 859315659192 879207225377 930925297458 1082101200464 1145754212256 1217363850522 1241233729944 1396387946187 1440149391794 1623151800696 1654978306592 1718631318384 1758414450754 1826045775783 1861850594916 2160224087691 2164202400928 2434727701044 2482467459888 2637621676131 2792775892374 2880298783588 3246303601392 3437262636768 3516828901508 3652091551566 3723701189832 4320448175382 4869455402088 4964934919776 5275243352262 5585551784748 5760597567176 6480672263073 6492607202784 7033657803016 7304183103132 7447402379664 7912865028393 8640896350764 9360971046661 9738910804176 10550486704524 11171103569496 11521195134352 12241269830249 12961344526146 14067315606032 14608366206264 14894804759328 15825730056786 17281792701528 18721942093322 19442016789219 19477821608352 21100973409048 22342207138992 23042390268704 23738595085179 24482539660498 25922689052292 28082913139983 28134631212064 29216732412528 31651460113572 34563585403056 36723809490747 37443884186644 38884033578438 42201946818096 44684414277984 47477190170358 48965079320996 51845378104584 56165826279966 58433464825056 63302920227144 69127170806112 73447618981494 74887768373288 77768067156876 84248739419949 84403893636192 94954380340716 97930158641992 103690756209168 110171428472241 112331652559932 126605840454288 146895237962988 149775536746576 155536134313752 159136507793237 168497478839898 189908760681432 195860317283984 207381512418336 220342856944482 224663305119864 252746218259847 253211680908576 293790475925976 299551073493152 311072268627504 318273015586474 330514285416723 336994957679796 379817521362864 391720634567968 440685713888964 449326610239728 477409523379711 505492436519694 587580951851952 622144537255008 636546031172948 661028570833446 673989915359592 759635042725728 881371427777928 898653220479456 954819046759422 1010984873039388 1175161903703904 1273092062345896 1322057141666892 1347979830719184 1432228570139133 1762742855555856 1909638093518844 2021969746078776 2546184124691792 2644114283333784 2695959661438368 2864457140278266 3525485711111712 3819276187037688 4043939492157552 4296685710417399 5092368249383584 5288228566667568 5728914280556532 7638552374075376 8087878984315104 8593371420834798 10576457133335136 11457828561113064 15277104748150752 17186742841669596 22915657122226128 34373485683339192 45831314244452256 68746971366678384 137493942733356768
• Sum of all divisors σ(n): 459802623036032640
• Sum of proper divisors (its aliquot sum) s(n): 322308680302675872
• 137493942733356768 is an abundant number, because the sum of its proper divisors (322308680302675872) is greater than itself. Its abundance is 184814737569319104

Bases of 137493942733356768

• Binary: 111101000011110100000001100101111011000111011111011100000₂
• Hexadecimal: 0x1E87A032F63BEE0
• Base-36: 11LTJ9AZ1FC0

Squares and roots of 137493942733356768

• 137493942733356768 squared (137493942733356768²) is 18904584288363590387211061171405824
• 137493942733356768 cubed (137493942733356768³) is 2599265829542179605708857841700696778030677105016832
• The square root of 137493942733356768 is 370801756.6481539311
• The cube root of 137493942733356768 is 516132.4784703291

Scales and comparisons

• 137,493,942,733,356,768 seconds is equal to 4,371,882,082 years, 12 weeks, 8 hours, 52 minutes, 48 seconds.
• To count from 1 to 137,493,942,733,356,768 would take you about thirteen billion, one hundred fifteen million, six hundred forty-six thousand, two 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 137493942733356768 cubic inches would be around 43011 feet tall.

Recreational maths with 137493942733356768

• 137493942733356768 backwards is 867653337249394731
• The number of decimal digits it has is: 18
• The sum of 137493942733356768's digits is 90
• More coming soon!