137712726018816

Names of 137712726018816

• Cardinal: 137712726018816 can be written as One hundred thirty-seven trillion, seven hundred twelve billion, seven hundred twenty-six million, eighteen thousand, eight hundred sixteen.

Scientific notation

• Scientific notation: 1.37712726018816 × 10¹⁴

Factors of 137712726018816

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 353

Divisors of 137712726018816

• Number of divisors d(n): 648
• Complete list of divisors:
  1 2 3 4 6 8 12 13 16 24 26 29 32 39 48 52 58 64 78 87 96 104 113 116 128 156 174 192 193 208 226 232 256 312 339 348 377 384 386 416 452 464 579 624 678 696 754 768 772 832 904 928 1131 1158 1248 1356 1392 1469 1508 1544 1664 1808 1856 2262 2316 2496 2509 2712 2784 2938 3016 3088 3277 3328 3616 3712 4407 4524 4632 4992 5018 5424 5568 5597 5876 6032 6176 6554 7232 7424 7527 8814 9048 9264 9831 9984 10036 10848 11136 11194 11752 12064 12352 12769 13108 14464 15054 16791 17628 18096 18528 19662 20072 21696 21809 22272 22388 23504 24128 24704 25538 26216 28928 30108 33582 35256 36192 37056 37249 38307 39324 40144 42601 43392 43618 44776 47008 48256 49408 51076 52432 60216 65427 67164 70512 72384 72761 74112 74498 76614 78648 80288 85202 86784 87236 89552 94016 96512 102152 104864 111747 120432 127803 130854 134328 141024 144768 145522 148224 148996 153228 157296 160576 165997 170404 174472 179104 188032 204304 209728 218283 223494 240864 255606 261708 268656 282048 283517 289536 291044 297992 306456 314592 321152 331994 340808 348944 358208 370301 376064 408608 419456 436566 446988 481728 484237 497991 511212 523416 537312 564096 567034 582088 595984 612912 629184 632461 642304 663988 681616 697888 716416 740602 817216 838912 850551 873132 893976 963456 968474 995982 1022424 1046832 1074624 1080221 1110903 1128192 1134068 1164176 1191968 1225824 1258368 1264922 1327976 1363232 1395776 1432832 1452711 1481204 1634432 1701102 1746264 1787952 1897383 1926912 1936948 1991964 2044848 2093664 2149248 2160442 2221806 2268136 2328352 2383936 2451648 2464417 2516736 2529844 2655952 2726464 2791552 2905422 2962408 3240663 3268864 3402204 3492528 3575904 3794766 3873896 3983928 4089696 4187328 4209137 4298496 4320884 4443612 4536272 4656704 4767872 4813913 4903296 4928834 5059688 5311904 5452928 5583104 5810844 5924816 6481326 6804408 6985056 7151808 7393251 7589532 7747792 7967856 8179392 8221993 8374656 8418274 8641768 8887224 9072544 9313408 9535744 9627826 9806592 9857668 10119376 10623808 10905856 11621688 11849632 12627411 12962652 13608816 13970112 14042873 14303616 14441739 14786502 15179064 15495584 15935712 16358784 16443986 16749312 16836548 17283536 17774448 18145088 18626816 19255652 19715336 20238752 21247616 23243376 23699264 24665979 25254822 25925304 27217632 27940224 28085746 28607232 28883478 29573004 30358128 30991168 31871424 32037421 32717568 32887972 33673096 34567072 35548896 36290176 38511304 39430672 40477504 42128619 42495232 46486752 47398528 49331958 50509644 51850608 54435264 54718781 55880448 56171492 57766956 59146008 60716256 61982336 63742848 64074842 65775944 67346192 69134144 71097792 71468093 72580352 77022608 78861344 80955008 84257238 92973504 94797056 96112263 98663916 101019288 103701216 108870528 109437562 112342984 115533912 118292016 121432512 122064973 123964672 127485696 128149684 131551888 134692384 138268288 142195584 142936186 154045216 157722688 161910016 164156343 168514476 185947008 192224526 197327832 202038576 207402432 214404279 217741056 218875124 224685968 231067824 236584032 242865024 244129946 256299368 263103776 269384768 276536576 284391168 285872372 308090432 315445376 328312686 337028952 366194919 371894016 384449052 394655664 404077152 414804864 428808558 437750248 449371936 462135648 473168064 475632481 485730048 488259892 512598736 526207552 538769536 571744744 616180864 630890752 656625372 674057904 732389838 768898104 789311328 808154304 829609728 857617116 875500496 898743872 924271296 929085209 946336128 951264962 976519784 1025197472 1052415104 1077539072 1143489488 1232361728 1313250744 1348115808 1426897443 1464779676 1537796208 1578622656 1586844649 1616308608 1715234232 1751000992 1797487744 1848542592 1858170418 1892672256 1902529924 1953039568 2050394944 2104830208 2286978976 2626501488 2696231616 2787255627 2853794886 2929559352 3075592416 3157245312 3173689298 3232617216 3430468464 3502001984 3594975488 3697085184 3716340836 3805059848 3906079136 4100789888 4573957952 4760533947 5253002976 5392463232 5574511254 5707589772 5859118704 6151184832 6183222253 6314490624 6347378596 6860936928 7004003968 7432681672 7610119696 7812158272 8201579776 9147915904 9521067894 10506005952 10784926464 11149022508 11415179544 11718237408 12302369664 12366444506 12694757192 13721873856 13793341949 14008007936 14865363344 15220239392 15624316544 18295831808 18549666759 19042135788 21012011904 22298045016 22830359088 23436474816 24604739328 24732889012 25389514384 27443747712 27586683898 29730726688 30440478784 31248633088 37099333518 38084271576 41380025847 42024023808 44596090032 45660718176 46872949632 49465778024 50779028768 54887495424 55173367796 59461453376 60880957568 74198667036 76168543152 82760051694 89192180064 91321436352 93745899264 98931556048 101558057536 110346735592 118922906752 121761915136 148397334072 152337086304 165520103388 178384360128 179313445337 182642872704 197863112096 203116115072 220693471184 237845813504 296794668144 304674172608 331040206776 356768720256 358626890674 365285745408 395726224192 406232230144 441386942368 537940336011 593589336288 609348345216 662080413552 713537440512 717253781348 791452448384 882773884736 1075880672022 1187178672576 1218696690432 1324160827104 1434507562696 1582904896768 1765547769472 2151761344044 2374357345152 2648321654208 2869015125392 3531095538944 4303522688088 4748714690304 5296643308416 5738030250784 8607045376176 10593286616832 11476060501568 17214090752352 22952121003136 34428181504704 45904242006272 68856363009408 137712726018816
• Sum of all divisors σ(n): 414112010523120
• Sum of proper divisors (its aliquot sum) s(n): 276399284504304
• 137712726018816 is an abundant number, because the sum of its proper divisors (276399284504304) is greater than itself. Its abundance is 138686558485488

Bases of 137712726018816

• Binary: 11111010011111110111110000111011000101100000000₂
• Hexadecimal: 0x7D3FBE1D8B00
• Base-36: 1CTCCPFMYO

Squares and roots of 137712726018816

• 137712726018816 squared (137712726018816²) is 18964794907533481305186041856
• 137712726018816 cubed (137712726018816³) is 2611693605104195227787357745378240019562496
• The square root of 137712726018816 is 11735106.5618858357
• The cube root of 137712726018816 is 51640.6093719203

Scales and comparisons

• 137,712,726,018,816 seconds is equal to 4,378,838 years, 37 weeks, 21 hours, 13 minutes, 36 seconds.
• To count from 1 to 137,712,726,018,816 would take you about ten million, nine hundred forty-seven thousand and 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 137712726018816 cubic inches would be around 4303.4 feet tall.

Recreational maths with 137712726018816

• 137712726018816 backwards is 618810627217731
• The number of decimal digits it has is: 15
• The sum of 137712726018816's digits is 60
• More coming soon!