137364432021992448

Names of 137364432021992448

• Cardinal: 137364432021992448 can be written as One hundred thirty-seven quadrillion, three hundred sixty-four trillion, four hundred thirty-two billion, twenty-one million, nine hundred ninety-two thousand, four hundred forty-eight.

Scientific notation

• Scientific notation: 1.37364432021992448 × 10¹⁷

Factors of 137364432021992448

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 3054409

Divisors of 137364432021992448

• Number of divisors d(n): 528
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 52 56 63 64 72 78 84 91 96 104 112 117 126 128 144 156 168 182 192 208 224 234 252 256 273 288 312 336 364 384 416 448 468 504 512 546 576 624 672 728 768 819 832 896 936 1008 1024 1092 1152 1248 1344 1456 1536 1638 1664 1792 1872 2016 2184 2304 2496 2688 2912 3072 3276 3328 3584 3744 4032 4368 4608 4992 5376 5824 6552 6656 7168 7488 8064 8736 9216 9984 10752 11648 13104 13312 14976 16128 17472 19968 21504 23296 26208 29952 32256 34944 39936 46592 52416 54601 59904 64512 69888 93184 104832 109202 119808 139776 163803 209664 218404 279552 327606 382207 419328 436808 491409 655212 709813 764414 838656 873616 982818 1146621 1310424 1419626 1528828 1747232 1965636 2129439 2293242 2620848 2839252 2999783 3057656 3439863 3494464 3931272 4258878 4586484 4968691 5241696 5678504 5999566 6115312 6388317 6879726 6988928 7862544 8517756 8999349 9172968 9937382 10483392 11357008 11999132 12230624 12776634 13759452 13977856 14906073 15725088 17035512 17998698 18345936 19874764 20966784 20998481 22714016 23998264 24461248 25553268 26998047 27518904 27955712 29812146 31450176 34071024 35997396 36691872 38997179 39749528 41933568 41996962 44718219 45428032 47996528 48922496 51106536 53996094 55037808 55911424 59624292 62900352 62995443 68142048 71994792 73383744 77994358 79499056 83867136 83993924 89436438 90856064 95993056 97844992 102213072 107992188 110075616 116991537 119248584 125800704 125990886 136284096 143989584 146767488 155988716 158998112 167734272 167987848 178872876 181712128 188986329 191986112 195689984 204426144 215984376 220151232 233983074 238497168 251601408 251981772 272568192 272980253 287979168 293534976 311977432 317996224 335975696 350974611 357745752 363424256 377972658 383972224 391379968 408852288 431968752 440302464 467966148 476994336 503202816 503963544 545136384 545960506 575958336 587069952 623954864 635992448 671951392 701949222 715491504 726848512 755945316 767944448 817704576 818940759 863937504 880604928 935932296 953988672 1007927088 1090272768 1091921012 1151916672 1174139904 1247909728 1271984896 1343902784 1403898444 1430983008 1511890632 1535888896 1635409152 1637881518 1727875008 1761209856 1871864592 1907977344 2015854176 2180545536 2183842024 2303833344 2456822277 2495819456 2543969792 2687805568 2807796888 2861966016 3023781264 3071777792 3270818304 3275763036 3455750016 3522419712 3743729184 3815954688 4031708352 4367684048 4607666688 4913644554 4991638912 5087939584 5375611136 5615593776 5723932032 6047562528 6541636608 6551526072 6911500032 7487458368 7631909376 8063416704 8735368096 9215333376 9827289108 9983277824 10751222272 11231187552 11447864064 12095125056 13103052144 13823000064 14974916736 15263818752 16126833408 17470736192 19654578216 19966555648 21502444544 22462375104 22895728128 24190250112 26206104288 27646000128 29949833472 32253666816 34941472384 39309156432 39933111296 44924750208 45791456256 48380500224 52412208576 59899666944 64507333632 69882944768 78618312864 89849500416 96761000448 104824417152 119799333888 139765889536 157236625728 163791151583 179699000832 193522000896 209648834304 279531779072 314473251456 327582303166 359398001664 419297668608 491373454749 628946502912 655164606332 838595337216 982746909498 1146538061081 1257893005824 1310329212664 1474120364247 1965493818996 2129284970579 2293076122162 2515786011648 2620658425328 2948240728494 3439614183243 3930987637992 4258569941158 4586152244324 5241316850656 5896481456988 6387854911737 6879228366486 7861975275984 8517139882316 9172304488648 10318842549729 10482633701312 11792962913976 12775709823474 13758456732972 14904994794053 15723950551968 17034279764632 18344608977296 19163564735211 20637685099458 20965267402624 23585925827952 25551419646948 27516913465944 29809989588106 31447901103936 34068559529264 36689217954592 38327129470422 41275370198916 41930534805248 44714984382159 47171851655904 51102839293896 55033826931888 59619979176212 62895802207872 68137119058528 73378435909184 76654258940844 82550740397832 83861069610496 89429968764318 94343703311808 102205678587792 110067653863776 119239958352424 125791604415744 134144953146477 136274238117056 146756871818368 153308517881688 165101480795664 167722139220992 178859937528636 188687406623616 204411357175584 220135307727552 238479916704848 251583208831488 268289906292954 272548476234112 293513743636736 306617035763376 330202961591328 357719875057272 377374813247232 408822714351168 440270615455104 476959833409696 503166417662976 536579812585908 545096952468224 587027487273472 613234071526752 660405923182656 715439750114544 754749626494464 817645428702336 880541230910208 953919666819392 1073159625171816 1090193904936448 1174054974546944 1226468143053504 1320811846365312 1430879500229088 1509499252988928 1635290857404672 1761082461820416 1907839333638784 2146319250343632 2180387809872896 2452936286107008 2641623692730624 2861759000458176 3270581714809344 3522164923640832 3815678667277568 4292638500687264 4905872572214016 5283247385461248 5723518000916352 6541163429618688 7631357334555136 8585277001374528 9811745144428032 10566494770922496 11447036001832704 15262714669110272 17170554002749056 19623490288856064 22894072003665408 34341108005498112 45788144007330816 68682216010996224 137364432021992448
• Sum of all divisors σ(n): 488177492881618176
• Sum of proper divisors (its aliquot sum) s(n): 350813060859625728
• 137364432021992448 is an abundant number, because the sum of its proper divisors (350813060859625728) is greater than itself. Its abundance is 213448628837633280

Bases of 137364432021992448

• Binary: 111101000000001000011100100011111011100011011010000000000₂
• Hexadecimal: 0x1E804391F71B400
• Base-36: 11KJMKWLCZK0

Squares and roots of 137364432021992448

• 137364432021992448 squared (137364432021992448²) is 18868987184724584256102739769032704
• 137364432021992448 cubed (137364432021992448³) is 2591927707459946812248417195590946761412111753019392
• The square root of 137364432021992448 is 370627079.4504800455
• The cube root of 137364432021992448 is 515970.3727029877

Scales and comparisons

• 137,364,432,021,992,448 seconds is equal to 4,367,764,042 years, 11 weeks, 15 hours, 40 minutes, 48 seconds.
• To count from 1 to 137,364,432,021,992,448 would take you about thirteen billion, one hundred three million, two hundred ninety-two thousand, one hundred twenty-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 137364432021992448 cubic inches would be around 42997.5 feet tall.

Recreational maths with 137364432021992448

• 137364432021992448 backwards is 844299120234463731
• 137364432021992448 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 137364432021992448's digits is 72
• More coming soon!