420648114019649670

Names of 420648114019649670

• Cardinal: 420648114019649670 can be written as Four hundred twenty quadrillion, six hundred forty-eight trillion, one hundred fourteen billion, nineteen million, six hundred forty-nine thousand, six hundred seventy.

Scientific notation

• Scientific notation: 4.2064811401964967 × 10¹⁷

Factors of 420648114019649670

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 3194

Divisors of 420648114019649670

• Number of divisors d(n): 648
• Complete list of divisors:
  1 2 3 5 6 7 9 10 11 14 15 18 21 22 30 33 35 42 45 55 63 66 70 77 90 99 105 110 121 126 154 165 198 210 231 242 315 330 363 385 462 495 605 630 693 726 770 847 990 1089 1155 1187 1210 1386 1694 1815 1979 2178 2310 2374 2541 3465 3561 3630 3958 4235 5082 5445 5935 5937 6930 7122 7623 8309 8470 9895 10683 10890 11870 11874 12705 13057 13853 15246 16618 17805 17811 19790 21366 21769 24927 25410 26114 27706 29685 35610 35622 38115 39171 41545 41559 43538 49854 53415 59370 65285 65307 69265 74781 76230 78342 83090 83118 89055 91399 106830 108845 117513 124635 124677 130570 130614 138530 143627 149562 152383 178110 182798 195855 195921 207795 217690 235026 239459 249270 249354 274197 287254 304766 326535 373905 391710 391842 415590 430881 456995 457149 478918 548394 587565 623385 653070 718135 718377 747810 761915 822591 861762 913990 914298 979605 1005389 1175130 1197295 1246770 1292643 1370985 1371447 1408969 1436270 1436754 1523830 1645182 1676213 1959210 2010778 2154405 2155131 2285745 2349073 2394590 2585286 2741970 2742894 2817938 3016167 3352426 3591885 3916441 4112955 4226907 4308810 4310262 4571490 4698146 5026945 5028639 6032334 6463215 6857235 7044845 7047219 7183770 7832882 8225910 8381065 8453814 9048501 9862783 10053890 10057278 10775655 11745365 11749323 12680721 12926430 13714470 14089690 14094438 15080835 15085917 15498659 16443511 16762130 18097002 19582205 19725566 21134535 21141657 21551310 23490730 23498646 25143195 25361442 25839803 27415087 29588349 30161670 30171834 30997318 32887022 35236095 35247969 39164410 42269070 42283314 43080851 45242505 46495977 49313915 49330533 50286390 51679606 54830174 58746615 59176698 63403605 70472190 70495938 75429585 77493295 77519409 82217555 82245261 86161702 88765047 90485010 92991954 98627830 98661066 105708285 108490613 117493230 126807210 129199015 129242553 137075435 139487931 147941745 147991599 150859170 154986590 155038818 164435110 164490522 170485249 176239845 177530094 180878621 211416570 215404255 216981226 232479885 232558227 246652665 246735783 258398030 258485106 274150870 278975862 284237833 295883490 295983198 301565957 325471839 340970498 352479690 361757242 387597045 387727659 411226305 430808510 443825235 464959770 465116454 473889361 493305330 493471566 511455747 542453065 542635863 568475666 603131914 646212765 650943678 697439655 739957995 775194090 775455318 822452610 852426245 852713499 887650470 904393105 904697871 947778722 976415517 1022911494 1084906130 1085271726 1162791135 1193396743 1233678915 1292425530 1394879310 1421189165 1421668083 1479915990 1507829785 1534367241 1627359195 1627907589 1704852490 1705426998 1808786210 1809395742 1938638295 1952831034 1989664831 2325582270 2369446805 2386793486 2467357830 2557278735 2558140497 2713179315 2714093613 2788349651 2842378330 2843336166 3015659570 3068734482 3254718390 3255815178 3317225527 3580190229 3877276590 3979329662 4263567495 4265004249 4523489355 4648815467 4738893610 4882077585 5114557470 5116280994 5426358630 5428187226 5576699302 5966983715 5968994493 6634451054 7108340415 7160380458 7671836205 8139537945 8365048953 8527134990 8530008498 9046978710 9297630934 9764155170 9948324155 9951676581 10740570687 11933967430 11937988986 12790702485 13570468065 13941748255 13946446401 14216680830 15343672410 16279075890 16586127635 16730097906 17900951145 17906983479 19518447557 19896648310 19903353162 21325021245 21481141374 23244077335 25095146859 25581404970 27140936130 27883496510 27892892802 29844972465 29855029743 30671846161 32541708269 33172255270 35801902290 35813966958 39036895114 41825244765 41839339203 42650042490 46488154670 49758382905 50190293718 51136970137 53702853435 58555342671 59689944930 59710059486 61343692322 65083416538 69732232005 83650489530 83678678406 89534917395 92015538483 97592237785 97625124807 99516765810 102273940274 107405706870 117110685342 125475734295 139464464010 149275148715 153359230805 153410910411 162708541345 175666028013 179069834790 184031076966 195184475570 195250249614 209196696015 214702923127 250951468590 255684850685 276046615449 292776713355 292875374421 298550297430 306718461610 306821820822 325417082690 337390307771 351332056026 357958790959 418393392030 429405846254 460077692415 460232731233 488125624035 511369701370 552093230898 562506671507 585553426710 585750748842 644108769381 674780615542 715917581918 767054552055 878330140065 920155384830 920465462466 976251248070 1012170923313 1073514615635 1073876372877 1125013343014 1288217538762 1380233077245 1464376872105 1534109104110 1686951538855 1687520014521 1756660280130 1789793954795 1932326308143 2024341846626 2147029231270 2147752745754 2301163656165 2361732154397 2760466154490 2812533357535 2928753744210 3036512769939 3220543846905 3221629118631 3373903077710 3375040029042 3579587909590 3864652616286 3937546700549 4602327312330 4723464308794 5060854616565 5062560043563 5369381864385 5518143959329 5625066715070 6073025539878 6441087693810 6443258237262 7085196463191 7875093401098 8437600072605 9661631540715 10121709233130 10125120087126 10738763728770 11036287918658 11808660771985 11812640101647 14170392926382 15182563849695 16108145593155 16554431877987 16875200145210 19323263081430 19687733502745 21255589389573 23617321543970 23625280203294 25312800217815 27590719796645 30365127699390 32216291186310 33108863755974 35425982315955 35437920304941 38627007715303 39375467005490 42511178779146 49663295633961 50625600435630 55181439593290 59063200508235 60699583552619 70851964631910 70875840609882 77254015430606 82772159389935 99326591267922 106277946947865 115881023145909 118126401016470 121399167105238 165544318779870 177189601524705 182098750657857 193135038576515 212555893895730 231762046291818 248316478169805 303497917763095 347643069437727 354379203049410 364197501315714 386270077153030 424897084868333 496632956339610 546296251973571 579405115729545 606995835526190 667695419078809 695286138875454 849794169736666 910493753289285 1092592503947142 1158810231459090 1274691254604999 1335390838157618 1738215347188635 1820987506578570 2003086257236427 2124485424341665 2549382509209998 2731481259867855 3338477095394045 3476430694377270 3824073763814997 4006172514472854 4248970848683330 4673867933551663 5462962519735710 6009258771709281 6373456273024995 6676954190788090 7648147527629994 9347735867103326 10015431286182135 12018517543418562 12746912546049990 14021603800654989 19120368819074985 20030862572364270 23369339667758315 28043207601309978 30046293858546405 38240737638149970 42064811401964967 46738679335516630 60092587717092810 70108019003274945 84129622803929934 140216038006549890 210324057009824835 420648114019649670
• Sum of all divisors σ(n): 1375738997590902672
• Sum of proper divisors (its aliquot sum) s(n): 955090883571253002
• 420648114019649670 is an abundant number, because the sum of its proper divisors (955090883571253002) is greater than itself. Its abundance is 534442769551603332

Bases of 420648114019649670

• Binary: 10111010110011100010011101100100011100101000100100010000110₂
• Hexadecimal: 0x5D6713B23944886
• Base-36: 371VB7TUUETI

Squares and roots of 420648114019649670

• 420648114019649670 squared (420648114019649670²) is 176944835828288189252830869531108900
• 420648114019649670 cubed (420648114019649670³) is 74431511476685962289908414012956696265713944619063000
• The square root of 420648114019649670 is 648573907.9084585485
• The cube root of 420648114019649670 is 749272.2505254283

Scales and comparisons

• 420,648,114,019,649,670 seconds is equal to 13,375,308,875 years, 40 weeks, 2 days, 23 hours, 34 minutes, 30 seconds.
• To count from 1 to 420,648,114,019,649,670 would take you about forty billion, one hundred twenty-five million, nine hundred twenty-six thousand, six hundred twenty-seven 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 420648114019649670 cubic inches would be around 62439.4 feet tall.

Recreational maths with 420648114019649670

• 420648114019649670 backwards is 076946910411846024
• The number of decimal digits it has is: 18
• The sum of 420648114019649670's digits is 72
• More coming soon!