420146494262456013

Names of 420146494262456013

• Cardinal: 420146494262456013 can be written as Four hundred twenty quadrillion, one hundred forty-six trillion, four hundred ninety-four billion, two hundred sixty-two million, four hundred fifty-six thousand and thirteen.

Scientific notation

• Scientific notation: 4.20146494262456013 × 10¹⁷

Factors of 420146494262456013

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 148

Divisors of 420146494262456013

• Number of divisors d(n): 300
• Complete list of divisors:
  1 3 9 13 19 39 57 113 117 169 171 247 339 361 507 741 1017 1083 1469 1521 2147 2197 2223 3211 3249 4407 4693 6441 6591 6859 9633 12769 13221 14079 19097 19323 19773 20577 27911 28899 38307 40793 41743 42237 57291 61009 61731 83733 89167 114921 122379 125229 130321 165997 171873 183027 242611 248261 251199 267501 362843 367137 375687 390963 497991 530309 549081 727833 744783 775067 793117 802503 1088529 1159171 1172889 1442897 1493973 1590927 1694173 2157961 2183499 2234349 2325201 2379351 3153943 3265587 3477513 4328691 4609609 4716959 4772781 5082519 6473883 6894017 6975603 7138053 9461829 10075871 10432539 12986073 13828827 14150877 14726273 15069223 15247557 18757661 19421649 20682051 22024249 27415043 28053493 28385487 30227613 41001259 41486481 42452631 44178819 45207669 56272983 59924917 62046153 66072747 82245129 84160479 87582571 89622221 90682839 123003777 130986323 132536457 135623007 163047361 168818949 179774751 191441549 198218241 243849593 246735387 252481437 262747713 268866663 286315237 356395559 369011331 392958969 489142083 520885817 533016367 539324253 574324647 731548779 779023921 788243139 806599989 858945711 1069186677 1138573423 1178876907 1467426249 1562657451 1599049101 1664068849 1702822199 1722973941 2119615693 2194646337 2337071763 2488740137 2576837133 3097899859 3170044709 3207560031 3415720269 4633142267 4687972353 4797147303 4992206547 5108466597 6358847079 6771515621 7011215289 7466220411 9293699577 9510134127 9896830523 10127310973 10247160807 13899426801 14801454499 14976619641 15325399791 19076541237 20314546863 21632895037 22398661233 27555004009 27881098731 28530402381 29690491569 30381932919 32353621781 40272698167 41698280403 44404363497 58860097321 60230849471 60943640589 64898685111 82665012027 88029703073 89071474707 91145798757 97060865343 120818094501 128658796799 133213090491 176580291963 180692548413 188039779937 192418908487 194696055333 247995036081 264089109219 281227635481 291182596029 358215052117 362454283503 385976390397 523545076171 529740875889 542077645239 564119339811 577256725461 765181265173 792267327657 843682906443 1074645156351 1118341849099 1144386139949 1157929171191 1570635228513 1672564358387 1692358019433 1731770176383 2295543795519 2444517139181 2531048719329 3223935469053 3355025547297 3433158419847 3655959261253 4711905685539 5017693075161 6806085990223 6886631386557 7333551417543 9947356447249 10065076641891 10299475259541 10967877783759 14538444038287 15053079225483 20418257970669 21248495132881 21743336659031 22000654252629 29842069341747 31778722809353 32903633351277 43615332114861 61254773912007 63745485398643 65230009977093 89526208025241 95336168428059 129315633814237 130845996344583 188999772497731 191236456195929 195690029931279 276230436727453 286008505284177 387946901442711 413123396521589 566999317493193 828691310182359 1163840704328133 1239370189564767 1700997952479579 2456997042470503 2486073930547077 3590995677456889 3718110568694301 7370991127411509 10772987032370667 22112973382234527 32318961097112001 46682943806939557 140048831420818671 420146494262456013
• Sum of all divisors σ(n): 700147960957384940
• Sum of proper divisors (its aliquot sum) s(n): 280001466694928927
• 420146494262456013 is a deficient number, because the sum of its proper divisors (280001466694928927) is less than itself. Its deficiency is 140145027567527086

Bases of 420146494262456013

• Binary: 10111010100101010010000001010110000001000111010111011001101₂
• Hexadecimal: 0x5D4A902B023AECD
• Base-36: 36WXI2W6ULL9

Squares and roots of 420146494262456013

• 420146494262456013 squared (420146494262456013²) is 176523076641031983451220002759856169
• 420146494262456013 cubed (420146494262456013³) is 74165551807152427286594790764313075259822332569194197
• The square root of 420146494262456013 is 648187082.7642710847
• The cube root of 420146494262456013 is 748974.2981908785

Scales and comparisons

• 420,146,494,262,456,013 seconds is equal to 13,359,358,919 years, 5 weeks, 5 days, 4 hours, 53 minutes, 33 seconds.
• To count from 1 to 420,146,494,262,456,013 would take you about forty billion, seventy-eight million, seventy-six thousand, seven hundred fifty-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 420146494262456013 cubic inches would be around 62414.5 feet tall.

Recreational maths with 420146494262456013

• 420146494262456013 backwards is 310654262494641024
• The number of decimal digits it has is: 18
• The sum of 420146494262456013's digits is 63
• More coming soon!