418948998344998912

Names of 418948998344998912

• Cardinal: 418948998344998912 can be written as Four hundred eighteen quadrillion, nine hundred forty-eight trillion, nine hundred ninety-eight billion, three hundred forty-four million, nine hundred ninety-eight thousand, nine hundred twelve.

Scientific notation

• Scientific notation: 4.18948998344998912 × 10¹⁷

Factors of 418948998344998912

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 23
• Sum of prime factors: 4751

Divisors of 418948998344998912

• Number of divisors d(n): 342
• Complete list of divisors:
  1 2 4 7 8 14 16 28 32 56 64 103 112 128 206 224 256 412 448 512 721 824 896 1024 1442 1648 1792 2048 2884 3296 3584 4096 4639 5768 6592 7168 8192 9278 10609 11536 13184 14336 16384 18556 21218 23072 26368 28672 32473 32768 37112 42436 46144 52736 57344 64946 65536 74224 74263 84872 92288 105472 114688 129892 131072 148448 148526 169744 184576 210944 229376 259784 262144 296896 297052 339488 369152 421888 458752 477817 519568 593792 594104 678976 738304 843776 917504 955634 1039136 1187584 1188208 1357952 1476608 1687552 1835008 1911268 2078272 2375168 2376416 2715904 2953216 3344719 3375104 3822536 4156544 4750336 4752832 5431808 5906432 6689438 6750208 7645072 8313088 9500672 9505664 10863616 11812864 13378876 13500416 15290144 16626176 19001344 19011328 21520321 21727232 23625728 26757752 27000832 30580288 33252352 38002688 38022656 43040642 43454464 47251456 49215151 53515504 61160576 66504704 76005376 76045312 86081284 86908928 94502912 98430302 107031008 122321152 133009408 150642247 152010752 152090624 172162568 173817856 189005824 196860604 214062016 244642304 266018816 301284494 304021504 304181248 344325136 344506057 347635712 393721208 428124032 489284608 532037632 602568988 608043008 608362496 688650272 689012114 695271424 787442416 856248064 978569216 1064075264 1205137976 1216086016 1216724992 1377300544 1378024228 1390542848 1574884832 1712496128 1957138432 2128150528 2216593063 2410275952 2433449984 2754601088 2756048456 2781085696 3149769664 3424992256 3914276864 4256301056 4433186126 4820551904 4866899968 5509202176 5512096912 6299539328 6849984512 7828553728 8512602112 8866372252 9641103808 9733799936 11018404352 11024193824 12599078656 13699969024 15516151441 15657107456 17732744504 19282207616 19467599872 22036808704 22048387648 25198157312 27399938048 31032302882 31314214912 35465489008 38564415232 44073617408 44096775296 50396314624 54799876096 62064605764 62628429824 70930978016 77128830464 88147234816 88193550592 100792629248 109599752192 124129211528 125256859648 141861956032 154257660928 176294469632 176387101184 201585258496 219199504384 228309085489 248258423056 283723912064 308515321856 352588939264 352774202368 403170516992 438399008768 456618170978 496516846112 567447824128 617030643712 705177878528 705548404736 806341033984 876798017536 913236341956 993033692224 1134895648256 1234061287424 1410355757056 1411096809472 1598163598423 1612682067968 1826472683912 1986067384448 2269791296512 2468122574848 2820711514112 2822193618944 3196327196846 3225364135936 3652945367824 3972134768896 4539582593024 4936245149696 5641423028224 5644387237888 6392654393692 6450728271872 7305890735648 7944269537792 9079165186048 9872490299392 11288774475776 12785308787384 12901456543744 14611781471296 15888539075584 18158330372096 19744980598784 22577548951552 25570617574768 29223562942592 31777078151168 36316660744192 39489961197568 45155097903104 51141235149536 58447125885184 63554156302336 72633321488384 90310195806208 102282470299072 116894251770368 127108312604672 145266642976768 204564940598144 233788503540736 254216625209344 290533285953536 409129881196288 467577007081472 508433250418688 581066571907072 818259762392576 935154014162944 1016866500837376 1636519524785152 1870308028325888 2033733001674752 3273039049570304 3740616056651776 4067466003349504 6546078099140608 7481232113303552 13092156198281216 14962464226607104 26184312396562432 29924928453214208 52368624793124864 59849856906428416 104737249586249728 209474499172499456 418948998344998912
• Sum of all divisors σ(n): 967191685451971128
• Sum of proper divisors (its aliquot sum) s(n): 548242687106972216
• 418948998344998912 is an abundant number, because the sum of its proper divisors (548242687106972216) is greater than itself. Its abundance is 129293688761973304

Bases of 418948998344998912

• Binary: 10111010000011001111110010011110001010111000000000000000000₂
• Hexadecimal: 0x5D067E4F15C0000
• Base-36: 36L50WV40VLS

Squares and roots of 418948998344998912

• 418948998344998912 squared (418948998344998912²) is 175518263214277901106004601281183744
• 418948998344998912 cubed (418948998344998912³) is 73533200564875595806959218237356629911690709752086528
• The square root of 418948998344998912 is 647262696.5498621349
• The cube root of 418948998344998912 is 748262.0489054335

Scales and comparisons

• 418,948,998,344,998,912 seconds is equal to 13,321,282,253 years, 1 week, 5 days, 3 hours, 41 minutes, 52 seconds.
• To count from 1 to 418,948,998,344,998,912 would take you about thirty-nine billion, nine hundred sixty-three million, eight hundred forty-six thousand, seven hundred fifty-nine 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 418948998344998912 cubic inches would be around 62355.2 feet tall.

Recreational maths with 418948998344998912

• 418948998344998912 backwards is 219899443899849814
• The number of decimal digits it has is: 18
• The sum of 418948998344998912's digits is 109
• More coming soon!