428091299315080128

Names of 428091299315080128

• Cardinal: 428091299315080128 can be written as Four hundred twenty-eight quadrillion, ninety-one trillion, two hundred ninety-nine billion, three hundred fifteen million, eighty thousand, one hundred twenty-eight.

Scientific notation

• Scientific notation: 4.28091299315080128 × 10¹⁷

Factors of 428091299315080128

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 480422793391

Divisors of 428091299315080128

• Number of divisors d(n): 336
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 13 14 16 17 18 21 24 26 28 32 34 36 39 42 48 51 52 56 63 64 68 72 78 84 91 96 102 104 112 117 119 126 136 144 153 156 168 182 192 204 208 221 224 234 238 252 272 273 288 306 312 336 357 364 408 416 442 448 468 476 504 544 546 576 612 624 663 672 714 728 816 819 832 884 936 952 1008 1071 1088 1092 1224 1248 1326 1344 1428 1456 1547 1632 1638 1768 1872 1904 1989 2016 2142 2184 2448 2496 2652 2856 2912 3094 3264 3276 3536 3744 3808 3978 4032 4284 4368 4641 4896 5304 5712 5824 6188 6552 7072 7488 7616 7956 8568 8736 9282 9792 10608 11424 12376 13104 13923 14144 15912 17136 17472 18564 21216 22848 24752 26208 27846 31824 34272 37128 42432 49504 52416 55692 63648 68544 74256 99008 111384 127296 148512 222768 297024 445536 891072 480422793349 960845586698 1441268380047 1921691173396 2882536760094 3362959553443 3843382346792 4323805140141 5765073520188 6245496313537 6725919106886 7686764693584 8167187486933 8647610280282 10088878660329 11530147040376 12490992627074 13451838213772 15373529387168 16334374973866 17295220560564 18736488940611 20177757320658 23060294080752 24501562460799 24981985254148 26903676427544 30266635980987 30747058774336 32668749947732 34590441121128 37472977881222 40355514641316 43718474194759 46120588161504 49003124921598 49963970508296 53807352855088 56209466821833 57170312408531 60533271961974 65337499895464 69180882242256 73504687382397 74945955762444 80711029282632 87436948389518 92241176323008 98006249843196 99927941016592 106173437330129 107614705710176 112418933643666 114340624817062 121066543923948 130674999790928 131155422584277 138361764484512 147009374764794 149891911524888 161422058565264 171510937225593 174873896779036 196012499686392 199855882033184 212346874660258 215229411420352 224837867287332 228681249634124 242133087847896 261349999581856 262310845168554 276723528969024 294018749529588 299783823049776 318520311990387 322844117130528 343021874451186 349747793558072 392024999372784 393466267752831 399711764066368 424693749320516 449675734574664 457362499268248 484266175695792 514532811676779 522699999163712 524621690337108 588037499059176 599567646099552 637040623980774 645688234261056 686043748902372 699495587116144 743214061310903 784049998745568 786932535505662 849387498641032 899351469149328 914724998536496 955560935971161 968532351391584 1029065623353558 1049243380674216 1176074998118352 1199135292199104 1274081247961548 1372087497804744 1398991174232288 1486428122621806 1568099997491136 1573865071011324 1698774997282064 1798702938298656 1829449997072992 1911121871942322 1937064702783168 2058131246707116 2098486761348432 2229642183932709 2352149996236704 2548162495923096 2744174995609488 2797982348464576 2972856245243612 3147730142022648 3397549994564128 3597405876597312 3658899994145984 3822243743884644 4116262493414232 4196973522696864 4459284367865418 4704299992473408 5096324991846192 5488349991218976 5945712490487224 6295460284045296 6688926551798127 6795099989128256 7644487487769288 8232524986828464 8393947045393728 8918568735730836 10192649983692384 10976699982437952 11891424980974448 12590920568090592 13377853103596254 15288974975538576 16465049973656928 17837137471461672 20385299967384768 23782849961948896 25181841136181184 26755706207192508 30577949951077152 32930099947313856 35674274942923344 47565699923897792 53511412414385016 61155899902154304 71348549885846688 107022824828770032 142697099771693376 214045649657540064 428091299315080128
• Sum of all divisors σ(n): 1599046912150833600
• Sum of proper divisors (its aliquot sum) s(n): 1170955612835753472
• 428091299315080128 is an abundant number, because the sum of its proper divisors (1170955612835753472) is greater than itself. Its abundance is 742864313520673344

Bases of 428091299315080128

• Binary: 10111110000111000101100010011000011000111000101101111000000₂
• Hexadecimal: 0x5F0E2C4C31C5BC0
• Base-36: 3935P7Y6E7K0

Squares and roots of 428091299315080128

• 428091299315080128 squared (428091299315080128²) is 183262160549273523668488031060496384
• 428091299315080128 cubed (428091299315080128³) is 78452936424827321256971938727118483004371992414257152
• The square root of 428091299315080128 is 654286863.1686564193
• The cube root of 428091299315080128 is 753665.7864158071

Scales and comparisons

• 428,091,299,315,080,128 seconds is equal to 13,611,979,144 years, 46 weeks, 1 day, 8 hours, 28 minutes, 48 seconds.
• To count from 1 to 428,091,299,315,080,128 would take you about forty billion, eight hundred thirty-five million, nine hundred thirty-seven thousand, four hundred thirty-four 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 428091299315080128 cubic inches would be around 62805.5 feet tall.

Recreational maths with 428091299315080128

• 428091299315080128 backwards is 821080513992190824
• 428091299315080128 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 428091299315080128's digits is 72
• More coming soon!