98728958630518944

Names of 98728958630518944

• Cardinal: 98728958630518944 can be written as Ninety-eight quadrillion, seven hundred twenty-eight trillion, nine hundred fifty-eight billion, six hundred thirty million, five hundred eighteen thousand, nine hundred forty-four.

Scientific notation

• Scientific notation: 9.8728958630518944 × 10¹⁶

Factors of 98728958630518944

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 3842703984

Divisors of 98728958630518944

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 4 6 7 8 12 13 14 16 17 21 24 26 28 32 34 39 42 48 51 52 56 68 78 84 91 96 102 104 112 119 136 156 168 173 182 204 208 221 224 238 272 273 312 336 346 357 364 408 416 442 476 519 544 546 624 663 672 692 714 728 816 884 952 1038 1092 1211 1248 1326 1384 1428 1456 1547 1632 1768 1904 2076 2184 2249 2422 2652 2768 2856 2912 2941 3094 3536 3633 3808 4152 4368 4498 4641 4844 5304 5536 5712 5882 6188 6747 7072 7266 8304 8736 8823 8996 9282 9688 10608 11424 11764 12376 13494 14532 15743 16608 17646 17992 18564 19376 20587 21216 23528 24752 26988 29064 31486 35292 35984 37128 38233 38752 41174 47056 47229 49504 53976 58128 61761 62972 70584 71968 74256 76466 82348 94112 94458 107952 114699 116256 123522 125944 141168 148512 152932 164696 188916 215904 229398 247044 251888 267631 282336 305864 329392 377832 458796 494088 503776 535262 611728 658784 755664 802893 917592 988176 1070524 1223456 1511328 1605786 1835184 1976352 2141048 3211572 3670368 4282096 6423144 8564192 12846288 25692576 3842703769 7685407538 11528111307 15370815076 23056222614 26898926383 30741630152 46112445228 49955148997 53797852766 61483260304 65325964073 80696779149 92224890456 99910297994 107595705532 122966520608 130651928146 149865446991 161393558298 184449780912 195977892219 199820595988 215191411064 261303856292 299730893982 322787116596 349686042979 368899561824 391955784438 399641191976 430382822128 457281748511 522607712584 599461787964 645574233192 664787752037 699372085958 783911568876 799282383952 849237532949 860765644256 914563497022 1045215425168 1049058128937 1198923575928 1291148466384 1329575504074 1371845245533 1398744171916 1567823137752 1598564767904 1698475065898 1829126994044 1994363256111 2090430850336 2098116257874 2397847151856 2547712598847 2582296932768 2659151008148 2743690491066 2797488343832 3135646275504 3396950131796 3658253988088 3988726512222 4196232515748 4653514264259 4795694303712 5095425197694 5318302016296 5487380982132 5594976687664 5944662730643 6271292551008 6793900263592 7316507976176 7977453024444 8392465031496 8642240776481 9307028528518 10190850395388 10636604032592 10974761964264 11189953375328 11301391784629 11889325461286 13587800527184 13960542792777 14633015952352 15954906048888 16784930062992 17284481552962 17833988191929 18614057057036 20381700790776 21273208065184 21949523928528 22602783569258 23778650922572 25926722329443 27175601054368 27921085585554 31909812097776 33569860125984 33904175353887 34568963105924 35667976383858 37228114114072 40763401581552 43899047857056 45205567138516 47557301845144 51853444658886 55842171171108 60495685435367 63819624195552 67808350707774 69137926211848 71335952767716 74456228228144 79109742492403 81526803163104 90411134277032 95114603690288 103706889317772 111684342342216 120991370870734 135616701415548 138275852423696 142671905535432 146918093200177 148912456456288 158219484984806 180822268554064 181487056306101 190229207380576 207413778635544 223368684684432 237329227477209 241982741741468 271233402831096 276551704847392 285343811070864 293836186400354 316438969969612 361644537108128 362974112612202 414827557271088 440754279600531 446737369368864 474658454954418 483965483482936 542466805662192 570687622141728 587672372800708 632877939939224 725948225224404 829655114542176 881508559201062 949316909908836 967930966965872 1028426652401239 1084933611324384 1175344745601416 1265755879878448 1451896450448808 1763017118402124 1898633819817672 1935861933931744 2056853304802478 2350689491202832 2531511759756896 2903792900897616 3085279957203717 3526034236804248 3797267639635344 4113706609604956 4701378982405664 5807585801795232 6170559914407434 7052068473608496 7594535279270688 8227413219209912 12341119828814868 14104136947216992 16454826438419824 24682239657629736 32909652876839648 49364479315259472 98728958630518944
• Sum of all divisors σ(n): 339685667812431360
• Sum of proper divisors (its aliquot sum) s(n): 240956709181912416
• 98728958630518944 is an abundant number, because the sum of its proper divisors (240956709181912416) is greater than itself. Its abundance is 142227750551393472

Bases of 98728958630518944

• Binary: 101011110110000010111011011111100001101110110000010100000₂
• Hexadecimal: 0x15EC176FC3760A0
• Base-36: R04HTGEFTEO

Squares and roots of 98728958630518944

• 98728958630518944 squared (98728958630518944²) is 9747407272266721078314842742875136
• 98728958630518944 cubed (98728958630518944³) is 962351369338440610186194280579540047151982274576384
• The square root of 98728958630518944 is 314211646.2362891857
• The cube root of 98728958630518944 is 462183.9416578149

Scales and comparisons

• 98,728,958,630,518,944 seconds is equal to 3,139,275,495 years, 37 weeks, 6 days, 19 hours, 42 minutes, 24 seconds.
• To count from 1 to 98,728,958,630,518,944 would take you about nine billion, four hundred seventeen million, eight hundred twenty-six thousand, four hundred eighty-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 98728958630518944 cubic inches would be around 38515.3 feet tall.

Recreational maths with 98728958630518944

• 98728958630518944 backwards is 44981503685982789
• 98728958630518944 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 98728958630518944's digits is 96
• More coming soon!