198199597400792668800

Names of 198199597400792668800

• Cardinal: 198199597400792668800 can be written as One hundred ninety-eight quintillion, one hundred ninety-nine quadrillion, five hundred ninety-seven trillion, four hundred billion, seven hundred ninety-two million, six hundred sixty-eight thousand, eight hundred.

Scientific notation

• Scientific notation: 1.981995974007926688 × 10²⁰

Factors of 198199597400792668800

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 983132923615060

Divisors of 198199597400792668800

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 32 35 36 40 42 45 48 50 56 60 63 64 70 72 75 80 84 90 96 100 105 112 120 126 128 140 144 150 160 168 175 180 192 200 210 224 225 240 252 280 288 300 315 320 336 350 360 384 400 420 448 450 480 504 525 560 576 600 630 640 672 700 720 800 840 896 900 960 1008 1050 1120 1152 1200 1260 1344 1400 1440 1575 1600 1680 1800 1920 2016 2100 2240 2400 2520 2688 2800 2880 3150 3200 3360 3600 4032 4200 4480 4800 5040 5600 5760 6300 6720 7200 8064 8400 9600 10080 11200 12600 13440 14400 16800 20160 22400 25200 28800 33600 40320 50400 67200 100800 201600 983132923615043 1966265847230086 2949398770845129 3932531694460172 4915664618075215 5898797541690258 6881930465305301 7865063388920344 8848196312535387 9831329236150430 11797595083380516 13763860930610602 14746993854225645 15730126777840688 17696392625070774 19662658472300860 20645791395915903 23595190166761032 24578323090376075 27527721861221204 29493987708451290 31460253555681376 34409652326526505 35392785250141548 39325316944601720 41291582791831806 44240981562676935 47190380333522064 49156646180752150 55055443722442408 58987975416902580 61937374187747709 62920507111362752 68819304653053010 70785570500283096 73734969271128225 78650633889203440 82583165583663612 88481963125353870 94380760667044128 98313292361504300 103228956979579515 110110887444884816 117975950833805160 123874748375495418 125841014222725504 137638609306106020 141571141000566192 147469938542256450 157301267778406880 165166331167327224 172048261632632525 176963926250707740 188761521334088256 196626584723008600 206457913959159030 220221774889769632 221204907813384675 235951901667610320 247749496750990836 275277218612212040 283142282001132384 294939877084512900 309686870938738545 314602535556813760 330332662334654448 344096523265265050 353927852501415480 377523042668176512 393253169446017200 412915827918318060 440443549779539264 442409815626769350 471903803335220640 495498993501981672 516144784897897575 550554437224424080 566284564002264768 589879754169025800 619373741877477090 629205071113627520 660665324669308896 688193046530530100 707855705002830960 786506338892034400 825831655836636120 880887099559078528 884819631253538700 943807606670441280 990997987003963344 1032289569795795150 1101108874448848160 1132569128004529536 1179759508338051600 1238747483754954180 1321330649338617792 1376386093061060200 1415711410005661920 1548434354693692725 1573012677784068800 1651663311673272240 1769639262507077400 1887615213340882560 1981995974007926688 2064579139591590300 2202217748897696320 2359519016676103200 2477494967509908360 2642661298677235584 2752772186122120400 2831422820011323840 3096868709387385450 3146025355568137600 3303326623346544480 3539278525014154800 3963991948015853376 4129158279183180600 4404435497795392640 4719038033352206400 4954989935019816720 5505544372244240800 5662845640022647680 6193737418774770900 6606653246693088960 7078557050028309600 7927983896031706752 8258316558366361200 9438076066704412800 9909979870039633440 11011088744488481600 12387474837549541800 13213306493386177920 14157114100056619200 16516633116732722400 19819959740079266880 22022177488976963200 24774949675099083600 28314228200113238400 33033266233465444800 39639919480158533760 49549899350198167200 66066532466930889600 99099798700396334400 198199597400792668800
• Sum of all divisors σ(n): 808253239162399973280
• Sum of proper divisors (its aliquot sum) s(n): 610053641761607304480
• 198199597400792668800 is an abundant number, because the sum of its proper divisors (610053641761607304480) is greater than itself. Its abundance is 411854044360814635680

Bases of 198199597400792668800

• Binary: 10101011111010010010011010111011101011000011101011101001101010000000₂
• Hexadecimal: 0xABE926BBAC3AE9A80
• Base-36: 15TTSLKFMYZDS0

Squares and roots of 198199597400792668800

• 198199597400792668800 squared (198199597400792668800²) is 39283080409836300034063710563826493440000
• 198199597400792668800 cubed (198199597400792668800³) is 7785890721892520138865802167844979243837916725963292672000000
• The square root of 198199597400792668800 is 14078337877.7749423923
• The cube root of 198199597400792668800 is 5830434.5251772047

Scales and comparisons

• 198,199,597,400,792,668,800 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 198,199,597,400,792,668,800 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 198199597400792668800 cubic inches would be around 485869.5 feet tall.

Recreational maths with 198199597400792668800

• 198199597400792668800 backwards is 008866297004795991891
• The number of decimal digits it has is: 21
• The sum of 198199597400792668800's digits is 108
• More coming soon!