342129712888097198400

Names of 342129712888097198400

• Cardinal: 342129712888097198400 can be written as Three hundred forty-two quintillion, one hundred twenty-nine quadrillion, seven hundred twelve trillion, eight hundred eighty-eight billion, ninety-seven million, one hundred ninety-eight thousand, four hundred.

Scientific notation

• Scientific notation: 3.421297128880971984 × 10²⁰

Factors of 342129712888097198400

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 100908054

Divisors of 342129712888097198400

• Number of divisors d(n): 252
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 50 56 60 64 70 75 80 84 96 100 105 112 120 140 150 160 168 175 192 200 210 224 240 280 300 320 336 350 400 420 448 480 525 560 600 672 700 800 840 960 1050 1120 1200 1344 1400 1600 1680 2100 2240 2400 2800 3360 4200 4800 5600 6720 8400 11200 16800 33600 100908037 201816074 302724111 403632148 504540185 605448222 706356259 807264296 1009080370 1210896444 1412712518 1513620555 1614528592 2018160740 2119068777 2421792888 2522700925 2825425036 3027241110 3229057184 3531781295 4036321480 4238137554 4843585776 5045401850 5650850072 6054482220 6458114368 7063562590 7568102775 8072642960 8476275108 9687171552 10090803700 10595343885 11301700144 12108964440 14127125180 15136205550 16145285920 16952550216 17658906475 19374343104 20181607400 21190687770 22603400288 24217928880 28254250360 30272411100 32290571840 33905100432 35317812950 40363214800 42381375540 45206800576 48435857760 52976719425 56508500720 60544822200 67810200864 70635625900 80726429600 84762751080 96871715520 105953438850 113017001440 121089644400 135620401728 141271251800 161452859200 169525502160 211906877700 226034002880 242179288800 282542503600 339051004320 423813755400 484358577600 565085007200 678102008640 847627510800 1130170014400 1695255021600 3390510043200 10182431931193369 20364863862386738 30547295793580107 40729727724773476 50912159655966845 61094591587160214 71277023518353583 81459455449546952 101824319311933690 122189183174320428 142554047036707166 152736478967900535 162918910899093904 203648638623867380 213831070555060749 244378366348640856 254560798279834225 285108094073414332 305472957935801070 325837821798187808 356385117591767915 407297277247734760 427662141110121498 488756732697281712 509121596559668450 570216188146828664 610945915871602140 651675643596375616 712770235183535830 763682394839502675 814594554495469520 855324282220242996 977513465394563424 1018243193119336900 1069155352775303745 1140432376293657328 1221891831743204280 1425540470367071660 1527364789679005350 1629189108990939040 1710648564440485992 1781925587958839575 1955026930789126848 2036486386238673800 2138310705550607490 2280864752587314656 2443783663486408560 2851080940734143320 3054729579358010700 3258378217981878080 3421297128880971984 3563851175917679150 4072972772477347600 4276621411101214980 4561729505174629312 4887567326972817120 5345776763876518725 5702161881468286640 6109459158716021400 6842594257761943968 7127702351835358300 8145945544954695200 8553242822202429960 9775134653945634240 10691553527753037450 11404323762936573280 12218918317432042800 13685188515523887936 14255404703670716600 16291891089909390400 17106485644404859920 21383107055506074900 22808647525873146560 24437836634864085600 28510809407341433200 34212971288809719840 42766214111012149800 48875673269728171200 57021618814682866400 68425942577619439680 85532428222024299600 114043237629365732800 171064856444048599200 342129712888097198400
• Sum of all divisors σ(n): 1282823517132263659488
• Sum of proper divisors (its aliquot sum) s(n): 940693804244166461088
• 342129712888097198400 is an abundant number, because the sum of its proper divisors (940693804244166461088) is greater than itself. Its abundance is 598564091356069262688

Bases of 342129712888097198400

• Binary: 100101000110000000000111010010011000011011001011010101101000101000000₂
• Hexadecimal: 0x128C00E930D96AD140
• Base-36: 207CA5CPE72N9C

Squares and roots of 342129712888097198400

• 342129712888097198400 squared (342129712888097198400²) is 117052740440891822221914355405928962560000
• 342129712888097198400 cubed (342129712888097198400³) is 40047220479807283010537166616449121173858989118954491904000000
• The square root of 342129712888097198400 is 18496748711.2761846701
• The cube root of 342129712888097198400 is 6994074.6652701251

Scales and comparisons

• 342,129,712,888,097,198,400 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 342,129,712,888,097,198,400 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 342129712888097198400 cubic inches would be around 582839.6 feet tall.

Recreational maths with 342129712888097198400

• 342129712888097198400 backwards is 004891790888217921243
• The number of decimal digits it has is: 21
• The sum of 342129712888097198400's digits is 93
• More coming soon!