813826914066432

Names of 813826914066432

• Cardinal: 813826914066432 can be written as Eight hundred thirteen trillion, eight hundred twenty-six billion, nine hundred fourteen million, sixty-six thousand, four hundred thirty-two.

Scientific notation

• Scientific notation: 8.13826914066432 × 10¹⁴

Factors of 813826914066432

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 21
• Sum of prime factors: 5015

Divisors of 813826914066432

• Number of divisors d(n): 630
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 64 72 81 84 96 98 108 112 126 128 144 147 162 168 189 192 196 216 224 252 256 288 294 324 336 378 384 392 432 441 448 504 512 567 576 588 648 672 756 768 784 864 882 896 1008 1024 1134 1152 1176 1296 1323 1344 1512 1536 1568 1728 1764 1792 2016 2048 2268 2304 2352 2592 2646 2688 3024 3072 3136 3456 3528 3584 3969 4032 4096 4536 4608 4704 5003 5184 5292 5376 6048 6144 6272 6912 7056 7168 7938 8064 8192 9072 9216 9408 10006 10368 10584 10752 12096 12288 12544 13824 14112 14336 15009 15876 16128 18144 18432 18816 20012 20736 21168 21504 24192 24576 25088 27648 28224 28672 30018 31752 32256 35021 36288 36864 37632 40024 41472 42336 43008 45027 48384 50176 55296 56448 57344 60036 63504 64512 70042 72576 73728 75264 80048 82944 84672 86016 90054 96768 100352 105063 110592 112896 120072 127008 129024 135081 140084 145152 150528 160096 165888 169344 172032 180108 193536 200704 210126 221184 225792 240144 245147 254016 258048 270162 280168 290304 301056 315189 320192 331776 338688 360216 387072 401408 405243 420252 451584 480288 490294 508032 516096 540324 560336 580608 602112 630378 640384 663552 677376 720432 735441 774144 810486 840504 903168 945567 960576 980588 1016064 1080648 1120672 1161216 1204224 1260756 1280768 1354752 1440864 1470882 1548288 1620972 1681008 1806336 1891134 1921152 1961176 2032128 2161296 2206323 2241344 2322432 2521512 2561536 2709504 2836701 2881728 2941764 3241944 3362016 3612672 3782268 3842304 3922352 4064256 4322592 4412646 4482688 4644864 5043024 5123072 5419008 5673402 5763456 5883528 6483888 6618969 6724032 7564536 7684608 7844704 8128512 8645184 8825292 8965376 10086048 10246144 10838016 11346804 11526912 11767056 12967776 13237938 13448064 15129072 15369216 15689408 16257024 17290368 17650584 17930752 19856907 20172096 20492288 22693608 23053824 23534112 25030009 25935552 26475876 26896128 30258144 30738432 31378816 32514048 34580736 35301168 35861504 39713814 40344192 40984576 45387216 46107648 47068224 50060018 51871104 52951752 53792256 60516288 61476864 62757632 69161472 70602336 71723008 75090027 79427628 80688384 90774432 92215296 94136448 100120036 103742208 105903504 107584512 121032576 122953728 125515264 138322944 141204672 143446016 150180054 158855256 161376768 175210063 181548864 184430592 188272896 200240072 207484416 211807008 215169024 225270081 242065152 251030528 276645888 282409344 286892032 300360108 317710512 322753536 350420126 363097728 368861184 376545792 400480144 414968832 423614016 430338048 450540162 484130304 502061056 525630189 553291776 564818688 600720216 635421024 645507072 675810243 700840252 726195456 753091584 800960288 829937664 847228032 860676096 901080324 968260608 1004122112 1051260378 1106583552 1129637376 1201440432 1226470441 1270842048 1291014144 1351620486 1401680504 1452390912 1506183168 1576890567 1601920576 1659875328 1694456064 1802160648 1936521216 2008244224 2027430729 2102520756 2259274752 2402880864 2452940882 2541684096 2582028288 2703240972 2803361008 2904781824 3012366336 3153781134 3203841152 3319750656 3388912128 3604321296 3679411323 3873042432 4054861458 4205041512 4518549504 4730671701 4805761728 4905881764 5083368192 5406481944 5606722016 5809563648 6024732672 6307562268 6407682304 6777824256 7208642592 7358822646 7746084864 8109722916 8410083024 9037099008 9461343402 9611523456 9811763528 10166736384 10812963888 11038233969 11213444032 11619127296 12615124536 12815364608 13555648512 14192015103 14417285184 14717645292 16219445832 16820166048 18074198016 18922686804 19223046912 19623527056 20333472768 21625927776 22076467938 22426888064 23238254592 25230249072 25630729216 27111297024 28384030206 28834570368 29435290584 32438891664 33114701907 33640332096 37845373608 38446093824 39247054112 40666945536 43251855552 44152935876 44853776128 50460498144 51261458432 54222594048 56768060412 57669140736 58870581168 64877783328 66229403814 67280664192 75690747216 76892187648 78494108224 81333891072 86503711104 88305871752 89707552256 99344105721 100920996288 102522916864 113536120824 115338281472 117741162336 129755566656 132458807628 134561328384 151381494432 153784375296 156988216448 162667782144 173007422208 176611743504 179415104512 198688211442 201841992576 205045833728 227072241648 230676562944 235482324672 259511133312 264917615256 269122656768 302762988864 307568750592 313976432896 346014844416 353223487008 358830209024 397376422884 403683985152 454144483296 461353125888 470964649344 519022266624 529835230512 538245313536 605525977728 615137501184 627952865792 692029688832 706446974016 717660418048 794752845768 807367970304 908288966592 922706251776 941929298688 1038044533248 1059670461024 1076490627072 1211051955456 1255905731584 1384059377664 1412893948032 1435320836096 1589505691536 1614735940608 1816577933184 1845412503552 1883858597376 2076089066496 2119340922048 2152981254144 2422103910912 2511811463168 2768118755328 2825787896064 3179011383072 3229471881216 3633155866368 3767717194752 4152178132992 4238681844096 4305962508288 4844207821824 5023622926336 5536237510656 5651575792128 6358022766144 6458943762432 7266311732736 7535434389504 8304356265984 8477363688192 9688415643648 10047245852672 11303151584256 12716045532288 12917887524864 14532623465472 15070868779008 16608712531968 16954727376384 19376831287296 22606303168512 25432091064576 29065246930944 30141737558016 33909454752768 38753662574592 45212606337024 50864182129152 58130493861888 67818909505536 90425212674048 101728364258304 116260987723776 135637819011072 203456728516608 271275638022144 406913457033216 813826914066432
• Sum of all divisors σ(n): 2828795018201163
• Sum of proper divisors (its aliquot sum) s(n): 2014968104134731
• 813826914066432 is an abundant number, because the sum of its proper divisors (2014968104134731) is greater than itself. Its abundance is 1201141190068299

Bases of 813826914066432

• Binary: 10111001000010101111011000000111110010000000000000₂
• Hexadecimal: 0x2E42BD81F2000
• Base-36: 80H6X88W00

Squares and roots of 813826914066432

• 813826914066432 squared (813826914066432²) is 662314246058891695106109210624
• 813826914066432 cubed (813826914066432³) is 539009159012343350482618054518394981416173568
• The square root of 813826914066432 is 28527651.7446920611
• The cube root of 813826914066432 is 93363.5484369729

Scales and comparisons

• 813,826,914,066,432 seconds is equal to 25,877,178 years, 27 weeks, 5 days, 21 hours, 7 minutes, 12 seconds.
• To count from 1 to 813,826,914,066,432 would take you about sixty-four million, six hundred ninety-two thousand, nine hundred forty-six 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 813826914066432 cubic inches would be around 7780.3 feet tall.

Recreational maths with 813826914066432

• 813826914066432 backwards is 234660419628318
• 813826914066432 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 813826914066432's digits is 63
• More coming soon!