342984342999991709952

Names of 342984342999991709952

• Cardinal: 342984342999991709952 can be written as Three hundred forty-two quintillion, nine hundred eighty-four quadrillion, three hundred forty-two trillion, nine hundred ninety-nine billion, nine hundred ninety-one million, seven hundred nine thousand, nine hundred fifty-two.

Scientific notation

• Scientific notation: 3.42984342999991709952 × 10²⁰

Factors of 342984342999991709952

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 42888139500210

Divisors of 342984342999991709952

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 89 96 104 108 117 128 144 156 178 192 208 216 234 256 267 288 312 351 356 384 416 432 468 534 576 624 702 712 768 801 832 864 936 1068 1152 1157 1248 1404 1424 1602 1664 1728 1872 2136 2304 2314 2403 2496 2808 2848 3204 3328 3456 3471 3744 4272 4628 4806 4992 5616 5696 6408 6912 6942 7488 8544 9256 9612 9984 10413 11232 11392 12816 13884 14976 17088 18512 19224 20826 22464 22784 25632 27768 29952 31239 34176 37024 38448 41652 44928 51264 55536 62478 68352 74048 76896 83304 89856 102528 111072 124956 148096 153792 166608 205056 222144 249912 296192 307584 333216 444288 499824 615168 666432 888576 999648 1332864 1999296 2665728 3998592 7997184 42888139500103 85776279000206 128664418500309 171552558000412 257328837000618 343105116000824 385993255500927 514657674001236 557545813501339 686210232001648 771986511001854 1029315348002472 1115091627002678 1157979766502781 1372420464003296 1543973022003708 1672637440504017 2058630696004944 2230183254005356 2315959533005562 2744840928006592 3087946044007416 3345274881008034 3817044415509167 4117261392009888 4460366508010712 4631919066011124 5017912321512051 5489681856013184 6175892088014832 6690549762016068 7634088831018334 8234522784019776 8920733016021424 9263838132022248 10035824643024102 10979363712026368 11451133246527501 12351784176029664 13381099524032136 15053736964536153 15268177662036668 16469045568039552 17841466032042848 18527676264044496 20071649286048204 22902266493055002 24703568352059328 26762199048064272 30107473929072306 30536355324073336 32938091136079104 34353399739582503 35682932064085696 37055352528088992 40143298572096408 45804532986110004 49407136704118656 49621577401619171 53524398096128544 60214947858144612 61072710648146672 68706799479165006 71365864128171392 74110705056177984 80286597144192816 91609065972220008 98814273408237312 99243154803238342 103060199218747509 107048796192257088 120429895716289224 122145421296293344 137413598958330012 142731728256342784 148221410112355968 148864732204857513 160573194288385632 183218131944440016 198486309606476684 206120398437495018 214097592384514176 240859791432578448 244290842592586688 274827197916660024 296442820224711936 297729464409715026 321146388576771264 366436263888880032 396972619212953368 412240796874990036 428195184769028352 446594196614572539 481719582865156896 488581685185173376 549654395833320048 595458928819430052 642292777153542528 732872527777760064 793945238425906736 824481593749980072 893188393229145078 963439165730313792 977163370370346752 1099308791666640096 1190917857638860104 1284585554307085056 1339782589843717617 1465745055555520128 1587890476851813472 1648963187499960144 1786376786458290156 1926878331460627584 2198617583333280192 2381835715277720208 2679565179687435234 2931490111111040256 3175780953703626944 3297926374999920288 3572753572916580312 3853756662921255168 4397235166666560384 4763671430555440416 5359130359374870468 6351561907407253888 6595852749999840576 7145507145833160624 8794470333333120768 9527342861110880832 10718260718749740936 12703123814814507776 13191705499999681152 14291014291666321248 19054685722221761664 21436521437499481872 26383410999999362304 28582028583332642496 38109371444443523328 42873042874998963744 57164057166665284992 85746085749997927488 114328114333330569984 171492171499995854976 342984342999991709952
• Sum of all divisors σ(n): 1104558299941478457600
• Sum of proper divisors (its aliquot sum) s(n): 761573956941486747648
• 342984342999991709952 is an abundant number, because the sum of its proper divisors (761573956941486747648) is greater than itself. Its abundance is 418589613941495037696

Bases of 342984342999991709952

• Binary: 100101001011111011101001010101011111111100011001111011111000100000000₂
• Hexadecimal: 0x1297DD2ABFE33DF100
• Base-36: 20DU16FYQDH6O0

Squares and roots of 342984342999991709952

• 342984342999991709952 squared (342984342999991709952²) is 117638259543135962286666563140724895842304
• 342984342999991709952 cubed (342984342999991709952³) is 40348081161064992957746859763691662288647637406130672299409408
• The square root of 342984342999991709952 is 18519836473.3599014019
• The cube root of 342984342999991709952 is 6999893.4881751889

Scales and comparisons

• 342,984,342,999,991,709,952 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 342,984,342,999,991,709,952 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 342984342999991709952 cubic inches would be around 583324.5 feet tall.

Recreational maths with 342984342999991709952

• 342984342999991709952 backwards is 259907199999243489243
• 342984342999991709952 is a Harshad number.
• The number of decimal digits it has is: 21
• The sum of 342984342999991709952's digits is 117
• More coming soon!