398138839778455866442091961

Names of 398138839778455866442091961

• Cardinal: 398138839778455866442091961 can be written as Three hundred ninety-eight septillion, one hundred thirty-eight sextillion, eight hundred thirty-nine quintillion, seven hundred seventy-eight quadrillion, four hundred fifty-five trillion, eight hundred sixty-six billion, four hundred forty-two million, ninety-one thousand, nine hundred sixty-one.

Scientific notation

• Scientific notation: 3.98138839778455866442091961 × 10²⁶

Factors of 398138839778455866442091961

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 6496

Divisors of 398138839778455866442091961

• Number of divisors d(n): 225
• Complete list of divisors:
  1 3 9 13 27 39 81 117 169 349 351 507 1047 1053 1521 2197 3141 4537 4563 6131 6591 9423 13611 13689 18393 19773 28269 28561 40833 55179 58981 59319 79703 85683 121801 122499 165537 176943 177957 239109 257049 365403 367497 496611 530829 717327 766753 771147 1036139 1096209 1583413 1592487 2139719 2151981 2300259 2313441 3108417 3288627 4750239 4777461 6419157 6455943 6900777 9325251 9865881 9967789 13469807 14250717 19257471 20584369 20702331 27816347 27975753 29903367 37589161 40409421 42752151 57772413 61753107 62106993 83449041 83927259 89710101 112767483 121228263 128256453 173317239 175107491 185259321 250347123 267596797 269130303 338302449 361612511 363684789 488659093 525322473 555777963 746761931 751041369 802790391 807390909 1014907347 1084837533 1091054367 1465977279 1575967419 1667333889 2240285793 2253124107 2408371173 3044722041 3254512599 3478758361 4397931837 4700962643 4727902257 6352568209 6720857379 7225113519 9707905103 9763537797 10436275083 13118617189 13193795511 14102887929 14183706771 19057704627 20162572137 21675340557 29123715309 29290613391 31308825249 39355851567 39581386533 42308663787 57173113881 60487716411 61112514359 82583386717 87371145927 93926475747 118067554701 126202766339 126925991361 170542023457 171519341643 183337543077 247750160151 262113437781 281779427241 354202664103 378608299017 380777974083 511626070371 514558024929 550012629231 743250480453 786340313343 1062607992309 1073584027321 1135824897051 1534878211113 1640635962407 1650037887693 2217046304941 2229751441359 3220752081963 3407474691153 4578397398961 4604634633339 4921907887221 4950113663079 6651138914823 6689254324077 9662256245889 10222424073459 13735192196883 13813903900017 14765723661663 19953416744469 21328267511291 28821601964233 28986768737667 41205576590649 44297170984989 59519166186493 59860250233407 63984802533873 86464805892699 86960306213001 123616729771947 132891512954967 178557498559479 179580750700221 191954407601619 259394417678097 370850189315841 374680825535029 535672495678437 575863222804857 773749160424409 778183253034291 1124042476605087 1607017487035311 1727589668414571 2321247481273227 2334549759102873 3372127429815261 4821052461105933 6963742443819681 10058739085517317 10116382289445783 20891227331459043 30176217256551951 30349146868337349 62673681994377129 90528651769655853 130763608111725121 271585955308967559 392290824335175363 814757865926902677 1176872473005526089 3530617419016578267 10591852257049734801
• Sum of all divisors σ(n): 398138846379546345675850383
• Sum of proper divisors (its aliquot sum) s(n): 6601090479233758422
• 398138839778455866442091961 is a deficient number, because the sum of its proper divisors (6601090479233758422) is less than itself. Its deficiency is 398138833177365387208333539

Bases of 398138839778455866442091961

• Binary: 10100100101010101001011011100000001111110101011100110000001011001100101011000110110111001₂
• Hexadecimal: 0x149552DC07EAE6059958DB9
• Base-36: 1E0XID8HS7QTMCZYK9

Squares and roots of 398138839778455866442091961

• 398138839778455866442091961 squared (398138839778455866442091961²) is 158514535740134951361980644165654674899231753980825521
• 398138839778455866442091961 cubed (398138839778455866442091961³) is 63110793347597905501833148880305244820772773750726903047371440855808896977736681
• 398138839778455866442091961 is a perfect square number. Its square root is 19953416744469
• The cube root of 398138839778455866442091961 is 735661760.5993907013

Scales and comparisons

• 398,138,839,778,455,866,442,091,961 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 398,138,839,778,455,866,442,091,961 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 398138839778455866442091961 cubic inches would be around 61305146.7 feet tall.

Recreational maths with 398138839778455866442091961

• 398138839778455866442091961 backwards is 169190244668554877938831893
• The number of decimal digits it has is: 27
• The sum of 398138839778455866442091961's digits is 144
• More coming soon!