31826812990472735744

Names of 31826812990472735744

• Cardinal: 31826812990472735744 can be written as Thirty-one quintillion, eight hundred twenty-six quadrillion, eight hundred twelve trillion, nine hundred ninety billion, four hundred seventy-two million, seven hundred thirty-five thousand, seven hundred forty-four.

Scientific notation

• Scientific notation: 3.1826812990472735744 × 10¹⁹

Factors of 31826812990472735744

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 134

Divisors of 31826812990472735744

• Number of divisors d(n): 308
• Complete list of divisors:
  1 2 4 8 16 32 59 64 73 118 128 146 236 256 292 472 512 584 944 1024 1168 1888 2336 3481 3776 4307 4672 5329 6962 7552 8614 9344 10658 13924 15104 17228 18688 21316 27848 30208 34456 37376 42632 55696 60416 68912 74752 85264 111392 137824 170528 205379 222784 254113 275648 314411 341056 389017 410758 445568 508226 551296 628822 682112 778034 821516 891136 1016452 1102592 1257644 1364224 1556068 1643032 1782272 2032904 2205184 2515288 2728448 3112136 3286064 3564544 4065808 4410368 5030576 5456896 6224272 6572128 8131616 10061152 12448544 13144256 14992667 16263232 18550249 20122304 22952003 24897088 26288512 28398241 29985334 32526464 37100498 40244608 45904006 49794176 52577024 56796482 59970668 65052928 74200996 80489216 91808012 99588352 105154048 113592964 119941336 130105856 148401992 160978432 183616024 199176704 210308096 227185928 239882672 260211712 296803984 321956864 367232048 398353408 454371856 479765344 593607968 734464096 908743712 959530688 1094464691 1187215936 1354168177 1468928192 1675496219 1817487424 1919061376 2073071593 2188929382 2374431872 2708336354 2937856384 3350992438 3634974848 3838122752 4146143186 4377858764 4748863744 5416672708 5875712768 6701984876 7269949696 7676245504 8292286372 8755717528 9497727488 10833345416 11751425536 13403969752 14539899392 15352491008 16584572744 17511435056 18995454976 21666690832 23502851072 26807939504 29079798784 33169145488 35022870112 43333381664 53615879008 66338290976 70045740224 79895922443 86666763328 98854276921 107231758016 122311223987 132676581952 140091480448 151334226289 159791844886 173333526656 197708553842 214463516032 244622447974 265353163904 280182960896 302668452578 319583689772 346667053312 395417107684 428927032064 489244895948 530706327808 560365921792 605336905156 639167379544 693334106624 790834215368 857854064128 978489791896 1061412655616 1120731843584 1210673810312 1278334759088 1386668213248 1581668430736 1715708128256 1956979583792 2122825311232 2421347620624 2556669518176 3163336861472 3913959167584 4842695241248 5113339036352 5832402338339 6326673722944 7216362215233 7827918335168 8928719351051 9685390482496 10226678072704 11664804676678 12653347445888 14432724430466 15655836670336 17857438702102 19370780964992 20453356145408 23329609353356 25306694891776 28865448860932 31311673340672 35714877404204 38741561929984 40906712290816 46659218706712 50613389783552 57730897721864 62623346681344 71429754808408 77483123859968 81813424581632 93318437413424 101226779567104 115461795443728 125246693362688 142859509616816 154966247719936 186636874826848 230923590887456 285719019233632 373273749653696 425765370698747 461847181774912 526794441712009 571438038467264 746547499307392 851530741397494 923694363549824 1053588883424018 1142876076934528 1493094998614784 1703061482794988 1847388727099648 2107177766848036 2285752153869056 2986189997229568 3406122965589976 3694777454199296 4214355533696072 4571504307738112 5972379994459136 6812245931179952 7389554908398592 8428711067392144 9143008615476224 13624491862359904 16857422134784288 27248983724719808 31080872061008531 33714844269568576 54497967449439616 62161744122017062 67429688539137152 108995934898879232 124323488244034124 134859377078274304 217991869797758464 248646976488068248 269718754156548608 435983739595516928 497293952976136496 539437508313097216 994587905952272992 1989175811904545984 3978351623809091968 7956703247618183936 15913406495236367872 31826812990472735744
• Sum of all divisors σ(n): 65618361870190567320
• Sum of proper divisors (its aliquot sum) s(n): 33791548879717831576
• 31826812990472735744 is an abundant number, because the sum of its proper divisors (33791548879717831576) is greater than itself. Its abundance is 1964735889245095832

Bases of 31826812990472735744

• Binary: 11011100110101111100011011100101000000101111010100100110000000000₂
• Hexadecimal: 0x1B9AF8DCA05EA4C00
• Base-36: 6PSZJM23RM5FK

Squares and roots of 31826812990472735744

• 31826812990472735744 squared (31826812990472735744²) is 1012946025130524084336176508203655233536
• 31826812990472735744 cubed (31826812990472735744³) is 32238843711271886165680399018347517099906025492985134710784
• The square root of 31826812990472735744 is 5641525767.9525612305
• The cube root of 31826812990472735744 is 3169064.2977479757
• Being both a perfect square and a perfect cube, 31826812990472735744 is also a perfect sixth number.

Scales and comparisons

• 31,826,812,990,472,735,744 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 31,826,812,990,472,735,744 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 31826812990472735744 cubic inches would be around 264088.7 feet tall.

Recreational maths with 31826812990472735744

• 31826812990472735744 backwards is 44753727409921862813
• The number of decimal digits it has is: 20
• The sum of 31826812990472735744's digits is 92
• More coming soon!