48911312131138800
48,911,312,131,138,800 is an even composite number composed of seven prime numbers multiplied together.
What does the number 48911312131138800 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 720 divisors.
48911312131138800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 48911312131138800:
24 × 32 × 52 × 7 × 31 × 41 × 1527085039
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 31 × 41 × 1527085039)See below for interesting mathematical facts about the number 48911312131138800 from the Numbermatics database.
Names of 48911312131138800
- Cardinal: 48911312131138800 can be written as Forty-eight quadrillion, nine hundred eleven trillion, three hundred twelve billion, one hundred thirty-one million, one hundred thirty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 4.89113121311388 × 1016
Factors of 48911312131138800
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 12
- Sum of prime factors: 1527085128
Divisors of 48911312131138800
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 31 35 36 40 41 42 45 48 50 56 60 62 63 70 72 75 80 82 84 90 93 100 105 112 120 123 124 126 140 144 150 155 164 168 175 180 186 200 205 210 217 225 240 246 248 252 279 280 287 300 310 315 328 336 350 360 369 372 400 410 420 434 450 465 492 496 504 525 558 560 574 600 615 620 630 651 656 700 720 738 744 775 820 840 861 868 900 930 984 1008 1025 1050 1085 1116 1148 1200 1230 1240 1260 1271 1302 1395 1400 1435 1476 1488 1550 1575 1640 1680 1722 1736 1800 1845 1860 1953 1968 2050 2100 2170 2232 2296 2325 2460 2480 2520 2542 2583 2604 2790 2800 2870 2952 3075 3100 3150 3255 3280 3444 3472 3600 3690 3720 3813 3906 4100 4200 4305 4340 4464 4592 4650 4920 5040 5084 5166 5208 5425 5580 5740 5904 6150 6200 6300 6355 6510 6888 6975 7175 7380 7440 7626 7812 8200 8400 8610 8680 8897 9225 9300 9765 9840 10168 10332 10416 10850 11160 11439 11480 12300 12400 12600 12710 12915 13020 13776 13950 14350 14760 15252 15624 16275 16400 17220 17360 17794 18450 18600 19065 19530 20336 20664 21525 21700 22320 22878 22960 24600 25200 25420 25830 26040 26691 27900 28700 29520 30504 31248 31775 32550 34440 35588 36900 37200 38130 39060 41328 43050 43400 44485 45756 48825 49200 50840 51660 52080 53382 55800 57195 57400 61008 63550 64575 65100 68880 71176 73800 76260 78120 80073 86100 86800 88970 91512 95325 97650 101680 103320 106764 111600 114390 114800 127100 129150 130200 133455 142352 147600 152520 156240 160146 172200 177940 183024 190650 195300 206640 213528 222425 228780 254200 258300 260400 266910 285975 305040 320292 344400 355880 381300 390600 400365 427056 444850 457560 508400 516600 533820 571950 640584 667275 711760 762600 781200 800730 889700 915120 1033200 1067640 1143900 1281168 1334550 1525200 1601460 1779400 2001825 2135280 2287800 2669100 3202920 3558800 4003650 4575600 5338200 6405840 8007300 10676400 16014600 32029200 1527085039 3054170078 4581255117 6108340156 7635425195 9162510234 10689595273 12216680312 13743765351 15270850390 18325020468 21379190546 22906275585 24433360624 27487530702 30541700780 32068785819 36650040936 38177125975 42758381092 45812551170 47339636209 53447976365 54975061404 61083401560 62610486599 64137571638 68718826755 73300081872 76354251950 85516762184 91625102340 94679272418 96206357457 106895952730 109950122808 114531377925 122166803120 125220973198 128275143276 137437653510 142018908627 152708503900 160343929095 171033524368 183250204680 187831459797 189358544836 192412714914 213791905460 219900245616 229062755850 236698181045 250441946396 256550286552 267239881825 274875307020 284037817254 305417007800 313052432995 320687858190 331377453463 343594133775 366500409360 375662919594 378717089672 384825429828 426056725881 427583810920 438273406193 458125511700 473396362090 481031787285 500883892792 513100573104 534479763650 549750614040 563494379391 568075634508 610834015600 626104865990 641375716380 662754906926 687188267550 710094543135 751325839188 757434179344 769650859656 801719645475 852113451762 855167621840 876546812386 916251023400 939157298985 946792724180 962063574570 994132360389 1001767785584 1068959527300 1099501228080 1126988758782 1136151269016 1183490905225 1252209731980 1282751432760 1314820218579 1325509813852 1374376535100 1420189086270 1502651678376 1539301719312 1565262164975 1603439290950 1656887267315 1704226903524 1753093624772 1832502046800 1878314597970 1893585448360 1924127149140 1940925084569 1988264720778 2130283629405 2137919054600 2191367030965 2253977517564 2272302538032 2366981810450 2405158936425 2504419463960 2565502865520 2629640437158 2651019627704 2748753070200 2817471896955 2840378172540 2982397081167 3005303356752 3130524329950 3206878581900 3313774534630 3408453807048 3506187249544 3550472715675 3756629195940 3787170896720 3848254298280 3881850169138 3944460655737 3976529441556 4260567258810 4275838109200 4382734061930 4507955035128 4695786494925 4733963620900 4810317872850 4970661801945 5008838927920 5259280874316 5302039255408 5497506140400 5634943793910 5680756345080 5822775253707 5964794162334 6261048659900 6413757163800 6574101092895 6627549069260 6816907614096 7012374499088 7100945431350 7513258391880 7696508596560 7763700338276 7888921311474 7953058883112 8284436336575 8521134517620 8765468123860 9015910070256 9391572989850 9467927241800 9620635745700 9704625422845 9941323603890 10518561748632 10651418147025 10956835154825 11269887587820 11361512690160 11645550507414 11929588324668 12522097319800 12827514327600 13148202185790 13255098138520 13586475591983 14087359484775 14201890862700 14911985405835 15026516783760 15527400676552 15777842622948 15906117766224 16568872673150 17042269035240 17468325761121 17530936247720 18783145979700 18935854483600 19241271491400 19409250845690 19722303278685 19882647207780 21037123497264 21302836294050 21913670309650 22539775175640 23291101014828 23859176649336 24853309009725 25044194639600 26296404371580 26510196277040 27172951183966 28174718969550 28403781725400 29113876268535 29823970811670 31054801353104 31555685245896 32870505464475 33137745346300 34084538070480 34936651522242 35061872495440 37566291959400 38482542982800 38818501691380 39444606557370 39765294415560 40759426775949 42605672588100 43827340619300 45079550351280 46582202029656 47718353298672 48523127114225 49706618019450 52592808743160 54345902367932 56349437939100 56807563450800 58227752537070 59647941623340 63111370491792 65741010928950 66275490692600 67932377959915 69873303044484 74559927029175 75132583918800 77637003382760 78889213114740 79530588831120 81518853551898 85211345176200 87341628805605 87654681238600 93164404059312 97046254228450 98611516393425 99413236038900 105185617486320 108691804735864 112698875878200 116455505074140 119295883246680 122278280327847 131482021857900 132550981385200 135864755919830 139746606088968 145569381342675 149119854058350 155274006765520 157778426229480 163037707103796 170422690352400 174683257611210 175309362477200 194092508456900 197223032786850 198826472077800 203797133879745 217383609471728 225397751756400 232911010148280 238591766493360 244556560655694 262964043715800 271729511839660 279493212177936 291138762685350 298239708116700 315556852458960 326075414207592 339661889799575 349366515222420 388185016913800 394446065573700 397652944155600 407594267759490 436708144028025 465822020296560 489113121311388 525928087431600 543459023679320 582277525370700 596479416233400 611391401639235 652150828415184 679323779599150 698733030444840 776370033827600 788892131147400 815188535518980 873416288056050 978226242622776 1018985669398725 1086918047358640 1164555050741400 1192958832466800 1222782803278470 1358647559198300 1397466060889680 1577784262294800 1630377071037960 1746832576112100 1956452485245552 2037971338797450 2329110101482800 2445565606556940 2717295118396600 3056957008196175 3260754142075920 3493665152224200 4075942677594900 4891131213113880 5434590236793200 6113914016392350 6987330304448400 8151885355189800 9782262426227760 12227828032784700 16303770710379600 24455656065569400 48911312131138800
- Sum of all divisors σ(n): 205125294847549440
- Sum of proper divisors (its aliquot sum) s(n): 156213982716410640
- 48911312131138800 is an abundant number, because the sum of its proper divisors (156213982716410640) is greater than itself. Its abundance is 107302670585271840
Bases of 48911312131138800
- Binary: 101011011100010010010100010010010001001100100100111100002
- Hexadecimal: 0xADC494491324F0
- Base-36: DDLM2LI82K0
Squares and roots of 48911312131138800
- 48911312131138800 squared (489113121311388002) is 2392316454389685541408584865440000
- 48911312131138800 cubed (489113121311388003) is 117011336817113188146642308109685986231963072000000
-
The
square root of 48911312131138800 is 221159020.0085422697 -
The
cube root of 48911312131138800 is 365709.6648657327
Scales and comparisons
How big is 48911312131138800?- 48,911,312,131,138,800 seconds is equal to 1,555,228,433 years, 7 weeks, 4 days, 23 hours.
-
To count from 1 to 48,911,312,131,138,800 would take you about four billion, six hundred sixty-five million, six hundred eighty-five thousand, two hundred ninety-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 48911312131138800 cubic inches would be around 30475.8 feet tall.
Recreational maths with 48911312131138800
- 48911312131138800 backwards is 00883113121311984
- The number of decimal digits it has is: 17
- The sum of 48911312131138800's digits is 54
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 48911312131138800 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
APA style:
Numbermatics. (2024). Number 48911312131138800 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/48911312131138800/
Chicago style:
Numbermatics. 2024. "Number 48911312131138800 - Facts about the integer". https://numbermatics.com/n/48911312131138800/
The information we have on file for 48911312131138800 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 48911312131138800, math, Factors of 48911312131138800, curriculum, school, college, exams, university, Prime factorization of 48911312131138800, STEM, science, technology, engineering, physics, economics, calculator, forty-eight quadrillion, nine hundred eleven trillion, three hundred twelve billion, one hundred thirty-one million, one hundred thirty-eight thousand, eight hundred.