131948575046380352

Names of 131948575046380352

• Cardinal: 131948575046380352 can be written as One hundred thirty-one quadrillion, nine hundred forty-eight trillion, five hundred seventy-five billion, forty-six million, three hundred eighty thousand, three hundred fifty-two.

Scientific notation

• Scientific notation: 1.31948575046380352 × 10¹⁷

Factors of 131948575046380352

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 8822

Divisors of 131948575046380352

• Number of divisors d(n): 378
• Complete list of divisors:
  1 2 4 8 13 16 26 29 32 52 58 64 104 116 169 197 208 232 338 377 394 416 464 676 754 788 832 841 928 1352 1508 1576 1682 1856 2561 2704 3016 3152 3364 4901 5122 5408 5713 6032 6304 6728 8581 9802 10244 10816 10933 11426 12064 12608 13456 17162 19604 20488 21866 22852 24128 26912 33293 34324 39208 40976 43732 45704 53824 66586 68648 74269 78416 81952 87464 91408 111553 133172 137296 142129 148538 156832 163904 165677 174928 182816 223106 248849 266344 274592 284258 297076 313664 331354 349856 365632 446212 497698 532688 549184 568516 594152 662708 699712 892424 965497 995396 1065376 1137032 1188304 1325416 1450189 1690457 1784848 1930994 1990792 2130752 2153801 2274064 2376608 2650832 2900378 3235037 3380914 3569696 3861988 3981584 4307602 4548128 4753216 5301664 5800756 6470074 6761828 7139392 7216621 7723976 7963168 8615204 9096256 10603328 11601512 12940148 13523656 14433242 15447952 15926336 17230408 21975941 23203024 25880296 27047312 27999413 28866484 30895904 34460816 42055481 43951882 46406048 49023253 51760592 54094624 55998826 57732968 61791808 68921632 73633561 84110962 87903764 92812096 93816073 98046506 103521184 108189248 111997652 115465936 137843264 147267122 168221924 175807528 187632146 196093012 207042368 223995304 230931872 285687233 294534244 336443848 351615056 375264292 392186024 447990608 461863744 571374466 589068488 637302289 672887696 703230112 750528584 784372048 895981216 957236293 1142748932 1178136976 1219608949 1274604578 1345775392 1406460224 1421674337 1501057168 1568744096 1791962432 1914472586 2135373269 2285497864 2356273952 2439217898 2549209156 2691550784 2843348674 3002114336 3137488192 3828945172 4270746538 4570995728 4712547904 4878435796 5098418312 5686697348 6004228672 7657890344 8284929757 8541493076 9141991456 9756871592 10196836624 11373394696 12444071809 14505811517 15315780688 16569859514 17082986152 18283982912 18481766381 19513743184 20393673248 22746789392 24888143618 27759852497 29011623034 30631561376 33139719028 34165972304 36963532762 39027486368 40787346496 45493578784 49776287236 55519704994 58023246068 61263122752 61925824801 66279438056 68331944608 73927065524 78054972736 90987157568 99552574472 111039409988 116046492136 123851649602 132558876112 136663889216 147854131048 188575549721 199105148944 222078819976 232092984272 240262962953 247703299204 265117752224 295708262096 360878082461 377151099442 398210297888 420668533993 444157639952 464185968544 480525925906 495406598408 530235504448 591416524192 721756164922 754302198884 796420595776 805035722413 841337067986 888315279904 928371937088 961051851812 990813196816 1182833048384 1443512329844 1508604397768 1610071444826 1682674135972 1776630559808 1922103703624 1981626393632 2451482146373 2887024659688 3017208795536 3220142889652 3365348271944 3844207407248 3963252787264 4902964292746 5468690941909 5774049319376 6034417591072 6440285779304 6730696543888 7688414814496 9805928585492 10465464391369 10937381883818 11548098638752 12068835182144 12199387485797 12880571558608 13461393087776 15376829628992 19611857170984 20930928782738 21874763767636 23096197277504 24398774971594 25761143117216 26922786175552 39223714341968 41861857565476 43749527535272 48797549943188 51522286234432 71092982244817 78447428683936 83723715130952 87499055070544 97595099886376 142185964489634 156894857367872 158592037315361 167447430261904 174998110141088 195190199772752 284371928979268 317184074630722 334894860523808 349996220282176 390380399545504 568743857958536 634368149261444 669789721047616 780760799091008 1137487715917072 1268736298522888 2061696485099693 2274975431834144 2537472597045776 4123392970199386 4549950863668288 5074945194091552 8246785940398772 10149890388183104 16493571880797544 32987143761595088 65974287523190176 131948575046380352
• Sum of all divisors σ(n): 295164806626458054
• Sum of proper divisors (its aliquot sum) s(n): 163216231580077702
• 131948575046380352 is an abundant number, because the sum of its proper divisors (163216231580077702) is greater than itself. Its abundance is 31267656533697350

Bases of 131948575046380352

• Binary: 111010100110001101000011110101000010000100010101101000000₂
• Hexadecimal: 0x1D4C687A8422B40
• Base-36: 1037V6K3D4JK

Squares and roots of 131948575046380352

• 131948575046380352 squared (131948575046380352²) is 17410426456770267710947937051643904
• 131948575046380352 cubed (131948575046380352³) is 2297280961920637634363209992722114114365886446174208
• The square root of 131948575046380352 is 363247264.3343379015
• The cube root of 131948575046380352 is 509098.2077907023

Scales and comparisons

• 131,948,575,046,380,352 seconds is equal to 4,195,556,542 years, 38 weeks, 1 day, 7 hours, 52 minutes, 32 seconds.
• To count from 1 to 131,948,575,046,380,352 would take you about twelve billion, five hundred eighty-six million, six hundred sixty-nine thousand, six hundred twenty-eight 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 131948575046380352 cubic inches would be around 42424.9 feet tall.

Recreational maths with 131948575046380352

• 131948575046380352 backwards is 253083640575849131
• The number of decimal digits it has is: 18
• The sum of 131948575046380352's digits is 74
• More coming soon!