13388768438976
13,388,768,438,976 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13388768438976 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2016 divisors.
13388768438976 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand and sixteen divisors.
Prime factorization of 13388768438976:
26 × 32 × 72 × 193 × 23 × 31 × 97
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 19 × 19 × 19 × 23 × 31 × 97)See below for interesting mathematical facts about the number 13388768438976 from the Numbermatics database.
Names of 13388768438976
- Cardinal: 13388768438976 can be written as Thirteen trillion, three hundred eighty-eight billion, seven hundred sixty-eight million, four hundred thirty-eight thousand, nine hundred seventy-six.
Scientific notation
- Scientific notation: 1.3388768438976 × 1013
Factors of 13388768438976
Divisors of 13388768438976
- Number of divisors d(n): 2016
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 19 21 23 24 28 31 32 36 38 42 46 48 49 56 57 62 63 64 69 72 76 84 92 93 96 97 98 112 114 124 126 133 138 144 147 152 161 168 171 184 186 192 194 196 207 217 224 228 248 252 266 276 279 288 291 294 304 322 336 342 361 368 372 388 392 399 414 434 437 441 448 456 483 496 504 532 552 558 576 582 588 589 608 644 651 672 679 684 713 722 736 744 776 784 798 828 868 873 874 882 912 931 966 992 1008 1064 1083 1104 1116 1127 1164 1176 1178 1197 1216 1288 1302 1311 1344 1358 1368 1426 1444 1449 1472 1488 1519 1552 1568 1596 1656 1736 1746 1748 1764 1767 1824 1843 1862 1932 1953 1984 2016 2037 2128 2139 2166 2208 2231 2232 2254 2328 2352 2356 2394 2527 2576 2604 2622 2716 2736 2793 2852 2888 2898 2976 3007 3038 3059 3104 3136 3192 3249 3312 3381 3472 3492 3496 3528 3534 3648 3686 3724 3864 3906 3933 4032 4074 4123 4256 4278 4332 4416 4462 4464 4508 4557 4656 4704 4712 4753 4788 4991 5054 5152 5208 5244 5301 5432 5472 5529 5586 5704 5776 5796 5952 6014 6076 6111 6118 6208 6384 6417 6498 6624 6693 6762 6859 6944 6984 6992 7056 7068 7372 7448 7581 7728 7812 7866 8148 8246 8303 8379 8512 8556 8664 8924 8928 9016 9021 9114 9177 9312 9408 9424 9506 9576 9982 10108 10143 10304 10416 10488 10602 10864 10944 11058 11172 11191 11408 11552 11592 12028 12152 12222 12236 12369 12768 12834 12901 12996 13248 13386 13524 13547 13671 13718 13888 13968 13984 14112 14136 14259 14744 14896 14973 15162 15456 15617 15624 15732 16296 16492 16587 16606 16758 17112 17328 17689 17848 17856 18032 18042 18228 18354 18624 18848 19012 19152 19964 20079 20216 20286 20577 20832 20976 21049 21204 21413 21728 22116 22344 22382 22743 22816 23104 23184 24056 24304 24444 24472 24738 24909 25536 25668 25802 25992 26772 27048 27063 27094 27342 27436 27531 27936 27968 28224 28272 28518 28861 29488 29792 29946 30324 30912 31234 31248 31464 32592 32984 33174 33212 33516 33573 34224 34656 34937 35017 35378 35696 36064 36084 36456 36708 37107 37696 38024 38304 38703 39928 40158 40432 40572 40641 41154 41664 41952 42098 42389 42408 42777 42826 43456 44232 44688 44764 44919 45486 45632 46368 46851 48013 48112 48608 48888 48944 49476 49818 51336 51604 51984 53067 53544 54096 54126 54188 54684 54872 55062 55872 56544 57036 57133 57722 58121 58976 59584 59892 60648 61731 62468 62496 62928 63147 64239 65184 65968 66348 66424 67032 67146 68448 69161 69312 69874 70034 70756 71392 72128 72168 72912 73416 74214 74727 76048 76608 77406 78337 79856 80316 80864 81144 81282 82308 83904 84196 84778 84816 85554 85652 86583 88464 89376 89528 89838 90307 90972 92736 93702 94829 96026 96224 97216 97776 97888 98952 99636 100719 102672 103208 103968 104811 105051 106134 107088 108192 108252 108376 109319 109368 109744 110124 113088 114072 114266 115444 116109 116242 117952 119784 121296 121923 123462 124936 124992 125856 126294 127167 128478 130368 131936 132696 132848 134064 134292 136896 138322 139748 140068 140553 141512 142784 144039 144336 145824 146832 147343 148428 149454 152096 154812 156674 157757 159201 159712 160632 161728 162288 162564 164616 168392 169556 169632 171108 171304 171399 173166 174363 176928 178752 179056 179676 180614 181944 187404 189441 189658 192052 192448 192717 195552 195776 197904 199272 201438 205344 206416 207483 207936 209622 210102 212268 212629 214176 216384 216504 216752 218638 218736 219488 220248 228144 228532 230888 232218 232484 235011 239568 242592 243846 245119 246924 249872 251712 252588 254334 256956 257393 259749 263872 265392 265696 268128 268584 270921 276644 279496 280136 281106 283024 284487 288078 288672 291648 293664 294686 296723 296856 298908 304192 309624 313348 314433 315153 315514 318402 319424 321264 324576 325128 327957 329232 336091 336784 339112 339264 342216 342608 342798 346332 348726 353856 358112 359352 361228 363888 374808 378882 379316 381501 384104 385434 391104 395808 398544 399931 402876 406847 410688 412832 414966 419244 420204 424536 425258 428352 432117 433008 433504 437276 437472 438976 440496 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74901363 75673542 76786752 77317536 78114624 78157944 78247472 78928318 78963696 79509528 81333336 82359984 82500052 82785717 83350568 83830698 84099776 84869568 85456224 86484048 88028406 89584544 90203792 90868032 91184268 91814574 92761116 92952384 93769389 94612248 95257792 95587632 95806512 96794208 97802481 99698928 99868484 100782612 100898056 101479266 102699807 104210592 105284928 106012704 106381646 107117003 107165016 108444448 109813312 110380956 111774264 113510313 115180128 115312064 115976304 117171936 117371208 118392477 121579024 122000004 122419432 122474304 123539976 123681488 123750078 125025852 126149664 127450176 127742016 128777782 129726072 130403308 132931904 134376816 135305688 136776402 136933076 137721861 139141674 139428576 141188544 142886688 144375091 147174608 148258368 149032352 149548392 149802726 151347084 154635072 156315888 156494944 157856636 157927392 159019056 159572469 162666672 164719968 165000104 165571434 166701136 167661396 170912448 172968096 174769847 176056812 179169088 180407584 182368536 183629148 185522232 185625117 187538778 189224496 191175264 191613024 193166673 193588416 195604962 199397856 199736968 201565224 201796112 202958532 205399614 208421184 212025408 212763292 214234006 214330032 216888896 220761912 223548528 224704089 227020626 230360256 231952608 234343872 234742416 236784954 239632883 243158048 244000008 244838864 247079952 247362976 247500156 250051704 252299328 257555564 259452144 260806616 268753632 270611376 273552804 273866152 275443722 278283348 278857152 285773376 288750182 293407443 294349216 298064704 299096784 299605452 302694168 308099421 312631776 312989888 315713272 315854784 318038112 319144938 321351009 325333344 329439936 330000208 331142868 333402272 335322792 345936192 349539694 352113624 355177431 360815168 364737072 367258296 371044464 371250234 375077556 378448992 382350528 383226048 386333346 391209924 398795712 399473936 403130448 403592224 405917064 410799228 425526584 428468012 428660064 433125273 441523824 447097056 449408178 454041252 463905216 469484832 473569908 474375299 478717407 479265766 486316096 488000016 489677728 494159904 494725952 495000312 500103408 515111128 518904288 521613232 524309541 537507264 541222752 547105608 547732304 550887444 556566696 577500364 579500019 586814886 588698432 598193568 599210904 605388336 616198842 625263552 631426544 636076224 638289876 642702018 650666688 660000416 662285736 666804544 670645584 699079388 704227248 710354862 718898649 729474144 734516592 742088928 742500468 749819021 750155112 756897984 772666692 782419848 798947872 806260896 807184448 811834128 821598456 851053168 856936024 857320128 866250546 883047648 894194112 898816356 908082504 938969664 947139816 948750598 957434814 958531532 964053027 976000032 979355456 988319808 990000624 1000206816 1010625637 1030222256 1037808576 1043226464 1048619082 1082445504 1094211216 1095464608 1101774888 1113133392 1155000728 1159000038 1173629772 1196387136 1198421808 1210776672 1223388929 1232397684 1262853088 1276579752 1285404036 1299375819 1320000832 1324571472 1341291168 1398158776 1408454496 1420709724 1423125897 1437797298 1458948288 1469033184 1484177856 1485000936 1499638042 1500310224 1545333384 1564839696 1572928623 1597895744 1612521792 1623668256 1643196912 1702106336 1713872048 1732501092 1766095296 1797632712 1816165008 1894279632 1897501196 1914869628 1917063064 1928106054 1952000064 1980001248 2000413632 2021251274 2060444512 2086452928 2097238164 2156695947 2188422432 2190929216 2203549776 2226266784 2249457063 2310001456 2318000076 2347259544 2396843616 2421553344 2446777858 2464795368 2525706176 2553159504 2570808072 2598751638 2649142944 2682582336 2796317552 2816908992 2841419448 2846251794 2875594596 2938066368 2970001872 2999276084 3000620448 3031876911 3090666768 3129679392 3145857246 3247336512 3286393824 3320627093 3404212672 3427744096 3465002184 3595265424 3632330016 3670166787 3788559264 3795002392 3829739256 3834126128 3856212108 3960002496 4042502548 4120889024 4194476328 4269377691 4313391894 4376844864 4407099552 4452533568 4498914126 4620002912 4636000152 4694519088 4793687232 4893555716 4929590736 5106319008 5141616144 5197503276 5298285888 5592635104 5682838896 5692503588 5751189192 5940003744 5998552168 6001240896 6063753822 6181333536 6259358784 6291714492 6572787648 6641254186 6748371189 6855488192 6930004368 7190530848 7264660032 7340333574 7577118528 7590004784 7659478512 7668252256 7712424216 8085005096 8388952656 8538755382 8626783788 8814199104 8997828252 9095630733 9240005824 9272000304 9389038176 9787111432 9859181472 9961881279 10212638016 10283232288 10395006552 11010500361 11185270208 11365677792 11385007176 11502378384 11880007488 11997104336 12127507644 12362667072 12583428984 13282508372 13496742378 13860008736 14381061696 14680667148 15180009568 15318957024 15336504512 15424848432 16170010192 16777905312 17077510764 17253567576 17995656504 18191261466 18544000608 18778076352 19574222864 19718362944 19923762558 20566464576 20790013104 22021000722 22731355584 22770014352 23004756768 23244389651 23994208672 24255015288 25166857968 26565016744 26993484756 27720017472 29361334296 29885643837 30360019136 30637914048 30849696864 32340020384 33555810624 34155021528 34507135152 35991313008 36382522932 37088001216 39148445728 39847525116 41580026208 44042001444 45540028704 46009513536 46488779302 47988417344 48510030576 50333715936 53130033488 53986969512 58722668592 59771287674 61699393728 64680040768 68310043056 69014270304 69733168953 71982626016 72765045864 78296891456 79695050232 83160052416 88084002888 91080057408 92977558604 97020061152 100667431872 106260066976 107973939024 117445337184 119542575348 136620086112 138028540608 139466337906 143965252032 145530091728 159390100464 176168005776 185955117208 194040122304 209199506859 212520133952 215947878048 234890674368 239085150696 273240172224 278932675812 291060183456 318780200928 352336011552 371910234416 418399013718 431895756096 478170301392 557865351624 582120366912 637560401856 704672023104 743820468832 836798027436 956340602784 1115730703248 1487640937664 1673596054872 1912681205568 2231461406496 3347192109744 4462922812992 6694384219488 13388768438976
- Sum of all divisors σ(n): 51279973355520
- Sum of proper divisors (its aliquot sum) s(n): 37891204916544
- 13388768438976 is an abundant number, because the sum of its proper divisors (37891204916544) is greater than itself. Its abundance is 24502436477568
Bases of 13388768438976
- Binary: 110000101101010100001100100101101010110000002
- Hexadecimal: 0xC2D50C96AC0
- Base-36: 4QUPR1GW0
Squares and roots of 13388768438976
- 13388768438976 squared (133887684389762) is 179259120312519835835928576
- 13388768438976 cubed (133887684389763) is 2400058852438867175714041224546950578176
-
The
square root of 13388768438976 is 3659066.6076167567 -
The
cube root of 13388768438976 is 23745.4393837127
Scales and comparisons
How big is 13388768438976?- 13,388,768,438,976 seconds is equal to 425,721 years, 21 weeks, 6 days, 16 hours, 9 minutes, 36 seconds.
-
To count from 1 to 13,388,768,438,976 would take you about one million, sixty-four thousand, three hundred three 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 13388768438976 cubic inches would be around 1978.8 feet tall.
Recreational maths with 13388768438976
- 13388768438976 backwards is 67983486788331
- The number of decimal digits it has is: 14
- The sum of 13388768438976's digits is 81
- More coming soon!
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"Number 13388768438976 - Facts about the integer". Numbermatics.com. 2024. Web. 25 May 2024.
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Numbermatics. (2024). Number 13388768438976 - Facts about the integer. Retrieved 25 May 2024, from https://numbermatics.com/n/13388768438976/
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The information we have on file for 13388768438976 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!
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