13008197918688
13,008,197,918,688 is an even composite number composed of eight prime numbers multiplied together.
What does the number 13008197918688 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1152 divisors.
13008197918688 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 13008197918688:
25 × 3 × 72 × 17 × 41 × 61 × 193 × 337
(2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 17 × 41 × 61 × 193 × 337)See below for interesting mathematical facts about the number 13008197918688 from the Numbermatics database.
Names of 13008197918688
- Cardinal: 13008197918688 can be written as Thirteen trillion, eight billion, one hundred ninety-seven million, nine hundred eighteen thousand, six hundred eighty-eight.
Scientific notation
- Scientific notation: 1.3008197918688 × 1013
Factors of 13008197918688
Divisors of 13008197918688
- Number of divisors d(n): 1152
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Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 41 42 48 49 51 56 61 68 82 84 96 98 102 112 119 122 123 136 147 164 168 183 193 196 204 224 238 244 246 272 287 294 328 336 337 357 366 386 392 408 427 476 488 492 544 574 579 588 656 672 674 697 714 732 772 784 816 833 854 861 952 976 984 1011 1037 1148 1158 1176 1281 1312 1348 1351 1394 1428 1464 1544 1568 1632 1666 1708 1722 1904 1952 1968 2009 2022 2074 2091 2296 2316 2352 2359 2499 2501 2562 2696 2702 2788 2856 2928 2989 3088 3111 3281 3332 3416 3444 3808 3936 4018 4044 4053 4148 4182 4592 4632 4704 4718 4879 4998 5002 5124 5392 5404 5576 5712 5729 5856 5978 6027 6176 6222 6562 6664 6832 6888 7077 7259 7503 7913 8036 8088 8106 8296 8364 8967 9184 9264 9436 9457 9758 9843 9996 10004 10248 10784 10808 11152 11424 11458 11773 11956 12054 12444 13124 13328 13664 13776 13817 14154 14518 14637 15006 15826 16072 16176 16212 16513 16592 16728 17187 17507 17934 18528 18872 18914 19516 19686 19992 20008 20496 20557 21616 21777 22304 22916 22967 23546 23739 23912 24108 24888 26248 26656 27552 27634 28308 28371 29036 29274 30012 31652 32144 32352 32424 33026 33184 33456 34153 34374 35014 35319 35868 37744 37828 39032 39372 39984 40016 40103 40992 41114 41451 42517 43232 43554 45832 45934 47092 47478 47824 48216 49539 49776 50813 52496 52521 55268 55391 56616 56742 58072 58548 60024 61671 63304 64288 64848 65041 66052 66912 68306 68748 68901 70028 70638 71736 75488 75656 78064 78744 79968 80032 80206 82228 82411 82902 85034 87108 91664 91868 94184 94956 95648 96432 96719 99078 99552 101626 102459 104992 105042 110536 110782 113232 113484 116144 117096 120048 120309 122549 123342 126608 127551 129696 130082 132104 134521 136612 137496 137802 140056 141276 143472 143899 151312 152439 156128 157488 160412 160769 164456 164822 165804 166173 170068 174216 183328 183736 188368 189912 192864 193438 195123 198156 200141 203252 204918 210084 221072 221564 226464 226968 232288 234192 234889 240096 240618 245098 246684 247233 253216 255102 260164 264208 269042 273224 274992 275604 280112 280721 282552 286944 287798 290157 297619 302624 304878 314976 320824 321538 328912 329644 331608 332346 340136 348432 349469 367472 367647 376736 379824 386876 387737 390246 396312 400282 403563 406504 409836 420168 431697 442144 443128 453936 455287 468384 469778 481236 482307 482693 490196 493368 494466 510204 520328 528416 538084 546448 549984 551208 560224 561442 565104 575596 576877 580314 595238 600423 609756 641648 643076 657824 659288 663216 664692 677033 680272 696864 698938 704667 734944 735294 759648 773752 775474 780492 792624 800564 807126 813008 819672 840336 842163 842837 863394 886256 892857 907872 910574 939556 941647 962472 964614 965386 980392 986736 988932 1007293 1020408 1040656 1048407 1076168 1092896 1102416 1105697 1122884 1130208 1151192 1153754 1160628 1163211 1190476 1200846 1219512 1283296 1286152 1318576 1326432 1329384 1354066 1360544 1365861 1397876 1400987 1409334 1448079 1470588 1547504 1550948 1560984 1585248 1601128 1614252 1626016 1639344 1644223 1680672 1684326 1685674 1726788 1730631 1772512 1785714 1821148 1879112 1883294 1924944 1929228 1930772 1960784 1973472 1977864 2014586 2031099 2040816 2081312 2083333 2096814 2152336 2204832 2211394 2245768 2302384 2307508 2321256 2326422 2380952 2401692 2439024 2446283 2528511 2572304 2637152 2658768 2666681 2708132 2731722 2795752 2801974 2818668 2824941 2896158 2941176 3021879 3095008 3101896 3121968 3187009 3202256 3228504 3278688 3288446 3317091 3368652 3371348 3378851 3453576 3461262 3571428 3642296 3758224 3766588 3849888 3858456 3861544 3921568 3955728 3967501 4029172 4062198 4081632 4166666 4193628 4202961 4304672 4422788 4491536 4604768 4615016 4642512 4652844 4761904 4803384 4878048 4892566 4932669 5057022 5144608 5317536 5333362 5416264 5463444 5591504 5603948 5637336 5649882 5792316 5882352 5899859 6043758 6203792 6243936 6249999 6374018 6404512 6457008 6576892 6591529 6634182 6737304 6742696 6757702 6907152 6922524 7142856 7284592 7338849 7516448 7533176 7716912 7723088 7739879 7911456 7935002 8000043 8058344 8124396 8205781 8333332 8387256 8405922 8845576 8983072 9230032 9285024 9305688 9523808 9561027 9606768 9785132 9806909 9865338 10114044 10136553 10666724 10832528 10926888 11183008 11207896 11274672 11299764 11509561 11584632 11764704 11799718 11902503 12087516 12407584 12499998 12748036 12914016 13153784 13183058 13268364 13474608 13485392 13515404 13814304 13845048 14285712 14328229 14569184 14677698 15066352 15433824 15446176 15479758 15870004 16000086 16116688 16248792 16411562 16666664 16774512 16811844 17123981 17691152 17699577 18460064 18611376 18666767 19122054 19213536 19570264 19613818 19730676 19774587 20228088 20273106 21333448 21665056 21853776 22415792 22549344 22599528 23019122 23169264 23219637 23599436 23651957 23805006 24175032 24617343 24999996 25496072 26307568 26366116 26536728 26949216 26970784 27030808 27690096 27772507 28571424 28656458 29355396 29420727 30132704 30959516 31740008 32000172 32233376 32497584 32823124 33333328 33549024 33623688 34247962 34528683 35382304 35399154 37222752 37333534 38244108 39140528 39227636 39461352 39549174 40456176 40546212 41299013 42666896 42984687 43707552 44831584 45199056 45333577 46038244 46338528 46439274 47198872 47303914 47610012 48350064 49234686 49999992 50992144 51371943 52615136 52732232 53073456 54061616 54179153 55380192 55545014 56000301 57312916 57440467 58710792 58841454 61919032 63480016 64000344 64995168 65646248 66666656 67247376 67447517 68495924 69057366 70798308 70955871 74667068 76488216 78281056 78455272 78922704 79098348 80912352 81092424 82598026 83317521 85333792 85969374 90398112 90667154 92076488 92878548 94397744 94607828 95220024 96700128 98469372 99999984 100297603 101984288 102743886 105464464 106146912 108123232 108358306 111090028 112000602 114625832 114880934 117421584 117682908 123838064 123897039 126960032 128000688 130667369 131292496 134494752 134895034 136000731 136991848 138114732 141596616 141911742 149334136 152976432 156910544 157845408 158196696 162184848 162537459 162667541 165196052 166635042 171938748 172321401 181334308 184152976 185757096 188795488 189215656 190440048 194407549 196938744 199999968 200595206 202342551 205487772 210928928 216716612 222180056 224001204 229251664 229761868 234843168 235365816 247676128 247794078 256001376 261334738 262584992 269790068 272001462 273983696 276229464 283193232 283823484 298668272 300892809 305952864 313821088 316393392 317335039 324369696 325074918 325335082 330392104 333270084 343877496 344642802 362668616 368305952 371514192 378431312 380880096 388815098 392002107 393877488 401190412 402083269 404685102 410975544 433433224 444360112 448002408 458503328 459523736 470731632 472132619 488002623 495588156 522669476 539580136 544002924 547967392 552458928 566386464 567646968 583222647 597336544 601785618 632786784 634670078 650149836 650670164 660784208 666540168 687754992 689285604 702083221 725337232 743028384 756862624 777630196 784004214 787754976 802380824 804166538 809370204 821951088 866866448 888720224 896004816 919047472 941463264 944265238 952005117 976005246 991176312 1045338952 1079160272 1088005848 1104917856 1135293936 1138672787 1166445294 1203571236 1206249807 1269340156 1300299672 1301340328 1321568416 1333080336 1375509984 1378571208 1404166442 1416397857 1450674464 1555260392 1568008428 1604761648 1608333076 1618740408 1643902176 1733732896 1792009632 1838094944 1888530476 1904010234 1952010492 1982352624 2090677904 2106249663 2158320544 2176011696 2221345273 2270587872 2277345574 2332890588 2407142472 2412499614 2538680312 2600599344 2602680656 2666160672 2757142416 2765348197 2808332884 2832795714 3110520784 3136016856 3209523296 3216666152 3237480816 3304928333 3416018361 3777060952 3808020468 3904020984 3964705248 4181355808 4212499326 4352023392 4442690546 4554691148 4665781176 4814284944 4824999228 5077360624 5201198688 5205361312 5514284832 5530696394 5616665768 5665591428 6221041568 6272033712 6433332304 6474961632 6609856666 6664035819 6832036722 7554121904 7616040936 7808041968 7970709509 8296044591 8424998652 8885381092 9109382296 9331562352 9628569888 9649998456 9914784999 10154721248 11061392788 11233331536 11331182856 12544067424 12866664608 13219713332 13328071638 13664073444 15108243808 15232081872 15616083936 15941419018 16592089182 16849997304 17770762184 18218764592 18663124704 19299996912 19357437379 19829569998 22122785576 22466663072 22662365712 23912128527 26439426664 26656143276 27328146888 30464163744 31882838036 33184178364 33699994608 35541524368 36437529184 38599993824 38714874758 39659139996 44245571152 45324731424 47824257054 52878853328 53312286552 54656293776 58072312137 63765676072 66368356728 67399989216 71083048736 77429749516 79318279992 88491142304 95648514108 105757706656 106624573104 109312587552 116144624274 127531352144 132736713456 135502061653 154859499032 158636559984 191297028216 213249146208 232289248548 255062704288 265473426912 271004123306 309718998064 317273119968 382594056432 406506184959 464578497096 542008246612 619437996128 765188112864 813012369918 929156994192 1084016493224 1626024739836 1858313988384 2168032986448 3252049479672 4336065972896 6504098959344 13008197918688
- Sum of all divisors σ(n): 44147621621376
- Sum of proper divisors (its aliquot sum) s(n): 31139423702688
- 13008197918688 is an abundant number, because the sum of its proper divisors (31139423702688) is greater than itself. Its abundance is 18131225784000
Bases of 13008197918688
- Binary: 101111010100101101010000010000011111111000002
- Hexadecimal: 0xBD4B5041FE0
- Base-36: 4LZVT6G2O
Squares and roots of 13008197918688
- 13008197918688 squared (130081979186882) is 169213213091758815059641344
- 13008197918688 cubed (130081979186883) is 2201158966354726051624103641608555036672
-
The
square root of 13008197918688 is 3606687.9430702067 -
The
cube root of 13008197918688 is 23518.2884156979
Scales and comparisons
How big is 13008197918688?- 13,008,197,918,688 seconds is equal to 413,620 years, 23 weeks, 5 days, 6 hours, 44 minutes, 48 seconds.
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To count from 1 to 13,008,197,918,688 would take you about one million, thirty-four thousand and fifty-one 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 13008197918688 cubic inches would be around 1959.9 feet tall.
Recreational maths with 13008197918688
- 13008197918688 backwards is 88681979180031
- The number of decimal digits it has is: 14
- The sum of 13008197918688's digits is 69
- More coming soon!
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The information we have on file for 13008197918688 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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