13006271944166688
13,006,271,944,166,688 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13006271944166688 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 864 divisors.
13006271944166688 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 13006271944166688:
25 × 32 × 11 × 19 × 312 × 43 × 5229043
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 11 × 19 × 31 × 31 × 43 × 5229043)See below for interesting mathematical facts about the number 13006271944166688 from the Numbermatics database.
Names of 13006271944166688
- Cardinal: 13006271944166688 can be written as Thirteen quadrillion, six trillion, two hundred seventy-one billion, nine hundred forty-four million, one hundred sixty-six thousand, six hundred eighty-eight.
Scientific notation
- Scientific notation: 1.3006271944166688 × 1016
Factors of 13006271944166688
Divisors of 13006271944166688
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 19 22 24 31 32 33 36 38 43 44 48 57 62 66 72 76 86 88 93 96 99 114 124 129 132 144 152 171 172 176 186 198 209 228 248 258 264 279 288 304 341 342 344 352 372 387 396 418 456 473 496 516 528 558 589 608 627 682 684 688 744 774 792 817 836 912 946 961 992 1023 1032 1056 1116 1178 1254 1333 1364 1368 1376 1419 1488 1548 1584 1634 1672 1767 1824 1881 1892 1922 2046 2064 2232 2356 2451 2508 2666 2728 2736 2838 2883 2976 3069 3096 3168 3268 3344 3534 3762 3784 3844 3999 4092 4128 4257 4464 4712 4902 5016 5301 5332 5456 5472 5676 5766 6138 6192 6479 6536 6688 7068 7353 7524 7568 7688 7998 8184 8514 8649 8928 8987 9424 9804 10032 10571 10602 10664 10912 11352 11532 11997 12276 12384 12958 13072 14136 14663 14706 15048 15136 15376 15996 16368 17028 17298 17974 18259 18848 19437 19608 20064 21142 21204 21328 22704 23064 23994 24552 25327 25916 26144 26961 28272 29326 29412 30096 30752 31713 31992 32736 34056 34596 35948 36518 38874 39216 41323 42284 42408 42656 43989 45408 46128 47988 49104 50654 51832 53922 54777 56544 58311 58652 58824 60192 63426 63984 68112 69192 71896 73036 75981 77748 78432 80883 82646 84568 84816 87978 92256 95139 95976 98208 101308 103664 107844 109554 116622 117304 117648 123969 126852 127968 131967 136224 138384 143792 146072 151962 155496 161766 164331 165292 169136 169632 175956 190278 191952 200849 202616 207328 215688 219108 227943 233244 234608 235296 247938 253704 263934 276768 278597 287584 292144 303924 310992 323532 328662 330584 338272 351912 371907 380556 383904 401698 405232 431376 438216 454553 455886 466488 469216 495876 507408 527868 557194 584288 602547 607848 621984 647064 657324 661168 703824 743814 761112 785137 803396 810464 835791 862752 876432 909106 911772 932976 991752 1014816 1055736 1114388 1205094 1215696 1294128 1314648 1322336 1363659 1407648 1487628 1522224 1570274 1606792 1671582 1752864 1807641 1818212 1823544 1865952 1983504 2111472 2228776 2355411 2410188 2431392 2507373 2588256 2629296 2727318 2975256 3044448 3140548 3213584 3343164 3615282 3636424 3647088 3967008 4090977 4222944 4457552 4710822 4820376 5014746 5229043 5258592 5454636 5950512 6281096 6427168 6686328 7066233 7230564 7272848 7294176 8181954 8636507 8915104 9421644 9640752 10029492 10458086 10909272 11901024 12562192 13372656 14132466 14461128 14545696 15687129 16363908 17273014 18843288 19281504 20058984 20916172 21818544 25124384 25909521 26745312 28264932 28922256 31374258 32727816 34546028 37686576 40117968 41832344 43637088 47061387 51819042 56529864 57519473 57844512 62748516 65455632 69092056 75373152 77728563 80235936 83664688 94122774 99351817 103638084 113059728 115038946 125497032 130911264 138184112 155457126 162100333 167329376 172558419 188245548 198703634 207276168 224848849 226119456 230077892 250994064 276368224 298055451 310914252 324200666 345116838 376491096 397407268 414552336 449697698 460155784 486300999 501988128 517675257 596110902 621828504 648401332 674546547 690233676 752982192 794814536 829104672 894166353 899395396 920311568 972601998 1035350514 1092869987 1192221804 1243657008 1296802664 1349093094 1380467352 1458902997 1505964384 1589629072 1783103663 1788332706 1798790792 1840623136 1945203996 2023639641 2070701028 2185739974 2384443608 2473337339 2487314016 2593605328 2698186188 2760934704 2917805994 3079906327 3179258144 3278609961 3566207326 3576665412 3597581584 3890407992 4047279282 4141402056 4272128131 4371479948 4768887216 4946674678 5025110323 5187210656 5349310989 5396372376 5521869408 5835611988 6159812654 6557219922 6970314319 7132414652 7153330824 7195163168 7420012017 7780815984 8094558564 8282804112 8544256262 8742959896 9239718981 9537774432 9835829883 9893349356 10050220646 10698621978 10792744752 11671223976 12319625308 12816384393 13114439844 13940628638 14264829304 14306661648 14840024034 15075330969 15561631968 16047932967 16189117128 16565608224 17088512524 17485919792 18479437962 19671659766 19786698712 20100441292 20910942957 21397243956 21585489504 22260036051 23342447952 24639250616 25632768786 26228879688 27719156943 27881257276 28529658608 28613323296 29680048068 30150661938 32095865934 32378234256 33878969597 34177025048 34971839584 36958875924 38449153179 39343319532 39573397424 40200882584 41821885914 42794487912 44520072102 45225992907 46684895904 46993409441 49278501232 51265537572 52457759376 55276213553 55438313886 55762514552 57059317216 59360096136 60301323876 62732828871 64191731868 64756468512 67757939194 68354050096 73917751848 76673457509 76898306358 78686639064 79146794848 80401765168 83643771828 85588975824 89040144204 90451985814 93986818882 95477096137 98557002464 101636908791 102531075144 104915518752 110552427106 110876627772 111525029104 118720192272 120602647752 125465657742 128383463736 132435972061 135515878388 136708100192 140980228323 147835503696 153346915018 153796612716 157373278128 160803530336 165828640659 167287543656 171177951648 178080288408 180903971628 187973637764 190954192274 203273817582 205062150288 216079743889 221104854212 221753255544 223050058208 230020372527 237440384544 241205295504 250931315484 256766927472 264871944122 271031756776 281960456646 286431288411 295671007392 304910726373 306693830036 307593225432 314746556256 331657281318 334575087312 356160576816 361807943256 375947275528 381908384548 397307916183 406547635164 410124300576 422940684969 432159487778 442209708424 443506511088 460040745054 482410591008 497485921977 501862630968 513533854944 529743888244 542063513552 563920913292 572862576822 609821452746 613387660072 615186450864 648239231667 663314562636 669150174624 690061117581 712321153632 723615886512 751894551056 763816769096 794615832366 813095270328 845881369938 859293865233 864318975556 884419416848 887013022176 920081490108 994971843954 1003725261936 1050248057507 1059487776488 1084127027104 1127841826584 1145725153644 1191923748549 1219642905492 1226775320144 1230372901728 1296478463334 1326629125272 1380122235162 1447231773024 1456795692671 1503789102112 1527633538192 1589231664732 1626190540656 1691762739876 1718587730466 1728637951112 1768838833696 1840162980216 1944717695001 1989943687908 2007450523872 2100496115014 2118975552976 2255683653168 2291450307288 2376877182779 2383847497098 2439285810984 2453550640288 2592956926668 2653258250544 2760244470324 2913591385342 3055267076384 3150744172521 3178463329464 3252381081312 3383525479752 3437175460932 3457275902224 3680325960432 3889435390002 3979887375816 4105515133891 4200992230028 4237951105952 4370387078013 4511367306336 4582900614576 4753754365558 4767694994196 4878571621968 5185913853336 5306516501088 5520488940648 5827182770684 6301488345042 6356926658928 6767050959504 6874350921864 6914551804448 7130631548337 7360651920864 7778870780004 7959774751632 8211030267782 8401984460056 8740774156026 9165801229152 9452232517563 9507508731116 9535389988392 9757143243936 10371827706672 11040977881296 11654365541368 12316545401673 12602976690084 12713853317856 13111161234039 13534101919008 13748701843728 14261263096674 15557741560008 15919549503264 16422060535564 16803968920112 17481548312052 18904465035126 19015017462232 19070779976784 20743655413344 21391894645011 22081955762592 23308731082736 24633090803346 25205953380168 26222322468078 27497403687456 28522526193348 31115483120016 32844121071128 33607937840224 34963096624104 36949636205019 37808930070252 38030034924464 38141559953568 42783789290022 45160666472801 46617462165472 49266181606692 50411906760336 52444644936156 57045052386696 62230966240032 65688242142256 69926193248208 73899272410038 75617860140504 76060069848928 85567578580044 90321332945602 98532363213384 100823813520672 104889289872312 114090104773392 131376484284512 135481999418403 139852386496416 147798544820076 151235720281008 171135157160088 180642665891204 197064726426768 209778579744624 228180209546784 270963998836806 295597089640152 302471440562016 342270314320176 361285331782408 394129452853536 406445998255209 419557159489248 541927997673612 591194179280304 684540628640352 722570663564816 812891996510418 1083855995347224 1182388358560608 1445141327129632 1625783993020836 2167711990694448 3251567986041672 4335423981388896 6503135972083344 13006271944166688
- Sum of all divisors σ(n): 44907550266458880
- Sum of proper divisors (its aliquot sum) s(n): 31901278322292192
- 13006271944166688 is an abundant number, because the sum of its proper divisors (31901278322292192) is greater than itself. Its abundance is 18895006378125504
Bases of 13006271944166688
- Binary: 1011100011010100100010101010110001010110001101001000002
- Hexadecimal: 0x2E3522AB158D20
- Base-36: 3K2C6UFKEG0
Squares and roots of 13006271944166688
- 13006271944166688 squared (130062719441666882) is 169163109885617518051630728889344
- 13006271944166688 cubed (130062719441666883) is 2200181410093293634610452105450735370701842972672
-
The
square root of 13006271944166688 is 114045043.4879424649 -
The
cube root of 13006271944166688 is 235171.2766409073
Scales and comparisons
How big is 13006271944166688?- 13,006,271,944,166,688 seconds is equal to 413,559,216 years, 40 weeks, 5 days, 8 hours, 4 minutes, 48 seconds.
-
To count from 1 to 13,006,271,944,166,688 would take you about one billion, two hundred forty million, six hundred seventy-seven thousand, six hundred fifty 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 13006271944166688 cubic inches would be around 19597.6 feet tall.
Recreational maths with 13006271944166688
- 13006271944166688 backwards is 88666144917260031
- 13006271944166688 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13006271944166688's digits is 72
- 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 13006271944166688 - Facts about the integer". Numbermatics.com. 2024. Web. 22 May 2024.
APA style:
Numbermatics. (2024). Number 13006271944166688 - Facts about the integer. Retrieved 22 May 2024, from https://numbermatics.com/n/13006271944166688/
Chicago style:
Numbermatics. 2024. "Number 13006271944166688 - Facts about the integer". https://numbermatics.com/n/13006271944166688/
The information we have on file for 13006271944166688 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 13006271944166688, math, Factors of 13006271944166688, curriculum, school, college, exams, university, Prime factorization of 13006271944166688, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, six trillion, two hundred seventy-one billion, nine hundred forty-four million, one hundred sixty-six thousand, six hundred eighty-eight.