13468384422938016
13,468,384,422,938,016 is an even composite number composed of six prime numbers multiplied together.
13468384422938016 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 13468384422938016:
25 × 33 × 11 × 13 × 173 × 2813
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 11 × 13 × 17 × 17 × 17 × 281 × 281 × 281)See below for interesting mathematical facts about the number 13468384422938016 from the Numbermatics database.
Names of 13468384422938016
- Cardinal: 13468384422938016 can be written as Thirteen quadrillion, four hundred sixty-eight trillion, three hundred eighty-four billion, four hundred twenty-two million, nine hundred thirty-eight thousand and sixteen.
Scientific notation
- Scientific notation: 1.3468384422938016 × 1016
Factors of 13468384422938016
Divisors of 13468384422938016
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 17 18 22 24 26 27 32 33 34 36 39 44 48 51 52 54 66 68 72 78 88 96 99 102 104 108 117 132 136 143 144 153 156 176 187 198 204 208 216 221 234 264 272 281 286 288 289 297 306 312 351 352 374 396 408 416 429 432 442 459 468 528 544 561 562 572 578 594 612 624 663 702 748 792 816 843 858 864 867 884 918 936 1056 1122 1124 1144 1156 1188 1224 1248 1287 1326 1404 1496 1584 1632 1683 1686 1716 1734 1768 1836 1872 1989 2244 2248 2288 2312 2376 2431 2448 2529 2574 2601 2652 2808 2992 3091 3168 3179 3366 3372 3432 3468 3536 3653 3672 3744 3757 3861 3978 4488 4496 4576 4624 4752 4777 4862 4896 4913 5049 5058 5148 5202 5304 5616 5967 5984 6182 6358 6732 6744 6864 6936 7072 7293 7306 7344 7514 7587 7722 7803 7956 8976 8992 9248 9273 9504 9537 9554 9724 9826 10098 10116 10296 10404 10608 10959 11232 11271 11934 12364 12716 13464 13488 13728 13872 14331 14586 14612 14688 14739 15028 15174 15444 15606 15912 17952 18546 19074 19108 19448 19652 20196 20232 20592 20808 21216 21879 21918 22542 23868 24728 25432 26928 26976 27744 27819 28611 28662 29172 29224 29478 30056 30348 30888 31212 31824 32877 33813 37092 38148 38216 38896 39304 40183 40392 40464 41184 41327 41616 42993 43758 43836 44217 45084 47736 49456 50864 52547 53856 54043 55638 57222 57324 58344 58448 58956 60112 60696 61776 62101 62424 63648 63869 65637 65754 67626 74184 76296 76432 77792 78608 78961 80366 80784 80928 81209 82654 83232 83457 85833 85986 87516 87672 88434 90168 95472 98631 98912 101439 101728 105094 108086 111276 114444 114648 116688 116896 117912 120224 120549 121392 123552 123981 124202 124848 127738 128979 131274 131508 132651 135252 148368 152592 152864 157216 157641 157922 160732 161568 162129 162418 165308 166914 171666 171972 175032 175344 176868 180336 186303 190944 191607 197262 202878 210188 216172 222552 228888 229296 233376 235824 236883 241098 242784 243627 247962 248404 249696 255476 257958 262548 263016 265302 270504 296736 305184 315282 315844 321464 324258 324836 330616 333828 343332 343944 350064 350688 353736 360672 361647 371943 372606 383214 394524 405756 420376 432344 445104 457776 458592 471648 472923 473766 482196 486387 487254 495924 496808 510952 515916 525096 526032 530604 541008 558909 574821 630564 631688 642928 648516 649672 661232 667656 683111 686664 687888 700128 702559 707472 710649 723294 730881 743886 745212 766428 789048 811512 840752 864688 868571 890208 893299 915552 945846 947532 964392 972774 974508 991848 993616 1021904 1026493 1031832 1050192 1052064 1055717 1061208 1082016 1084941 1115829 1117818 1149642 1261128 1263376 1285856 1297032 1299344 1322464 1335312 1342337 1366222 1373328 1375776 1380553 1405118 1414944 1418769 1421298 1446588 1459161 1461762 1487772 1490424 1532856 1578096 1623024 1676727 1681504 1724463 1729376 1737142 1786598 1891692 1895064 1928784 1945548 1949016 1983696 1987232 2043808 2049333 2052986 2063664 2100384 2107677 2111434 2122416 2131947 2169882 2192643 2231658 2235636 2299284 2522256 2526752 2594064 2598688 2605713 2670624 2679897 2684674 2732444 2746656 2761106 2810236 2837538 2842596 2893176 2918322 2923524 2975544 2980848 3065712 3079479 3156192 3167151 3246048 3353454 3448926 3474284 3573196 3783384 3790128 3857568 3891096 3898032 3967392 4027011 4098666 4105972 4127328 4141659 4215354 4222868 4244832 4263894 4339764 4385286 4463316 4471272 4598568 5044512 5188128 5211426 5359794 5369348 5464888 5522212 5620472 5675076 5685192 5786352 5836644 5847048 5951088 5961696 6131424 6147999 6158958 6323031 6334302 6706908 6897852 6948568 7146392 7566768 7580256 7782192 7796064 7817139 8039691 8054022 8197332 8211944 8283318 8430708 8445736 8527788 8679528 8770572 8926632 8942544 9197136 9238437 9501453 10422852 10719588 10738696 10929776 11044424 11240944 11291423 11350152 11370384 11572704 11612887 11673288 11694096 11902176 12081033 12295998 12317916 12424977 12646062 12668604 13413816 13795704 13897136 14292784 14765707 15133536 15186083 15564384 15634278 16079382 16108044 16394664 16423888 16566636 16861416 16891472 17055576 17359056 17450381 17541144 17853264 17885088 17947189 18394272 18443997 18476874 18969093 19002906 20845704 21439176 21477392 21859552 22088848 22188041 22481888 22582846 22700304 22740768 22819729 23225774 23346576 23388192 23451417 24119073 24162066 24591996 24635832 24849954 25292124 25337208 26827632 27591408 27715311 27794272 28504359 28585568 29531414 30372166 31268556 32158764 32216088 32789328 32847776 33133272 33722832 33782944 33874269 34111152 34718112 34838661 34900762 35082288 35706528 35894378 36243099 36887994 36953748 37274931 37938186 38005812 41691408 42878352 42954784 44177696 44297121 44376082 45165692 45400608 45558249 45639458 46451548 46693152 46902834 48238146 48324132 49183992 49271664 49699908 50584248 50674416 52351143 53655264 53841567 55182816 55430622 57008718 59062828 60744332 62537112 64317528 64432176 65578656 66266544 66564123 67445664 67748538 68222304 68459187 69677322 69801524 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1370688420816 1385066271384 1409711578704 1412224433568 1417127990629 1452430111392 1456356447117 1497818552373 1500488460666 1692858776136 1726052085472 1744157526928 1775192358368 1792438704144 1833930340814 1843468987536 1846755028512 1904466123153 1941808596156 1962177217794 1997091403164 2000651280888 2118336650352 2178645167088 2250732690999 2257145034848 2398216599526 2539288164204 2589078128208 2616236290392 2662788537552 2667535041184 2741376841632 2750895511221 2770132542768 2819423157408 2834255981258 2912712894234 2943265826691 2995637104746 3000976921332 3385717552272 3488315053856 3584877408288 3597324899289 3667860681628 3686937975072 3808932246306 3883617192312 3924354435588 3994182806328 4001302561776 4236673300704 4251383971887 4357290334176 4501465381998 4796433199052 5078576328408 5178156256416 5232472580784 5325577075104 5501791022442 5540265085536 5668511962516 5825425788468 5886531653382 5991274209492 6001953842664 6771435104544 7194649798578 7335721363256 7617864492612 7767234384624 7848708871176 7988365612656 8002605123552 8252686533663 8502767943774 9002930763996 9592866398104 10157152656816 10464945161568 10791974697867 11003582044884 11337023925032 11650851576936 11773063306764 11982548418984 12003907685328 12754151915661 14389299597156 14671442726512 15235728985224 15534468769248 15588407896919 15697417742352 15976731225312 16505373067326 17005535887548 18005861527992 19185732796208 20314305313632 21583949395734 22007164089768 22674047850064 23301703153872 23546126613528 23965096837968 24007815370656 24758059600989 25508303831322 28778599194312 29342885453024 30471457970448 31176815793838 31394835484704 32375924093601 33010746134652 34011071775096 36011723055984 38262455746983 38371465592416 43167898791468 44014328179536 45348095700128 46603406307744 46765223690757 47092253227056 47930193675936 49516119201978 51016607662644 57557198388624 60942915940896 62353631587676 64751848187202 66021492269304 68022143550192 72023446111968 76524911493966 86335797582936 88028656359072 93530447381514 94184506454112 99032238403956 102033215325288 115114396777248 124707263175352 129503696374404 132042984538608 136044287100384 140295671072271 153049822987932 172671595165872 187060894763028 198064476807912 204066430650576 249414526350704 259007392748808 264085969077216 280591342144542 306099645975864 345343190331744 374121789526056 396128953615824 408132861301152 420887013216813 498829052701408 518014785497616 561182684289084 612199291951728 748243579052112 792257907231648 841774026433626 1036029570995232 1122365368578168 1224398583903456 1496487158104224 1683548052867252 2244730737156336 3367096105734504 4489461474312672 6734192211469008 13468384422938016
- Sum of all divisors σ(n): 49209343789132800
- Sum of proper divisors (its aliquot sum) s(n): 35740959366194784
- 13468384422938016 is an abundant number, because the sum of its proper divisors (35740959366194784) is greater than itself. Its abundance is 22272574943256768
Bases of 13468384422938016
- Binary: 1011111101100101101100100111010011101001000101101000002
- Hexadecimal: 0x2FD96C9D3A45A0
- Base-36: 3OM56DY1BC0
Squares and roots of 13468384422938016
- 13468384422938016 squared (134683844229380162) is 181397378964039394248853378016256
- 13468384422938016 cubed (134683844229380163) is 2443129633201052319521905604271952023397328388096
-
The
square root of 13468384422938016 is 116053368.8564791987 -
The
cube root of 13468384422938016 is 237924.1362078937
Scales and comparisons
How big is 13468384422938016?- 13,468,384,422,938,016 seconds is equal to 428,252,964 years, 10 weeks, 3 days, 4 hours, 33 minutes, 36 seconds.
-
To count from 1 to 13,468,384,422,938,016 would take you about one billion, two hundred eighty-four million, seven hundred fifty-eight thousand, eight hundred ninety-two 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 13468384422938016 cubic inches would be around 19827 feet tall.
Recreational maths with 13468384422938016
- 13468384422938016 backwards is 61083922448386431
- 13468384422938016 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13468384422938016's digits is 72
- More coming soon!
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"Number 13468384422938016 - Facts about the integer". Numbermatics.com. 2024. Web. 22 September 2024.
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Numbermatics. (2024). Number 13468384422938016 - Facts about the integer. Retrieved 22 September 2024, from https://numbermatics.com/n/13468384422938016/
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The information we have on file for 13468384422938016 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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