13148214168960
13,148,214,168,960 is an even composite number composed of seven prime numbers multiplied together.
13148214168960 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 13148214168960:
27 × 32 × 5 × 132 × 17 × 97 × 8191
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 13 × 13 × 17 × 97 × 8191)See below for interesting mathematical facts about the number 13148214168960 from the Numbermatics database.
Names of 13148214168960
- Cardinal: 13148214168960 can be written as Thirteen trillion, one hundred forty-eight billion, two hundred fourteen million, one hundred sixty-eight thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.314821416896 × 1013
Factors of 13148214168960
Divisors of 13148214168960
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 17 18 20 24 26 30 32 34 36 39 40 45 48 51 52 60 64 65 68 72 78 80 85 90 96 97 102 104 117 120 128 130 136 144 153 156 160 169 170 180 192 194 195 204 208 221 234 240 255 260 272 288 291 306 312 320 338 340 360 384 388 390 408 416 442 468 480 485 507 510 520 544 576 582 585 612 624 640 663 676 680 720 765 776 780 816 832 845 873 884 936 960 970 1014 1020 1040 1088 1105 1152 1164 1170 1224 1248 1261 1326 1352 1360 1440 1455 1521 1530 1552 1560 1632 1649 1664 1690 1746 1768 1872 1920 1940 1989 2028 2040 2080 2176 2210 2328 2340 2448 2496 2522 2535 2652 2704 2720 2873 2880 2910 3042 3060 3104 3120 3264 3298 3315 3380 3492 3536 3744 3783 3880 3978 4056 4080 4160 4365 4420 4656 4680 4896 4947 4992 5044 5070 5304 5408 5440 5746 5760 5820 6084 6120 6208 6240 6305 6528 6596 6630 6760 6984 7072 7488 7566 7605 7760 7956 8112 8160 8191 8245 8320 8619 8730 8840 9312 9360 9792 9894 9945 10088 10140 10608 10816 10880 11349 11492 11640 12168 12240 12416 12480 12610 13192 13260 13520 13968 14144 14365 14841 14976 15132 15210 15520 15912 16224 16320 16382 16393 16490 17238 17460 17680 18624 18720 18915 19584 19788 19890 20176 20280 21216 21437 21632 22698 22984 23280 24336 24480 24573 24735 24960 25220 25857 26384 26520 27040 27936 28288 28730 29682 30264 30420 31040 31824 32448 32640 32764 32786 32980 34476 34920 35360 37248 37440 37830 39576 39780 40352 40560 40955 42432 42874 43095 45396 45968 46560 48672 48960 49146 49179 49470 50440 51714 52768 53040 54080 55872 56745 57460 59364 60528 60840 62080 63648 64311 64896 65528 65572 65960 68952 69840 70720 73719 74205 74880 75660 79152 79560 80704 81120 81910 81965 84864 85748 86190 90792 91936 93120 97344 97920 98292 98358 98940 100880 103428 105536 106080 106483 107185 108160 111744 113490 114920 118728 121056 121680 122865 127296 128622 129285 131056 131144 131920 137904 139247 139680 141440 147438 147537 148410 151320 158304 159120 161408 162240 163820 163930 171496 172380 181584 183872 186240 192933 194688 196584 196716 197880 201760 206856 211072 212160 212966 214370 226980 229840 237456 242112 243360 245730 245895 254592 257244 258570 262112 262288 263840 275808 278494 278681 279360 294876 295074 296820 302640 316608 318240 319449 321555 324480 327640 327860 342992 344760 363168 367744 368595 385866 393168 393432 395760 403520 413712 417741 424320 425932 428740 453960 459680 474912 484224 486720 491460 491790 514488 517140 524224 524576 527680 532415 551616 556988 557362 558720 589752 590148 593640 605280 633216 636480 638898 643110 655280 655720 685984 689520 696235 726336 737190 737685 771732 786336 786864 791520 794527 807040 827424 835482 836043 851864 857480 907920 919360 949824 958347 964665 973440 982920 983580 1028976 1034280 1048448 1049152 1055360 1064830 1103232 1113976 1114724 1179504 1180296 1187280 1210560 1253223 1272960 1277796 1286220 1310560 1311440 1371968 1379040 1384279 1392470 1393405 1452672 1474380 1475370 1543464 1572672 1573728 1583040 1589054 1597245 1654848 1670964 1672086 1703728 1714960 1810211 1815840 1838720 1899648 1916694 1929330 1965840 1967160 2057952 2068560 2088705 2098304 2129660 2227952 2229448 2359008 2360592 2374560 2383581 2421120 2506446 2508129 2555592 2572440 2621120 2622880 2743936 2758080 2768558 2784940 2786810 2948760 2950740 3086928 3145344 3147456 3166080 3178108 3194490 3309696 3341928 3344172 3407456 3429920 3620422 3631680 3833388 3858660 3931680 3934320 3972635 4115904 4137120 4152837 4177410 4180215 4259320 4455904 4458896 4718016 4721184 4749120 4767162 4791735 5012892 5016258 5111184 5144880 5242240 5245760 5430633 5516160 5537116 5569880 5573620 5897520 5901480 6173856 6266115 6294912 6356216 6388980 6683856 6688344 6814912 6859840 6921395 7150743 7240844 7263360 7666776 7717320 7863360 7868640 7945270 8231808 8274240 8305674 8354820 8360430 8518640 8911808 8917792 9051055 9436032 9442368 9498240 9534324 9583470 10025784 10032516 10222368 10289760 10328851 10491520 10861266 11074232 11139760 11147240 11795040 11802960 11917905 12347712 12458511 12532230 12540645 12712432 12777960 13367712 13376688 13506959 13629824 13719680 13842790 14301486 14481688 15333552 15434640 15726720 15737280 15890540 16291899 16548480 16611348 16709640 16720860 17037280 17823616 17835584 18102110 18884736 19068648 19166940 20051568 20065032 20444736 20579520 20657702 20764185 21722532 22148464 22279520 22294480 23532743 23590080 23605920 23835810 24695424 24917022 25064460 25081290 25424864 25555920 26735424 26753376 27013918 27153165 27685580 28602972 28963376 30667104 30869280 30986553 31474560 31781080 32583798 33222696 33419280 33441720 34074560 35671168 35753715 36204220 38137296 38333880 40103136 40130064 40520877 40889472 41159040 41315404 41528370 43445064 44296928 44559040 44588960 47065486 47180160 47211840 47671620 49834044 50128920 50162580 50849728 51111840 51644255 53470848 53506752 54027836 54306330 55371160 57205944 57926752 61334208 61738560 61973106 62292555 63562160 65167596 66445392 66838560 66883440 67534795 68149120 70598229 71507430 72408440 76274592 76667760 80206272 80260128 81041754 81459495 82630808 83056740 86890128 88593856 89118080 89177920 92959659 94130972 94423680 95343240 99668088 100257840 100325160 101699456 102223680 103288510 107013504 108055672 108612660 110742320 114411888 115853504 117663715 121562631 122668416 123477120 123946212 124585110 127124320 130335192 132890784 133677120 133766880 134275063 135069590 141196458 143014860 144816880 152549184 153335520 154932765 160412544 160520256 162083508 162918990 165261616 166113480 173780256 175590467 177187712 178355840 185919318 188261944 190686480 199336176 200515680 200650320 202604385 204447360 206577020 211794687 216111344 217225320 221484640 228823776 231707008 235327430 243125262 247892424 249170220 254248640 260670384 265781568 267354240 267533760 268550126 270139180 282392916 286029720 289633760 305098368 306671040 309865530 321040512 324167016 325837980 330523232 332226960 347560512 351180934 352991145 371838636 376523888 381372960 398672352 401031360 401300640 402825189 405208770 413154040 423589374 432222688 434450640 442969280 457647552 464798295 470654860 486250524 495784848 498340440 508497280 521340768 526771401 531563136 535067520 537100252 540278360 564785832 572059440 579267520 607813155 613342080 619731060 648334032 651675960 661046464 664453920 671375315 695121024 702361868 705982290 743677272 753047776 762745920 797344704 802062720 802601280 805650378 810417540 826308080 847178748 864445376 868901280 877952335 885938560 915295104 929596590 941309720 972501048 991569696 996680880 1042681536 1053542802 1058973435 1074200504 1080556720 1129571664 1144118880 1158535040 1208475567 1215626310 1239462120 1296668064 1303351920 1322092928 1328907840 1342750630 1404723736 1411964580 1487354544 1506095552 1525491840 1580314203 1594689408 1605202560 1611300756 1620835080 1652616160 1694357496 1728890752 1737802560 1755904670 1859193180 1882619440 1945002096 1983139392 1993361760 2014125945 2085363072 2107085604 2117946870 2148401008 2161113440 2259143328 2282676071 2288237760 2416951134 2431252620 2478924240 2593336128 2606703840 2633857005 2657815680 2685501260 2809447472 2823929160 2974709088 3012191104 3160628406 3222601512 3241670160 3305232320 3388714992 3475605120 3511809340 3718386360 3765238880 3890004192 3966278784 3986723520 4028251890 4214171208 4235893740 4296802016 4322226880 4518286656 4565352142 4576475520 4833902268 4862505240 4957848480 5186672256 5213407680 5267714010 5371002520 5618894944 5647858320 5949418176 6042377835 6321256812 6445203024 6483340320 6610464640 6777429984 6848028213 7023618680 7436772720 7530477760 7780008384 7901571015 7973447040 8056503780 8428342416 8471787480 8593604032 8644453760 9036573312 9130704284 9667804536 9725010480 9915696960 10426815360 10535428020 10742005040 11237789888 11295716640 11413380355 11898836352 12084755670 12642513624 12890406048 12966680640 13554859968 13696056426 14047237360 14873545440 15060955520 15560016768 15803142030 16113007560 16856684832 16943574960 17187208064 18261408568 19335609072 19450020960 19831393920 20544084639 21070856040 21484010080 22475579776 22591433280 22826760710 24169511340 25285027248 25780812096 25933361280 27109719936 27392112852 28094474720 29747090880 31606284060 32226015120 33713369664 33887149920 34240141065 36522817136 38671218144 38900041920 41088169278 42141712080 42968020160 45182866560 45653521420 48339022680 50570054496 51561624192 54784225704 56188949440 59494181760 63212568120 64452030240 67426739328 67774299840 68480282130 73045634272 77342436288 77800083840 82176338556 84283424160 85936040320 91307042840 96678045360 101140108992 102720423195 109568451408 112377898880 126425136240 128904060480 135548599680 136960564260 146091268544 154684872576 164352677112 168566848320 182614085680 193356090720 202280217984 205440846390 219136902816 252850272480 257808120960 273921128520 292182537088 328705354224 337133696640 365228171360 386712181440 410881692780 438273805632 505700544960 547842257040 657410708448 730456342720 773424362880 821763385560 876547611264 1011401089920 1095684514080 1314821416896 1460912685440 1643526771120 2191369028160 2629642833792 3287053542240 4382738056320 6574107084480 13148214168960
- Sum of all divisors σ(n): 52598625730560
- Sum of proper divisors (its aliquot sum) s(n): 39450411561600
- 13148214168960 is an abundant number, because the sum of its proper divisors (39450411561600) is greater than itself. Its abundance is 26302197392640
Bases of 13148214168960
- Binary: 101111110101010011101010001010001101100000002
- Hexadecimal: 0xBF54EA28D80
- Base-36: 4NS7F8M80
Squares and roots of 13148214168960
- 13148214168960 squared (131482141689602) is 172875535832840503427481600
- 13148214168960 cubed (131482141689603) is 2273004569703905701248993016969691136000
-
The
square root of 13148214168960 is 3626046.6308308833 -
The
cube root of 13148214168960 is 23602.3686750183
Scales and comparisons
How big is 13148214168960?- 13,148,214,168,960 seconds is equal to 418,072 years, 28 weeks, 17 hours, 36 minutes.
-
To count from 1 to 13,148,214,168,960 would take you about one million, forty-five thousand, one hundred eighty-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 13148214168960 cubic inches would be around 1966.9 feet tall.
Recreational maths with 13148214168960
- 13148214168960 backwards is 06986141284131
- The number of decimal digits it has is: 14
- The sum of 13148214168960's digits is 54
- More coming soon!
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The information we have on file for 13148214168960 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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