13948318343769120

Names of 13948318343769120

• Cardinal: 13948318343769120 can be written as Thirteen quadrillion, nine hundred forty-eight trillion, three hundred eighteen billion, three hundred forty-three million, seven hundred sixty-nine thousand, one hundred twenty.

Scientific notation

• Scientific notation: 1.394831834376912 × 10¹⁶

Factors of 13948318343769120

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 627

Divisors of 13948318343769120

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 27 30 32 34 36 40 45 48 51 54 60 68 72 79 80 85 90 96 102 108 120 135 136 144 153 158 160 170 180 204 216 237 240 255 270 272 288 289 306 316 340 360 395 408 432 459 474 480 510 521 540 544 578 612 632 680 711 720 765 790 816 864 867 918 948 1020 1042 1080 1156 1185 1224 1264 1343 1360 1422 1440 1445 1530 1563 1580 1632 1734 1836 1896 2040 2084 2133 2160 2295 2312 2370 2448 2528 2601 2605 2686 2720 2844 2890 3060 3126 3160 3468 3555 3672 3792 4029 4080 4168 4266 4320 4335 4590 4624 4689 4740 4896 5202 5210 5372 5688 5780 6120 6252 6320 6715 6936 7110 7344 7584 7803 7815 8058 8160 8336 8532 8670 8857 9180 9248 9378 9480 10404 10420 10665 10744 11376 11560 12087 12240 12504 12640 13005 13430 13872 14067 14220 14688 15606 15630 16116 16672 17064 17340 17714 18360 18756 18960 20145 20808 20840 21330 21488 22752 22831 23120 23445 24174 24480 25008 26010 26571 26860 27744 28134 28440 31212 31260 32232 34128 34680 35428 36261 36720 37512 37920 39015 40290 41159 41616 41680 42660 42976 44285 45662 46240 46890 48348 50016 52020 53142 53720 56268 56880 60435 62424 62520 64464 68256 68493 69360 70335 70856 72522 73440 75024 78030 79713 80580 82318 83232 83360 85320 88570 91324 93780 96696 104040 106284 107440 112536 113760 114155 120870 123477 124848 125040 128928 132855 136986 138720 140670 141712 145044 150048 150569 156060 159426 161160 164636 170640 177140 181305 182648 187560 193392 205479 205795 208080 212568 214880 225072 228310 239139 241740 246954 249696 250080 265710 271441 273972 281340 283424 290088 301138 312120 318852 322320 329272 341280 342465 354280 362610 365296 370431 375120 386784 398565 410958 411590 416160 425136 450144 451707 456620 478278 483480 493908 531420 542882 547944 562680 580176 602276 616437 617385 624240 637704 644640 658544 684930 699703 708560 725220 730592 740862 750240 752845 797130 814323 821916 823180 850272 903414 913240 956556 966960 987816 1027395 1062840 1085764 1095888 1111293 1125360 1160352 1195695 1204552 1232874 1234770 1248480 1275408 1317088 1355121 1357205 1369860 1399406 1417120 1450440 1481724 1505690 1594260 1628646 1643832 1646360 1806828 1826480 1852155 1913112 1933920 1975632 2054790 2099109 2125680 2171528 2191776 2222586 2250720 2258535 2391390 2409104 2442969 2465748 2469540 2550816 2710242 2714410 2739720 2798812 2900880 2963448 3011380 3082185 3188520 3257292 3287664 3292720 3498515 3613656 3652960 3704310 3826224 3951264 4065363 4071615 4109580 4198218 4251360 4343056 4445172 4517070 4614497 4782780 4818208 4885938 4931496 4939080 5420484 5428820 5479440 5556465 5597624 5801760 5926896 6022760 6164370 6297327 6377040 6514584 6575328 6585440 6775605 6997030 7227312 7328907 7408620 7652448 8130726 8143230 8219160 8396436 8686112 8890344 9034140 9228994 9565560 9771876 9862992 9878160 10495545 10840968 10857640 10958880 11112930 11195248 11853792 11894951 12045520 12214845 12328740 12594654 12754080 13029168 13551210 13843491 13994060 14454624 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166121892 167928720 171550712 177806880 178424265 184579880 188919810 190319216 192994551 195437520 201514464 207652365 214109118 214438390 216819360 221495856 234525024 235339347 237899020 249182838 251893080 257326068 276869820 282841522 285478824 293156280 302271696 313785796 321163677 321657585 325229040 332243784 335857440 343101424 356848530 364545263 369159760 377839620 380638432 385989102 390875040 392232245 415304730 424262283 428218236 428876780 442991712 470678694 475798040 498365676 503786160 514652136 535272795 553739640 565683044 570957648 578983653 586312560 604543392 622957095 627571592 642327354 643315170 650458080 664487568 686202848 706018041 707103805 713697060 729090526 738319520 755679240 771978204 784464490 830609460 848524566 856436472 857753560 941357388 951596080 964972755 996731352 1007572320 1029304272 1070545590 1093635789 1107479280 1131366088 1141915296 1157967306 1172625120 1176696735 1245914190 1255143184 1272786849 1284654708 1286630340 1328975136 1412036082 1414207610 1427394120 1458181052 1511358480 1543956408 1568928980 1605818385 1661218920 1697049132 1712872944 1715507120 1822726315 1882714776 1903192160 1929945510 1993462704 2058608544 2118054123 2121311415 2141091180 2187271578 2214958560 2262732176 2315934612 2353393470 2404152937 2491828380 2510286368 2545573698 2569309416 2573260680 2824072164 2828415220 2854788240 2894918265 2916362104 3022716960 3087912816 3137857960 3211636770 3280907367 3322437840 3394098264 3425745888 3431014240 3530090205 3645452630 3765429552 3818360547 3859891020 3986925408 4236108246 4242622830 4282182360 4374543156 4525464352 4631869224 4706786940 4808305874 4983656760 5091147396 5138618832 5146521360 5468178945 5648144328 5656830440 5709576480 5789836530 5832724208 6175825632 6197269471 6275715920 6363934245 6423273540 6561814734 6644875680 6788196528 7060180410 7212458811 7290905260 7530859104 7636721094 7719782040 8472216492 8485245660 8564364720 8749086312 9263738448 9413573880 9616611748 9842722101 9967313520 10182294792 10277237664 10293042720 10590270615 10936357890 11172240119 11296288656 11313660880 11579673060 11665448416 12020764685 12394538942 12551431840 12727868490 12846547080 13123629468 13576393056 14120360820 14424917622 14581810520 15273442188 15439564080 16404536835 16944432984 16970491320 17128729440 17498172624 18527476896 18591808413 18827147760 19091802735 19233223496 19685444202 19934627040 20364589584 21180541230 21637376433 21872715780 22344480238 22592577312 22627321760 23159346120 24041529370 24789077884 25455736980 25693094160 26247258936 28240721640 28849835244 29163621040 30546884376 30879128160 30986347355 32809073670 33516720357 33888865968 33940982640 34996345248 36062294055 37183616826 37654295520 38183605470 38466446992 39370888404 40729179168 40870599929 42361082460 43274752866 43745431560 44688960476 46318692240 48083058740 49213610505 49578155768 50911473960 51386188320 52494517872 55775425239 55861200595 56481443280 57699670488 58327242080 61093768752 61972694710 64912129299 65618147340 67033440714 67777731936 67881965280 72124588110 74367233652 76367210940 76932893984 78741776808 81741199858 84722164920 86549505732 87490863120 89377920952 92637384480 92959042065 96166117480 98427221010 99156311536 100550161071 101822947920 104989035744 108186882165 111550850478 111722401190 112962886560 115399340976 122187537504 122611799787 123945389420 129824258598 131236294680 134066881428 144249176220 148734467304 152734421880 157483553616 163482399716 167326275717 167583601785 169444329840 173099011464 174981726240 178755841904 185918084130 189928082023 192332234960 196854442020 198312623072 201100322142 203645895840 204352999645 216373764330 223101700956 223444802380 230798681952 245223599574 247890778840 259648517196 262472589360 268133762856 278877126195 288498352440 297468934608 301650483213 305468843760 314967107232 324560646495 326964799432 334652551434 335167203570 338888659680 346198022928 357511683808 367835399361 371836168260 379856164046 384664469920 393708884040 402200644284 408705999290 432747528660 446203401912 446889604760 490447199148 495781557680 502750805355 519297034392 524945178720 536267525712 557754252390 569784246069 576996704880 594937869216 603300966426 610937687520 613058998935 649121292990 653929598864 669305102868 670334407140 692396045856 735670798722 743672336520 759712328092 787417768080 804401288568 817411998580 836631378585 865495057320 892406803824 893779209520 949640410115 980894398296 991563115360 1005501610710 1038594068784 1072535051424 1103506198083 1115508504780 1139568492138 1153993409760 1206601932852 1226117997870 1298242585980 1307859197728 1338610205736 1340668814280 1471341597444 1487344673040 1508252416065 1519424656184 1574835536160 1608802577136 1634823997160 1673262757170 1709352738207 1730990114640 1784813607648 1787558419040 1839176996805 1899280820230 1961788796592 2011003221420 2077188137568 2207012396166 2231017009560 2279136984276 2413203865704 2452235995740 2596485171960 2677220411472 2681337628560 2848921230345 2942683194888 2974689346080 3016504832130 3038849312368 3217605154272 3228777394391 3269647994320 3346525514340 3418705476414 3461980229280 3678353993610 3798561640460 3923577593184 4022006442840 4414024792332 4462034019120 4558273968552 4826407731408 4904471991480 5128058214621 5192970343920 5354440822944 5362675257120 5517530990415 5697842460690 5885366389776 6033009664260 6077698624736 6457554788782 6539295988640 6693051028680 6837410952828 7356707987220 7597123280920 8044012885680 8546763691035 8828049584664 8924068038240 9116547937104 9652815462816 9686332183173 9808943982960 10256116429242 10385940687840 11035061980830 11395684921380 11770732779552 12066019328520 12915109577564 13386102057360 13674821905656 14713415974440 15194246561840 16088025771360 16143886971955 17093527382070 17656099169328 18233095874208 19372664366346 19617887965920 20512232858484 22070123961660 22791369842760 24132038657040 25640291073105 25830219155128 26772204114720 27349643811312 29058996549519 29426831948880 30388493123680 32287773943910 34187054764140 35312198338656 38745328732692 41024465716968 44140247923320 45582739685520 48264077314080 48431660915865 51280582146210 51660438310256 54699287622624 58117993099038 58853663897760 64575547887820 68374109528280 77490657465384 82048931433936 87176989648557 88280495846640 91165479371040 96863321831730 102561164292420 103320876620512 116235986198076 129151095775640 136748219056560 145294982747595 154981314930768 164097862867872 174353979297114 176560991693280 193726643663460 205122328584840 232471972396152 258302191551280 273496438113120 290589965495190 309962629861536 348707958594228 387453287326920 410244657169680 435884948242785 464943944792304 516604383102560 581179930990380 697415917188456 774906574653840 820489314339360 871769896485570 929887889584608 1162359861980760 1394831834376912 1549813149307680 1743539792971140 2324719723961520 2789663668753824 3487079585942280 4649439447923040 6974159171884560 13948318343769120
• Sum of all divisors σ(n): 52617196317772800
• Sum of proper divisors (its aliquot sum) s(n): 38668877974003680
• 13948318343769120 is an abundant number, because the sum of its proper divisors (38668877974003680) is greater than itself. Its abundance is 24720559630234560

Bases of 13948318343769120

• Binary: 110001100011011110101111110000000110000010110000100000₂
• Hexadecimal: 0x318DEBF0182C20
• Base-36: 3TC9KZIZ0O0

Squares and roots of 13948318343769120

• 13948318343769120 squared (13948318343769120²) is 194555584619126126857527865574400
• 13948318343769120 cubed (13948318343769120³) is 2713723229825682215119663161713703583189782528000
• The square root of 13948318343769120 is 118102998.8771204741
• The cube root of 13948318343769120 is 240717.2889597005

Scales and comparisons

• 13,948,318,343,769,120 seconds is equal to 443,513,378 years, 18 weeks, 1 day, 13 hours, 12 minutes.
• To count from 1 to 13,948,318,343,769,120 would take you about one billion, three hundred thirty million, five hundred forty thousand, one hundred thirty-five 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 13948318343769120 cubic inches would be around 20059.8 feet tall.

Recreational maths with 13948318343769120

• 13948318343769120 backwards is 02196734381384931
• 13948318343769120 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 13948318343769120's digits is 72
• More coming soon!