13681224244087400

Names of 13681224244087400

• Cardinal: 13681224244087400 can be written as Thirteen quadrillion, six hundred eighty-one trillion, two hundred twenty-four billion, two hundred forty-four million, eighty-seven thousand, four hundred.

Scientific notation

• Scientific notation: 1.36812242440874 × 10¹⁶

Factors of 13681224244087400

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 69

Divisors of 13681224244087400

• Number of divisors d(n): 1512
• Complete list of divisors:
  1 2 4 5 7 8 10 11 13 14 20 22 25 26 28 31 35 40 44 49 50 52 55 56 62 65 70 77 88 91 98 100 104 110 121 124 130 140 143 154 155 175 182 196 200 217 220 242 245 248 260 275 280 286 308 310 325 341 350 364 385 392 403 434 440 455 484 490 520 539 550 572 605 616 620 637 650 682 700 715 728 770 775 806 847 868 910 961 968 980 1001 1078 1085 1100 1144 1210 1225 1240 1274 1300 1364 1400 1430 1519 1540 1550 1573 1612 1694 1705 1736 1820 1922 1925 1960 2002 2015 2156 2170 2200 2275 2387 2420 2450 2548 2600 2695 2728 2821 2860 3025 3038 3080 3100 3146 3185 3224 3388 3410 3575 3640 3751 3844 3850 4004 4030 4235 4312 4340 4433 4550 4774 4805 4840 4900 5005 5096 5390 5425 5642 5720 5929 6050 6076 6200 6292 6370 6727 6776 6820 7007 7150 7502 7595 7688 7700 7865 8008 8060 8470 8525 8680 8866 9100 9548 9610 9800 10010 10075 10571 10780 10850 11011 11284 11858 11935 12100 12152 12493 12584 12740 13454 13475 13640 14014 14105 14300 15004 15190 15400 15730 15925 16120 16709 16940 17050 17732 18200 18755 19096 19220 19747 20020 20150 21142 21175 21560 21700 22022 22165 22568 23716 23870 24025 24200 24986 25025 25480 26257 26908 26950 28028 28210 28600 29645 29791 30008 30380 31031 31460 31850 33418 33635 33880 34100 35035 35464 37510 37975 38440 39325 39494 40040 40300 42284 42350 43400 44044 44330 47089 47432 47740 48050 48763 49972 50050 52514 52855 53816 53900 55055 56056 56420 59290 59582 59675 60760 62062 62465 62920 63700 66836 67270 68200 70070 70525 73997 75020 75950 77077 78650 78988 80600 83545 84568 84700 87451 88088 88660 93775 94178 95480 96100 97526 98735 99944 100100 105028 105710 107800 110110 110825 112840 116281 118580 119164 119350 124124 124930 127400 131285 133672 134540 137423 140140 141050 147994 148225 148955 150040 151900 154154 155155 157300 157976 167090 168175 169400 174902 175175 177320 183799 187550 188356 192200 195052 197470 200200 208537 210056 211420 217217 220220 221650 232562 235445 237160 238328 238700 243815 248248 249860 262570 264275 269080 274846 275275 280280 282100 295988 296450 297910 303800 308308 310310 312325 314600 327701 334180 336350 341341 349804 350350 367598 369985 375100 376712 385385 387283 390104 394940 417074 417725 422840 434434 437255 440440 443300 465124 470890 477400 487630 493675 499720 517979 525140 528550 549692 550550 564200 581405 591976 592900 595820 612157 616616 620620 624650 655402 656425 668360 672700 682682 687115 699608 700700 735196 739970 744775 750200 770770 774566 775775 789880 813967 834148 835450 868868 874510 886600 918995 923521 930248 941780 961961 975260 987350 1035958 1042685 1050280 1057100 1086085 1099384 1101100 1162810 1177225 1185800 1191640 1219075 1224314 1241240 1249300 1310804 1312850 1345400 1365364 1374230 1401400 1459759 1470392 1479940 1489550 1511653 1541540 1549132 1551550 1627934 1638505 1668296 1670900 1706705 1737736 1749020 1837990 1847042 1849925 1883560 1923922 1926925 1936415 1950520 1974700 2071916 2085370 2114200 2172170 2186275 2202200 2293907 2325620 2354450 2389387 2438150 2448628 2498600 2589895 2621608 2625700 2710981 2730728 2748460 2907025 2919518 2959880 2979100 3023306 3060785 3083080 3098264 3103100 3255868 3277010 3341800 3413410 3435575 3498040 3604711 3675980 3694084 3699850 3847844 3853850 3872830 3949400 4069835 4143832 4170740 4260113 4344340 4372550 4587814 4594975 4617605 4651240 4708900 4778774 4809805 4876300 4897256 5179790 5213425 5251400 5421962 5430425 5496920 5697769 5814050 5839036 5958200 6046612 6121570 6206200 6464647 6511736 6554020 6733727 6826820 6871150 7209422 7298795 7351960 7388168 7399700 7558265 7695688 7707700 7745660 8139670 8192525 8341480 8520226 8533525 8688680 8745100 9175628 9189950 9235210 9417800 9557548 9619610 9682075 9752600 10158731 10359580 10426850 10581571 10843924 10860850 11395538 11469535 11628100 11678072 11946935 12005773 12093224 12243140 12929294 12949475 13108040 13467454 13554905 13653640 13742300 14418844 14597590 14799400 15116530 15303925 15415400 15491320 16057349 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8875036810 9050505800 9184803628 9244445210 9304474075 9372248600 9762540491 9955556380 10020202850 10168889731 10421010964 10437276850 10951112018 11022223135 11174604100 11222627192 11481004535 11537547853 11621588264 11765657540 12425051534 12444445475 12596826440 12942223294 13026263705 13121148040 13206350300 13856509084 14028283990 14222223400 14526985330 14707071925 14814199400 14887158520 15431112389 15644445740 15746033050 16375874372 16401435050 16808082200 17320636355 17635557016 17663083900 17750073620 18236769187 18369607256 18488890420 18608948150 19525080982 19555557175 19911112760 20040405700 20337779462 20469842965 20842021928 20874553700 21902224036 22044446270 22187592025 22349208200 22962009070 23075095706 23111113025 23531315080 24248890897 24850103068 24888890950 25884446588 26052527410 26412700600 27377780045 27713018168 28056567980 28657780151 29053970660 29414143850 30862224778 31062628835 31288891480 31492066100 32355558235 32751748744 32802870100 34641272710 35070709975 35326167800 35500147240 36317463325 36473538374 36977780840 37217896300 39050161964 39111114350 40080811400 40675558924 40939685930 41749107400 43487680369 43804448072 44088892540 44375184050 45033654523 45924018140 46150191412 46222226050 48497781794 48812702455 49700206136 49777781900 50844448655 51768893176 52105054820 54755560090 55111115675 56113135960 57315560302 57405022675 57687739265 58107941320 58828287700 61724449556 62125257670 62984132200 64711116470 65131318525 65605740200 68337783437 69282545420 70141419950 71182228117 72634926650 72947076748 74435792600 77155561945 78100323928 78222228700 80762834971 81351117848 81879371860 86603181775 86975360738 88177785080 88750368100 90067309046 91183845935 91848036280 92300382824 92444452100 96995563588 97625404910 99555563800 101688897310 102349214825 104210109640 107387945401 109511120180 110222231350 114631120604 114810045350 115375478530 117656575400 121244454485 123448899112 124250515340 126913026383 129422232940 130262637050 136675566874 136888900225 138565090840 140282839900 142364456234 143288900755 145269853300 145894153496 154311123890 155313144175 156444457400 161525669942 161777791175 163758743720 169742236279 173206363550 173950721476 177500736200 180134618092 182367691870 184888904200 193991127176 195250809820 200604461057 203377794620 204698429650 214775890802 217438401845 219022240360 220444462700 225168272615 229262241208 229620090700 230750957060 242488908970 244063512275 248501030680 253826052766 254222243275 258844465880 260525274100 273351133748 273777800450 280565679800 284728912468 286577801510 288438696325 290539706600 308622247780 310626288350 315235581661 323051339884 323555582350 339484472558 341688917185 346412727100 347901442952 355911140585 360269236184 364735383740 385777809725 390501619640 401208922114 403814174855 406755589240 409396859300 429551781604 434876803690 440888925400 450336545230 455919229675 459240181400 461501914120 478364484059 484977817940 488127024550 507652105532 508444486550 521050548200 536939727005 546702267496 547555600900 565339844797 569457824936 573155603020 576877392650 606222272425 617244495560 621252576700 630471163322 634565131915 646102679768 647111164700 678968945116 683377834370 692825454200 711822281170 716444503775 729470767480 751715617807 771555619450 802417844228 807628349710 818793718600 848711181395 859103563208 869753607380 888391184681 900673090460 911838459350 956728968118 969955635880 976254049100 1003022305285 1015304211064 1016888973100 1073879454010 1087192009225 1095111201800 1125841363075 1130679689594 1146311206040 1153754785300 1212444544850 1242505153400 1260942326644 1269130263830 1294222329400 1357937890232 1366755668740 1396043290213 1423644562340 1432889007550 1503431235614 1543111238900 1576177908305 1604835688456 1615256699420 1697422362790 1708444585925 1739507214760 1776782369362 1779555702925 1801346180920 1823676918700 1913457936236 1952508098200 2006044610570 2019070874275 2033777946200 2147758908020 2174384018450 2206649071627 2251682726150 2261359379188 2307509570600 2391822420295 2424889089700 2521884653288 2538260527660 2684698635025 2733511337480 2792086580426 2826699223985 2847289124680 2865778015100 3006862471228 3086222477800 3152355816610 3172825659575 3230513398840 3394844725580 3416889171850 3553564738724 3559111405850 3647353837400 3758578089035 3826915872472 4012089221140 4038141748550 4243555906975 4295517816040 4348768036900 4413298143254 4441955923405 4503365452300 4522718758376 4783644840590 4849778179400 5015111526425 5076521055320 5262009324649 5369397270050 5584173160852 5653398447970 5731556030200 6013724942456 6218738292767 6304711633220 6345651319150 6789689451160 6833778343700 6980216451065 7107129477448 7118222811700 7517156178070 7880889541525 8024178442280 8076283497100 8487111813950 8697536073800 8826596286508 8883911846810 9006730904600 9567289681180 9772303031491 10030223052850 10524018649298 10738794540100 11033245358135 11168346321704 11306796895940 11959112101475 12437476585534 12609423266440 12691302638300 13667556687400 13960432902130 14133496119925 14236445623400 15034312356140 15761779083050 16152566994200 16974223627900 17653192573016 17767823693620 18792890445175 19134579362360 19544606062982 20060446105700 21048037298596 21477589080200 22066490716270 22209779617025 22613593791880 23918224202950 24874953171068 25382605276600 26310046623245 27920865804260 28266992239850 30068624712280 31093691463835 31523558166100 33948447255800 34901082255325 35535647387240 37585780890350 39089212125964 40120892211400 42096074597192 44132981432540 44419559234050 47836448405900 48861515157455 49749906342136 52620093246490 55166226790675 55841731608520 56533984479700 62187382927670 63047116332200 68406121220437 69802164510650 75171561780700 78178424251928 88265962865080 88839118468100 95672896811800 97723030314910 105240186492980 110332453581350 113067968959400 124374765855340 131550233116225 136812242440874 139604329021300 150343123561400 155468457319175 177678236936200 195446060629820 210480372985960 220664907162700 244307575787275 248749531710680 263100466232450 273624484881748 279208658042600 310936914638350 342030606102185 390892121259640 441329814325400 488615151574550 526200932464900 547248969763496 621873829276700 684061212204370 977230303149100 1052401864929800 1243747658553400 1368122424408740 1710153030510925 1954460606298200 2736244848817480 3420306061021850 6840612122043700 13681224244087400
• Sum of all divisors σ(n): 45260368682236470
• Sum of proper divisors (its aliquot sum) s(n): 31579144438149070
• 13681224244087400 is an abundant number, because the sum of its proper divisors (31579144438149070) is greater than itself. Its abundance is 17897920194061670

Bases of 13681224244087400

• Binary: 110000100110110000000000111111001010010100101001101000₂
• Hexadecimal: 0x309B003F294A68
• Base-36: 3QPL7NG6R1K

Squares and roots of 13681224244087400

• 13681224244087400 squared (13681224244087400²) is 187175896817004849533858838760000
• 13681224244087400 cubed (13681224244087400³) is 2560795417441608352290007867566258159947624000000
• The square root of 13681224244087400 is 116966765.5536708427
• The cube root of 13681224244087400 is 239170.8904498311
• Being both a perfect square and a perfect cube, 13681224244087400 is also a perfect sixth number.

Scales and comparisons

• 13,681,224,244,087,400 seconds is equal to 435,020,612 years, 8 weeks, 1 day, 2 hours, 3 minutes, 20 seconds.
• To count from 1 to 13,681,224,244,087,400 would take you about one billion, three hundred five million, sixty-one thousand, eight hundred thirty-six 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 13681224244087400 cubic inches would be around 19930.9 feet tall.

Recreational maths with 13681224244087400

• 13681224244087400 backwards is 00478044242218631
• 13681224244087400 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 13681224244087400's digits is 56
• More coming soon!