138841867159694400

Names of 138841867159694400

• Cardinal: 138841867159694400 can be written as One hundred thirty-eight quadrillion, eight hundred forty-one trillion, eight hundred sixty-seven billion, one hundred fifty-nine million, six hundred ninety-four thousand, four hundred.

Scientific notation

• Scientific notation: 1.388418671596944 × 10¹⁷

Factors of 138841867159694400

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 15790529

Divisors of 138841867159694400

• Number of divisors d(n): 1344
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 29 30 32 39 40 43 48 50 52 58 60 64 65 75 78 80 86 87 96 100 104 113 116 120 129 130 145 150 156 160 172 174 192 195 200 208 215 226 232 240 258 260 290 300 312 320 325 339 344 348 377 390 400 416 430 435 452 464 480 516 520 559 565 580 600 624 645 650 678 688 696 725 754 780 800 832 860 870 904 928 960 975 1032 1040 1075 1118 1130 1131 1160 1200 1247 1248 1290 1300 1356 1376 1392 1450 1469 1508 1560 1600 1677 1695 1720 1740 1808 1856 1885 1950 2064 2080 2150 2175 2236 2260 2262 2320 2400 2494 2496 2580 2600 2712 2752 2784 2795 2825 2900 2938 3016 3120 3225 3277 3354 3390 3440 3480 3616 3741 3770 3900 4128 4160 4300 4350 4407 4472 4520 4524 4640 4800 4859 4988 5160 5200 5424 5568 5590 5650 5655 5800 5876 6032 6235 6240 6450 6554 6708 6780 6880 6960 7232 7345 7482 7540 7800 8256 8385 8475 8600 8700 8814 8944 9040 9048 9280 9425 9718 9831 9976 10320 10400 10848 11180 11300 11310 11600 11752 12064 12470 12480 12900 13108 13416 13560 13760 13920 13975 14577 14690 14964 15080 15600 16211 16385 16770 16950 17200 17400 17628 17888 18080 18096 18705 18850 19436 19662 19952 20640 20800 21696 22035 22360 22600 22620 23200 23504 24128 24295 24940 25800 26216 26832 27120 27840 27950 28275 29154 29380 29928 30160 31175 31200 32422 32770 33540 33900 34400 34800 35256 35776 36160 36192 36725 37410 37700 38872 39324 39904 41280 41925 42601 44070 44720 45200 45240 46400 47008 48590 48633 49155 49880 51600 52432 53664 54240 55900 56550 58308 58760 59856 60320 62350 62400 63167 64844 65540 67080 67800 68800 69600 70512 72384 72885 73450 74820 75400 77744 78648 79808 81055 81925 83850 85202 88140 89440 90400 90480 93525 94016 97180 97266 98310 99760 103200 104864 107328 108480 110175 111800 113100 116616 117520 119712 120640 121475 124700 126334 127803 129688 131080 134160 135600 139200 140911 141024 145770 146900 149640 150800 155488 157296 162110 163850 167700 170404 176280 178880 180800 180960 187050 189501 194360 194532 196620 199520 206400 209728 213005 220350 223600 226200 233232 235040 239424 242950 243165 245775 249400 252668 255606 259376 262160 268320 271200 281822 282048 291540 293800 299280 301600 310976 314592 315835 324220 327700 335400 340808 352560 361920 364425 374100 379002 388720 389064 393240 399040 405275 422733 426010 440700 447200 452400 466464 470080 485900 486330 491550 498800 505336 511212 518752 524320 536640 542400 563644 583080 587600 598560 603200 629184 631670 639015 648440 655400 670800 681616 704555 705120 728850 748200 758004 777440 778128 786480 810550 845466 852020 881400 894400 904800 932928 947505 971800 972660 983100 997600 1010672 1022424 1037504 1048640 1065025 1127288 1166160 1175200 1197120 1215825 1263340 1278030 1296880 1310800 1341600 1363232 1409110 1410240 1457700 1496400 1516008 1554880 1556256 1572960 1579175 1621100 1690932 1704040 1762800 1809600 1831843 1895010 1943600 1945320 1966200 1995200 2021344 2044848 2113665 2130050 2254576 2332320 2350400 2431650 2526680 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73273720 75800400 77812800 78951605 84546600 87928464 91592150 94741926 101067200 102242400 109910580 112728800 117237952 126322568 135274560 137388225 146547440 151600800 157903210 169093200 175856928 183184300 189483852 204484800 205274173 219821160 225457600 236854815 252645136 274776450 293094880 303201600 315806420 338186400 351713856 366368600 378967704 394758025 410548346 439642320 457919309 473709630 505290272 549552900 586189760 615822519 631612840 676372800 678983803 732737200 757935408 789516050 821096692 879284640 915838618 947419260 1010580544 1026370865 1099105800 1184274075 1231645038 1263225680 1357967606 1373757927 1465474400 1515870816 1579032100 1642193384 1758569280 1784306273 1831677236 1894838520 2036951409 2052741730 2198211600 2289596545 2368548150 2463290076 2526451360 2715935212 2747515854 2930948800 3031741632 3079112595 3158064200 3284386768 3394919015 3568612546 3663354472 3789677040 4073902818 4105483460 4396423200 4579193090 4737096300 4926580152 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847371786144 856467011040 882678943900 892942652550 920702036868 927839261960 945145453776 952472162720 984526514350 985316030400 997427206607 1023907574924 1034897638340 1059214732680 1070583763800 1086374084800 1099006341600 1113407114352 1142966595264 1150877546085 1159799077450 1181431817220 1190590203400 1227602715824 1241877166008 1260193938368 1279884468655 1293622047925 1324018415850 1345366929842 1391758892940 1412286310240 1427445018400 1428708244080 1476789771525 1484542819136 1534503394780 1535861362386 1552346457510 1575242422960 1629561127200 1655836221344 1694743572288 1712934022080 1739698616175 1765357887800 1785885305100 1841404073736 1855678523920 1890290907552 1904944325440 1918129243475 1969053028700 1994854413214 2018050394763 2047815149848 2069795276680 2118429465360 2141167527600 2198012683200 2225029922431 2226814228704 2301755092170 2319598154900 2362863634440 2381180406800 2455205431648 2483754332016 2559768937310 2587244095850 2648036831700 2690733859684 2783517785880 2824572620480 2854890036800 2857416488160 2953579543050 2992281619821 3069006789560 3071722724772 3104692915020 3150484845920 3259122254400 3311672442688 3363417324605 3479397232350 3530715775600 3571770610200 3682808147472 3711357047840 3780581815104 3836258486950 3839653405965 3880866143775 3938106057400 3989708826428 4036100789526 4095630299696 4139590553360 4236858930720 4282335055200 4450059844862 4453628457408 4603510184340 4639196309800 4725727268880 4762360813600 4910410863296 4967508664032 4987136033035 5119537874620 5174488191700 5296073663400 5381467719368 5567035571760 5714832976320 5754387730425 5907159086100 5984563239642 6138013579120 6143445449544 6209385830040 6300969691840 6399422343275 6675089767293 6726834649210 6958794464700 7061431551200 7143541220400 7365616294944 7422714095680 7672516973900 7679306811930 7761732287550 7876212114800 7979417652856 8072201579052 8191260599392 8279181106720 8473717861440 8564670110400 8900119689724 9207020368680 9278392619600 9451454537760 9524721627200 9935017328064 9974272066070 10090251973815 10239075749240 10348976383400 10592147326800 10762935438736 11125149612155 11134071143520 11508775460850 11814318172200 11969126479284 12276027158240 12286890899088 12418771660080 12798844686550 13350179534586 13453669298420 13917588929400 14122863102400 14287082440800 14731232589888 14961408099105 15345033947800 15358613623860 15523464575100 15752424229600 15958835305712 16144403158104 16382521198784 16558362213440 16817086623025 17800239379448 18414040737360 18556785239200 18902909075520 19198267029825 19948544132140 20180503947630 20478151498480 20697952766800 21184294653600 21525870877472 22250299224310 22268142287040 23017550921700 23628636344400 23938252958568 24552054316480 24573781798176 24837543320160 24935680165175 25597689373100 26700359069172 26907338596840 27835177858800 28574164881600 28925388991603 29922816198210 30690067895600 30717227247720 31046929150200 31504848459200 31917670611424 32288806316208 33375448836465 33634173246050 35600478758896 36828081474720 37113570478400 38396534059650 39897088264280 40361007895260 40956302996960 41395905533600 42368589307200 43051741754944 44500598448620 46035101843400 47257272688800 47876505917136 49147563596352 49675086640320 49871360330350 50451259869075 51195378746200 53400718138344 53814677193680 55625748060775 55670355717600 57850777983206 59845632396420 61380135791200 61434454495440 62093858300400 63835341222848 64577612632416 66750897672930 67268346492100 71200957517792 73656162949440 74807040495525 76793068119300 79794176528560 80722015790520 81912605993920 82791811067200 86776166974809 89001196897240 92070203686800 94514545377600 95753011834272 99742720660700 100902519738150 102390757492400 106801436276688 107629354387360 111251496121550 111340711435200 115701555966412 119691264792840 122760271582400 122868908990880 124187716600800 129155225264832 133501795345860 134536692984200 142401915035584 144626944958015 149614080991050 153586136238600 159588353057120 161444031581040 166877244182325 173552333949618 178002393794480 184140407373600 191506023668544 199485441321400 201805039476300 204781514984800 213602872553376 215258708774720 222502992243100 231403111932824 239382529585680 245737817981760 248375433201600 267003590691720 269073385968400 289253889916030 299228161982100 307172272477200 319176706114240 322888063162080 333754488364650 347104667899236 356004787588960 368280814747200 398970882642800 403610078952600 409563029969600 427205745106752 433880834874045 445005984486200 462806223865648 478765059171360 534007181383440 538146771936800 578507779832060 598456323964200 614344544954400 645776126324160 667508976729300 694209335798472 712009575177920 723134724790075 797941765285600 807220157905200 867761669748090 890011968972400 925612447731296 957530118342720 1068014362766880 1076293543873600 1157015559664120 1196912647928400 1228689089908800 1335017953458600 1388418671596944 1446269449580150 1595883530571200 1614440315810400 1735523339496180 1780023937944800 1851224895462592 2136028725533760 2169404174370225 2314031119328240 2393825295856800 2670035906917200 2776837343193888 2892538899160300 3228880631620800 3471046678992360 3560047875889600 4338808348740450 4628062238656480 4787650591713600 5340071813834400 5553674686387776 5785077798320600 6942093357984720 8677616697480900 9256124477312960 10680143627668800 11570155596641200 13884186715969440 17355233394961800 23140311193282400 27768373431938880 34710466789923600 46280622386564800 69420933579847200 138841867159694400
• Sum of all divisors σ(n): 523869616256152320
• Sum of proper divisors (its aliquot sum) s(n): 385027749096457920
• 138841867159694400 is an abundant number, because the sum of its proper divisors (385027749096457920) is greater than itself. Its abundance is 246185881936763520

Bases of 138841867159694400

• Binary: 111101101010000111111000101001100000000010110110001000000₂
• Hexadecimal: 0x1ED43F14C016C40
• Base-36: 11Z3C18K3QDC

Squares and roots of 138841867159694400

• 138841867159694400 squared (138841867159694400²) is 19277064076390226316391901391360000
• 138841867159694400 cubed (138841867159694400³) is 2676463569723088823761075650316734926672400384000000
• The square root of 138841867159694400 is 372614904.6397559229
• The cube root of 138841867159694400 is 517813.6347508109

Scales and comparisons

• 138,841,867,159,694,400 seconds is equal to 4,414,741,909 years, 30 weeks, 3 days, 1 hour, 20 minutes.
• To count from 1 to 138,841,867,159,694,400 would take you about thirteen billion, two hundred forty-four million, two hundred twenty-five thousand, seven hundred twenty-eight 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 138841867159694400 cubic inches would be around 43151.1 feet tall.

Recreational maths with 138841867159694400

• 138841867159694400 backwards is 004496951768148831
• The number of decimal digits it has is: 18
• The sum of 138841867159694400's digits is 84
• More coming soon!