138711822141568000

Names of 138711822141568000

• Cardinal: 138711822141568000 can be written as One hundred thirty-eight quadrillion, seven hundred eleven trillion, eight hundred twenty-two billion, one hundred forty-one million, five hundred sixty-eight thousand.

Scientific notation

• Scientific notation: 1.38711822141568 × 10¹⁷

Factors of 138711822141568000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 318

Divisors of 138711822141568000

• Number of divisors d(n): 1584
• Complete list of divisors:
  1 2 4 5 8 10 13 16 17 20 25 26 32 34 40 50 52 64 65 68 80 85 100 104 125 128 130 136 160 169 170 200 208 221 250 256 260 272 281 289 320 325 338 340 400 416 425 442 500 512 520 544 562 578 640 650 676 680 800 832 845 850 884 1000 1024 1040 1088 1105 1124 1156 1280 1300 1352 1360 1405 1445 1600 1625 1664 1690 1700 1768 2000 2080 2125 2176 2210 2248 2312 2560 2600 2704 2720 2810 2873 2890 3200 3250 3328 3380 3400 3536 3653 3757 4000 4160 4225 4250 4352 4420 4496 4624 4777 5120 5200 5408 5440 5525 5620 5746 5780 6400 6500 6656 6760 6800 7025 7072 7225 7306 7514 8000 8320 8450 8500 8704 8840 8992 9248 9554 10400 10816 10880 11050 11240 11492 11560 12800 13000 13312 13520 13600 14050 14144 14365 14450 14612 15028 16000 16640 16900 17000 17408 17680 17984 18265 18496 18785 19108 20800 21125 21632 21760 22100 22480 22984 23120 23885 25600 26000 27040 27200 27625 28100 28288 28730 28900 29224 30056 32000 33280 33800 34000 35125 35360 35968 36125 36530 36992 37570 38216 41600 42250 43264 43520 44200 44960 45968 46240 47489 47770 48841 52000 54080 54400 55250 56200 56576 57460 57800 58448 60112 62101 64000 66560 67600 68000 70250 70720 71825 71936 72250 73060 73984 75140 76432 78961 81209 83200 84500 86528 87040 88400 89920 91325 91936 92480 93925 94978 95540 97682 104000 108160 108800 110500 112400 113152 114920 115600 116896 119425 120224 124202 128000 135200 136000 140500 141440 143650 143872 144500 146120 147968 150280 152864 157922 162418 166400 169000 173056 176800 179840 182650 183872 184960 187850 189956 191080 195364 208000 216320 217600 221000 224800 226304 229840 231200 233792 237445 238850 240448 244205 248404 270400 272000 281000 282880 287300 287744 289000 292240 295936 300560 305728 310505 315844 324836 332800 338000 353600 359125 359680 365300 367744 369920 375700 379912 382160 390728 394805 406045 416000 432640 435200 442000 449600 456625 459680 462400 467584 469625 474890 477700 480896 488410 496808 540800 544000 562000 565760 574600 578000 584480 597125 601120 611456 621010 631688 649672 676000 707200 718250 719360 730600 735488 739840 751400 759824 764320 781456 789610 807313 812090 832000 865280 884000 899200 913250 919360 924800 935168 939250 949780 955400 961792 976820 993616 1026493 1055717 1081600 1088000 1124000 1131520 1149200 1156000 1168960 1187225 1194250 1202240 1221025 1222912 1242020 1263376 1299344 1342337 1352000 1414400 1436500 1438720 1461200 1470976 1479680 1502800 1519648 1528640 1552525 1562912 1579220 1614626 1624180 1664000 1768000 1798400 1826500 1838720 1849600 1870336 1878500 1899560 1910800 1923584 1953640 1974025 1987232 2030225 2052986 2111434 2163200 2176000 2248000 2298400 2312000 2337920 2374450 2388500 2404480 2442050 2445824 2484040 2526752 2598688 2684674 2704000 2828800 2873000 2922400 2941952 3005600 3039296 3057280 3105050 3125824 3158440 3229252 3248360 3536000 3596800 3653000 3677440 3699200 3740672 3757000 3799120 3821600 3847168 3907280 3948050 3974464 4036565 4060450 4105972 4222868 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114098645 116896000 120224000 121571840 122291200 124202000 125032960 126337600 128311625 129170080 129934400 131391104 131964625 133444090 134233700 135131776 137243210 139603048 151964800 152864000 156291200 157922000 158978560 161462600 162418000 164238880 167792125 168914720 171819136 174503810 177504328 182557832 183872000 189956000 195364000 198723200 201828250 202140160 205298600 206672128 207895040 211143400 213510544 214773920 219589136 221880410 226854953 228197290 233792000 240448000 243143680 248404000 250065920 252675200 256623250 258340160 259868800 262782208 263929250 266888180 268467400 270263552 274486420 279206096 288444533 296656477 303929600 305728000 312582400 315844000 317957120 322925200 324836000 328477760 333610225 335584250 337829440 343108025 343638272 349007620 355008656 365115664 367744000 377196697 379912000 390728000 397446400 403656500 404280320 410597200 413344256 415790080 422286800 427021088 429547840 436259525 439178272 443760820 453709906 456394580 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1814839624 1825578320 1885983485 1987232000 2021401600 2052986000 2066721280 2078950400 2111434000 2135105440 2147739200 2181297625 2195891360 2218804100 2233648768 2268549530 2281972900 2307556264 2373251816 2526752000 2583401600 2598688000 2627822080 2668881800 2684674000 2702635520 2744864200 2773505125 2792060960 2840069248 2852466125 2884445330 2920925312 2966564770 3017573576 3039296000 3125824000 3229252000 3284777600 3336102250 3378294400 3416168704 3431080250 3436382720 3490076200 3513426176 3550086560 3629679248 3651156640 3749778929 3771966970 3856534201 3974464000 4105972000 4133442560 4222868000 4270210880 4295478400 4362595250 4391782720 4437608200 4467297536 4537099060 4563945800 4615112528 4746503632 4903557061 5053504000 5166803200 5197376000 5255644160 5337763600 5369348000 5405271040 5489728400 5547010250 5584121920 5671373825 5680138496 5704932250 5768890660 5841850624 5933129540 6035147152 6078592000 6251648000 6412343849 6458504000 6569555200 6672204500 6756588800 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290374339840 292092531200 295367201792 296656477000 299982314320 301757357600 303776232448 308522736080 313827651904 318731208965 320617192450 333441880148 341616870400 351342617600 355008656000 362967924800 365115664000 369209002240 374977892900 377196697000 379720290560 385653420100 386249417728 392284564880 410390006336 416802350185 427021088000 439178272000 446729753600 453709906000 461511252800 468722366125 474650363200 479971702912 482066775125 482811772160 490355706100 493636377728 509969934344 512987507920 558412192000 568013849600 576889066000 580748679680 584185062400 593312954000 599964628640 603514715200 612944632625 617045472160 627655303808 637462417930 641234384900 666883760296 710017312000 725935849600 730231328000 738418004480 749955785800 754393394000 759440581120 771306840200 784569129760 801542981125 820780012672 833604700370 854042176000 878356544000 907419812000 923022505600 937444732250 949300726400 959943405824 964133550250 965623544320 980711412200 987272755456 1019939868688 1025975015840 1083686110481 1116824384000 1153778132000 1161497359360 1186625908000 1199929257280 1207029430400 1225889265250 1234090944320 1255310607616 1274924835860 1282468769800 1333767520592 1420034624000 1451871699200 1460462656000 1476836008960 1499911571600 1508786788000 1518881162240 1542613680400 1569138259520 1593656044825 1603085962250 1641560025344 1667209400740 1708084352000 1756713088000 1814839624000 1846045011200 1874889464500 1898601452800 1919886811648 1928267100500 1931247088640 1961422824400 1974545510912 2039879737376 2051950031680 2084011750925 2167372220962 2233648768000 2307556264000 2373251816000 2399858514560 2414058860800 2451778530500 2468181888640 2510621215232 2549849671720 2564937539600 2667535041184 2840069248000 2903743398400 2920925312000 2999823143200 3017573576000 3085227360800 3138276519040 3187312089650 3206171924500 3283120050688 3334418801480 3629679248000 3692090022400 3749778929000 3797202905600 3839773623296 3856534201000 3922845648800 3949091021824 4079759474752 4103900063360 4168023501850 4334744441924 4615112528000 4746503632000 4799717029120 4828117721600 4903557061000 4936363777280 5021242430464 5099699343440 5129875079200 5335070082368 5418430552405 5807486796800 5999646286400 6035147152000 6170454721600 6276553038080 6374624179300 6412343849000 6566240101376 6668837602960 7259358496000 7384180044800 7499557858000 7594405811200 7713068402000 7845691297600 7968280224125 8159518949504 8207800126720 8336047003700 8669488883848 9230225056000 9493007264000 9599434058240 9656235443200 9807114122000 9872727554560 10199398686880 10259750158400 10420058754625 10670140164736 10836861104810 11999292572800 12070294304000 12340909443200 12553106076160 12749248358600 12824687698000 13337675205920 14518716992000 14999115716000 15426136804000 15691382595200 15936560448250 16319037899008 16415600253440 16672094007400 17338977767696 18460450112000 18986014528000 19198868116480 19614228244000 19745455109120 20398797373760 20519500316800 20840117509250 21340280329472 21673722209620 23998585145600 24140588608000 24681818886400 25106212152320 25498496717200 25649375396000 26675350411840 27092152762025 29037433984000 29998231432000 30852273608000 31382765190400 31873120896500 32638075798016 32831200506880 33344188014800 34677955535392 36920900224000 37972029056000 39228456488000 40797594747520 41039000633600 41680235018500 42680560658944 43347444419240 47997170291200 48281177216000 49363637772800 50996993434400 51298750792000 53350700823680 54184305524050 59996462864000 61704547216000 62765530380800 63746241793000 65276151596032 66688376029600 69355911070784 78456912976000 81595189495040 82078001267200 83360470037000 85361121317888 86694888838480 95994340582400 98727275545600 101993986868800 102597501584000 106701401647360 108368611048100 119992925728000 123409094432000 125531060761600 127492483586000 133376752059200 135460763810125 138711822141568 156913825952000 163190378990080 164156002534400 166720940074000 173389777676960 203987973737600 205195003168000 213402803294720 216737222096200 239985851456000 246818188864000 254984967172000 266753504118400 270921527620250 277423644283136 313827651904000 326380757980160 333441880148000 346779555353920 407975947475200 410390006336000 426805606589440 433474444192400 479971702912000 493636377728000 509969934344000 533507008236800 541843055240500 554847288566272 627655303808000 666883760296000 693559110707840 815951894950400 820780012672000 866948888384800 1019939868688000 1067014016473600 1083686110481000 1109694577132544 1333767520592000 1387118221415680 1631903789900800 1733897776769600 2039879737376000 2134028032947200 2167372220962000 2667535041184000 2774236442831360 3467795553539200 4079759474752000 4334744441924000 5335070082368000 5548472885662720 6935591107078400 8159518949504000 8669488883848000 10670140164736000 13871182214156800 17338977767696000 27742364428313600 34677955535392000 69355911070784000 138711822141568000
• Sum of all divisors σ(n): 399483783516634128
• Sum of proper divisors (its aliquot sum) s(n): 260771961375066128
• 138711822141568000 is an abundant number, because the sum of its proper divisors (260771961375066128) is greater than itself. Its abundance is 122060139233498128

Bases of 138711822141568000

• Binary: 111101100110011011010101011010100111001010011010000000000₂
• Hexadecimal: 0x1ECCDAAD4E53400
• Base-36: 11XT8JDPZ2F4

Squares and roots of 138711822141568000

• 138711822141568000 squared (138711822141568000²) is 19240969601833994453833498624000000
• 138711822141568000 cubed (138711822141568000³) is 2668949953240913496821574405609833661202432000000000
• The square root of 138711822141568000 is 372440360.5163758295
• The cube root of 138711822141568000 is 517651.9157150243

Scales and comparisons

• 138,711,822,141,568,000 seconds is equal to 4,410,606,880 years, 13 weeks, 5 days, 7 hours, 6 minutes, 40 seconds.
• To count from 1 to 138,711,822,141,568,000 would take you about thirteen billion, two hundred thirty-one million, eight hundred twenty thousand, six hundred forty 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 138711822141568000 cubic inches would be around 43137.7 feet tall.

Recreational maths with 138711822141568000

• 138711822141568000 backwards is 000865141228117831
• The number of decimal digits it has is: 18
• The sum of 138711822141568000's digits is 58
• More coming soon!