138645321154560

Names of 138645321154560

• Cardinal: 138645321154560 can be written as One hundred thirty-eight trillion, six hundred forty-five billion, three hundred twenty-one million, one hundred fifty-four thousand, five hundred sixty.

Scientific notation

• Scientific notation: 1.3864532115456 × 10¹⁴

Factors of 138645321154560

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 24
• Sum of prime factors: 495

Divisors of 138645321154560

• Number of divisors d(n): 1296
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 32 33 36 40 44 45 48 55 60 64 66 72 73 80 88 90 96 99 110 120 128 132 144 146 160 165 176 180 192 198 219 220 240 256 264 288 292 320 330 352 360 365 384 396 401 438 440 480 495 512 528 576 584 640 657 660 704 720 730 768 792 802 803 876 880 960 990 1024 1056 1095 1152 1168 1203 1280 1314 1320 1408 1440 1460 1536 1584 1604 1606 1752 1760 1920 1980 2005 2048 2112 2190 2304 2336 2406 2409 2560 2628 2640 2816 2880 2920 3072 3168 3208 3212 3285 3504 3520 3609 3840 3960 4010 4015 4096 4224 4380 4411 4608 4672 4812 4818 5120 5256 5280 5329 5632 5760 5840 6015 6144 6336 6416 6424 6570 7008 7040 7218 7227 7680 7920 8020 8030 8192 8448 8760 8822 9216 9344 9624 9636 10240 10512 10560 10658 11264 11520 11680 12030 12045 12288 12672 12832 12848 13140 13233 14016 14080 14436 14454 15360 15840 15987 16040 16060 16384 16896 17520 17644 18045 18432 18688 19248 19272 20480 21024 21120 21316 22055 22528 23040 23360 24060 24090 24576 25344 25664 25696 26280 26466 26645 28032 28160 28872 28908 29273 30720 31680 31974 32080 32120 32768 33792 35040 35288 36090 36135 36864 37376 38496 38544 39699 40960 42048 42240 42632 44110 45056 46080 46720 47961 48120 48180 49152 50688 51328 51392 52560 52932 53290 56064 56320 57744 57816 58546 58619 61440 63360 63948 64160 64240 65536 66165 67584 70080 70576 72180 72270 73728 74752 76992 77088 79398 79935 81920 84096 84480 85264 87819 88220 90112 92160 93440 95922 96240 96360 98304 101376 102656 102784 105120 105864 106580 112128 112640 115488 115632 117092 117238 122880 126720 127896 128320 128480 131072 132330 135168 140160 141152 144360 144540 146365 147456 149504 153984 154176 158796 159870 163840 168192 168960 170528 175638 175857 176440 180224 184320 186880 191844 192480 192720 196608 198495 202752 205312 205568 210240 211728 213160 224256 225280 230976 231264 234184 234476 239805 245760 253440 255792 256640 256960 263457 264660 270336 280320 282304 288720 289080 292730 293095 294912 299008 307968 308352 317592 319740 322003 327680 336384 337920 341056 351276 351714 352880 360448 368640 373760 383688 384960 385440 393216 396990 405504 410624 411136 420480 423456 426320 439095 448512 450560 461952 462528 468368 468952 479610 491520 506880 511584 513280 513920 526914 527571 529320 540672 560640 564608 577440 578160 585460 586190 589824 598016 615936 616704 635184 639480 644006 655360 672768 675840 682112 702552 703428 705760 720896 737280 747520 767376 769920 770880 793980 811008 821248 822272 840960 846912 852640 878190 879285 897024 901120 923904 925056 936736 937904 959220 966009 983040 1013760 1023168 1026560 1027840 1053828 1055142 1058640 1081344 1121280 1129216 1154880 1156320 1170920 1172380 1179648 1196032 1231872 1233408 1270368 1278960 1288012 1317285 1345536 1351680 1364224 1405104 1406856 1411520 1441792 1474560 1495040 1534752 1539840 1541760 1587960 1610015 1622016 1642496 1644544 1681920 1693824 1705280 1756380 1758570 1794048 1802240 1847808 1850112 1873472 1875808 1918440 1932018 1966080 2027520 2046336 2053120 2055680 2107656 2110284 2117280 2136929 2162688 2242560 2258432 2309760 2312640 2341840 2344760 2392064 2463744 2466816 2540736 2557920 2576024 2634570 2637855 2691072 2703360 2728448 2810208 2813712 2823040 2898027 2949120 2990080 3069504 3079680 3083520 3175920 3220030 3244032 3284992 3289088 3363840 3387648 3410560 3512760 3517140 3588096 3604480 3695616 3700224 3746944 3751616 3836880 3864036 4055040 4092672 4106240 4111360 4215312 4220568 4234560 4273858 4325376 4485120 4516864 4619520 4625280 4683680 4689520 4784128 4830045 4927488 4933632 5081472 5115840 5152048 5269140 5275710 5382144 5406720 5456896 5620416 5627424 5646080 5796054 5898240 5980160 6139008 6159360 6167040 6351840 6410787 6440060 6488064 6569984 6578176 6727680 6775296 6821120 7025520 7034280 7176192 7208960 7391232 7400448 7493888 7503232 7673760 7728072 8110080 8185344 8212480 8222720 8430624 8441136 8469120 8547716 8970240 9033728 9239040 9250560 9367360 9379040 9568256 9660090 9854976 9867264 10162944 10231680 10304096 10538280 10551420 10684645 10764288 10813440 10913792 11240832 11254848 11292160 11592108 11960320 12278016 12318720 12334080 12703680 12821574 12880120 12976128 13139968 13156352 13455360 13550592 13642240 14051040 14068560 14352384 14490135 14782464 14800896 14987776 15006464 15347520 15456144 16220160 16370688 16424960 16445440 16861248 16882272 16938240 17095432 17940480 18067456 18478080 18501120 18734720 18758080 19232361 19320180 19709952 19734528 20325888 20463360 20608192 21076560 21102840 21369290 21528576 21626880 21827584 22481664 22509696 22584320 23184216 23506219 23920640 24556032 24637440 24668160 25407360 25643148 25760240 26279936 26312704 26910720 27101184 27284480 28102080 28137120 28704768 28980270 29564928 29601792 29975552 30012928 30695040 30912288 32053935 32440320 32741376 32849920 32890880 33722496 33764544 33876480 34190864 35880960 36134912 36956160 37002240 37469440 37516160 38464722 38640360 39419904 39469056 40651776 40926720 41216384 42153120 42205680 42738580 43057152 43655168 44963328 45019392 45168640 46368432 47012438 47841280 49112064 49274880 49336320 50814720 51286296 51520480 52559872 52625408 53821440 54202368 54568960 56204160 56274240 57960540 59129856 59203584 59951104 60025856 61390080 61824576 64107870 64880640 65482752 65699840 65781760 67444992 67529088 67752960 68381728 70518657 71761920 72269824 73912320 74004480 74938880 75032320 76929444 77280720 78839808 78938112 81303552 81853440 82432768 84306240 84411360 85477160 86114304 87310336 89926656 90038784 90337280 92736864 94024876 96161805 98224128 98549760 98672640 101629440 102572592 103040960 105250816 107642880 108404736 109137920 112408320 112548480 115921080 117531095 118259712 118407168 119902208 120051712 122780160 123649152 128215740 130965504 131399680 131563520 134889984 135058176 135505920 136763456 141037314 143523840 144539648 147824640 148008960 149877760 150064640 153858888 154561440 157679616 157876224 162607104 163706880 164865536 168612480 168822720 170954320 174620672 179853312 180077568 180674560 185473728 188049752 192323610 196448256 197099520 197345280 203258880 205145184 206081920 211555971 215285760 216809472 218275840 224816640 225096960 231842160 235062190 236519424 236814336 239804416 240103424 245560320 247298304 256431480 261931008 262799360 263127040 269779968 270116352 271011840 273526912 282074628 289079296 295649280 296017920 299755520 300129280 307717776 309122880 315752448 325214208 327413760 329731072 337224960 337645440 341908640 349241344 352593285 359706624 360155136 361349120 370947456 376099504 384647220 392896512 394199040 394690560 406517760 410290368 412163840 423111942 430571520 433618944 436551680 449633280 450193920 463684320 470124380 473038848 473628672 479608832 480206848 491120640 494596608 512862960 523862016 526254080 539559936 540232704 542023680 547053824 564149256 578158592 591298560 592035840 599511040 600258560 615435552 618245760 650428416 654827520 659462144 674449920 675290880 683817280 698482688 705186570 719413248 720310272 722698240 741894912 752199008 769294440 785793024 788398080 789381120 813035520 820580736 824327680 846223884 867237888 873103360 899266560 900387840 927368640 940248760 947257344 959217664 960413696 982241280 989193216 1025725920 1047724032 1057779855 1079119872 1080465408 1084047360 1094107648 1128298512 1182597120 1184071680 1199022080 1200517120 1230871104 1236491520 1300856832 1309655040 1318924288 1348899840 1350581760 1367634560 1410373140 1438826496 1440620544 1445396480 1483789824 1504398016 1538588880 1571586048 1578762240 1626071040 1641161472 1648655360 1692447768 1734475776 1746206720 1798533120 1800775680 1854737280 1880497520 1918435328 1920827392 1964482560 1978386432 2051451840 2095448064 2115559710 2158239744 2160930816 2168094720 2188215296 2256597024 2365194240 2368143360 2398044160 2401034240 2461742208 2472983040 2601713664 2619310080 2637848576 2697799680 2701163520 2735269120 2820746280 2877652992 2881241088 2890792960 2967579648 3008796032 3077177760 3143172096 3252142080 3282322944 3297310720 3384895536 3492413440 3597066240 3601551360 3709474560 3760995040 3836870656 3841654784 3928965120 3956772864 4102903680 4231119420 4316479488 4321861632 4336189440 4376430592 4513194048 4736286720 4796088320 4802068480 4923484416 4945966080 5203427328 5238620160 5275697152 5395599360 5402327040 5470538240 5641492560 5755305984 5762482176 5935159296 6017592064 6154355520 6286344192 6504284160 6564645888 6594621440 6769791072 7194132480 7203102720 7418949120 7521990080 7683309568 7857930240 7913545728 8205807360 8462238840 8632958976 8643723264 8672378880 8752861184 9026388096 9592176640 9604136960 9846968832 9891932160 10477240320 10551394304 10791198720 10804654080 10941076480 11282985120 11510611968 11524964352 11870318592 12035184128 12308711040 13008568320 13129291776 13189242880 13539582144 14388264960 14406205440 14837898240 15043980160 15715860480 15827091456 16411614720 16924477680 17265917952 17287446528 17505722368 18052776192 19184353280 19208273920 19693937664 19783864320 21102788608 21582397440 21609308160 21882152960 22565970240 23049928704 23740637184 24070368256 24617422080 26017136640 26258583552 26378485760 27079164288 28776529920 28812410880 29675796480 30087960320 31431720960 31654182912 32823229440 33848955360 34531835904 34574893056 35011444736 36105552384 38416547840 39387875328 39567728640 42205577216 43164794880 43218616320 43764305920 45131940480 47481274368 48140736512 49234844160 52517167104 52756971520 54158328576 57553059840 57624821760 59351592960 60175920640 63308365824 65646458880 67697910720 69149786112 70022889472 72211104768 78775750656 79135457280 86329589760 86437232640 87528611840 90263880960 94962548736 96281473024 98469688320 105034334208 105513943040 108316657152 115249643520 118703185920 120351841280 126616731648 131292917760 135395821440 140045778944 144422209536 157551501312 158270914560 172659179520 172874465280 175057223680 180527761920 189925097472 192562946048 196939376640 210068668416 211027886080 216633314304 237406371840 240703682560 262585835520 270791642880 280091557888 288844419072 315103002624 316541829120 345748930560 350114447360 361055523840 379850194944 385125892096 393878753280 420137336832 433266628608 474812743680 481407365120 525171671040 541583285760 577688838144 630206005248 633083658240 700228894720 722111047680 770251784192 787757506560 840274673664 866533257216 949625487360 962814730240 1050343342080 1083166571520 1155377676288 1260412010496 1400457789440 1444222095360 1540503568384 1575515013120 1733066514432 1899250974720 1925629460480 2100686684160 2166333143040 2310755352576 2520824020992 2888444190720 3081007136768 3151030026240 3466133028864 3851258920960 4201373368320 4332666286080 4621510705152 5776888381440 6302060052480 6932266057728 7702517841920 8665332572160 9243021410304 11553776762880 12604120104960 13864532115456 15405035683840 17330665144320 23107553525760 27729064230912 34661330288640 46215107051520 69322660577280 138645321154560
• Sum of all divisors σ(n): 532936094051088
• Sum of proper divisors (its aliquot sum) s(n): 394290772896528
• 138645321154560 is an abundant number, because the sum of its proper divisors (394290772896528) is greater than itself. Its abundance is 255645451741968

Bases of 138645321154560

• Binary: 11111100001100011100001000111100000000000000000₂
• Hexadecimal: 0x7E18E11E0000
• Base-36: 1D58S4HZ40

Squares and roots of 138645321154560

• 138645321154560 squared (138645321154560²) is 19222525078051082651408793600
• 138645321154560 cubed (138645321154560³) is 2665113162847975884665678625496488738816000
• The square root of 138645321154560 is 11774774.7814792621
• The cube root of 138645321154560 is 51756.9178556603

Scales and comparisons

• 138,645,321,154,560 seconds is equal to 4,408,492 years, 18 weeks, 3 days, 1 hour, 36 minutes.
• To count from 1 to 138,645,321,154,560 would take you about eleven million, twenty-one thousand, two hundred thirty 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 138645321154560 cubic inches would be around 4313.1 feet tall.

Recreational maths with 138645321154560

• 138645321154560 backwards is 065451123546831
• The number of decimal digits it has is: 15
• The sum of 138645321154560's digits is 54
• More coming soon!