138024714477276000

Names of 138024714477276000

• Cardinal: 138024714477276000 can be written as One hundred thirty-eight quadrillion, twenty-four trillion, seven hundred fourteen billion, four hundred seventy-seven million, two hundred seventy-six thousand.

Scientific notation

• Scientific notation: 1.38024714477276 × 10¹⁷

Factors of 138024714477276000

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 26772544

Divisors of 138024714477276000

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 30 32 33 36 40 44 45 47 48 50 55 60 66 72 75 80 88 90 94 96 99 100 110 120 125 132 141 144 150 160 165 176 180 188 198 200 220 225 235 240 250 264 275 277 282 288 300 330 352 360 375 376 396 400 423 440 450 470 480 495 500 517 528 550 554 564 600 660 705 720 750 752 792 800 825 831 846 880 900 940 990 1000 1034 1056 1100 1108 1125 1128 1175 1200 1320 1375 1385 1410 1440 1500 1504 1551 1584 1650 1662 1692 1760 1800 1880 1980 2000 2068 2115 2200 2216 2250 2256 2350 2400 2475 2493 2585 2640 2750 2770 2820 3000 3047 3102 3168 3300 3324 3384 3525 3600 3760 3960 4000 4125 4136 4155 4230 4400 4432 4500 4512 4653 4700 4950 4986 5170 5280 5500 5540 5640 5875 6000 6094 6204 6600 6648 6768 6925 7050 7200 7520 7755 7920 8250 8272 8310 8460 8800 8864 9000 9141 9306 9400 9900 9972 10340 10575 11000 11080 11280 11750 12000 12188 12375 12408 12465 12925 13019 13200 13296 13536 13850 14100 15235 15510 15840 16500 16544 16620 16920 17625 18000 18282 18612 18800 19800 19944 20680 20775 21150 22000 22160 22560 23265 23500 24376 24750 24816 24930 25850 26038 26400 26592 27423 27700 28200 30470 31020 33000 33240 33840 34625 35250 36000 36564 37224 37600 38775 39057 39600 39888 41360 41550 42300 44000 44320 45705 46530 47000 48752 49500 49632 49860 51700 52076 52875 54846 55400 56400 60940 62040 62325 64625 65095 66000 66480 67680 69250 70500 73128 74448 76175 77550 78114 79200 79776 82720 83100 84600 91410 93060 94000 97504 99000 99720 103400 103875 104152 105750 109692 110800 112800 116325 117171 121880 124080 124650 129250 130190 132000 132960 137115 138500 141000 143209 146256 148896 152350 155100 156228 166200 169200 182820 186120 188000 193875 195285 198000 199440 206800 207750 208304 211500 219384 221600 228525 232650 234342 243760 248160 249300 258500 260380 274230 277000 282000 286418 292512 304700 310200 311625 312456 325475 332400 338400 365640 372240 380875 387750 390570 396000 398880 413600 415500 416608 423000 429627 438768 457050 465300 468684 487520 498600 517000 520760 548460 554000 564000 572836 581625 585855 609400 620400 623250 624912 650950 664800 685575 716045 731280 744480 761750 775500 781140 831000 846000 859254 877536 914100 930600 937368 976425 997200 1034000 1041520 1096920 1108000 1142625 1145672 1163250 1171710 1218800 1240800 1246500 1249824 1288881 1301900 1371150 1432090 1462560 1523500 1551000 1562280 1627375 1662000 1692000 1718508 1828200 1861200 1874736 1952850 1994400 2068000 2083040 2148135 2193840 2285250 2291344 2326500 2343420 2437600 2493000 2577762 2603800 2742300 2864180 2929275 3047000 3102000 3124560 3254750 3324000 3427875 3437016 3580225 3656400 3722400 3749472 3905700 4296270 4387680 4570500 4582688 4653000 4686840 4882125 4986000 5155524 5207600 5484600 5728360 5858550 6094000 6204000 6249120 6444405 6509500 6855750 6874032 7160450 7312800 7811400 8592540 9141000 9306000 9373680 9764250 9972000 10311048 10415200 10740675 10969200 11456720 11717100 12188000 12888810 13019000 13711500 13748064 14320900 14646375 15622800 17185080 17901125 18282000 18612000 18747360 19528500 20622096 21481350 21938400 22913440 23434200 25777620 26038000 26772199 27423000 28641800 29292750 31245600 32222025 34370160 35802250 36564000 39057000 41244192 42962700 46868400 51555240 52076000 53544398 53703375 54846000 57283600 58585500 64444050 68740320 71604500 78114000 80316597 85925400 93736800 103110480 107088796 107406750 109692000 114567200 117171000 128888100 133860995 143209000 156228000 160633194 161110125 171850800 206220960 214177592 214813500 234342000 240949791 257776200 267721990 286418000 294494189 321266388 322220250 343701600 401582985 428355184 429627000 468684000 481899582 515552400 535443980 572836000 588988378 642532776 644440500 669304975 803165970 856710368 859254000 883482567 963799164 1031104800 1070887960 1177976756 1204748955 1258293353 1285065552 1288881000 1338609950 1472470945 1606331940 1718508000 1766965134 1927598328 2007914925 2141775920 2355953512 2409497910 2516586706 2570131104 2577762000 2650447701 2677219900 2944941890 3212663880 3346524875 3533930268 3774880059 3855196656 4015829850 4283551840 4417412835 4711907024 4818995820 5033173412 5155524000 5300895402 5354439800 5889883780 6023744775 6291466765 6425327760 6693049750 7067860536 7362354725 7415899123 7549760118 7710393312 8031659700 8834825670 9423814048 9637991640 10039574625 10066346824 10601790804 10708879600 11324640177 11779767560 12047489550 12582933530 12850655520 13252238505 13386099500 13841226883 14135721072 14724709450 14831798246 15099520236 16063319400 17669651340 18874400295 19275983280 20079149250 20132693648 21203581608 21417759200 22087064175 22247697369 22649280354 23559535120 24094979100 25165867060 26504477010 26772199000 27682453766 28271442144 29449418900 29663596492 30118723875 30199040472 31457333825 32126638800 35339302680 36811773625 37079495615 37748800590 38551966560 40158298500 40265387296 41523680649 42407163216 44174128350 44495394738 45298560708 47119070240 48189958200 50331734120 53008954020 53544398000 55364907532 56623200885 58898837800 59327192984 60237447750 60398080944 62914667650 64253277600 66261192525 66743092107 69206134415 70678605360 73623547250 74158991230 75497601180 80316597000 81574890353 83047361298 84814326432 88348256700 88990789476 90597121416 94372001475 96379916400 100663468240 106017908040 107088796000 110435320875 110729815064 111238486845 113246401770 117797675600 118654385968 120474895500 120796161888 124571041947 125829335300 132522385050 133486184214 138412268830 141357210720 147247094500 148317982460 150995202360 157286669125 160633194000 163149780706 166094722596 176696513400 177981578952 181194242832 185397478075 188744002950 192759832800 201326936480 207618403245 212035816080 220870641750 221459630128 222476973690 226492803540 235595351200 237308771936 240949791000 244724671059 249142083894 251658670600 265044770100 266972368428 276824537660 283116004425 294494189000 296635964920 301990404720 314573338250 321266388000 326299561412 331305962625 332189445192 333715460535 346030672075 348547258781 353393026800 355963157904 362388485664 370794956150 377488005900 407874451765 415236806490 424071632160 441741283500 442919260256 444953947380 452985607080 471860007375 481899582000 489449342118 498284167788 503317341200 530089540200 533944736856 553649075320 556192434225 566232008850 588988378000 593271929840 603980809440 622855209735 629146676500 652599122824 662611925250 664378890384 667430921070 692061344150 697094517562 706786053600 711926315808 734174013177 741589912300 754976011800 815748903530 830473612980 883482567000 889907894760 905971214160 926987390375 943720014750 963799164000 978898684236 996568335576 1006634682400 1038092016225 1045641776343 1060179080400 1067889473712 1107298150640 1112384868450 1132464017700 1177976756000 1186543859680 1223623355295 1245710419470 1258293353000 1305198245648 1325223850500 1328757780768 1334861842140 1384122688300 1394189035124 1415580022125 1468348026354 1483179824600 1509952023600 1631497807060 1660947225960 1668577302675 1730153360375 1742736293905 1766965134000 1779815789520 1811942428320 1853974780750 1887440029500 1957797368472 1993136671152 2039372258825 2076184032450 2091283552686 2120358160800 2135778947424 2214596301280 2224769736900 2264928035400 2447246710590 2491420838940 2516586706000 2610396491296 2650447701000 2669723684280 2768245376600 2780962171125 2788378070248 2831160044250 2936696052708 2966359649200 3019904047200 3114276048675 3136925329029 3262995614120 3321894451920 3337154605350 3460306720750 3485472587810 3533930268000 3559631579040 3670870065885 3707949561500 3774880059000 3834019846591 3915594736944 3986273342304 4078744517650 4152368064900 4182567105372 4449539473800 4529856070800 4894493421180 4982841677880 5033173412000 5190460081125 5228208881715 5300895402000 5339447368560 5536490753200 5561924342250 5576756140496 5662320088500 5873392105416 5932719298400 6118116776475 6228552097350 6273850658058 6525991228240 6643788903840 6674309210700 6920613441500 6970945175620 7341740131770 7415899123000 7549760118000 7668039693182 7831189473888 8157489035300 8304736129800 8342886513375 8365134210744 8713681469525 8899078947600 9059712141600 9788986842360 9965683355760 10196861294125 10380920162250 10456417763430 10601790804000 10678894737120 11072981506400 11123848684500 11153512280992 11324640177000 11502059539773 11746784210832 12236233552950 12457104194700 12547701316116 13051982456480 13348618421400 13841226883000 13941890351240 14683480263540 14831798246000 15099520236000 15336079386364 15571380243375 15684626645145 16314978070600 16609472259600 16685773026750 16730268421488 17427362939050 17798157895200 18354350329425 19170099232955 19577973684720 19931366711520 20393722588250 20761840324500 20912835526860 22247697369000 22649280354000 23004119079546 23493568421664 24472467105900 24914208389400 25095402632232 26141044408575 26697236842800 27682453766000 27883780702480 29366960527080 29663596492000 30590583882375 30672158772728 31142760486750 31369253290290 32629956141200 33218944519200 33371546053500 33460536842976 34506178619319 34854725878100 36708700658850 38340198465910 39155947369440 40787445176500 41523680649000 41825671053720 43568407347625 44495394738000 45298560708000 46008238159092 48944934211800 49828416778800 50190805264464 52282088817150 53394473685600 55364907532000 55767561404960 57510297698865 58733921054160 61181167764750 61344317545456 62285520973500 62738506580580 65259912282400 66743092107000 69012357238638 69709451756200 73417401317700 76680396931820 78423133225725 81574890353000 83047361298000 83651342107440 87136814695250 88990789476000 91771751647125 92016476318184 95850496164775 97889868423600 99656833557600 100381610528928 104564177634300 115020595397730 117467842108320 122362335529500 122688635090912 124571041947000 125477013161160 130705222042875 133486184214000 138024714477276 139418903512400 146834802635400 153360793863640 156846266451450 163149780706000 166094722596000 167302684214880 172530893096595 174273629390500 183543503294250 184032952636368 191700992329550 195779736847200 209128355268600 230041190795460 244724671059000 249142083894000 250954026322320 261410444085750 266972368428000 276049428954552 278837807024800 287551488494325 293669605270800 306721587727280 313692532902900 326299561412000 345061786193190 348547258781000 367087006588500 368065905272736 383401984659100 392115666128625 418256710537200 460082381590920 479252480823875 489449342118000 498284167788000 501908052644640 522820888171500 552098857909104 575102976988650 587339210541600 613443175454560 627385065805800 690123572386380 697094517562000 734174013177000 766803969318200 784231332257250 836513421074400 862654465482975 920164763181840 958504961647750 978898684236000 1045641776343000 1104197715818208 1150205953977300 1254770131611600 1380247144772760 1394189035124000 1437757442471625 1468348026354000 1533607938636400 1568462664514500 1725308930965950 1840329526363680 1917009923295500 2091283552686000 2300411907954600 2509540263223200 2760494289545520 2875514884943250 2936696052708000 3067215877272800 3136925329029000 3450617861931900 3834019846591000 4182567105372000 4313272327414875 4600823815909200 5520988579091040 5751029769886500 6273850658058000 6901235723863800 7668039693182000 8626544654829750 9201647631818400 11502059539773000 12547701316116000 13802471447727600 15336079386364000 17253089309659500 23004119079546000 27604942895455200 34506178619319000 46008238159092000 69012357238638000 138024714477276000
• Sum of all divisors σ(n): 547721564718182400
• Sum of proper divisors (its aliquot sum) s(n): 409696850240906400
• 138024714477276000 is an abundant number, because the sum of its proper divisors (409696850240906400) is greater than itself. Its abundance is 271672135763630400

Bases of 138024714477276000

• Binary: 111101010010111001011111100011100101001001000101101100000₂
• Hexadecimal: 0x1EA5CBF1CA48B60
• Base-36: 11R1OEH78YG0

Squares and roots of 138024714477276000

• 138024714477276000 squared (138024714477276000²) is 19050821806533563025920380176000000
• 138024714477276000 cubed (138024714477276000³) is 2629484240404258396588747887322845032880576000000000
• The square root of 138024714477276000 is 371516775.4991367815
• The cube root of 138024714477276000 is 516795.7726099261

Scales and comparisons

• 138,024,714,477,276,000 seconds is equal to 4,388,758,981 years, 46 weeks, 6 days, 22 hours.
• To count from 1 to 138,024,714,477,276,000 would take you about thirteen billion, one hundred sixty-six million, two hundred seventy-six thousand, nine hundred forty-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 138024714477276000 cubic inches would be around 43066.3 feet tall.

Recreational maths with 138024714477276000

• 138024714477276000 backwards is 000672774417420831
• The number of decimal digits it has is: 18
• The sum of 138024714477276000's digits is 63
• More coming soon!