138513410181120

Names of 138513410181120

• Cardinal: 138513410181120 can be written as One hundred thirty-eight trillion, five hundred thirteen billion, four hundred ten million, one hundred eighty-one thousand, one hundred twenty.

Scientific notation

• Scientific notation: 1.3851341018112 × 10¹⁴

Factors of 138513410181120

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 5512

Divisors of 138513410181120

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 107 120 128 130 156 160 192 195 208 214 240 256 260 312 320 321 384 390 416 428 480 512 520 535 624 640 642 691 768 780 832 856 960 1024 1040 1070 1248 1280 1284 1382 1391 1536 1560 1605 1664 1712 1920 2048 2073 2080 2140 2496 2560 2568 2764 2782 3072 3120 3210 3328 3424 3455 3840 4146 4160 4173 4280 4691 4992 5120 5136 5528 5564 6144 6240 6420 6656 6848 6910 6955 7680 8292 8320 8346 8560 8983 9382 9984 10240 10272 10365 11056 11128 12480 12840 13312 13696 13820 13910 14073 15360 16584 16640 16692 17120 17966 18764 19968 20544 20730 20865 22112 22256 23455 24960 25680 26624 26949 27392 27640 27820 28146 30720 33168 33280 33384 34240 35932 37528 39936 41088 41460 41730 44224 44512 44915 46910 49920 51360 53898 54784 55280 55640 56292 60983 66336 66560 66768 68480 70365 71864 73937 75056 79872 82176 82920 83460 88448 89024 89830 93820 99840 102720 107796 109568 110560 111280 112584 121966 132672 133120 133536 134745 136960 140730 143728 147874 150112 164352 165840 166920 176896 178048 179660 182949 187640 199680 205440 215592 219136 221120 221811 222560 225168 243932 265344 267072 269490 273920 281460 287456 295748 300224 304915 328704 331680 333840 353792 356096 359320 365898 369685 375280 399360 410880 431184 442240 443622 445120 450336 487864 501937 530688 534144 538980 547840 562920 574912 591496 600448 609830 657408 663360 667680 707584 712192 718640 731796 739370 750560 821760 862368 884480 887244 890240 900672 914745 961181 975728 1003874 1061376 1068288 1077960 1095680 1109055 1125840 1149824 1182992 1200896 1219660 1326720 1335360 1415168 1424384 1437280 1463592 1478740 1501120 1505811 1643520 1724736 1768960 1774488 1780480 1801344 1829490 1922362 1951456 2007748 2122752 2136576 2155920 2218110 2251680 2299648 2365984 2401792 2439320 2509685 2653440 2670720 2848768 2874560 2883543 2927184 2957480 3002240 3011622 3241481 3287040 3449472 3537920 3548976 3560960 3602688 3658980 3844724 3902912 4015496 4245504 4273152 4311840 4436220 4503360 4599296 4731968 4803584 4805905 4878640 5019370 5306880 5341440 5749120 5767086 5854368 5914960 6004480 6023244 6482962 6525181 6898944 7075840 7097952 7121920 7205376 7317960 7529055 7689448 7805824 8030992 8546304 8623680 8872440 9006720 9198592 9463936 9607168 9611810 9724443 9757280 10038740 10613760 10682880 11498240 11534172 11708736 11829920 12008960 12046488 12965924 13050362 13797888 14195904 14243840 14410752 14417715 14635920 15058110 15378896 15611648 16061984 16207405 17247360 17744880 18013440 18397184 18927872 19223620 19448886 19514560 19575543 20077480 21227520 21365760 22996480 23068344 23417472 23659840 24017920 24092976 25931848 26100724 27595776 28391808 28821504 28835430 29271840 30116220 30757792 31223296 32123968 32414810 32625905 34494720 35489760 36026880 37855744 38447240 38897772 39029120 39151086 40154960 42139253 42731520 45992960 46136688 46834944 47319680 48035840 48185952 48622215 51863696 52201448 55191552 56783616 57670860 58543680 60232440 61515584 62446592 64247936 64829620 65251810 68989440 70979520 72053760 75711488 76894480 77795544 78058240 78302172 80309920 84278506 91985920 92273376 93669888 94639360 96371904 97244430 97877715 103727392 104402896 113567232 115341720 117087360 120464880 123031168 124893184 126417759 128495872 129659240 130503620 137978880 141959040 144107520 151422976 153788960 155591088 156116480 156604344 160619840 168557012 184546752 187339776 189278720 192743808 194488860 195755430 207454784 208805792 210696265 227134464 230683440 234174720 240929760 246062336 252835518 256991744 259318480 261007240 275957760 283918080 307577920 311182176 312232960 313208688 321239680 337114024 346838467 369093504 374679552 378557440 385487616 388977720 391510860 414909568 417611584 421392530 454268928 461366880 468349440 481859520 492124672 505671036 513983488 518636960 522014480 567836160 615155840 622364352 624465920 626417376 632088795 642479360 674228048 693676934 738187008 757114880 770975232 777955440 783021720 829819136 835223168 842785060 922733760 936698880 963719040 984249344 1011342072 1027966976 1037273920 1040515401 1044028960 1135672320 1230311680 1244728704 1252834752 1264177590 1284958720 1348456096 1387353868 1476374016 1541950464 1555910880 1566043440 1659638272 1670446336 1685570120 1734192335 1845467520 1873397760 1927438080 1968498688 2022684144 2074547840 2081030802 2088057920 2271344640 2460623360 2489457408 2505669504 2528355180 2569917440 2696912192 2774707736 2952748032 3083900928 3111821760 3132086880 3319276544 3340892672 3371140240 3468384670 3690935040 3854876160 4045368288 4149095680 4162061604 4176115840 4508900071 4921246720 4978914816 5011339008 5056710360 5139834880 5202577005 5393824384 5549415472 5905496064 6223643520 6264173760 6638553088 6681785344 6742280480 6936769340 7381870080 7709752320 8090736576 8298191360 8324123208 8352231680 9017800142 9842493440 9957829632 10022678016 10113420720 10405154010 10787648768 11098830944 12447287040 12528347520 13363570688 13484560960 13526700213 13873538680 14763740160 15419504640 16181473152 16596382720 16648246416 16704463360 18035600284 19915659264 20045356032 20226841440 20810308020 21575297536 22197661888 22544500355 24894574080 25056695040 26969121920 27053400426 27747077360 29527480320 32362946304 33192765440 33296492832 33408926720 36071200568 40090712064 40453682880 41620616040 43150595072 44395323776 45089000710 49789148160 50113390080 53938243840 54106800852 55494154720 64725892608 66592985664 66817853440 67633501065 72142401136 80907365760 83241232080 86301190144 88790647552 90178001420 99578296320 100226780160 107876487680 108213601704 110988309440 129451785216 133185971328 135267002130 144284802272 161814731520 166482464160 177581295104 180356002840 200453560320 215752975360 216427203408 221976618880 258903570432 266371942656 270534004260 288569604544 323629463040 332964928320 355162590208 360712005680 431505950720 432854406816 443953237760 532743885312 541068008520 577139209088 647258926080 665929856640 710325180416 721424011360 865708813632 887906475520 1065487770624 1082136017040 1154278418176 1294517852160 1331859713280 1442848022720 1731417627264 1775812951040 2130975541248 2164272034080 2308556836352 2663719426560 2885696045440 3462835254528 3551625902080 4328544068160 4617113672704 5327438853120 5771392090880 6925670509056 8657088136320 9234227345408 10654877706240 11542784181760 13851341018112 17314176272640 23085568363520 27702682036224 34628352545280 46171136727040 69256705090560 138513410181120
• Sum of all divisors σ(n): 482481912407040
• Sum of proper divisors (its aliquot sum) s(n): 343968502225920
• 138513410181120 is an abundant number, because the sum of its proper divisors (343968502225920) is greater than itself. Its abundance is 205455092044800

Bases of 138513410181120

• Binary: 11111011111101000101010100111000100100000000000₂
• Hexadecimal: 0x7DFA2A9C4800
• Base-36: 1D3K6K40LC

Squares and roots of 138513410181120

• 138513410181120 squared (138513410181120²) is 19185964800003197671204454400
• 138513410181120 cubed (138513410181120³) is 2657513412063372864919166948342054780928000
• The square root of 138513410181120 is 11769172.0261503527
• The cube root of 138513410181120 is 51740.4983286405

Scales and comparisons

• 138,513,410,181,120 seconds is equal to 4,404,297 years, 51 weeks, 4 days, 16 hours, 32 minutes.
• To count from 1 to 138,513,410,181,120 would take you about eleven million, ten thousand, seven hundred forty-four 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 138513410181120 cubic inches would be around 4311.7 feet tall.

Recreational maths with 138513410181120

• 138513410181120 backwards is 021181014315831
• 138513410181120 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 138513410181120's digits is 39
• More coming soon!