138720832716375

Names of 138720832716375

• Cardinal: 138720832716375 can be written as One hundred thirty-eight trillion, seven hundred twenty billion, eight hundred thirty-two million, seven hundred sixteen thousand, three hundred seventy-five.

Scientific notation

• Scientific notation: 1.38720832716375 × 10¹⁴

Factors of 138720832716375

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 534

Divisors of 138720832716375

• Number of divisors d(n): 768
• Complete list of divisors:
  1 3 5 7 9 13 15 21 25 27 35 39 43 45 49 63 65 75 91 105 117 125 129 135 147 175 189 195 215 225 245 273 301 315 325 343 351 375 387 441 455 463 525 559 585 637 645 675 735 819 875 903 945 975 1029 1075 1125 1161 1225 1323 1365 1389 1505 1575 1625 1677 1715 1755 1911 1935 2107 2205 2275 2315 2457 2625 2709 2795 2925 3087 3185 3225 3241 3375 3675 3913 4095 4167 4459 4515 4725 4875 5031 5145 5375 5733 5805 6019 6125 6321 6615 6825 6945 7525 7875 8127 8385 8575 8775 9261 9555 9675 9723 10535 11025 11375 11575 11739 12285 12501 13377 13545 13975 14625 14749 15093 15435 15925 16125 16205 17199 18057 18375 18963 19565 19909 20475 20835 22295 22575 22687 23625 25155 25725 27391 28665 29025 29169 30095 31605 33075 34125 34725 35217 37625 40131 40635 41925 42133 42875 43875 44247 46305 47775 48375 48615 52675 54171 55125 56889 57875 58695 59727 61425 62505 66885 67725 68061 69875 73745 75465 77175 79625 81025 82173 85995 87507 90285 94815 97825 99545 102375 104175 105651 111475 112875 113435 120393 125775 126399 128625 132741 136955 139363 143325 145125 145845 150475 158025 158809 162513 165375 173625 176085 179181 191737 200655 203175 204183 209625 210665 214369 221235 231525 238875 243075 246519 258817 263375 270855 284445 293475 294931 298635 307125 312525 334425 338625 340305 368725 377325 379197 385875 398223 405125 410865 418089 429975 437535 451425 474075 476427 489125 497725 520875 528255 537543 557375 567175 575211 601965 612549 628875 631995 643107 663705 684775 696815 716625 729225 739557 752375 776451 790125 794045 812565 880425 884793 895905 958685 975541 1003275 1015875 1020915 1053325 1071845 1106175 1137591 1157625 1215375 1232595 1254267 1294085 1354275 1422225 1429281 1467375 1474655 1493175 1500583 1562625 1672125 1701525 1725633 1811719 1843625 1886625 1895985 1929321 1991115 2054325 2064517 2090445 2149875 2187675 2257125 2329353 2370375 2382135 2488625 2641275 2654379 2687715 2786797 2835875 2876055 2926623 3009825 3062745 3159975 3215535 3318525 3423875 3484075 3646125 3697785 3762801 3882255 3970225 4062825 4287843 4402125 4423965 4479525 4501749 4793425 4877705 5016375 5104575 5176899 5266625 5359225 5435157 5530875 5687955 5787963 6162975 6193551 6271335 6470425 6771375 6828787 6988059 7111125 7146405 7373275 7465875 7502915 7963137 8360391 8507625 8628165 8779869 9058595 9217867 9479925 9646605 9955575 10271625 10322585 10452225 10504081 10938375 11646765 11910675 12682033 13206375 13271895 13438575 13505247 13933985 14380275 14633115 15049125 15313725 15799875 16077675 16305471 16592625 17420375 18488925 18580653 18814005 19411275 19507579 19851125 20314125 20486361 21439215 22119825 22397625 22508745 23967125 24388525 25081173 25522875 25884495 26339607 26796125 27175785 27653601 28439775 28939815 30814875 30967755 31356675 31512243 32352125 34143935 34940295 35732025 36866375 37514575 38046099 39815685 40515741 41801955 43140825 43899345 45292975 46089335 47399625 48233025 48916413 49777875 51612925 52261125 52520405 55741959 58233825 58522737 59553375 61459083 63410165 64525069 66359475 67192875 67526235 69669925 71901375 73165575 73528567 75243519 76568625 80388375 81527355 82960803 88774231 92444625 92903265 94070025 94536729 97056375 97537895 102431805 107196075 110599125 112543725 114138297 119832271 121942625 125405865 129422475 131698035 135878925 136553053 138268005 142198875 144699075 154838775 156783375 157561215 170719675 174701475 175568211 178660125 184377249 187572875 190230495 193575207 199078425 202578705 209009775 215704125 219496725 220585701 226464875 230446675 241165125 244582065 248882409 258064625 262602025 266322693 278709795 283610187 291169125 292613685 307295415 317050825 322625345 331797375 337631175 342414891 348349625 359496813 365827875 367642835 376217595 407636775 409659159 414804015 443871155 451675483 464516325 470350125 472683645 487689475 512159025 526704633 535980375 562718625 570691485 580725621 599161355 627029325 647112375 658490175 661757103 679394625 682765265 691340025 723495375 774193875 787806075 798968079 838825897 853598375 873507375 877841055 921886245 951152475 955871371 967876035 995392125 1012893525 1045048875 1078490439 1097483625 1102928505 1152233375 1222910325 1228977477 1244412045 1313010125 1331613465 1355026449 1393548975 1418050935 1463068425 1536477075 1585254125 1613126725 1688155875 1712074455 1742176863 1797484065 1838214175 1881087975 1985271309 2038183875 2048295795 2074020075 2219355775 2258377415 2322581625 2363418225 2396904237 2438447375 2516477691 2560795125 2633523165 2853457425 2867614113 2903628105 2995806775 3135146625 3161728381 3235471317 3292450875 3308785515 3413826325 3456700125 3686932431 3939030375 3994840395 4065079347 4194129485 4389205275 4609431225 4755762375 4779356855 4839380175 5064467625 5392452195 5514642525 5871781279 6114551625 6144887385 6222060225 6658067325 6775132245 6967744875 7090254675 7315342125 7549433073 7682385375 8065633625 8560372275 8602842339 8710884315 8987420325 9191070875 9405439875 9485185143 9926356545 10241478975 10370100375 11096778875 11291887075 11817091125 11984521185 12195238041 12582388455 13167615825 14267287125 14338070565 14518140525 14979033875 15808641905 16177356585 16543927575 17069131625 17615343837 18434662155 19974201975 20325396735 20970647425 21946026375 22648299219 23047156125 23896784275 24196900875 25808527017 26962260975 27573212625 28455555429 29358906395 30724436925 31110301125 33290336625 33875661225 35451273375 37747165365 41102468953 42801861375 43014211695 43554421575 44937101625 47425925715 49631782725 51207394875 52846031511 56459435375 59922605925 60976190205 62911942275 65838079125 71690352825 72590702625 79043209525 80886782925 82719637875 85366666287 88076719185 92173310775 99871009875 101626983675 104853237125 113241496095 119483921375 123307406859 129042635085 134811304875 142277777145 146794531975 153622184625 158538094533 169378306125 188735826825 205512344765 215071058475 217772107875 237129628575 248158913625 264230157555 299613029625 304880951025 314559711375 358451764125 369922220577 395216047625 404433914625 426833331435 440383595925 460866553875 508134918375 566207480475 616537034295 645213175425 711388885725 733972659875 792690472665 943679134125 1027561723825 1075355292375 1109766661731 1185648142875 1321150787775 1524404755125 1849611102885 2134166657175 2201917979625 2831037402375 3082685171475 3226065877125 3556944428625 3963452363325 5137808619125 5548833308655 6605753938875 9248055514425 10670833285875 15413425857375 19817261816625 27744166543275 46240277572125 138720832716375
• Sum of all divisors σ(n): 330313471488000
• Sum of proper divisors (its aliquot sum) s(n): 191592638771625
• 138720832716375 is an abundant number, because the sum of its proper divisors (191592638771625) is greater than itself. Its abundance is 52871806055250

Bases of 138720832716375

• Binary: 11111100010101001110101111101001111111001010111₂
• Hexadecimal: 0x7E2A75F4FE57
• Base-36: 1D67GY4T3R

Squares and roots of 138720832716375

• 138720832716375 squared (138720832716375²) is 19243469429524496561193140625
• 138720832716375 cubed (138720832716375³) is 2669470103615743939925462604217736115234375
• The square root of 138720832716375 is 11777980.8420787899
• The cube root of 138720832716375 is 51766.3124181241

Scales and comparisons

• 138,720,832,716,375 seconds is equal to 4,410,893 years, 20 weeks, 1 day, 11 hours, 26 minutes, 15 seconds.
• To count from 1 to 138,720,832,716,375 would take you about eleven million, twenty-seven thousand, two hundred thirty-three 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 138720832716375 cubic inches would be around 4313.9 feet tall.

Recreational maths with 138720832716375

• 138720832716375 backwards is 573617238027831
• 138720832716375 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 138720832716375's digits is 63
• More coming soon!