138511123540025600

Names of 138511123540025600

• Cardinal: 138511123540025600 can be written as One hundred thirty-eight quadrillion, five hundred eleven trillion, one hundred twenty-three billion, five hundred forty million, twenty-five thousand, six hundred.

Scientific notation

• Scientific notation: 1.385111235400256 × 10¹⁷

Factors of 138511123540025600

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 108251354

Divisors of 138511123540025600

• Number of divisors d(n): 540
• Complete list of divisors:
  1 2 4 5 7 8 10 13 14 16 20 25 26 28 32 35 40 50 52 56 64 65 70 80 91 100 104 112 128 130 140 160 169 175 182 200 208 224 256 260 280 320 325 338 350 364 400 416 448 455 520 560 640 650 676 700 728 800 832 845 896 910 1040 1120 1183 1280 1300 1352 1400 1456 1600 1664 1690 1792 1820 2080 2197 2240 2275 2366 2600 2704 2800 2912 3200 3328 3380 3640 4160 4225 4394 4480 4550 4732 5200 5408 5600 5824 5915 6400 6760 7280 8320 8450 8788 8960 9100 9464 10400 10816 10985 11200 11648 11830 13520 14560 15379 16640 16900 17576 18200 18928 20800 21632 21970 22400 23296 23660 27040 28561 29120 29575 30758 33800 35152 36400 37856 41600 43264 43940 44800 47320 54080 54925 57122 58240 59150 61516 67600 70304 72800 75712 76895 83200 87880 94640 108160 109850 114244 116480 118300 123032 135200 140608 142805 145600 151424 153790 175760 189280 199927 216320 219700 228488 236600 246064 270400 281216 285610 291200 302848 307580 351520 378560 384475 399854 439400 456976 473200 492128 540800 562432 571220 582400 615160 703040 714025 757120 768950 799708 878800 913952 946400 984256 999635 1081600 1142440 1230320 1406080 1428050 1514240 1537900 1599416 1757600 1827904 1892800 1968512 1999270 2284880 2460640 2812160 2856100 3075800 3198832 3515200 3655808 3785600 3937024 3998540 4569760 4921280 4998175 5712200 6151600 6397664 7030400 7311616 7571200 7997080 9139520 9842560 9996350 11424400 12303200 12795328 14060800 15994160 18279040 19685120 19992700 22848800 24606400 25590656 31988320 36558080 39985400 45697600 49212800 51181312 63976640 79970800 91395200 98425600 108251327 127953280 159941600 182790400 216502654 255906560 319883200 433005308 541256635 639766400 757759289 866010616 1082513270 1279532800 1407267251 1515518578 1732021232 2165026540 2706283175 2814534502 3031037156 3464042464 3788796445 4330053080 5412566350 5629069004 6062074312 6928084928 7036336255 7577592890 8660106160 9850870757 10825132700 11258138008 12124148624 13856169856 14072672510 15155185780 17320212320 18294474263 18943982225 19701741514 21650265400 22516276016 24248297248 27712339712 28145345020 30310371560 34640424640 35181681275 36588948526 37887964450 39403483028 43300530800 45032552032 48496594496 49254353785 56290690040 60620743120 69280849280 70363362550 73177897052 75775928900 78806966056 86601061600 90065104064 91472371315 96993188992 98508707570 112581380080 121241486240 128061319841 138561698560 140726725100 146355794104 151551857800 157613932112 173202123200 180130208128 182944742630 193986377984 197017415140 225162760160 237828165419 242482972480 246271768925 256122639682 281453450200 292711588208 303103715600 315227864224 346404246400 360260416256 365889485260 394034830280 450325520320 457361856575 475656330838 484965944960 492543537850 512245279364 562906900400 585423176416 606207431200 630455728448 640306599205 692808492800 731778970520 788069660560 900651040640 914723713150 951312661676 969931889920 985087075700 1024490558728 1125813800800 1170846352832 1189140827095 1212414862400 1260911456896 1280613198410 1463557941040 1576139321120 1664797157933 1801302081280 1829447426300 1902625323352 1970174151400 2048981117456 2251627601600 2341692705664 2378281654190 2424829724800 2521822913792 2561226396820 2927115882080 3091766150447 3152278642240 3201532996025 3329594315866 3658894852600 3805250646704 3940348302800 4097962234912 4503255203200 4683385411328 4756563308380 4849659449600 5122452793640 5854231764160 5945704135475 6183532300894 6304557284480 6403065992050 6659188631732 7317789705200 7610501293408 7880696605600 8195924469824 8323985789665 9006510406400 9513126616760 10244905587280 11708463528320 11891408270950 12367064601788 12609114568960 12806131984100 13318377263464 14635579410400 15221002586816 15458830752235 15761393211200 16391848939648 16647971579330 19026253233520 20489811174560 21642363053129 23416927056640 23782816541900 24734129203576 25612263968200 26636754526928 29271158820800 30442005173632 30917661504470 31522786422400 32783697879296 33295943158660 38052506467040 40979622349120 41619928948325 43284726106258 47565633083800 49468258407152 51224527936400 53273509053856 58542317641600 60884010347264 61835323008940 63045572844800 66591886317320 76105012934080 77294153761175 81959244698240 83239857896650 86569452212516 95131266167600 98936516814304 102449055872800 106547018107712 108211815265645 117084635283200 123670646017880 133183772634640 152210025868160 154588307522350 163918489396480 166479715793300 173138904425032 190262532335200 197873033628608 204898111745600 213094036215424 216423630531290 247341292035760 266367545269280 304420051736320 309176615044700 332959431586600 346277808850064 380525064670400 395746067257216 409796223491200 426188072430848 432847261062580 494682584071520 532735090538560 541059076328225 618353230089400 665918863173200 692555617700128 761050129340800 791492134514432 819592446982400 865694522125160 989365168143040 1065470181077120 1082118152656450 1236706460178800 1331837726346400 1385111235400256 1522100258681600 1731389044250320 1978730336286080 2130940362154240 2164236305312900 2473412920357600 2663675452692800 2770222470800512 3462778088500640 3957460672572160 4328472610625800 4946825840715200 5327350905385600 5540444941601024 6925556177001280 8656945221251600 9893651681430400 10654701810771200 13851112354002560 17313890442503200 19787303362860800 27702224708005120 34627780885006400 69255561770012800 138511123540025600
• Sum of all divisors σ(n): 424463313154911744
• Sum of proper divisors (its aliquot sum) s(n): 285952189614886144
• 138511123540025600 is an abundant number, because the sum of its proper divisors (285952189614886144) is greater than itself. Its abundance is 147441066074860544

Bases of 138511123540025600

• Binary: 111101100000101110010001000001100000010110010000100000000₂
• Hexadecimal: 0x1EC17220C0B2100
• Base-36: 11VU3FPSI03K

Squares and roots of 138511123540025600

• 138511123540025600 squared (138511123540025600²) is 19185331344320233901125248655360000
• 138511123540025600 cubed (138511123540025600³) is 2657381799989465339682870059503656649539977216000000
• The square root of 138511123540025600 is 372170825.7507909499
• The cube root of 138511123540025600 is 517402.1360867343

Scales and comparisons

• 138,511,123,540,025,600 seconds is equal to 4,404,225,285 years, 27 weeks, 6 days, 11 hours, 33 minutes, 20 seconds.
• To count from 1 to 138,511,123,540,025,600 would take you about thirteen billion, two hundred twelve million, six hundred seventy-five thousand, eight hundred fifty-six 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 138511123540025600 cubic inches would be around 43116.8 feet tall.

Recreational maths with 138511123540025600

• 138511123540025600 backwards is 006520045321115831
• The number of decimal digits it has is: 18
• The sum of 138511123540025600's digits is 47
• More coming soon!