138824964448576000
138,824,964,448,576,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138824964448576000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2560 divisors.
138824964448576000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, five hundred sixty divisors.
Prime factorization of 138824964448576000:
29 × 53 × 7 × 173 × 127 × 197 × 2521
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 17 × 17 × 17 × 127 × 197 × 2521)See below for interesting mathematical facts about the number 138824964448576000 from the Numbermatics database.
Names of 138824964448576000
- Cardinal: 138824964448576000 can be written as One hundred thirty-eight quadrillion, eight hundred twenty-four trillion, nine hundred sixty-four billion, four hundred forty-eight million, five hundred seventy-six thousand.
Scientific notation
- Scientific notation: 1.38824964448576 × 1017
Factors of 138824964448576000
Divisors of 138824964448576000
- Number of divisors d(n): 2560
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 17 20 25 28 32 34 35 40 50 56 64 68 70 80 85 100 112 119 125 127 128 136 140 160 170 175 197 200 224 238 250 254 256 272 280 289 320 340 350 394 400 425 448 476 500 508 512 544 560 578 595 635 640 680 700 788 800 850 875 889 896 952 985 1000 1016 1088 1120 1156 1190 1270 1280 1360 1379 1400 1445 1576 1600 1700 1750 1778 1792 1904 1970 2000 2023 2032 2125 2159 2176 2240 2312 2380 2521 2540 2560 2720 2758 2800 2890 2975 3152 3175 3200 3349 3400 3500 3556 3584 3808 3940 4000 4046 4064 4250 4318 4352 4445 4480 4624 4760 4913 4925 5042 5080 5440 5516 5600 5780 5950 6304 6350 6400 6698 6800 6895 7000 7112 7225 7616 7880 8000 8092 8128 8500 8636 8704 8890 8960 9248 9520 9826 9850 10084 10115 10160 10795 10880 11032 11200 11560 11900 12605 12608 12700 12800 13396 13600 13790 14000 14224 14450 14875 15113 15232 15760 15875 16000 16184 16256 16745 17000 17272 17647 17780 17920 18496 19040 19652 19700 20168 20230 20320 21590 21760 22064 22225 22400 23120 23443 23800 24565 24625 25019 25210 25216 25400 26792 27200 27580 28000 28448 28900 29750 30226 30464 31520 31750 32000 32368 32512 33490 34000 34391 34475 34544 35294 35560 36125 36703 36992 38080 39304 39400 40336 40460 40640 42857 43180 43520 44128 44450 44800 46240 46886 47600 49130 49250 50038 50420 50432 50575 50800 53584 53975 54400 55160 56000 56896 56933 57800 59500 60452 60928 63025 63040 63500 64000 64736 65024 66980 68000 68782 68950 69088 70588 71120 72250 73406 73984 75565 76160 78608 78800 80672 80920 81280 83725 85714 86360 88235 88256 88900 89600 92480 93772 95200 98260 98500 100076 100840 100864 101150 101600 107168 107950 108800 110320 111125 112000 113792 113866 115600 117215 119000 120904 122825 125095 126050 126080 127000 129472 133960 136000 137564 137900 138176 141176 142240 144500 146812 147968 151130 152320 157216 157600 161344 161840 162560 167450 171428 171955 172375 172720 175133 176470 176512 177800 183515 184960 187544 190400 196520 197000 200152 201680 202300 203200 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40830871896640 41452661824000 43382801390180 43724398251520 44043453188000 46663853596160 48036319878400 49580344445920 50335375072000 51038589870800 54228501737725 54655497814400 55067419456000 58329816995200 60045399848000 61975430557400 63798237338500 64300585664000 65329395034624 68319372268000 68623314112000 69412482224288 70469525100800 72912271244000 77469288196750 78079282592000 79328551113472 81661743793280 86765602780360 88086906376000 96072639756800 99160688891840 100670750144000 102077179741600 108457003475450 109310995628800 116659633990400 120090799696000 123950861114800 127596474677000 136638744536000 138824964448576 140939050201600 145824542488000 154938576393500 156158565184000 158657102226944 163323487586560 173531205560720 176173812752000 198321377783680 204154359483200 216914006950900 218621991257600 233319267980800 240181599392000 247901722229600 255192949354000 271142508688625 273277489072000 277649928897152 291649084976000 309877152787000 326646975173120 347062411121440 352347625504000 396642755567360 408308718966400 433828013901800 480363198784000 495803444459200 510385898708000 542285017377250 546554978144000 555299857794304 583298169952000 619754305574000 694124822242880 704695251008000 793285511134720 816617437932800 867656027803600 991606888918400 1020771797416000 1084570034754500 1093109956288000 1110599715588608 1166596339904000 1239508611148000 1388249644485760 1633234875865600 1735312055607200 1983213777836800 2041543594832000 2169140069509000 2479017222296000 2776499288971520 3470624111214400 3966427555673600 4083087189664000 4338280139018000 4958034444592000 5552998577943040 6941248222428800 8166174379328000 8676560278036000 9916068889184000 13882496444857600 17353120556072000 19832137778368000 27764992889715200 34706241112144000 69412482224288000 138824964448576000
- Sum of all divisors σ(n): 425971912921251840
- Sum of proper divisors (its aliquot sum) s(n): 287146948472675840
- 138824964448576000 is an abundant number, because the sum of its proper divisors (287146948472675840) is greater than itself. Its abundance is 148321984024099840
Bases of 138824964448576000
- Binary: 1111011010011010010010001110100111110100111100010000000002
- Hexadecimal: 0x1ED3491D3E9E200
- Base-36: 11YXCC8MBH8G
Squares and roots of 138824964448576000
- 138824964448576000 squared (1388249644485760002) is 19272370754148390303748427776000000
- 138824964448576000 cubed (1388249644485760003) is 2675486184784426117988692879954054802046976000000000
-
The
square root of 138824964448576000 is 372592222.7430089555 -
The
cube root of 138824964448576000 is 517792.6208936769
Scales and comparisons
How big is 138824964448576000?- 138,824,964,448,576,000 seconds is equal to 4,414,204,455 years, 34 weeks, 12 hours, 26 minutes, 40 seconds.
-
To count from 1 to 138,824,964,448,576,000 would take you about thirteen billion, two hundred forty-two million, six hundred thirteen thousand, three hundred sixty-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 138824964448576000 cubic inches would be around 43149.4 feet tall.
Recreational maths with 138824964448576000
- 138824964448576000 backwards is 000675844469428831
- The number of decimal digits it has is: 18
- The sum of 138824964448576000's digits is 79
- More coming soon!
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"Number 138824964448576000 - Facts about the integer". Numbermatics.com. 2024. Web. 14 May 2024.
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Numbermatics. (2024). Number 138824964448576000 - Facts about the integer. Retrieved 14 May 2024, from https://numbermatics.com/n/138824964448576000/
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The information we have on file for 138824964448576000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 138824964448576000, math, Factors of 138824964448576000, curriculum, school, college, exams, university, Prime factorization of 138824964448576000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, eight hundred twenty-four trillion, nine hundred sixty-four billion, four hundred forty-eight million, five hundred seventy-six thousand.