138824207970383600
138,824,207,970,383,600 is an even composite number composed of six prime numbers multiplied together.
What does the number 138824207970383600 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2160 divisors.
138824207970383600 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 138824207970383600:
24 × 52 × 73 × 173 × 1132 × 1272
(2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 7 × 17 × 17 × 17 × 113 × 113 × 127 × 127)See below for interesting mathematical facts about the number 138824207970383600 from the Numbermatics database.
Names of 138824207970383600
- Cardinal: 138824207970383600 can be written as One hundred thirty-eight quadrillion, eight hundred twenty-four trillion, two hundred seven billion, nine hundred seventy million, three hundred eighty-three thousand, six hundred.
Scientific notation
- Scientific notation: 1.388242079703836 × 1017
Factors of 138824207970383600
Divisors of 138824207970383600
- Number of divisors d(n): 2160
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 17 20 25 28 34 35 40 49 50 56 68 70 80 85 98 100 112 113 119 127 136 140 170 175 196 200 226 238 245 254 272 280 289 340 343 350 392 400 425 452 476 490 508 560 565 578 595 635 680 686 700 784 791 833 850 889 904 952 980 1016 1130 1156 1190 1225 1270 1360 1372 1400 1445 1582 1666 1700 1715 1778 1808 1904 1921 1960 2023 2032 2159 2260 2312 2380 2450 2540 2744 2800 2825 2890 2975 3164 3175 3332 3400 3430 3556 3842 3920 3955 4046 4165 4318 4445 4520 4624 4760 4900 4913 5080 5488 5537 5650 5780 5831 5950 6223 6328 6350 6664 6800 6860 7112 7225 7684 7910 8092 8330 8575 8636 8890 9040 9520 9605 9800 9826 10115 10160 10795 11074 11300 11560 11662 11900 12446 12656 12700 12769 13328 13447 13720 14161 14224 14351 14450 15113 15368 15820 16129 16184 16660 17150 17272 17780 19210 19600 19652 19775 20230 20825 21590 22148 22225 22600 23120 23324 23800 24565 24892 25400 25538 26894 27440 27685 28322 28702 28900 29155 30226 30736 31115 31640 32258 32368 32657 33320 34300 34391 34544 35560 36703 38420 38759 39304 39550 40460 41650 43180 43561 44296 44450 45200 46648 47600 48025 49130 49784 50575 50800 51076 53788 53975 55370 56644 57404 57800 58310 60452 62230 63280 63845 64516 65314 66640 67235 68600 68782 70805 71120 71755 73406 75565 76840 77518 78608 79100 80645 80920 83300 86360 87122 88592 88900 89383 93296 94129 96050 98260 99127 99568 100457 101150 102152 105791 107576 107950 110740 112903 113288 114808 115600 116620 120904 122825 124460 127690 129032 130628 134470 137200 137564 138425 141610 143510 145775 146812 151130 153680 155036 155575 158200 161290 161840 163285 166600 171955 172720 174244 177800 178766 183515 188258 192100 193795 196520 198254 200914 202300 204304 211582 215152 215900 217073 217805 221480 225806 226576 228599 229616 233240 240737 241808 243967 245650 248920 255380 256921 258064 261256 268940 274193 275128 276850 283220 287020 291550 293624 302260 310072 311150 316400 319225 322580 326570 333200 336175 343910 348488 354025 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31231542850480 32150117640200 33331142369840 34311470086600 35100937539920 35414338767955 36133318055800 39039428563100 40473530020520 40830649403054 41663927962300 43724159990672 43876171924900 46663599317776 48036058121240 49141312555888 49580074275137 50591912525650 54655199988340 56662942028728 58329499147220 60045072651550 61426640694860 64300235280400 68318999985425 68622940173200 70828677535910 72266636111600 72911873934025 76783300868575 78078857126200 80947060041040 81661298806108 83327855924600 87752343849800 96072116242480 99160148550274 101183825051300 102076623507635 109310399976680 113325884057456 116658998294440 120090145303100 122853281389720 136637999970850 141657355071820 145823747868050 153566601737150 156157714252400 163322597612216 166655711849200 175504687699600 177071693839775 198320297100548 202367650102600 204153247015270 218620799953360 233317996588880 240180290606200 245706562779440 247900371375685 273275999941700 283314710143640 291647495736100 307133203474300 326645195224432 347060519925959 354143387679550 396640594201096 404735300205200 408306494030540 480360581212400 495800742751370 510383117538175 546551999883400 566629420287280 583294991472200 614266406948600 694121039851918 708286775359100 793281188402192 816612988061080 991601485502740 1020766235076350 1093103999766800 1166589982944400 1228532813897200 1239501856878425 1388242079703836 1416573550718200 1633225976122160 1735302599629795 1983202971005480 2041532470152700 2479003713756850 2776484159407672 2833147101436400 3470605199259590 3966405942010960 4083064940305400 4958007427513700 5552968318815344 6941210398519180 8166129880610800 8676512998148975 9916014855027400 13882420797038360 17353025996297950 19832029710054800 27764841594076720 34706051992595900 69412103985191800 138824207970383600
- Sum of all divisors σ(n): 420253456898808000
- Sum of proper divisors (its aliquot sum) s(n): 281429248928424400
- 138824207970383600 is an abundant number, because the sum of its proper divisors (281429248928424400) is greater than itself. Its abundance is 142605040958040800
Bases of 138824207970383600
- Binary: 1111011010011001111100001101100100100110010110110111100002
- Hexadecimal: 0x1ED33E1B24CB6F0
- Base-36: 11YX2OPUQGA8
Squares and roots of 138824207970383600
- 138824207970383600 squared (1388242079703836002) is 19272160718604317453254731148960000
- 138824207970383600 cubed (1388242079703836003) is 2675442447638183215122192166584728604079941056000000
-
The
square root of 138824207970383600 is 372591207.5859863873 -
The
cube root of 138824207970383600 is 517791.6803819111
Scales and comparisons
How big is 138824207970383600?- 138,824,207,970,383,600 seconds is equal to 4,414,180,401 years, 51 weeks, 2 days, 21 hours, 13 minutes, 20 seconds.
-
To count from 1 to 138,824,207,970,383,600 would take you about thirteen billion, two hundred forty-two million, five hundred forty-one thousand, two hundred 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 138824207970383600 cubic inches would be around 43149.3 feet tall.
Recreational maths with 138824207970383600
- 138824207970383600 backwards is 006383079702428831
- The number of decimal digits it has is: 18
- The sum of 138824207970383600's digits is 71
- More coming soon!
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"Number 138824207970383600 - Facts about the integer". Numbermatics.com. 2024. Web. 20 September 2024.
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The information we have on file for 138824207970383600 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!
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