13072057134192000
13,072,057,134,192,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13072057134192000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 3072 divisors.
13072057134192000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand and seventy-two divisors.
Prime factorization of 13072057134192000:
27 × 32 × 53 × 73 × 79 × 409 × 8191
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 7 × 79 × 409 × 8191)See below for interesting mathematical facts about the number 13072057134192000 from the Numbermatics database.
Names of 13072057134192000
- Cardinal: 13072057134192000 can be written as Thirteen quadrillion, seventy-two trillion, fifty-seven billion, one hundred thirty-four million, one hundred ninety-two thousand.
Scientific notation
- Scientific notation: 1.3072057134192 × 1016
Factors of 13072057134192000
Divisors of 13072057134192000
- Number of divisors d(n): 3072
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 32 35 36 40 42 45 48 49 50 56 60 63 64 70 72 75 79 80 84 90 96 98 100 105 112 120 125 126 128 140 144 147 150 158 160 168 175 180 192 196 200 210 224 225 237 240 245 250 252 280 288 294 300 315 316 320 336 343 350 360 375 384 392 395 400 409 420 441 448 450 474 480 490 500 504 525 553 560 576 588 600 630 632 640 672 686 700 711 720 735 750 784 790 800 818 840 875 882 896 900 948 960 980 1000 1008 1029 1050 1106 1120 1125 1152 1176 1185 1200 1225 1227 1260 1264 1344 1372 1400 1422 1440 1470 1500 1568 1575 1580 1600 1636 1659 1680 1715 1750 1764 1800 1896 1920 1960 1975 2000 2016 2045 2058 2100 2205 2212 2240 2250 2352 2370 2400 2450 2454 2520 2528 2625 2688 2744 2765 2800 2844 2863 2880 2940 3000 3087 3136 3150 3160 3200 3272 3318 3360 3430 3500 3528 3555 3600 3675 3681 3792 3871 3920 3950 4000 4032 4090 4116 4200 4410 4424 4480 4500 4704 4740 4800 4900 4908 4977 5040 5056 5145 5250 5488 5530 5600 5688 5726 5760 5880 5925 6000 6125 6135 6174 6272 6300 6320 6544 6636 6720 6860 7000 7056 7110 7200 7350 7362 7584 7742 7840 7875 7900 8000 8064 8180 8191 8232 8295 8400 8575 8589 8820 8848 9000 9408 9480 9600 9800 9816 9875 9954 10080 10112 10225 10290 10500 10976 11025 11060 11200 11376 11452 11613 11760 11850 12000 12250 12270 12348 12600 12640 13088 13272 13440 13720 13825 14000 14112 14220 14315 14400 14700 14724 15168 15435 15484 15680 15750 15800 16000 16360 16382 16464 16590 16800 17150 17178 17640 17696 17775 18000 18375 18405 18816 18960 19355 19600 19632 19750 19908 20041 20160 20450 20580 21000 21952 22050 22120 22400 22752 22904 23226 23520 23700 24000 24500 24540 24573 24696 24885 25200 25280 25725 25767 26176 26544 27097 27440 27650 28000 28224 28440 28630 28800 29400 29448 29625 30336 30675 30870 30968 31360 31500 31600 32311 32720 32764 32928 33180 33600 34300 34356 34839 35280 35392 35550 36000 36750 36810 37920 38710 39200 39264 39500 39816 40082 40320 40900 40955 41160 41475 42000 42875 42945 43904 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6894544902000 7262253963440 7410463228000 7469746933824 7622190748800 7780986389400 7879479888000 7990254972000 8170035708870 8273453882400 8299718815360 8336771131500 8714704756128 8892555873600 9077817454300 9192726536000 9337183667280 9527738436000 9726232986750 10341817353000 10374648519200 10653673296000 10671067048320 10893380945160 11031271843200 11115694842000 11347271817875 11619606341504 11671479584100 11819219832000 12449578223040 12703651248000 12968310649000 13072057134192 13338833810400 13616726181450 13789089804000 14524507926880 14589349480125 14820926456000 14939493867648 15561972778800 15980509944000 16340071417740 16546907764800 16673542263000 17429409512256 17785111747200 18155634908600 18385453072000 18674367334560 19055476872000 19452465973500 20425089272175 20683634706000 20749297038400 21786761890320 22231389684000 22694543635750 23342959168200 23638439664000 24899156446080 25936621298000 26144114268384 26677667620800 27233452362900 27578179608000 29049015853760 29178698960250 29641852912000 31123945557600 31961019888000 32680142835480 33093815529600 33347084526000 34041815453625 34858819024512 36311269817200 37348734669120 38110953744000 38904931947000 40850178544350 41367269412000 41498594076800 43573523780640 44462779368000 45389087271500 46685918336400 51873242596000 52288228536768 53355335241600 54466904725800 55156359216000 58098031707520 58357397920500 62247891115200 65360285670960 66694169052000 68083630907250 72622539634400 74697469338240 77809863894000 81700357088700 82734538824000 87147047561280 88925558736000 90778174543000 93371836672800 102125446360875 103746485192000 104576457073536 108933809451600 116714795841000 124495782230400 130720571341920 133388338104000 136167261814500 145245079268800 155619727788000 163400714177400 165469077648000 174294095122560 181556349086000 186743673345600 204250892721750 207492970384000 217867618903200 233429591682000 261441142683840 266776676208000 272334523629000 290490158537600 311239455576000 326801428354800 363112698172000 373487346691200 408501785443500 435735237806400 466859183364000 522882285367680 544669047258000 622478911152000 653602856709600 726225396344000 817003570887000 871470475612800 933718366728000 1089338094516000 1307205713419200 1452450792688000 1634007141774000 1867436733456000 2178676189032000 2614411426838400 3268014283548000 4357352378064000 6536028567096000 13072057134192000
- Sum of all divisors σ(n): 55581710745600000
- Sum of proper divisors (its aliquot sum) s(n): 42509653611408000
- 13072057134192000 is an abundant number, because the sum of its proper divisors (42509653611408000) is greater than itself. Its abundance is 29437596477216000
Bases of 13072057134192000
- Binary: 1011100111000011110111011110011111011110010101100000002
- Hexadecimal: 0x2E70F779F79580
- Base-36: 3KPNO576N40
Squares and roots of 13072057134192000
- 13072057134192000 squared (130720571341920002) is 170878677719579963895492864000000
- 13072057134192000 cubed (130720571341920003) is 2233735838165530824645699276365226405888000000000
-
The
square root of 13072057134192000 is 114333097.2824229931 -
The
cube root of 13072057134192000 is 235567.1055840757
Scales and comparisons
How big is 13072057134192000?- 13,072,057,134,192,000 seconds is equal to 415,650,982 years, 17 weeks, 4 days, 16 hours.
-
To count from 1 to 13,072,057,134,192,000 would take you about one billion, two hundred forty-six million, nine hundred fifty-two thousand, nine hundred forty-seven 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 13072057134192000 cubic inches would be around 19630.6 feet tall.
Recreational maths with 13072057134192000
- 13072057134192000 backwards is 00029143175027031
- 13072057134192000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13072057134192000's digits is 45
- More coming soon!
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MLA style:
"Number 13072057134192000 - Facts about the integer". Numbermatics.com. 2024. Web. 19 June 2024.
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Numbermatics. (2024). Number 13072057134192000 - Facts about the integer. Retrieved 19 June 2024, from https://numbermatics.com/n/13072057134192000/
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Numbermatics. 2024. "Number 13072057134192000 - Facts about the integer". https://numbermatics.com/n/13072057134192000/
The information we have on file for 13072057134192000 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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