138194916123765312
138,194,916,123,765,312 is an even composite number composed of five prime numbers multiplied together.
138194916123765312 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred fifty-two divisors.
Prime factorization of 138194916123765312:
26 × 32 × 72 × 199 × 24604833287
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 199 × 24604833287)See below for interesting mathematical facts about the number 138194916123765312 from the Numbermatics database.
Names of 138194916123765312
- Cardinal: 138194916123765312 can be written as One hundred thirty-eight quadrillion, one hundred ninety-four trillion, nine hundred sixteen billion, one hundred twenty-three million, seven hundred sixty-five thousand, three hundred twelve.
Scientific notation
- Scientific notation: 1.38194916123765312 × 1017
Factors of 138194916123765312
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 12
- Sum of prime factors: 24604833498
Divisors of 138194916123765312
- Number of divisors d(n): 252
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 144 147 168 192 196 199 224 252 288 294 336 392 398 441 448 504 576 588 597 672 784 796 882 1008 1176 1194 1344 1393 1568 1592 1764 1791 2016 2352 2388 2786 3136 3184 3528 3582 4032 4179 4704 4776 5572 6368 7056 7164 8358 9408 9552 9751 11144 12537 12736 14112 14328 16716 19104 19502 22288 25074 28224 28656 29253 33432 38208 39004 44576 50148 57312 58506 66864 78008 87759 89152 100296 114624 117012 133728 156016 175518 200592 234024 267456 312032 351036 401184 468048 624064 702072 802368 936096 1404144 1872192 2808288 5616576 24604833287 49209666574 73814499861 98419333148 147628999722 172233833009 196838666296 221443499583 295257999444 344467666018 393677332592 442886999166 516701499027 590515998888 688935332036 787354665184 885773998332 1033402998054 1181031997776 1205636831063 1377870664072 1550104497081 1574709330368 1771547996664 2066805996108 2362063995552 2411273662126 2755741328144 3100208994162 3543095993328 3616910493189 4133611992216 4724127991104 4822547324252 4896361824113 5511482656288 6200417988324 7086191986656 7233820986378 8267223984432 9645094648504 9792723648226 10850731479567 11022965312576 12400835976648 14172383973312 14467641972756 14689085472339 16534447968864 19290189297008 19585447296452 21701462959134 24801671953296 28935283945512 29378170944678 33068895937728 34274532768791 38580378594016 39170894592904 43402925918268 44067256417017 49603343906592 57870567891024 58756341889356 68549065537582 77160757188032 78341789185808 86805851836536 88134512834034 99206687813184 102823598306373 115741135782048 117512683778712 137098131075164 156683578371616 173611703673072 176269025668068 205647196612746 231482271564096 235025367557424 239921729381537 274196262150328 308470794919119 313367156743232 347223407346144 352538051336136 411294393225492 470050735114848 479843458763074 548392524300656 616941589838238 694446814692288 705076102672272 719765188144611 822588786450984 940101470229696 959686917526148 1096785048601312 1233883179676476 1410152205344544 1439530376289222 1645177572901968 1919373835052296 2159295564433833 2193570097202624 2467766359352952 2820304410689088 2879060752578444 3290355145803936 3838747670104592 4318591128867666 4935532718705904 5758121505156888 6580710291607872 7677495340209184 8637182257735332 9871065437411808 11516243010313776 15354990680418368 17274364515470664 19742130874823616 23032486020627552 34548729030941328 46064972041255104 69097458061882656 138194916123765312
- Sum of all divisors σ(n): 463097409246763200
- Sum of proper divisors (its aliquot sum) s(n): 324902493122997888
- 138194916123765312 is an abundant number, because the sum of its proper divisors (324902493122997888) is greater than itself. Its abundance is 186707576999232576
Bases of 138194916123765312
- Binary: 1111010101111011110001011010001010101001001101010010000002
- Hexadecimal: 0x1EAF78B45526A40
- Base-36: 11SQ0C193BK0
Squares and roots of 138194916123765312
- 138194916123765312 squared (1381949161237653122) is 19097834842454529806425436454457344
- 138194916123765312 cubed (1381949161237653123) is 2639223684198526468219315178392614227185190970851328
-
The
square root of 138194916123765312 is 371745768.1316161425 -
The
cube root of 138194916123765312 is 517008.1098508307
Scales and comparisons
How big is 138194916123765312?- 138,194,916,123,765,312 seconds is equal to 4,394,170,867 years, 41 weeks, 1 day, 21 hours, 55 minutes, 12 seconds.
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To count from 1 to 138,194,916,123,765,312 would take you about thirteen billion, one hundred eighty-two million, five hundred twelve thousand, six hundred 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 138194916123765312 cubic inches would be around 43084 feet tall.
Recreational maths with 138194916123765312
- 138194916123765312 backwards is 213567321619491831
- 138194916123765312 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138194916123765312's digits is 72
- More coming soon!
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