138334662976088096
138,334,662,976,088,096 is an even composite number composed of six prime numbers multiplied together.
What does the number 138334662976088096 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1296 divisors.
138334662976088096 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 138334662976088096:
25 × 73 × 192 × 31 × 372 × 9072
(2 × 2 × 2 × 2 × 2 × 7 × 7 × 7 × 19 × 19 × 31 × 37 × 37 × 907 × 907)See below for interesting mathematical facts about the number 138334662976088096 from the Numbermatics database.
Names of 138334662976088096
- Cardinal: 138334662976088096 can be written as One hundred thirty-eight quadrillion, three hundred thirty-four trillion, six hundred sixty-two billion, nine hundred seventy-six million, eighty-eight thousand and ninety-six.
Scientific notation
- Scientific notation: 1.38334662976088096 × 1017
Factors of 138334662976088096
Divisors of 138334662976088096
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 4 7 8 14 16 19 28 31 32 37 38 49 56 62 74 76 98 112 124 133 148 152 196 217 224 248 259 266 296 304 343 361 392 434 496 518 532 589 592 608 686 703 722 784 868 907 931 992 1036 1064 1147 1178 1184 1369 1372 1406 1444 1519 1568 1736 1813 1814 1862 2072 2128 2294 2356 2527 2738 2744 2812 2888 3038 3472 3626 3628 3724 4123 4144 4256 4588 4712 4921 5054 5476 5488 5624 5776 6076 6349 6517 6944 7252 7256 7448 8029 8246 8288 9176 9424 9583 9842 10108 10633 10952 10976 11191 11248 11552 12152 12691 12698 13034 13357 14504 14512 14896 16058 16492 17233 17689 18352 18848 19166 19684 20216 21266 21793 21904 22382 22496 24304 25382 25396 26011 26068 26714 28117 28861 29008 29024 29792 32116 32984 33559 34447 34466 35378 36704 38332 39368 40432 42439 42532 43586 43808 44443 44764 48608 50764 50792 52022 52136 53428 56203 56234 57722 58016 64232 65968 67081 67118 68894 68932 70756 76664 78337 78736 80864 84878 85064 87172 88886 89528 93499 101528 101584 104044 104272 106856 112406 112468 115444 120631 123823 128464 131936 134162 134236 137788 137864 141512 152551 153328 156674 157472 169756 170128 174344 177772 179056 182077 186998 196819 202027 203056 203168 208088 208544 213712 224812 224936 230888 234913 241129 241262 247646 256928 268324 268472 275576 275728 283024 297073 305102 306656 311101 313348 327427 339512 340256 348688 355544 358112 364154 373996 393421 393638 404054 406112 414067 416176 427424 449624 449872 461776 469567 469826 482258 482524 494209 495292 534223 536648 536944 548359 551152 551456 566048 594146 610204 622202 626696 637621 654493 654854 679024 697376 711088 728308 747992 786842 787276 806341 808108 822649 828134 832352 844417 899248 899744 923552 939134 939652 964516 965048 988418 990584 1040329 1067857 1068446 1073296 1073888 1096718 1102304 1188292 1220408 1241683 1244404 1253392 1274539 1275242 1308986 1309708 1358048 1377733 1422176 1456616 1495984 1573684 1574552 1612682 1616216 1644391 1645298 1656268 1688834 1798496 1878268 1879304 1929032 1930096 1976836 1981168 2079511 2080658 2135714 2136892 2146592 2193436 2291989 2376584 2440816 2483366 2488808 2506784 2549078 2550484 2617972 2619416 2755466 2898469 2913232 2991968 3147368 3149104 3225364 3232432 3288782 3290596 3312536 3377668 3459463 3739561 3756536 3758608 3838513 3858064 3860192 3953672 3962336 4159022 4161316 4271428 4273784 4386872 4463347 4581451 4583978 4753168 4881632 4966732 4977616 5098156 5100968 5235944 5238832 5510932 5644387 5758543 5796938 5826464 5910919 6294736 6298208 6450728 6464864 6577564 6581192 6625072 6755336 6918926 7282303 7474999 7479122 7513072 7517216 7677026 7716128 7907344 8318044 8322632 8542856 8547568 8691781 8773744 8921773 8926694 9162902 9167956 9506336 9644131 9933464 9955232 10150237 10196312 10201936 10471888 10477664 11021864 11288774 11510737 11517086 11593876 11821838 12114799 12589472 12901456 13155128 13162384 13250144 13510672 13837852 14556577 14564606 14949998 14958244 15026144 15320479 15354052 15630331 15814688 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65006890496282 66763833482668 74293589138608 76259461398064 76301523980192 79685865769636 88223637102097 91069560879584 95799628099784 98388807237616 100827013830968 101047964189984 116836708594669 117431802186832 120605634678368 130013780992564 133527666965336 139450265096863 148587178277216 152518922796128 159371731539272 176447274204194 191599256199568 196777614475232 201654027661936 227524116736987 233673417189338 234863604373664 260027561985128 267055333930672 278900530193726 318743463078544 352894548408388 383198512399136 403308055323872 455048233473974 467346834378676 520055123970256 534110667861344 557801060387452 617565459714679 637486926157088 705789096816776 910096466947948 934693668757352 1040110247940512 1115602120774904 1235130919429358 1411578193633552 1820192933895896 1869387337514704 2231204241549808 2470261838858716 2823156387267104 3640385867791792 3738774675029408 4322958218002753 4462408483099616 4940523677717432 7280771735583584 8645916436005506 9881047355434864 17291832872011012 19762094710869728 34583665744022024 69167331488044048 138334662976088096
- Sum of all divisors σ(n): 356010867329241600
- Sum of proper divisors (its aliquot sum) s(n): 217676204353153504
- 138334662976088096 is an abundant number, because the sum of its proper divisors (217676204353153504) is greater than itself. Its abundance is 79341541377065408
Bases of 138334662976088096
- Binary: 1111010110111011010100100100111101101000000101000001000002
- Hexadecimal: 0x1EB76A49ED02820
- Base-36: 11U3JMUOT3Q8
Squares and roots of 138334662976088096
- 138334662976088096 squared (1383346629760880962) is 19136478980707878637515075152905216
- 138334662976088096 cubed (1383346629760880963) is 2647238370345218244480842432672905250693153153908736
-
The
square root of 138334662976088096 is 371933680.8842244337 -
The
cube root of 138334662976088096 is 517182.3225203913
Scales and comparisons
How big is 138334662976088096?- 138,334,662,976,088,096 seconds is equal to 4,398,614,385 years, 22 weeks, 3 days, 7 hours, 34 minutes, 56 seconds.
-
To count from 1 to 138,334,662,976,088,096 would take you about thirteen billion, one hundred ninety-five million, eight hundred forty-three thousand, one 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 138334662976088096 cubic inches would be around 43098.5 feet tall.
Recreational maths with 138334662976088096
- 138334662976088096 backwards is 690880679266433831
- The number of decimal digits it has is: 18
- The sum of 138334662976088096's digits is 89
- More coming soon!
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"Number 138334662976088096 - Facts about the integer". Numbermatics.com. 2024. Web. 13 May 2024.
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Numbermatics. (2024). Number 138334662976088096 - Facts about the integer. Retrieved 13 May 2024, from https://numbermatics.com/n/138334662976088096/
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The information we have on file for 138334662976088096 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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