138663940014342144
138,663,940,014,342,144 is an even composite number composed of five prime numbers multiplied together.
What does the number 138663940014342144 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1296 divisors.
138663940014342144 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 138663940014342144:
217 × 35 × 17 × 73 × 18732
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 17 × 73 × 1873 × 1873)See below for interesting mathematical facts about the number 138663940014342144 from the Numbermatics database.
Names of 138663940014342144
- Cardinal: 138663940014342144 can be written as One hundred thirty-eight quadrillion, six hundred sixty-three trillion, nine hundred forty billion, fourteen million, three hundred forty-two thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 1.38663940014342144 × 1017
Factors of 138663940014342144
Divisors of 138663940014342144
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 73 81 96 102 108 128 136 144 146 153 162 192 204 216 219 243 256 272 288 292 306 324 384 408 432 438 459 486 512 544 576 584 612 648 657 768 816 864 876 918 972 1024 1088 1152 1168 1224 1241 1296 1314 1377 1536 1632 1728 1752 1836 1873 1944 1971 2048 2176 2304 2336 2448 2482 2592 2628 2754 3072 3264 3456 3504 3672 3723 3746 3888 3942 4096 4131 4352 4608 4672 4896 4964 5184 5256 5508 5619 5913 6144 6528 6912 7008 7344 7446 7492 7776 7884 8192 8262 8704 9216 9344 9792 9928 10368 10512 11016 11169 11238 11826 12288 13056 13824 14016 14688 14892 14984 15552 15768 16384 16524 16857 17408 17739 18432 18688 19584 19856 20736 21024 22032 22338 22476 23652 24576 26112 27648 28032 29376 29784 29968 31104 31536 31841 32768 33048 33507 33714 34816 35478 36864 37376 39168 39712 41472 42048 44064 44676 44952 47304 49152 50571 52224 55296 56064 58752 59568 59936 62208 63072 63682 65536 66096 67014 67428 69632 70956 73728 74752 78336 79424 82944 84096 88128 89352 89904 94608 95523 98304 100521 101142 104448 110592 112128 117504 119136 119872 124416 126144 127364 131072 132192 134028 134856 136729 139264 141912 147456 149504 151713 156672 158848 165888 168192 176256 178704 179808 189216 191046 196608 201042 202284 208896 221184 224256 235008 238272 239744 248832 252288 254728 264384 268056 269712 273458 278528 283824 286569 294912 299008 301563 303426 313344 317696 331776 336384 352512 357408 359616 378432 382092 393216 402084 404568 410187 417792 442368 448512 455139 470016 476544 479488 497664 504576 509456 528768 536112 539424 546916 557056 567648 573138 589824 598016 603126 606852 626688 635392 663552 672768 705024 714816 719232 756864 764184 804168 809136 820374 835584 859707 884736 897024 910278 940032 953088 958976 995328 1009152 1018912 1057536 1072224 1078848 1093832 1114112 1135296 1146276 1179648 1196032 1206252 1213704 1230561 1253376 1270784 1327104 1345536 1410048 1429632 1438464 1513728 1528368 1608336 1618272 1640748 1671168 1719414 1769472 1794048 1820556 1880064 1906176 1917952 1990656 2018304 2037824 2115072 2144448 2157696 2187664 2228224 2270592 2292552 2324393 2392064 2412504 2427408 2461122 2506752 2541568 2579121 2654208 2691072 2820096 2859264 2876928 3027456 3056736 3216672 3236544 3281496 3342336 3438828 3508129 3538944 3588096 3641112 3691683 3760128 3812352 3835904 3981312 4036608 4075648 4230144 4288896 4315392 4375328 4541184 4585104 4648786 4784128 4825008 4854816 4922244 5013504 5083136 5158242 5308416 5382144 5640192 5718528 5753856 6054912 6113472 6433344 6473088 6562992 6684672 6877656 6973179 7016258 7176192 7282224 7383366 7520256 7624704 7671808 7737363 7962624 8073216 8151296 8460288 8577792 8630784 8750656 9082368 9170208 9297572 9568256 9650016 9709632 9844488 10027008 10166272 10316484 10524387 10616832 10764288 11075049 11280384 11437056 11507712 12109824 12226944 12866688 12946176 13125984 13755312 13946358 14032516 14352384 14564448 14766732 15040512 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11725345849344 12338844991488 12415072075776 12587503632384 13191014080512 13374222609408 13966956085248 14160941586432 14839890840576 15046000435584 15931059284736 16783338176512 16926750490032 17588018774016 17832296812544 18508267487232 18622608113664 18881255448576 19786521120768 20061333914112 21241412379648 22569000653376 23450691698688 24677689982976 25175007264768 26382028161024 26748445218816 27933912170496 28321883172864 29679781681152 30092000871168 31862118569472 33566676353024 33853500980064 35176037548032 35664593625088 37016534974464 37245216227328 37762510897152 39573042241536 40122667828224 42482824759296 45138001306752 50350014529536 52764056322048 53496890437632 55867824340992 56643766345728 59359563362304 60184001742336 63724237138944 67707001960128 70352075096064 71329187250176 74033069948928 75525021794304 79146084483072 80245335656448 84965649518592 90276002613504 100700029059072 105528112644096 106993780875264 111735648681984 113287532691456 118719126724608 120368003484672 127448474277888 135414003920256 142658374500352 151050043588608 158292168966144 160490671312896 169931299037184 180552005227008 211056225288192 213987561750528 226575065382912 237438253449216 240736006969344 254896948555776 270828007840512 285316749000704 302100087177216 316584337932288 320981342625792 339862598074368 361104010454016 427975123501056 453150130765824 474876506898432 481472013938688 509793897111552 541656015681024 570633498001408 633168675864576 641962685251584 679725196148736 722208020908032 855950247002112 906300261531648 949753013796864 962944027877376 1019587794223104 1083312031362048 1283925370503168 1359450392297472 1444416041816064 1711900494004224 1899506027593728 1925888055754752 2039175588446208 2166624062724096 2567850741006336 2718900784594944 2888832083632128 3851776111509504 4078351176892416 4333248125448192 5135701482012672 5777664167264256 7703552223019008 8156702353784832 8666496250896384 11555328334528512 15407104446038016 17332992501792768 23110656669057024 34665985003585536 46221313338114048 69331970007171072 138663940014342144
- Sum of all divisors σ(n): 446119658815167792
- Sum of proper divisors (its aliquot sum) s(n): 307455718800825648
- 138663940014342144 is an abundant number, because the sum of its proper divisors (307455718800825648) is greater than itself. Its abundance is 168791778786483504
Bases of 138663940014342144
- Binary: 1111011001010001000011110011001111011011000000000000000002
- Hexadecimal: 0x1ECA21E67B60000
- Base-36: 11XC9IMVPC00
Squares and roots of 138663940014342144
- 138663940014342144 squared (1386639400143421442) is 19227688260301076390380417094516736
- 138663940014342144 cubed (1386639400143421443) is 2666187011540859112347474254114879166449460638121984
-
The
square root of 138663940014342144 is 372376073.3644713431 -
The
cube root of 138663940014342144 is 517592.3458647303
Scales and comparisons
How big is 138663940014342144?- 138,663,940,014,342,144 seconds is equal to 4,409,084,376 years, 37 weeks, 5 days, 23 hours, 2 minutes, 24 seconds.
-
To count from 1 to 138,663,940,014,342,144 would take you about thirteen billion, two hundred twenty-seven million, two hundred fifty-three thousand, one hundred thirty 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 138663940014342144 cubic inches would be around 43132.7 feet tall.
Recreational maths with 138663940014342144
- 138663940014342144 backwards is 441243410049366831
- The number of decimal digits it has is: 18
- The sum of 138663940014342144's digits is 63
- More coming soon!
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"Number 138663940014342144 - Facts about the integer". Numbermatics.com. 2024. Web. 21 September 2024.
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Numbermatics. (2024). Number 138663940014342144 - Facts about the integer. Retrieved 21 September 2024, from https://numbermatics.com/n/138663940014342144/
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The information we have on file for 138663940014342144 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 138663940014342144, math, Factors of 138663940014342144, curriculum, school, college, exams, university, Prime factorization of 138663940014342144, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, six hundred sixty-three trillion, nine hundred forty billion, fourteen million, three hundred forty-two thousand, one hundred forty-four.