138007719793152
138,007,719,793,152 is an even composite number composed of six prime numbers multiplied together.
What does the number 138007719793152 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1680 divisors.
138007719793152 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, six hundred eighty divisors.
Prime factorization of 138007719793152:
29 × 36 × 112 × 71 × 193 × 223
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 11 × 11 × 71 × 193 × 223)See below for interesting mathematical facts about the number 138007719793152 from the Numbermatics database.
Names of 138007719793152
- Cardinal: 138007719793152 can be written as One hundred thirty-eight trillion, seven billion, seven hundred nineteen million, seven hundred ninety-three thousand, one hundred fifty-two.
Scientific notation
- Scientific notation: 1.38007719793152 × 1014
Factors of 138007719793152
Divisors of 138007719793152
- Number of divisors d(n): 1680
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 71 72 81 88 96 99 108 121 128 132 142 144 162 176 192 193 198 213 216 223 242 243 256 264 284 288 297 324 352 363 384 386 396 426 432 446 484 486 512 528 568 576 579 594 639 648 669 704 726 729 768 772 781 792 852 864 891 892 968 972 1056 1089 1136 1152 1158 1188 1278 1296 1338 1408 1452 1458 1536 1544 1562 1584 1704 1728 1737 1782 1784 1917 1936 1944 2007 2112 2123 2178 2272 2304 2316 2343 2376 2453 2556 2592 2673 2676 2816 2904 2916 3088 3124 3168 3267 3408 3456 3474 3564 3568 3834 3872 3888 4014 4224 4246 4356 4544 4608 4632 4686 4752 4906 5112 5184 5211 5346 5352 5632 5751 5808 5832 6021 6176 6248 6336 6369 6534 6816 6912 6948 7029 7128 7136 7359 7668 7744 7776 8019 8028 8448 8492 8591 8712 9088 9264 9372 9504 9801 9812 10224 10368 10422 10692 10704 11502 11616 11664 12042 12352 12496 12672 12738 13068 13632 13703 13824 13896 14058 14256 14272 14718 15336 15488 15552 15633 15833 16038 16056 16896 16984 17182 17253 17424 18063 18176 18528 18744 19008 19107 19602 19624 20448 20736 20844 21087 21384 21408 22077 23004 23232 23328 23353 24084 24704 24992 25344 25476 25773 26136 26983 27264 27406 27792 28116 28512 28544 29403 29436 30672 30976 31104 31266 31666 32076 32112 33968 34364 34506 34848 36126 36352 37056 37488 38016 38214 39204 39248 40896 41109 41472 41688 42174 42768 42816 43039 44154 46008 46464 46656 46706 46899 47499 48168 49408 49984 50688 50952 51546 51759 52272 53966 54189 54528 54812 55584 56232 57024 57088 57321 58806 58872 61344 61952 62208 62532 63261 63332 64152 64224 66231 67936 68728 69012 69696 70059 72252 74112 74976 76032 76428 77319 78408 78496 80949 81792 82218 83376 84348 85536 85632 86078 88209 88308 92016 92928 93312 93412 93798 94998 96336 98816 99968 101904 103092 103518 104544 107932 108378 109056 109624 111168 112464 114048 114176 114642 117612 117744 122688 123327 124416 125064 126522 126664 128304 128448 129117 132462 135872 137456 138024 139392 140118 140697 142497 144504 148224 149952 150733 152064 152856 154638 156816 156992 161898 162567 163584 164436 166752 168696 171072 171264 171963 172156 174163 176418 176616 184032 185856 186624 186824 187596 189783 189996 192672 198693 199936 203808 206184 207036 209088 210177 215864 216756 219248 222336 224928 228096 229284 231957 235224 235488 242847 245376 246654 250128 253044 253328 256608 256896 258234 264924 271744 274912 276048 278784 280236 281394 284994 289008 296448 299904 301466 305712 309276 313632 313984 323796 325134 327168 328872 333504 337392 342144 342528 343926 344312 348326 352836 353232 368064 369981 373248 373648 375192 379566 379992 385344 387351 397386 399872 407616 412368 414072 418176 420354 427491 431728 433512 438496 444672 449856 452199 456192 458568 463914 470448 470976 473429 485694 490752 493308 500256 506088 506656 513216 513792 515889 516468 522489 529848 543488 549824 552096 557568 560472 562788 569349 569988 578016 596079 599808 602932 611424 618552 627264 627968 630531 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11831937568 11880829872 11998584576 12893097888 12907568256 13241961216 13310929764 13498407648 14065197696 14080983552 14521014288 14725535616 14897206368 15185708604 15841106496 16064220672 16251497856 16336141074 17190797184 17210091008 17747906352 17821244808 17997876864 18753596928 19339646832 19361352384 19634047488 19862941824 19966394646 20247611472 21121475328 21668663808 21781521432 22088303424 22345809552 22921062912 23663875136 23761659744 23997169152 24504211611 25786195776 25815136512 26483922432 26621859528 26996815296 28130395392 29042028576 29451071232 29794412736 29949591969 30371417208 31682212992 32502995712 32672282148 34381594368 35495812704 35642489616 35995753728 38679293664 38722704768 39725883648 39932789292 40495222944 42242950656 43563042864 44176606848 44691619104 47327750272 47523319488 49008423222 51572391552 51630273024 53243719056 53993630592 56260790784 58084057152 58902142464 59588825472 59899183938 60742834416 63364425984 65005991424 65344564296 68763188736 70991625408 71284979232 71991507456 77358587328 77445409536 79451767296 79865578584 80990445888 87126085728 88353213696 89383238208 89848775907 94655500544 95046638976 98016846444 103144783104 106487438112 107987261184 116168114304 119177650944 119798367876 121485668832 126728851968 130689128592 141983250816 142569958464 154717174656 154890819072 159731157168 161980891776 174252171456 176706427392 178766476416 179697551814 189311001088 190093277952 196033692888 206289566208 212974876224 215974522368 232336228608 238355301888 239596735752 242971337664 261378257184 269546327721 283966501632 285139916928 309434349312 319462314336 323961783552 348504342912 357532952832 359395103628 380186555904 392067385776 425949752448 464672457216 479193471504 485942675328 522756514368 539092655442 567933003264 570279833856 618868698624 638924628672 647923567104 697008685824 715065905664 718790207256 784134771552 851899504896 958386943008 971885350656 1045513028736 1078185310884 1140559667712 1277849257344 1394017371648 1437580414512 1568269543104 1703799009792 1916773886016 1943770701312 2091026057472 2156370621768 2555698514688 2875160829024 3136539086208 3833547772032 4182052114944 4312741243536 5111397029376 5750321658048 6273078172416 7667095544064 8625482487072 11500643316096 12546156344832 15334191088128 17250964974144 23001286632192 34501929948288 46002573264384 69003859896576 138007719793152
- Sum of all divisors σ(n): 465296388125184
- Sum of proper divisors (its aliquot sum) s(n): 327288668332032
- 138007719793152 is an abundant number, because the sum of its proper divisors (327288668332032) is greater than itself. Its abundance is 189280948538880
Bases of 138007719793152
- Binary: 111110110000100011011010001110101010010000000002
- Hexadecimal: 0x7D846D1D5200
- Base-36: 1CX3VD4000
Squares and roots of 138007719793152
- 138007719793152 squared (1380077197931522) is 19046130722505158309666095104
- 138007719793152 cubed (1380077197931523) is 2628513071895235538867324760568390439927808
-
The
square root of 138007719793152 is 11747668.6960925145 -
The
cube root of 138007719793152 is 51677.4561091303
Scales and comparisons
How big is 138007719793152?- 138,007,719,793,152 seconds is equal to 4,388,218 years, 31 weeks, 2 days, 16 hours, 19 minutes, 12 seconds.
-
To count from 1 to 138,007,719,793,152 would take you about ten million, nine hundred seventy thousand, five hundred forty-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 138007719793152 cubic inches would be around 4306.5 feet tall.
Recreational maths with 138007719793152
- 138007719793152 backwards is 251397917700831
- The number of decimal digits it has is: 15
- The sum of 138007719793152's digits is 63
- More coming soon!
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"Number 138007719793152 - Facts about the integer". Numbermatics.com. 2024. Web. 11 June 2024.
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Numbermatics. (2024). Number 138007719793152 - Facts about the integer. Retrieved 11 June 2024, from https://numbermatics.com/n/138007719793152/
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The information we have on file for 138007719793152 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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