138248860871323048
138,248,860,871,323,048 is an even composite number composed of six prime numbers multiplied together.
What does the number 138248860871323048 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2304 divisors.
138248860871323048 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 138248860871323048:
23 × 75 × 113 × 193 × 412 × 67
(2 × 2 × 2 × 7 × 7 × 7 × 7 × 7 × 11 × 11 × 11 × 19 × 19 × 19 × 41 × 41 × 67)See below for interesting mathematical facts about the number 138248860871323048 from the Numbermatics database.
Names of 138248860871323048
- Cardinal: 138248860871323048 can be written as One hundred thirty-eight quadrillion, two hundred forty-eight trillion, eight hundred sixty billion, eight hundred seventy-one million, three hundred twenty-three thousand and forty-eight.
Scientific notation
- Scientific notation: 1.38248860871323048 × 1017
Factors of 138248860871323048
Divisors of 138248860871323048
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 4 7 8 11 14 19 22 28 38 41 44 49 56 67 76 77 82 88 98 121 133 134 152 154 164 196 209 242 266 268 287 308 328 343 361 392 418 451 469 484 532 536 539 574 616 686 722 737 779 836 847 902 931 938 968 1064 1078 1148 1273 1331 1372 1444 1463 1474 1558 1672 1681 1694 1804 1862 1876 2009 2156 2296 2299 2401 2527 2546 2662 2744 2747 2888 2926 2948 3116 3157 3283 3362 3388 3608 3724 3752 3773 3971 4018 4312 4598 4802 4961 5054 5092 5159 5324 5453 5494 5852 5896 5929 6232 6314 6517 6566 6724 6776 6859 7448 7546 7942 8036 8107 8569 8911 9196 9317 9604 9922 10108 10184 10241 10318 10648 10906 10988 11704 11767 11858 12628 13034 13132 13448 13718 14003 14063 14801 15092 15884 16072 16093 16214 16807 17138 17689 17822 18392 18491 18634 19208 19229 19844 20216 20482 20636 21812 21976 22099 22981 23534 23716 24187 25256 25289 26068 26264 26411 27436 27797 28006 28126 29602 30184 30217 31768 31939 32186 32428 33614 34276 34727 35378 35644 36113 36982 37268 38171 38458 39688 40964 41272 41503 43624 43681 44198 45619 45962 47068 47432 48013 48374 50578 52136 52193 52822 54571 54872 55594 56012 56252 56749 59204 59983 60434 62377 63878 64372 64856 65219 67228 68552 69454 70756 71288 71687 72226 73964 74536 75449 76342 76916 81928 82369 83006 87362 88396 89177 91238 91924 94136 94259 96026 96748 98021 98441 101156 103607 104386 105644 109142 111188 112024 112504 112627 112651 113498 118408 119966 120868 123823 124754 127756 128744 129437 130438 134456 134603 138908 141512 143374 144452 147928 150898 152684 153832 154033 154693 160867 162811 164738 166012 169309 174724 176792 177023 178354 182476 183848 184877 188518 192052 193496 194579 196042 196882 202312 203401 207214 208772 211288 211519 218284 222376 223573 225254 225302 226996 239932 241736 243089 247646 249508 252791 255512 258874 260876 266057 267197 269206 277816 281219 286748 288904 290521 301796 305368 305767 308066 309386 319333 321734 325622 329476 332024 332387 336091 338618 349448 351329 354046 356708 364952 365351 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2617259113084 2648800813736 2651696732993 2733379352116 2857916667452 2879404762696 2914674921389 2937215536486 3007894801604 3030510551992 3127943818076 3164965565608 3169100973577 3331057053016 3349701029059 3374886751082 3483391979221 3594801104356 3621829684088 3709586263586 3738274319164 3828229747496 3878601191542 3907763606516 3981019404824 4033401239098 4112835749132 4263255855166 4295310410468 4328528159032 4351827652711 4575201405544 4580203447897 4670254066324 4915340285548 4936401516508 4973517317384 5038958334718 5234518226168 5263815902807 5303393465986 5466758704232 5473901681633 5715833334904 5829349842778 5874431072972 6015789603208 6255887636152 6290901932623 6338201947154 6699402058118 6749773502164 6838586311403 6966783958442 7189602208712 7197462560981 7419172527172 7476548638328 7516793218319 7757202383084 7815527213032 8066802478196 8225671498264 8526511710332 8590620820936 8601845499709 8703655305422 9160406895794 9340508132648 9830680571096 9872803033016 10077916669436 10280254377701 10527631805614 10606786931972 10947803363266 11658699685556 11748862145944 11812103628787 12581803865246 12676403894308 12983551922551 13398804116236 13499547004328 13575104170397 13677172622806 13933567916884 14394925121962 14838345054344 15033586436638 15514404766168 16133604956392 17053023420664 17203690999418 17407310610844 18320813791588 18561877130951 20155833338872 20402724449723 20560508755402 21055263611228 21213573863944 21895606726532 22183706815039 23317399371112 23447907203413 23624207257574 25163607730492 25352807788616 25967103845102 26797608232472 27150208340794 27354345245612 27867135833768 28789850243924 30067172873276 32061424135279 34407381998836 34814621221688 36641627583176 36846711319649 37123754261902 38317311771431 40805448899446 41121017510804 42110527222456 43791213453064 44367413630078 46895814406826 47248414515148 47870104179821 50327215460984 50382237926867 51934207690204 54300416681588 54708690491224 57579700487848 60134345746552 60212918497963 64122848270558 68814763997672 73693422639298 74247508523804 76634623542862 81610897798892 82242035021608 82684725401509 88734827260156 93791628813652 94496829030296 95740208359642 100764475853734 103868415380408 108600833363176 120425836995926 128245696541116 129933139916657 142819071148061 147386845278596 148495017047608 153269247085724 163221795597784 165369450803018 177469654520312 187583257627304 191480416719284 201528951707468 224429968946953 240851673991852 256491393082232 257926979237543 259866279833314 285638142296122 294773690557192 306538494171448 330738901606036 352675665488069 382960833438568 403057903414936 421490429485741 448859937893906 481703347983704 515853958475086 519732559666628 571276284592244 661477803212072 705351330976138 842980858971482 897719875787812 909531979416599 1031707916950172 1039465119333256 1142552569184488 1410702661952276 1571009782628671 1685961717942964 1795439751575624 1819063958833198 2063415833900344 2468729658416483 2821405323904552 3142019565257342 3371923435885928 3638127917666396 4937459316832966 6284039130514684 7276255835332792 9874918633665932 12568078261029368 17281107608915381 19749837267331864 34562215217830762 69124430435661524 138248860871323048
- Sum of all divisors σ(n): 365256867631564800
- Sum of proper divisors (its aliquot sum) s(n): 227008006760241752
- 138248860871323048 is an abundant number, because the sum of its proper divisors (227008006760241752) is greater than itself. Its abundance is 88759145888918704
Bases of 138248860871323048
- Binary: 1111010110010100010011011010000101101011001101101101010002
- Hexadecimal: 0x1EB289B42D66DA8
- Base-36: 11T94PWQZ4X4
Squares and roots of 138248860871323048
- 138248860871323048 squared (1382488608713230482) is 19112747532218436914654413976010304
- 138248860871323048 cubed (1382488608713230483) is 2642315574450389609859936680423891728484536960686592
-
The
square root of 138248860871323048 is 371818317.0196474439 -
The
cube root of 138248860871323048 is 517075.3729228707
Scales and comparisons
How big is 138248860871323048?- 138,248,860,871,323,048 seconds is equal to 4,395,886,143 years, 47 weeks, 1 hour, 17 minutes, 28 seconds.
-
To count from 1 to 138,248,860,871,323,048 would take you about thirteen billion, one hundred eighty-seven million, six hundred fifty-eight thousand, four hundred thirty-one 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 138248860871323048 cubic inches would be around 43089.6 feet tall.
Recreational maths with 138248860871323048
- 138248860871323048 backwards is 840323178068842831
- 138248860871323048 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138248860871323048's digits is 76
- More coming soon!
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"Number 138248860871323048 - Facts about the integer". Numbermatics.com. 2024. Web. 4 May 2024.
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Numbermatics. (2024). Number 138248860871323048 - Facts about the integer. Retrieved 4 May 2024, from https://numbermatics.com/n/138248860871323048/
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Numbermatics. 2024. "Number 138248860871323048 - Facts about the integer". https://numbermatics.com/n/138248860871323048/
The information we have on file for 138248860871323048 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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