13187838707463168
13,187,838,707,463,168 is an even composite number composed of five prime numbers multiplied together.
What does the number 13187838707463168 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1584 divisors.
13187838707463168 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, five hundred eighty-four divisors.
Prime factorization of 13187838707463168:
210 × 35 × 72 × 43 × 2933
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 43 × 293 × 293 × 293)See below for interesting mathematical facts about the number 13187838707463168 from the Numbermatics database.
Names of 13187838707463168
- Cardinal: 13187838707463168 can be written as Thirteen quadrillion, one hundred eighty-seven trillion, eight hundred thirty-eight billion, seven hundred seven million, four hundred sixty-three thousand, one hundred sixty-eight.
Scientific notation
- Scientific notation: 1.3187838707463168 × 1016
Factors of 13187838707463168
Divisors of 13187838707463168
- Number of divisors d(n): 1584
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 43 48 49 54 56 63 64 72 81 84 86 96 98 108 112 126 128 129 144 147 162 168 172 189 192 196 216 224 243 252 256 258 288 293 294 301 324 336 344 378 384 387 392 432 441 448 486 504 512 516 567 576 586 588 602 648 672 688 756 768 774 784 864 879 882 896 903 972 1008 1024 1032 1134 1152 1161 1172 1176 1204 1296 1323 1344 1376 1512 1536 1548 1568 1701 1728 1758 1764 1792 1806 1944 2016 2051 2064 2107 2268 2304 2322 2344 2352 2408 2592 2637 2646 2688 2709 2752 3024 3072 3096 3136 3402 3456 3483 3516 3528 3584 3612 3888 3969 4032 4102 4128 4214 4536 4608 4644 4688 4704 4816 5184 5274 5292 5376 5418 5504 6048 6153 6192 6272 6321 6804 6912 6966 7032 7056 7168 7224 7776 7911 7938 8064 8127 8204 8256 8428 9072 9216 9288 9376 9408 9632 10368 10449 10548 10584 10752 10836 11008 11907 12096 12306 12384 12544 12599 12642 13608 13824 13932 14064 14112 14357 14448 15552 15822 15876 16128 16254 16408 16512 16856 18144 18459 18576 18752 18816 18963 19264 20736 20898 21096 21168 21504 21672 22016 23733 23814 24192 24381 24612 24768 25088 25198 25284 27216 27648 27864 28128 28224 28714 28896 31104 31644 31752 32256 32508 32816 33024 33712 36288 36918 37152 37504 37632 37797 37926 38528 41472 41796 42192 42336 43071 43344 44032 47466 47628 48384 48762 49224 49536 50176 50396 50568 54432 55377 55728 56256 56448 56889 57428 57792 62208 63288 63504 64512 65016 65632 66048 67424 71199 72576 73143 73836 74304 75008 75264 75594 75852 77056 82944 83592 84384 84672 85849 86142 86688 88193 94932 95256 96768 97524 98448 99072 100792 101136 108864 110754 111456 112512 112896 113391 113778 114856 115584 124416 126576 127008 129213 130032 131264 132096 134848 142398 145152 146286 147672 148608 150016 150528 151188 151704 154112 166131 167184 168768 169344 170667 171698 172284 173376 176386 189864 190512 193536 195048 196896 198144 201584 202272 217728 221508 222912 225024 225792 226782 227556 229712 231168 248832 253152 254016 257547 258426 260064 262528 264579 269696 284796 290304 292572 295344 297216 300032 302376 303408 308224 332262 334368 337536 338688 340173 341334 343396 344568 346752 352772 379728 381024 387639 390096 393792 396288 403168 404544 435456 443016 445824 450048 451584 453564 455112 459424 462336 498393 506304 508032 512001 515094 516852 520128 525056 529158 539392 569592 580608 585144 590688 594432 600943 604752 606816 617351 664524 668736 675072 677376 680346 682668 686792 689136 693504 705544 759456 762048 772641 775278 780192 787584 793737 806336 809088 870912 886032 891648 900096 907128 910224 918848 924672 996786 1012608 1016064 1020519 1024002 1030188 1033704 1040256 1050112 1058316 1078784 1139184 1162917 1170288 1181376 1188864 1201886 1209504 1213632 1234702 1329048 1337472 1350144 1354752 1360692 1365336 1373584 1378272 1387008 1411088 1518912 1524096 1545282 1550556 1560384 1575168 1587474 1612672 1618176 1741824 1772064 1783296 1802829 1814256 1820448 1837696 1852053 1993572 2025216 2032128 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684584650512 695451073536 700884285048 703276381584 709939637568 714439498752 726842962272 782382457728 798682092264 803744436096 811359585792 817698332556 830677671168 833512748544 847983455984 912779534016 918565069824 934512380064 937701842112 946586183424 953981387982 969123949696 1043176610304 1046736940032 1051326427572 1064909456352 1071659248128 1090264443408 1107570228224 1198023138396 1217039378688 1226547498834 1246016506752 1250269122816 1262114911232 1271975183976 1369169301024 1401768570096 1406552763168 1419879275136 1430972081973 1453685924544 1564764915456 1597364184528 1607488872192 1622719171584 1635396665112 1661355342336 1667025497088 1695966911968 1825559068032 1839821248251 1869024760128 1875403684224 1893172366848 1907962775964 1938247899392 2086353220608 2102652855144 2129818912704 2143318496256 2180528886816 2396046276792 2434078757376 2453094997668 2492033013504 2500538245632 2543950367952 2738338602048 2803537140192 2813105526336 2839758550272 2861944163946 2907371849088 3129529830912 3194728369056 3214977744384 3270793330224 3322710684672 3391933823936 3651118136064 3679642496502 3738049520256 3750807368448 3786344733696 3815925551928 3876495798784 4205305710288 4259637825408 4292916245919 4361057773632 4792092553584 4868157514752 4906189995336 4984066027008 5001076491264 5087900735904 5476677204096 5607074280384 5626211052672 5679517100544 5723888327892 5814743698176 6259059661824 6389456738112 6429955488768 6541586660448 6783867647872 7302236272128 7359284993004 7476099040512 7501614736896 7631851103856 7752991597568 8410611420576 8519275650816 8585832491838 8722115547264 9584185107168 9812379990672 9968132054016 10175801471808 10953354408192 11214148560768 11252422105344 11359034201088 11447776655784 11629487396352 12778913476224 12878748737757 13083173320896 13567735295744 14604472544256 14718569986008 14952198081024 15003229473792 15263702207712 16821222841152 17038551301632 17171664983676 17444231094528 19168370214336 19624759981344 20351602943616 21906708816384 22428297121536 22504844210688 22895553311568 23258974792704 25557826952448 25757497475514 26166346641792 27135470591488 29437139972016 29904396162048 30527404415424 33642445682304 34077102603264 34343329967352 34888462189056 38336740428672 39249519962688 40703205887232 43813417632768 44856594243072 45009688421376 45791106623136 51115653904896 51514994951028 52332693283584 54270941182976 58874279944032 61054808830848 67284891364608 68686659934704 69776924378112 76673480857344 78499039925376 81406411774464 89713188486144 91582213246272 102231307809792 103029989902056 104665386567168 117748559888064 122109617661696 134569782729216 137373319869408 153346961714688 156998079850752 162812823548928 183164426492544 206059979804112 209330773134336 235497119776128 244219235323392 269139565458432 274746639738816 306693923429376 313996159701504 366328852985088 412119959608224 470994239552256 488438470646784 549493279477632 627992319403008 732657705970176 824239919216448 941988479104512 1098986558955264 1465315411940352 1648479838432896 1883976958209024 2197973117910528 3296959676865792 4395946235821056 6593919353731584 13187838707463168
- Sum of all divisors σ(n): 47166580134273600
- Sum of proper divisors (its aliquot sum) s(n): 33978741426810432
- 13187838707463168 is an abundant number, because the sum of its proper divisors (33978741426810432) is greater than itself. Its abundance is 20790902719347264
Bases of 13187838707463168
- Binary: 1011101101101001000100111110011000001101110100000000002
- Hexadecimal: 0x2EDA44F9837400
- Base-36: 3LUP5GQIO00
Squares and roots of 13187838707463168
- 13187838707463168 squared (131878387074631682) is 173919089774063801605702076596224
- 13187838707463168 cubed (131878387074631683) is 2293616904089160244475720180508071496655287877632
-
The
square root of 13187838707463168 is 114838315.5025497925 -
The
cube root of 13187838707463168 is 236260.5490915477
Scales and comparisons
How big is 13187838707463168?- 13,187,838,707,463,168 seconds is equal to 419,332,478 years, 12 weeks, 1 day, 2 hours, 52 minutes, 48 seconds.
-
To count from 1 to 13,187,838,707,463,168 would take you about one billion, two hundred fifty-seven million, nine hundred ninety-seven thousand, four hundred thirty-four 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 13187838707463168 cubic inches would be around 19688.4 feet tall.
Recreational maths with 13187838707463168
- 13187838707463168 backwards is 86136470783878131
- 13187838707463168 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13187838707463168's digits is 81
- More coming soon!
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"Number 13187838707463168 - Facts about the integer". Numbermatics.com. 2024. Web. 31 May 2024.
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Numbermatics. (2024). Number 13187838707463168 - Facts about the integer. Retrieved 31 May 2024, from https://numbermatics.com/n/13187838707463168/
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The information we have on file for 13187838707463168 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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