138457716541760
138,457,716,541,760 is an even composite number composed of nine prime numbers multiplied together.
What does the number 138457716541760 look like?
This visualization shows the relationship between its 9 prime factors (large circles) and 2688 divisors.
138457716541760 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of two thousand, six hundred eighty-eight divisors.
Prime factorization of 138457716541760:
26 × 5 × 7 × 11 × 17 × 19 × 312 × 43 × 421
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 11 × 17 × 19 × 31 × 31 × 43 × 421)See below for interesting mathematical facts about the number 138457716541760 from the Numbermatics database.
Names of 138457716541760
- Cardinal: 138457716541760 can be written as One hundred thirty-eight trillion, four hundred fifty-seven billion, seven hundred sixteen million, five hundred forty-one thousand, seven hundred sixty.
Scientific notation
- Scientific notation: 1.3845771654176 × 1014
Factors of 138457716541760
Divisors of 138457716541760
- Number of divisors d(n): 2688
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Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 17 19 20 22 28 31 32 34 35 38 40 43 44 55 56 62 64 68 70 76 77 80 85 86 88 95 110 112 119 124 133 136 140 152 154 155 160 170 172 176 187 190 209 215 217 220 224 238 248 266 272 280 301 304 308 310 320 323 340 341 344 352 374 380 385 418 421 430 434 440 448 473 476 496 527 532 544 560 589 595 602 608 616 620 646 665 680 682 688 704 731 748 760 770 817 836 842 860 868 880 935 946 952 961 992 1045 1054 1064 1085 1088 1120 1178 1190 1204 1216 1232 1240 1292 1309 1330 1333 1360 1364 1376 1462 1463 1496 1505 1520 1540 1615 1634 1672 1684 1705 1720 1736 1760 1870 1892 1904 1922 1984 2090 2105 2108 2128 2170 2240 2261 2356 2365 2380 2387 2408 2464 2480 2584 2618 2635 2660 2666 2720 2728 2752 2924 2926 2945 2947 2992 3010 3040 3080 3230 3268 3311 3344 3368 3410 3440 3472 3520 3553 3655 3689 3740 3784 3808 3844 4085 4123 4180 4210 4216 4256 4340 4522 4631 4712 4730 4760 4774 4805 4816 4928 4960 5117 5168 5236 5270 5320 5332 5440 5456 5719 5797 5848 5852 5890 5894 5984 6020 6080 6160 6460 6479 6536 6545 6622 6665 6688 6727 6736 6820 6880 6944 7106 7157 7310 7315 7378 7480 7568 7616 7688 7999 8041 8170 8246 8360 8420 8432 8512 8680 8987 9044 9262 9331 9424 9460 9520 9548 9610 9632 9920 10013 10234 10336 10472 10540 10571 10640 10664 10912 11305 11438 11594 11696 11704 11780 11788 11935 11968 12040 12320 12920 12958 13051 13072 13090 13244 13330 13376 13454 13472 13640 13760 13888 13889 14212 14314 14620 14630 14663 14735 14756 14960 15136 15376 15998 16082 16337 16340 16492 16555 16720 16840 16864 17360 17765 17974 18088 18103 18259 18445 18524 18662 18848 18920 19040 19096 19220 19264 20026 20468 20615 20672 20944 21080 21142 21280 21328 21824 22610 22661 22876 23155 23188 23392 23408 23560 23576 23870 24080 24640 24871 25327 25585 25840 25916 26102 26144 26180 26488 26660 26908 26944 27280 27778 28424 28595 28628 28985 29240 29260 29326 29470 29512 29920 30272 30752 31996 32164 32395 32417 32674 32680 32984 33110 33440 33635 33680 33728 34720 35530 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20773850944 20908746080 21154731328 21183861160 21370229440 21433083056 22476902036 22772650747 22999620688 23137987390 23491299040 23507252384 23659896880 23676080120 23884374080 24210127040 25377147460 25451786129 25967313680 26025886568 26272811488 26443414160 26791353820 27058377280 27914862206 28096127545 28749525860 28815341632 29002454240 29087755576 29272244512 29384065480 29898016960 30618690080 31902699664 32532358210 32841014360 32887818656 33123855632 33581789120 33894177856 36019177040 36359694470 36590305640 37020779824 37532587840 37881728192 38969241920 39334578563 39878374580 40249336204 40603435936 41109773320 41404819540 41817492160 42367722320 42866166112 44953804072 45545301494 45999241376 46275974780 46982598080 47014504768 47319793760 47352160240 50311670255 50754294920 50903572258 51934627360 52051773136 52545622976 52886828320 53582707640 55829724412 56192255090 57499051720 58004908480 58175511152 58544489024 58768130960 61237380160 61811480599 63805399328 65064716420 65682028720 65775637312 66247711264 69787155515 72038354080 72719388940 73180611280 74041559648 78669157126 79756749160 80498672408 81206871872 82219546640 82809639080 84735444640 85732332224 89907608144 91090602988 91998482752 92551949560 94639587520 94704320480 100623340510 101508589840 101807144516 103869254720 104103546272 105773656640 107165415280 111659448824 112384510180 113863253735 114998103440 116351022304 117536261920 123622961198 127258930645 127610798656 130129432840 131364057440 132495422528 139574311030 144076708160 145438777880 146361222560 148083119296 157338314252 159513498320 160997344816 164439093280 165619278160 169470889280 179815216288 182181205976 185103899120 189408640960 196672892815 201246681020 203017179680 203614289032 208207092544 214330830560 223318897648 224769020360 227726507470 229996206880 232702044608 235072523840 247245922396 254517861290 260258865680 262728114880 279148622060 290877555760 292722445120 309057402995 314676628504 319026996640 321994689632 328878186560 331238556320 359630432576 364362411952 370207798240 393345785630 402493362040 406034359360 407228578064 428661661120 432680364193 446637795296 449538040720 455453014940 459992413760 494491844792 509035722580 520517731360 558297244120 581755111520 618114805990 629353257008 638053993280 643989379264 662477112640 728724823904 740415596480 786691571260 804986724080 814457156128 865360728386 893275590592 899076081440 910906029880 988983689584 1018071445160 1041035462720 1116594488240 1163510223040 1236229611980 1258706514016 1457449647808 1573383142520 1609973448160 1628914312256 1730721456772 1798152162880 1821812059760 1977967379168 2036142890320 2163401820965 2233188976480 2472459223960 2517413028032 3146766285040 3219946896320 3461442913544 3643624119520 3955934758336 4072285780640 4326803641930 4466377952960 4944918447920 6293532570080 6922885827088 7287248239040 8144571561280 8653607283860 9889836895840 12587065140160 13845771654176 17307214567720 19779673791680 27691543308352 34614429135440 69228858270880 138457716541760
- Sum of all divisors σ(n): 485560199393280
- Sum of proper divisors (its aliquot sum) s(n): 347102482851520
- 138457716541760 is an abundant number, because the sum of its proper divisors (347102482851520) is greater than itself. Its abundance is 208644766309760
Bases of 138457716541760
- Binary: 111110111101101001100110000001011001001010000002
- Hexadecimal: 0x7DED3302C940
- Base-36: 1D2ULHK1FK
Squares and roots of 138457716541760
- 138457716541760 squared (1384577165417602) is 19170539269958360733823897600
- 138457716541760 cubed (1384577165417603) is 2654309092192573397201982319070316363776000
-
The
square root of 138457716541760 is 11766805.7068076043 -
The
cube root of 138457716541760 is 51733.5627716395
Scales and comparisons
How big is 138457716541760?- 138,457,716,541,760 seconds is equal to 4,402,527 years, 5 weeks, 4 days, 9 hours, 9 minutes, 20 seconds.
-
To count from 1 to 138,457,716,541,760 would take you about eleven million, six thousand, three hundred seventeen 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 138457716541760 cubic inches would be around 4311.1 feet tall.
Recreational maths with 138457716541760
- 138457716541760 backwards is 067145617754831
- The number of decimal digits it has is: 15
- The sum of 138457716541760's digits is 65
- More coming soon!
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"Number 138457716541760 - Facts about the integer". Numbermatics.com. 2024. Web. 27 June 2024.
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Numbermatics. (2024). Number 138457716541760 - Facts about the integer. Retrieved 27 June 2024, from https://numbermatics.com/n/138457716541760/
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The information we have on file for 138457716541760 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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