138704845770648300
138,704,845,770,648,300 is an even composite number composed of nine prime numbers multiplied together.
What does the number 138704845770648300 look like?
This visualization shows the relationship between its 9 prime factors (large circles) and 2304 divisors.
138704845770648300 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 138704845770648300:
22 × 3 × 52 × 11 × 133 × 31 × 41 × 353 × 42641
(2 × 2 × 3 × 5 × 5 × 11 × 13 × 13 × 13 × 31 × 41 × 353 × 42641)See below for interesting mathematical facts about the number 138704845770648300 from the Numbermatics database.
Names of 138704845770648300
- Cardinal: 138704845770648300 can be written as One hundred thirty-eight quadrillion, seven hundred four trillion, eight hundred forty-five billion, seven hundred seventy million, six hundred forty-eight thousand, three hundred.
Scientific notation
- Scientific notation: 1.387048457706483 × 1017
Factors of 138704845770648300
Divisors of 138704845770648300
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 3 4 5 6 10 11 12 13 15 20 22 25 26 30 31 33 39 41 44 50 52 55 60 62 65 66 75 78 82 93 100 110 123 124 130 132 143 150 155 156 164 165 169 186 195 205 220 246 260 275 286 300 310 325 330 338 341 353 372 390 403 410 429 451 465 492 507 533 550 572 615 620 650 660 676 682 706 715 775 780 806 820 825 845 858 902 930 975 1014 1023 1025 1059 1066 1100 1209 1230 1271 1300 1353 1364 1412 1430 1550 1599 1612 1650 1690 1705 1716 1765 1804 1859 1860 1950 2015 2028 2046 2050 2118 2132 2145 2197 2255 2325 2418 2460 2535 2542 2665 2706 2860 3075 3100 3198 3300 3380 3410 3530 3575 3718 3813 3883 3900 4030 4092 4100 4225 4236 4290 4394 4433 4510 4589 4650 4836 5070 5084 5115 5239 5295 5330 5412 5577 5863 6045 6150 6355 6396 6591 6765 6820 6929 7060 7150 7436 7626 7766 7995 8060 8450 8525 8580 8788 8825 8866 9020 9178 9295 9300 10075 10140 10230 10478 10590 10660 10725 10943 10985 11154 11275 11649 11726 12090 12300 12675 12710 13182 13299 13325 13530 13767 13858 13981 14300 14473 15252 15532 15717 15990 16523 16900 17050 17589 17650 17732 18356 18590 19065 19415 20150 20460 20787 20956 21180 21450 21886 21970 22165 22308 22550 22945 23298 23452 24167 24180 25350 25420 25575 26195 26364 26475 26598 26650 27060 27534 27716 27885 27962 28946 29315 30225 31434 31775 31980 32829 32955 33046 33825 34100 34645 35178 35300 37180 38130 38830 39975 40300 41574 41943 42641 42900 43419 43772 43940 44330 45100 45890 46475 46596 48334 49569 50479 50700 51150 52390 52950 53196 53300 54715 54925 55068 55770 55924 57629 57892 58245 58630 59657 60450 62868 63550 65658 65910 66092 66495 67650 68107 68835 69290 69905 70356 72365 72501 76219 76260 77660 78585 79950 82615 83148 83886 85282 86838 87945 88660 90077 91780 92950 95325 96668 97075 99138 100958 102300 103935 104780 105900 109430 109850 110825 111540 114725 115258 116490 117260 119314 120373 120835 120900 127100 127923 130975 131316 131820 132990 135300 136214 137670 138580 139425 139810 142259 144730 145002 146575 151437 152438 157170 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10943183098276 11276816729321 11472691957870 11828828737050 11907017406700 12301981886532 12435435338950 12626749728780 12675212078100 12932852752508 13011711610755 13097719147370 13237721489850 13558635950210 13678978872845 13767230349444 14914499545231 14922522406740 15112752862350 15377477358165 15644579942550 15717262976844 15783437160975 16166065940635 16270363140252 16414774647414 17209037936805 17348948814340 17860526110050 18188414079550 18653153008425 19399279128762 19646578721055 20018017862700 20337953925315 20503303144220 21044582881300 21686186017925 21826096895460 22553633458642 22945383915740 23657657474100 24870870677900 25629128930275 26023423221510 26195438294740 26475442979700 27117271900420 27282621119325 27357957745690 28681729894675 29828999090462 30225505724700 30754954716330 31289159885100 31566874321950 32332131881270 32744297868425 32829549294828 33830450187963 33896589875525 34418075873610 35565345069397 35721052220100 36376828159100 37306306016850 38798558257524 39293157442110 40675907850630 41036936618535 42031771445651 43372372035850 44743498635693 45107266917284 48498197821905 51258257860550 52046846443020 54565242238650 54715915491380 56384083646605 57363459789350 59657998180924 61509909432660 63133748643900 64664263762540 65058558053775 65488595736850 67660900375926 67793179751050 68394894364225 68836151747220 71130690138794 74572497726155 74612612033700 76887386790825 78586314884220 80830329703175 81351815701260 82073873237070 84063542891302 86045189684025 86744744071700 89486997271386 96996395643810 98232893605275 101689769626575 102516515721100 106696035208191 109130484477300 112768167293210 114726919578700 126095314336953 130117116107550 130977191473700 135321800751852 135586359502100 136789788728450 142261380277588 149144995452310 153774773581650 161660659406350 164147746474140 168127085782604 169152250939815 172090379368050 177826725346985 178973994542772 193992791287620 196465787210550 203379539253150 205184683092675 210158857228255 213392070416382 223717493178465 225536334586420 242490989109525 252190628673906 260234232215100 273579577456900 281920418233025 298289990904620 307549547163300 323321318812700 338304501879630 344180758736100 355653450693970 372862488630775 392931574421100 406759078506300 410369366185350 420317714456510 426784140832764 447434986356930 462349485902161 484981978219050 504381257347812 533480176040955 563840836466050 630476571684765 676609003759260 711306901387940 745724977261550 820738732370700 840635428913020 845761254699075 889133626734925 894869972713860 924698971804322 969963956438100 1050794286141275 1066960352081910 1118587465892325 1127681672932100 1260953143369530 1387048457706483 1491449954523100 1691522509398150 1778267253469850 1849397943608644 2101588572282550 2133920704163820 2237174931784650 2311747429510805 2521906286739060 2667400880204775 2774096915412966 3152382858423825 3383045018796300 3556534506939700 4203177144565100 4474349863569300 4623494859021610 5334801760409550 5548193830825932 6304765716847650 6935242288532415 9246989718043220 10669603520819100 11558737147554025 12609531433695300 13870484577064830 23117474295108050 27740969154129660 34676211442662075 46234948590216100 69352422885324150 138704845770648300
- Sum of all divisors σ(n): 502942139402895360
- Sum of proper divisors (its aliquot sum) s(n): 364237293632247060
- 138704845770648300 is an abundant number, because the sum of its proper divisors (364237293632247060) is greater than itself. Its abundance is 225532447861598760
Bases of 138704845770648300
- Binary: 1111011001100011101010010100001001100100011101010111011002
- Hexadecimal: 0x1ECC75284C8EAEC
- Base-36: 11XQRIHAUPKC
Squares and roots of 138704845770648300
- 138704845770648300 squared (1387048457706483002) is 19239034240259331595925802292890000
- 138704845770648300 cubed (1387048457706483003) is 2668547277071392379714136492072458515201780587000000
-
The
square root of 138704845770648300 is 372430994.6428308483 -
The
cube root of 138704845770648300 is 517643.2373095357
Scales and comparisons
How big is 138704845770648300?- 138,704,845,770,648,300 seconds is equal to 4,410,385,053 years, 12 weeks, 6 days, 12 hours, 5 minutes.
-
To count from 1 to 138,704,845,770,648,300 would take you about thirteen billion, two hundred thirty-one million, one hundred fifty-five thousand, one hundred fifty-nine 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 138704845770648300 cubic inches would be around 43136.9 feet tall.
Recreational maths with 138704845770648300
- 138704845770648300 backwards is 003846077548407831
- 138704845770648300 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138704845770648300's digits is 75
- More coming soon!
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"Number 138704845770648300 - Facts about the integer". Numbermatics.com. 2024. Web. 4 June 2024.
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Numbermatics. (2024). Number 138704845770648300 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/138704845770648300/
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Numbermatics. 2024. "Number 138704845770648300 - Facts about the integer". https://numbermatics.com/n/138704845770648300/
The information we have on file for 138704845770648300 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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