138199235226078248960
138,199,235,226,078,248,960 is an even composite number composed of five prime numbers multiplied together.
What does the number 138199235226078248960 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1536 divisors.
138199235226078248960 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 138199235226078248960:
215 × 5 × 172 × 313 × 4613
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 17 × 17 × 31 × 31 × 31 × 461 × 461 × 461)See below for interesting mathematical facts about the number 138199235226078248960 from the Numbermatics database.
Names of 138199235226078248960
- Cardinal: 138199235226078248960 can be written as One hundred thirty-eight quintillion, one hundred ninety-nine quadrillion, two hundred thirty-five trillion, two hundred twenty-six billion, seventy-eight million, two hundred forty-eight thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.3819923522607824896 × 1020
Factors of 138199235226078248960
Divisors of 138199235226078248960
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 4 5 8 10 16 17 20 31 32 34 40 62 64 68 80 85 124 128 136 155 160 170 248 256 272 289 310 320 340 461 496 512 527 544 578 620 640 680 922 961 992 1024 1054 1088 1156 1240 1280 1360 1445 1844 1922 1984 2048 2108 2176 2305 2312 2480 2560 2635 2720 2890 3688 3844 3968 4096 4216 4352 4610 4624 4805 4960 5120 5270 5440 5780 7376 7688 7837 7936 8192 8432 8704 8959 9220 9248 9610 9920 10240 10540 10880 11560 14291 14752 15376 15674 15872 16337 16384 16864 17408 17918 18440 18496 19220 19840 20480 21080 21760 23120 28582 29504 29791 30752 31348 31744 32674 32768 33728 34816 35836 36880 36992 38440 39185 39680 40960 42160 43520 44795 46240 57164 59008 59582 61504 62696 63488 65348 67456 69632 71455 71672 73760 73984 76880 78370 79360 81685 81920 84320 87040 89590 92480 114328 118016 119164 123008 125392 126976 130696 133229 134912 139264 142910 143344 147520 147968 148955 153760 156740 158720 163370 163840 168640 174080 179180 184960 212521 228656 236032 238328 242947 246016 250784 253952 261392 266458 269824 277729 278528 285820 286688 295040 295936 297910 307520 313480 317440 326740 337280 348160 358360 369920 425042 443021 457312 472064 476656 485894 492032 501568 506447 507904 522784 532916 539648 555458 557056 571640 573376 590080 591872 595820 615040 626960 634880 653480 666145 674560 696320 716720 739840 850084 886042 914624 944128 953312 971788 984064 1003136 1012894 1015808 1045568 1062605 1065832 1079296 1110916 1143280 1146752 1180160 1183744 1191640 1214735 1230080 1253920 1269760 1306960 1332290 1349120 1388645 1392640 1433440 1479680 1700168 1772084 1829248 1888256 1906624 1943576 1968128 2006272 2025788 2091136 2125210 2131664 2158592 2215105 2221832 2286560 2293504 2360320 2367488 2383280 2429470 2460160 2507840 2532235 2539520 2613920 2664580 2698240 2777290 2785280 2866880 2959360 3400336 3544168 3612857 3658496 3776512 3813248 3887152 3936256 4012544 4051576 4130099 4182272 4250420 4263328 4317184 4430210 4443664 4573120 4587008 4720640 4734976 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8817100626903040 8987983560488960 9368169416084480 9670368429506560 11954951144124416 12702135590632192 13111881900007424 13496019065046704 13931374518757888 14380773696782336 14943688930155520 14989071065735168 15425743411773440 15877669488290240 16389852375009280 16870023831308380 17414218148447360 17634201253806080 17975967120977920 18736338832168960 23909902288248832 25404271181264384 26223763800014848 26992038130093408 27862749037515776 28761547393564672 29887377860311040 29978142131470336 31755338976580480 32779704750018560 33740047662616760 34828436296894720 35951934241955840 37472677664337920 47819804576497664 50808542362528768 52447527600029696 53984076260186816 55725498075031552 59774755720622080 59956284262940672 63510677953160960 65559409500037120 67480095325233520 69656872593789440 71903868483911680 74945355328675840 95639609152995328 101617084725057536 107968152520373632 111450996150063104 119549511441244160 127021355906321920 131118819000074240 134960190650467040 139313745187578880 143807736967823360 149890710657351680 203234169450115072 215936305040747264 222901992300126208 239099022882488320 254042711812643840 262237638000148480 269920381300934080 278627490375157760 299781421314703360 406468338900230144 431872610081494528 445803984600252416 478198045764976640 508085423625287680 539840762601868160 557254980750315520 812936677800460288 863745220162989056 891607969200504832 1016170847250575360 1079681525203736320 1114509961500631040 1625873355600920576 1727490440325978112 2032341694501150720 2159363050407472640 2229019923001262080 3454980880651956224 4064683389002301440 4318726100814945280 4458039846002524160 6909961761303912448 8129366778004602880 8637452201629890560 13819923522607824896 17274904403259781120 27639847045215649792 34549808806519562240 69099617613039124480 138199235226078248960
- Sum of all divisors σ(n): 364866381662533470720
- Sum of proper divisors (its aliquot sum) s(n): 226667146436455221760
- 138199235226078248960 is an abundant number, because the sum of its proper divisors (226667146436455221760) is greater than itself. Its abundance is 88467911210376972800
Bases of 138199235226078248960
- Binary: 11101111101111001100101000000111010001010010000101110000000000000002
- Hexadecimal: 0x77DE6503A290B8000
- Base-36: T5Z10A305GE0W
Squares and roots of 138199235226078248960
- 138199235226078248960 squared (1381992352260782489602) is 19099028617072907163934465852819741081600
- 138199235226078248960 cubed (1381992352260782489603) is 2639471148440458655866535983272254514573592718248704475136000
-
The
square root of 138199235226078248960 is 11755817080.3257333161 -
The
cube root of 138199235226078248960 is 5170134.9593333597
Scales and comparisons
How big is 138199235226078248960?- 138,199,235,226,078,248,960 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,199,235,226,078,248,960 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 138199235226078248960 cubic inches would be around 430844.6 feet tall.
Recreational maths with 138199235226078248960
- 138199235226078248960 backwards is 069842870622532991831
- The number of decimal digits it has is: 21
- The sum of 138199235226078248960's digits is 95
- More coming soon!
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The information we have on file for 138199235226078248960 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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