138295093506048000
138,295,093,506,048,000 is an even composite number composed of four prime numbers multiplied together.
What does the number 138295093506048000 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 2816 divisors.
138295093506048000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of two thousand, eight hundred sixteen divisors.
Prime factorization of 138295093506048000:
215 × 310 × 53 × 833
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 83 × 83 × 83)See below for interesting mathematical facts about the number 138295093506048000 from the Numbermatics database.
Names of 138295093506048000
- Cardinal: 138295093506048000 can be written as One hundred thirty-eight quadrillion, two hundred ninety-five trillion, ninety-three billion, five hundred six million, forty-eight thousand.
Scientific notation
- Scientific notation: 1.38295093506048 × 1017
Factors of 138295093506048000
Divisors of 138295093506048000
- Number of divisors d(n): 2816
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 75 80 81 83 90 96 100 108 120 125 128 135 144 150 160 162 166 180 192 200 216 225 240 243 249 250 256 270 288 300 320 324 332 360 375 384 400 405 415 432 450 480 486 498 500 512 540 576 600 640 648 664 675 720 729 747 750 768 800 810 830 864 900 960 972 996 1000 1024 1080 1125 1152 1200 1215 1245 1280 1296 1328 1350 1440 1458 1494 1500 1536 1600 1620 1660 1728 1800 1920 1944 1992 2000 2025 2048 2075 2160 2187 2241 2250 2304 2400 2430 2490 2560 2592 2656 2700 2880 2916 2988 3000 3072 3200 3240 3320 3375 3456 3600 3645 3735 3840 3888 3984 4000 4050 4096 4150 4320 4374 4482 4500 4608 4800 4860 4980 5120 5184 5312 5400 5760 5832 5976 6000 6075 6144 6225 6400 6480 6561 6640 6723 6750 6889 6912 7200 7290 7470 7680 7776 7968 8000 8100 8192 8300 8640 8748 8964 9000 9216 9600 9720 9960 10125 10240 10368 10375 10624 10800 10935 11205 11520 11664 11952 12000 12150 12288 12450 12800 12960 13122 13280 13446 13500 13778 13824 14400 14580 14940 15360 15552 15936 16000 16200 16384 16600 17280 17496 17928 18000 18225 18432 18675 19200 19440 19683 19920 20169 20250 20480 20667 20736 20750 21248 21600 21870 22410 23040 23328 23904 24000 24300 24576 24900 25600 25920 26244 26560 26892 27000 27556 27648 28800 29160 29880 30375 30720 31104 31125 31872 32000 32400 32768 32805 33200 33615 34445 34560 34992 35856 36000 36450 36864 37350 38400 38880 39366 39840 40338 40500 40960 41334 41472 41500 42496 43200 43740 44820 46080 46656 47808 48000 48600 49152 49800 51200 51840 52488 53120 53784 54000 54675 55112 55296 56025 57600 58320 59049 59760 60507 60750 61440 62001 62208 62250 63744 64000 64800 65610 66400 67230 68890 69120 69984 71712 72000 72900 73728 74700 76800 77760 78732 79680 80676 81000 81920 82668 82944 83000 84992 86400 87480 89640 91125 92160 93312 93375 95616 96000 97200 98304 98415 99600 100845 102400 103335 103680 104976 106240 107568 108000 109350 110224 110592 112050 115200 116640 118098 119520 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34712623872000 35569725696000 36014347267200 37026798796800 37941040742400 38415303751680 40015941408000 40976324001792 41655148646400 42683670835200 43217216720640 45017934084000 46098364502016 46283498496000 47426300928000 48019129689600 51220405002240 52068935808000 53354588544000 54021520900800 55540198195200 56911561113600 57622955627520 60023912112000 61464486002688 61711331328000 63235067904000 64025506252800 66648237834240 67526901126000 68293873336320 69147546753024 69425247744000 71139451392000 72028694534400 76830607503360 80031882816000 83310297292800 85367341670400 86434433441280 90035868168000 92196729004032 92566996992000 94852601856000 96038259379200 102440810004480 104137871616000 106709177088000 108043041801600 111080396390400 113823122227200 115245911255040 120047824224000 122928972005376 128051012505600 135053802252000 138295093506048 138850495488000 142278902784000 144057389068800 153661215006720 160063765632000 166620594585600 170734683340800 172868866882560 180071736336000 184393458008064 185133993984000 189705203712000 192076518758400 204881620008960 208275743232000 213418354176000 216086083603200 230491822510080 240095648448000 256102025011200 270107604504000 276590187012096 277700990976000 284557805568000 288114778137600 307322430013440 320127531264000 333241189171200 341469366681600 345737733765120 360143472672000 368786916016128 384153037516800 416551486464000 426836708352000 432172167206400 460983645020160 480191296896000 512204050022400 540215209008000 553180374024192 555401981952000 569115611136000 576229556275200 614644860026880 640255062528000 691475467530240 720286945344000 768306075033600 833102972928000 853673416704000 864344334412800 921967290040320 960382593792000 1024408100044800 1080430418016000 1106360748048384 1152459112550400 1280510125056000 1382950935060480 1440573890688000 1536612150067200 1666205945856000 1707346833408000 1728688668825600 1843934580080640 1920765187584000 2160860836032000 2304918225100800 2561020250112000 2765901870120960 2881147781376000 3073224300134400 3457377337651200 3841530375168000 4321721672064000 4609836450201600 5122040500224000 5531803740241920 5762295562752000 6914754675302400 7683060750336000 8643443344128000 9219672900403200 11524591125504000 13829509350604800 15366121500672000 17286886688256000 23049182251008000 27659018701209600 34573773376512000 46098364502016000 69147546753024000 138295093506048000
- Sum of all divisors σ(n): 524080215168400800
- Sum of proper divisors (its aliquot sum) s(n): 385785121662352800
- 138295093506048000 is an abundant number, because the sum of its proper divisors (385785121662352800) is greater than itself. Its abundance is 247490028156304800
Bases of 138295093506048000
- Binary: 1111010110101001010100111101000101001101110000000000000002
- Hexadecimal: 0x1EB52A7A29B8000
- Base-36: 11TPIOW00000
Squares and roots of 138295093506048000
- 138295093506048000 squared (1382950935060480002) is 19125532887846559701012578304000000
- 138295093506048000 cubed (1382950935060480003) is 2644967359077736210410562554299475497582592000000000
-
The
square root of 138295093506048000 is 371880482.8248559753 -
The
cube root of 138295093506048000 is 517133.0059294243
Scales and comparisons
How big is 138295093506048000?- 138,295,093,506,048,000 seconds is equal to 4,397,356,198 years, 35 weeks, 3 days.
-
To count from 1 to 138,295,093,506,048,000 would take you about thirteen billion, one hundred ninety-two million, sixty-eight thousand, five hundred ninety-six 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 138295093506048000 cubic inches would be around 43094.4 feet tall.
Recreational maths with 138295093506048000
- 138295093506048000 backwards is 000840605390592831
- The number of decimal digits it has is: 18
- The sum of 138295093506048000's digits is 63
- More coming soon!
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"Number 138295093506048000 - Facts about the integer". Numbermatics.com. 2024. Web. 3 May 2024.
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Numbermatics. (2024). Number 138295093506048000 - Facts about the integer. Retrieved 3 May 2024, from https://numbermatics.com/n/138295093506048000/
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Numbermatics. 2024. "Number 138295093506048000 - Facts about the integer". https://numbermatics.com/n/138295093506048000/
The information we have on file for 138295093506048000 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!
Keywords: Divisors of 138295093506048000, math, Factors of 138295093506048000, curriculum, school, college, exams, university, Prime factorization of 138295093506048000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, two hundred ninety-five trillion, ninety-three billion, five hundred six million, forty-eight thousand.