138456691632000
138,456,691,632,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 138456691632000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 3072 divisors.
138456691632000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three thousand and seventy-two divisors.
Prime factorization of 138456691632000:
27 × 35 × 53 × 73 × 473
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 7 × 47 × 47 × 47)See below for interesting mathematical facts about the number 138456691632000 from the Numbermatics database.
Names of 138456691632000
- Cardinal: 138456691632000 can be written as One hundred thirty-eight trillion, four hundred fifty-six billion, six hundred ninety-one million, six hundred thirty-two thousand.
Scientific notation
- Scientific notation: 1.38456691632 × 1014
Factors of 138456691632000
Divisors of 138456691632000
- Number of divisors d(n): 3072
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 47 48 49 50 54 56 60 63 64 70 72 75 80 81 84 90 94 96 98 100 105 108 112 120 125 126 128 135 140 141 144 147 150 160 162 168 175 180 188 189 192 196 200 210 216 224 225 235 240 243 245 250 252 270 280 282 288 294 300 315 320 324 329 336 343 350 360 375 376 378 384 392 400 405 420 423 432 441 448 450 470 480 486 490 500 504 525 540 560 564 567 576 588 600 630 640 648 658 672 675 686 700 705 720 735 750 752 756 784 800 810 840 846 864 875 882 896 900 940 945 960 972 980 987 1000 1008 1029 1050 1080 1120 1125 1128 1134 1152 1175 1176 1200 1215 1225 1260 1269 1296 1316 1323 1344 1350 1372 1400 1410 1440 1470 1500 1504 1512 1568 1575 1600 1620 1645 1680 1692 1701 1715 1728 1750 1764 1800 1880 1890 1920 1944 1960 1974 2000 2016 2025 2058 2100 2115 2160 2205 2209 2240 2250 2256 2268 2303 2350 2352 2400 2430 2450 2520 2538 2592 2625 2632 2646 2688 2700 2744 2800 2820 2835 2880 2940 2961 3000 3008 3024 3087 3136 3150 3200 3240 3290 3360 3375 3384 3402 3430 3456 3500 3525 3528 3600 3675 3760 3780 3807 3888 3920 3948 3969 4000 4032 4050 4116 4200 4230 4320 4410 4418 4480 4500 4512 4536 4606 4700 4704 4725 4800 4860 4900 4935 5040 5076 5145 5184 5250 5264 5292 5400 5488 5600 5640 5670 5760 5875 5880 5922 6000 6016 6048 6075 6125 6174 6272 6300 6345 6480 6580 6615 6627 6720 6750 6768 6804 6860 6909 7000 7050 7056 7200 7350 7520 7560 7614 7776 7840 7875 7896 7938 8000 8064 8100 8225 8232 8400 8460 8505 8575 8640 8820 8836 8883 9000 9024 9072 9212 9261 9400 9408 9450 9600 9720 9800 9870 10080 10125 10152 10290 10368 10500 10528 10575 10584 10800 10976 11025 11045 11200 11280 11340 11421 11515 11750 11760 11844 11907 12000 12096 12150 12250 12348 12600 12690 12960 13160 13230 13254 13440 13500 13536 13608 13720 13818 14000 14100 14112 14175 14400 14700 14805 15040 15120 15228 15435 15463 15552 15680 15750 15792 15876 16000 16121 16200 16450 16464 16800 16920 17010 17150 17280 17625 17640 17672 17766 18000 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16025080050 16146552960 16279446400 16366039200 16482939480 16819326000 16833640320 17093418720 17169728625 17307086454 17442264000 17535042000 17581802112 17660292300 17805644500 18184488000 18314377200 18411794100 18837645120 19230096060 19622547000 19639247040 19779527376 20040048000 20183191200 20349308000 20457549000 20512102464 20603674350 20892816000 20930716800 21042050400 21366773400 21821385600 21977252640 22075365375 22425768000 22605174144 22791224960 22892971500 23014742625 23076115272 23380056000 23547056400 23567096448 24037620075 24419169600 24549058800 24724409220 25228989000 25640128080 26163396000 26302563000 26372703168 26708466750 26910921600 27276732000 27471565800 28056067200 28256467680 28489031200 28845144090 29303003520 29433820500 29458870560 30060072000 30523962000 30686323500 30768153696 30905511525 31339224000 31396075200 32050160100 32732078400 32965878960 33638652000 34186837440 34339457250 34614172908 34884528000 35070084000 35320584600 35611289000 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366287544000 368235882000 369217844352 384601921200 395590547520 403663824000 412073487000 420841008000 427335468000 432677161350 439545052800 461522305440 470941128000 480752401500 490981176000 494488184400 512802561600 549431316000 553826766528 565129353600 569780624000 576902881800 589177411200 615363073920 618110230500 641003202000 659317579200 692283458160 706411692000 721128602250 732575088000 736471764000 769203842400 791181095040 824146974000 854670936000 865354322700 923044610880 941882256000 961504803000 981962352000 988976368800 1025605123200 1081692903375 1098862632000 1107653533056 1153805763600 1236220461000 1282006404000 1318635158400 1384566916320 1412823384000 1442257204500 1472943528000 1538407684800 1648293948000 1709341872000 1730708645400 1846089221760 1923009606000 1977952737600 2163385806750 2197725264000 2307611527200 2472440922000 2564012808000 2769133832640 2825646768000 2884514409000 2945887056000 3076815369600 3296587896000 3461417290800 3846019212000 3955905475200 4326771613500 4615223054400 4944881844000 5128025616000 5538267665280 5769028818000 6593175792000 6922834581600 7692038424000 8653543227000 9230446108800 9889763688000 11538057636000 13845669163200 15384076848000 17307086454000 19779527376000 23076115272000 27691338326400 34614172908000 46152230544000 69228345816000 138456691632000
- Sum of all divisors σ(n): 614411965440000
- Sum of proper divisors (its aliquot sum) s(n): 475955273808000
- 138456691632000 is an abundant number, because the sum of its proper divisors (475955273808000) is greater than itself. Its abundance is 337498582176000
Bases of 138456691632000
- Binary: 111110111101100111101011110101111100111100000002
- Hexadecimal: 0x7DECF5EBE780
- Base-36: 1D2U4JCO00
Squares and roots of 138456691632000
- 138456691632000 squared (1384566916320002) is 19170255457678738823424000000
- 138456691632000 cubed (1384566916320003) is 2654250148410490167797483266387968000000000
-
The
square root of 138456691632000 is 11766762.1558353937 -
The
cube root of 138456691632000 is 51733.4351216837
Scales and comparisons
How big is 138456691632000?- 138,456,691,632,000 seconds is equal to 4,402,494 years, 27 weeks.
-
To count from 1 to 138,456,691,632,000 would take you about eleven million, six thousand, two hundred thirty-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 138456691632000 cubic inches would be around 4311.1 feet tall.
Recreational maths with 138456691632000
- 138456691632000 backwards is 000236196654831
- 138456691632000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138456691632000's digits is 54
- More coming soon!
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"Number 138456691632000 - Facts about the integer". Numbermatics.com. 2024. Web. 5 May 2024.
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Numbermatics. (2024). Number 138456691632000 - Facts about the integer. Retrieved 5 May 2024, from https://numbermatics.com/n/138456691632000/
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The information we have on file for 138456691632000 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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