138895727835006464000
138,895,727,835,006,464,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 138895727835006464000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2496 divisors.
138895727835006464000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, four hundred ninety-six divisors.
Prime factorization of 138895727835006464000:
212 × 53 × 75 × 2713 × 811
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 7 × 7 × 7 × 271 × 271 × 271 × 811)See below for interesting mathematical facts about the number 138895727835006464000 from the Numbermatics database.
Names of 138895727835006464000
- Cardinal: 138895727835006464000 can be written as One hundred thirty-eight quintillion, eight hundred ninety-five quadrillion, seven hundred twenty-seven trillion, eight hundred thirty-five billion, six million, four hundred sixty-four thousand.
Scientific notation
- Scientific notation: 1.38895727835006464 × 1020
Factors of 138895727835006464000
Divisors of 138895727835006464000
- Number of divisors d(n): 2496
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 64 70 80 98 100 112 125 128 140 160 175 196 200 224 245 250 256 271 280 320 343 350 392 400 448 490 500 512 542 560 640 686 700 784 800 811 875 896 980 1000 1024 1084 1120 1225 1280 1355 1372 1400 1568 1600 1622 1715 1750 1792 1897 1960 2000 2048 2168 2240 2401 2450 2560 2710 2744 2800 3136 3200 3244 3430 3500 3584 3794 3920 4000 4055 4096 4336 4480 4802 4900 5120 5420 5488 5600 5677 6125 6272 6400 6488 6775 6860 7000 7168 7588 7840 8000 8110 8575 8672 8960 9485 9604 9800 10240 10840 10976 11200 11354 12005 12250 12544 12800 12976 13279 13550 13720 14000 14336 15176 15680 16000 16220 16807 17150 17344 17920 18970 19208 19600 20275 20480 21680 21952 22400 22708 24010 24500 25088 25600 25952 26558 27100 27440 28000 28385 28672 30352 31360 32000 32440 33614 33875 34300 34688 35840 37940 38416 39200 39739 40550 42875 43360 43904 44800 45416 47425 48020 49000 50176 51200 51904 53116 54200 54880 56000 56770 60025 60704 62720 64000 64880 66395 67228 67750 68600 69376 71680 73441 75880 76832 78400 79478 81100 84035 85750 86720 87808 89600 90832 92953 94850 96040 98000 100352 101375 102400 103808 106232 108400 109760 112000 113540 120050 121408 125440 128000 129760 132790 134456 135500 137200 138752 141925 143360 146882 151760 153664 156800 158956 162200 168070 171500 173440 175616 179200 181664 185906 189700 192080 196000 198695 200704 202750 207616 212464 216800 219520 219781 224000 227080 237125 240100 242816 250880 256000 259520 265580 268912 271000 274400 277504 278173 283850 293764 300125 303520 307328 313600 317912 324400 331975 336140 343000 346880 351232 358400 363328 367205 371812 379400 384160 392000 397390 405500 415232 420175 424928 433600 439040 439562 448000 454160 464765 474250 480200 485632 501760 512000 514087 519040 531160 537824 542000 548800 555008 556346 567700 587528 600250 607040 614656 627200 635824 648800 650671 663950 672280 686000 693760 702464 709625 716800 726656 734410 743624 758800 768320 784000 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22676853524082688 24466395602432000 24802808541965440 25308988308128000 25626518050739200 27128071842774700 28346066905103360 28924558066432000 31003510677456800 32033147563424000 33910089803468375 34252953843404800 34723931958751616 35432583631379200 36609311501056000 38754388346821000 39684493667144704 40494381293004800 42816192304256000 43404914948439520 44290729539224000 49605617083930880 50617976616256000 51253036101478400 54256143685549400 56692133810206720 57849116132864000 62007021354913600 64066295126848000 67820179606936750 69447863917503232 70865167262758400 73218623002112000 77508776693642000 79368987334289408 80988762586009600 85632384608512000 86809829896879040 88581459078448000 99211234167861760 101235953232512000 102506072202956800 108512287371098800 113384267620413440 124014042709827200 128132590253696000 135640359213873500 138895727835006464 141730334525516800 155017553387284000 158737974668578816 171264769217024000 173619659793758080 177162918156896000 198422468335723520 202471906465024000 217024574742197600 248028085419654400 256265180507392000 271280718427747000 277791455670012928 283460669051033600 310035106774568000 347239319587516160 354325836313792000 396844936671447040 404943812930048000 434049149484395200 496056170839308800 512530361014784000 542561436855494000 555582911340025856 566921338102067200 620070213549136000 694478639175032320 708651672627584000 793689873342894080 868098298968790400 992112341678617600 1085122873710988000 1111165822680051712 1240140427098272000 1388957278350064640 1417303345255168000 1736196597937580800 1984224683357235200 2170245747421976000 2480280854196544000 2777914556700129280 2834606690510336000 3472393195875161600 3968449366714470400 4340491494843952000 4960561708393088000 5555829113400258560 6944786391750323200 8680982989687904000 9921123416786176000 13889572783500646400 17361965979375808000 19842246833572352000 27779145567001292800 34723931958751616000 69447863917503232000 138895727835006464000
- Sum of all divisors σ(n): 406409874141431107584
- Sum of proper divisors (its aliquot sum) s(n): 267514146306424643584
- 138895727835006464000 is an abundant number, because the sum of its proper divisors (267514146306424643584) is greater than itself. Its abundance is 128618418471418179584
Bases of 138895727835006464000
- Binary: 11110000111100100001100000010010000100110001110010101110000000000002
- Hexadecimal: 0x78790C09098E57000
- Base-36: TB9IYAYDZ22GW
Squares and roots of 138895727835006464000
- 138895727835006464000 squared (1388957278350064640002) is 19292023210816189431194450921783296000000
- 138895727835006464000 cubed (1388957278350064640003) is 2679579605276152979085022630042760794996002567225344000000000
-
The
square root of 138895727835006464000 is 11785403168.1146345075 -
The
cube root of 138895727835006464000 is 5178805.8426440437
Scales and comparisons
How big is 138895727835006464000?- 138,895,727,835,006,464,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,895,727,835,006,464,000 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 138895727835006464000 cubic inches would be around 431567.2 feet tall.
Recreational maths with 138895727835006464000
- 138895727835006464000 backwards is 000464600538727598831
- The number of decimal digits it has is: 21
- The sum of 138895727835006464000's digits is 86
- More coming soon!
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"Number 138895727835006464000 - Facts about the integer". Numbermatics.com. 2024. Web. 22 September 2024.
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Numbermatics. (2024). Number 138895727835006464000 - Facts about the integer. Retrieved 22 September 2024, from https://numbermatics.com/n/138895727835006464000/
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Numbermatics. 2024. "Number 138895727835006464000 - Facts about the integer". https://numbermatics.com/n/138895727835006464000/
The information we have on file for 138895727835006464000 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 138895727835006464000, math, Factors of 138895727835006464000, curriculum, school, college, exams, university, Prime factorization of 138895727835006464000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, eight hundred ninety-five quadrillion, seven hundred twenty-seven trillion, eight hundred thirty-five billion, six million, four hundred sixty-four thousand.