201009972816000
201,009,972,816,000 is an even composite number composed of eight prime numbers multiplied together.
What does the number 201009972816000 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 4096 divisors.
201009972816000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of four thousand and ninety-six divisors.
Prime factorization of 201009972816000:
27 × 33 × 53 × 17 × 37 × 61 × 67 × 181
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 17 × 37 × 61 × 67 × 181)See below for interesting mathematical facts about the number 201009972816000 from the Numbermatics database.
Names of 201009972816000
- Cardinal: 201009972816000 can be written as Two hundred one trillion, nine billion, nine hundred seventy-two million, eight hundred sixteen thousand.
Scientific notation
- Scientific notation: 2.01009972816 × 1014
Factors of 201009972816000
Divisors of 201009972816000
- Number of divisors d(n): 4096
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 27 30 32 34 36 37 40 45 48 50 51 54 60 61 64 67 68 72 74 75 80 85 90 96 100 102 108 111 120 122 125 128 134 135 136 144 148 150 153 160 170 180 181 183 185 192 200 201 204 216 222 225 240 244 250 255 268 270 272 288 296 300 305 306 320 333 335 340 360 362 366 370 375 384 400 402 408 425 432 444 450 459 480 488 500 510 536 540 543 544 549 555 576 592 600 603 610 612 629 640 666 670 675 680 720 724 732 740 750 765 800 804 816 850 864 888 900 905 915 918 925 960 976 999 1000 1005 1020 1037 1072 1080 1086 1088 1098 1110 1125 1139 1152 1184 1200 1206 1220 1224 1258 1275 1332 1340 1350 1360 1440 1448 1464 1480 1500 1525 1530 1600 1608 1629 1632 1647 1665 1675 1700 1728 1776 1800 1809 1810 1830 1836 1850 1887 1920 1952 1998 2000 2010 2040 2074 2125 2144 2160 2172 2176 2196 2220 2250 2257 2278 2295 2368 2400 2412 2440 2448 2479 2516 2550 2664 2680 2700 2715 2720 2745 2775 2880 2896 2928 2960 3000 3015 3050 3060 3077 3111 3145 3200 3216 3258 3264 3294 3330 3350 3375 3400 3417 3456 3552 3600 3618 3620 3660 3672 3700 3774 3825 3904 3996 4000 4020 4080 4087 4148 4250 4288 4320 4344 4392 4440 4500 4514 4525 4556 4575 4590 4625 4736 4800 4824 4880 4887 4896 4958 4995 5025 5032 5100 5185 5328 5360 5400 5430 5440 5490 5550 5661 5695 5760 5792 5856 5920 6000 6030 6100 6120 6154 6222 6290 6375 6432 6516 6528 6588 6660 6697 6700 6750 6771 6800 6834 7104 7200 7236 7240 7320 7344 7400 7437 7548 7625 7650 7808 7992 8000 8040 8145 8160 8174 8235 8296 8325 8375 8500 8576 8640 8688 8784 8880 9000 9028 9045 9050 9112 9150 9180 9231 9250 9333 9435 9600 9648 9760 9774 9792 9916 9990 10050 10064 10200 10251 10370 10656 10720 10800 10860 10880 10980 11041 11100 11285 11322 11390 11475 11584 11712 11840 12000 12060 12127 12200 12240 12261 12308 12395 12444 12580 12750 12864 13032 13176 13320 13394 13400 13500 13542 13575 13600 13668 13725 13875 14208 14400 14472 14480 14640 14688 14800 14874 15075 15096 15250 15300 15385 15555 15725 15984 16000 16080 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2956029012000 3000148848000 3140780825250 3295245456000 3350166213600 3722406904000 3941372016000 4020199456320 4187707767000 4466888284800 5025249320400 5432701968000 5583610356000 5912058024000 6281561650500 6700332427200 7444813808000 8040398912640 8375415534000 10050498640800 11167220712000 11824116048000 12563123301000 13400664854400 16750831068000 20100997281600 22334441424000 25126246602000 33501662136000 40201994563200 50252493204000 67003324272000 100504986408000 201009972816000
- Sum of all divisors σ(n): 835127648409600
- Sum of proper divisors (its aliquot sum) s(n): 634117675593600
- 201009972816000 is an abundant number, because the sum of its proper divisors (634117675593600) is greater than itself. Its abundance is 433107702777600
Bases of 201009972816000
- Binary: 1011011011010001010010000000011010101000100000002
- Hexadecimal: 0xB6D14806A880
- Base-36: 1Z92PFW2O0
Squares and roots of 201009972816000
- 201009972816000 squared (2010099728160002) is 40405009171489058969856000000
- 201009972816000 cubed (2010099728160003) is 8121809795191246425772175523434496000000000
-
The
square root of 201009972816000 is 14177798.5884974399 -
The
cube root of 201009972816000 is 58578.6288068775
Scales and comparisons
How big is 201009972816000?- 201,009,972,816,000 seconds is equal to 6,391,495 years, 19 weeks, 2 days.
-
To count from 1 to 201,009,972,816,000 would take you about fifteen million, nine hundred seventy-eight thousand, seven hundred thirty-eight 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 201009972816000 cubic inches would be around 4881.6 feet tall.
Recreational maths with 201009972816000
- 201009972816000 backwards is 000618279900102
- 201009972816000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 201009972816000's digits is 45
- More coming soon!
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Cite this page
MLA style:
"Number 201009972816000 - Facts about the integer". Numbermatics.com. 2024. Web. 13 June 2024.
APA style:
Numbermatics. (2024). Number 201009972816000 - Facts about the integer. Retrieved 13 June 2024, from https://numbermatics.com/n/201009972816000/
Chicago style:
Numbermatics. 2024. "Number 201009972816000 - Facts about the integer". https://numbermatics.com/n/201009972816000/
The information we have on file for 201009972816000 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 201009972816000, math, Factors of 201009972816000, curriculum, school, college, exams, university, Prime factorization of 201009972816000, STEM, science, technology, engineering, physics, economics, calculator, two hundred one trillion, nine billion, nine hundred seventy-two million, eight hundred sixteen thousand.