972493429320000
972,493,429,320,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 972493429320000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 4200 divisors.
972493429320000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four thousand, two hundred divisors.
Prime factorization of 972493429320000:
26 × 34 × 54 × 72 × 473 × 59
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 7 × 7 × 47 × 47 × 47 × 59)See below for interesting mathematical facts about the number 972493429320000 from the Numbermatics database.
Names of 972493429320000
- Cardinal: 972493429320000 can be written as Nine hundred seventy-two trillion, four hundred ninety-three billion, four hundred twenty-nine million, three hundred twenty thousand.
Scientific notation
- Scientific notation: 9.7249342932 × 1014
Factors of 972493429320000
Divisors of 972493429320000
- Number of divisors d(n): 4200
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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 59 60 63 64 70 72 75 80 81 84 90 94 96 98 100 105 108 112 118 120 125 126 135 140 141 144 147 150 160 162 168 175 177 180 188 189 192 196 200 210 216 224 225 235 236 240 245 250 252 270 280 282 288 294 295 300 315 320 324 329 336 350 354 360 375 376 378 392 400 405 413 420 423 432 441 448 450 470 472 480 490 500 504 525 531 540 560 564 567 576 588 590 600 625 630 648 658 672 675 700 705 708 720 735 750 752 756 784 800 810 826 840 846 864 875 882 885 900 940 944 945 960 980 987 1000 1008 1050 1062 1080 1120 1125 1128 1134 1175 1176 1180 1200 1225 1239 1250 1260 1269 1296 1316 1323 1344 1350 1400 1410 1416 1440 1470 1475 1500 1504 1512 1568 1575 1593 1600 1620 1645 1652 1680 1692 1728 1750 1764 1770 1800 1875 1880 1888 1890 1960 1974 2000 2016 2025 2065 2100 2115 2124 2160 2205 2209 2240 2250 2256 2268 2303 2350 2352 2360 2400 2450 2478 2500 2520 2538 2592 2625 2632 2646 2655 2700 2773 2800 2820 2832 2835 2880 2891 2940 2950 2961 3000 3008 3024 3136 3150 3186 3240 3290 3304 3360 3375 3384 3500 3525 3528 3540 3600 3675 3717 3750 3760 3776 3780 3807 3920 3948 3969 4000 4032 4050 4130 4200 4230 4248 4320 4375 4410 4418 4425 4500 4512 4536 4606 4700 4704 4720 4725 4779 4800 4900 4935 4956 5000 5040 5076 5184 5250 5264 5292 5310 5400 5546 5600 5625 5640 5664 5670 5782 5875 5880 5900 5922 6000 6048 6125 6195 6300 6345 6372 6480 6580 6608 6615 6627 6720 6750 6768 6909 7000 7050 7056 7080 7200 7350 7375 7434 7500 7520 7560 7614 7840 7875 7896 7938 7965 8000 8100 8225 8260 8319 8400 8460 8496 8640 8673 8750 8820 8836 8850 8883 9000 9024 9072 9212 9400 9408 9440 9450 9558 9800 9870 9912 10000 10080 10125 10152 10325 10500 10528 10575 10584 10620 10800 11025 11045 11092 11151 11200 11250 11280 11328 11340 11515 11564 11750 11760 11800 11844 12000 12096 12250 12390 12600 12690 12744 12960 13125 13160 13216 13230 13254 13275 13500 13536 13818 13865 14000 14100 14112 14160 14175 14400 14455 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7779947434560 8104111911000 8241469740000 8682977047500 9004568790000 9261842184000 9724934293200 9923402340000 10130139888750 10345674780000 10805482548000 11577302730000 12006091720000 12156167866500 12966579057600 13506853185000 13892763276000 15195209833125 15436403640000 16208223822000 16482939480000 17365954095000 18009137580000 19449868586400 19846804680000 20260279777500 20691349560000 21610965096000 23154605460000 24312335733000 27013706370000 27785526552000 30390419666250 32416447644000 34731908190000 36018275160000 38899737172800 40520559555000 46309210920000 48624671466000 54027412740000 60780839332500 64832895288000 69463816380000 81041119110000 97249342932000 108054825480000 121561678665000 138927632760000 162082238220000 194498685864000 243123357330000 324164476440000 486246714660000 972493429320000
- Sum of all divisors σ(n): 4354113465187200
- Sum of proper divisors (its aliquot sum) s(n): 3381620035867200
- 972493429320000 is an abundant number, because the sum of its proper divisors (3381620035867200) is greater than itself. Its abundance is 2409126606547200
Bases of 972493429320000
- Binary: 110111010001111010010001010110011010101001010000002
- Hexadecimal: 0x3747A4566A940
- Base-36: 9KPXBAS400
Squares and roots of 972493429320000
- 972493429320000 squared (9724934293200002) is 945743470070573835662400000000
- 972493429320000 cubed (9724934293200003) is 919729310465929131863593489781568000000000000
-
The
square root of 972493429320000 is 31184826.9086105399 -
The
cube root of 972493429320000 is 99074.5766448141
Scales and comparisons
How big is 972493429320000?- 972,493,429,320,000 seconds is equal to 30,922,282 years, 48 weeks, 3 days, 12 hours.
-
To count from 1 to 972,493,429,320,000 would take you about seventy-seven million, three hundred five thousand, seven hundred seven 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 972493429320000 cubic inches would be around 8256.2 feet tall.
Recreational maths with 972493429320000
- 972493429320000 backwards is 000023924394279
- 972493429320000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 972493429320000's digits is 54
- More coming soon!
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"Number 972493429320000 - Facts about the integer". Numbermatics.com. 2024. Web. 27 September 2024.
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Numbermatics. (2024). Number 972493429320000 - Facts about the integer. Retrieved 27 September 2024, from https://numbermatics.com/n/972493429320000/
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Numbermatics. 2024. "Number 972493429320000 - Facts about the integer". https://numbermatics.com/n/972493429320000/
The information we have on file for 972493429320000 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 972493429320000, math, Factors of 972493429320000, curriculum, school, college, exams, university, Prime factorization of 972493429320000, STEM, science, technology, engineering, physics, economics, calculator, nine hundred seventy-two trillion, four hundred ninety-three billion, four hundred twenty-nine million, three hundred twenty thousand.