972328995732480000
972,328,995,732,480,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 972328995732480000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1120 divisors.
972328995732480000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, one hundred twenty divisors.
Prime factorization of 972328995732480000:
213 × 3 × 54 × 53 × 10613
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 53 × 1061 × 1061 × 1061)See below for interesting mathematical facts about the number 972328995732480000 from the Numbermatics database.
Names of 972328995732480000
- Cardinal: 972328995732480000 can be written as Nine hundred seventy-two quadrillion, three hundred twenty-eight trillion, nine hundred ninety-five billion, seven hundred thirty-two million, four hundred eighty thousand.
Scientific notation
- Scientific notation: 9.7232899573248 × 1017
Factors of 972328995732480000
Divisors of 972328995732480000
- Number of divisors d(n): 1120
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 53 60 64 75 80 96 100 106 120 125 128 150 159 160 192 200 212 240 250 256 265 300 318 320 375 384 400 424 480 500 512 530 600 625 636 640 750 768 795 800 848 960 1000 1024 1060 1061 1200 1250 1272 1280 1325 1500 1536 1590 1600 1696 1875 1920 2000 2048 2120 2122 2400 2500 2544 2560 2650 3000 3072 3180 3183 3200 3392 3750 3840 3975 4000 4096 4240 4244 4800 5000 5088 5120 5300 5305 6000 6144 6360 6366 6400 6625 6784 7500 7680 7950 8000 8192 8480 8488 9600 10000 10176 10240 10600 10610 12000 12288 12720 12732 12800 13250 13568 15000 15360 15900 15915 16000 16960 16976 19200 19875 20000 20352 20480 21200 21220 24000 24576 25440 25464 25600 26500 26525 27136 30000 30720 31800 31830 32000 33125 33920 33952 38400 39750 40000 40704 40960 42400 42440 48000 50880 50928 51200 53000 53050 54272 56233 60000 61440 63600 63660 64000 66250 67840 67904 76800 79500 79575 80000 81408 84800 84880 96000 99375 101760 101856 102400 106000 106100 108544 112466 120000 122880 127200 127320 128000 132500 132625 135680 135808 153600 159000 159150 160000 162816 168699 169600 169760 192000 198750 203520 203712 204800 212000 212200 217088 224932 240000 254400 254640 256000 265000 265250 271360 271616 281165 307200 318000 318300 320000 325632 337398 339200 339520 384000 397500 397875 407040 407424 424000 424400 434176 449864 480000 508800 509280 512000 530000 530500 542720 543232 562330 614400 636000 636600 640000 651264 663125 674796 678400 679040 768000 795000 795750 814080 814848 843495 848000 848800 899728 960000 1017600 1018560 1024000 1060000 1061000 1085440 1086464 1124660 1125721 1272000 1273200 1280000 1302528 1326250 1349592 1356800 1358080 1405825 1536000 1590000 1591500 1628160 1629696 1686990 1696000 1697600 1799456 1920000 1989375 2035200 2037120 2120000 2122000 2170880 2172928 2249320 2251442 2544000 2546400 2560000 2652500 2699184 2713600 2716160 2811650 3072000 3180000 3183000 3256320 3259392 3373980 3377163 3392000 3395200 3598912 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2430822489331200 2532106759720000 2592877321953280 3038528111664000 3057638351360000 3241096652441600 3669166021632000 3798160139580000 3889315982929920 4051370815552000 4586457527040000 4861644978662400 5064213519440000 6077056223328000 6115276702720000 6482193304883200 7596320279160000 7778631965859840 8102741631104000 9172915054080000 9723289957324800 10128427038880000 12154112446656000 12964386609766400 15192640558320000 16205483262208000 18345830108160000 19446579914649600 20256854077760000 24308224893312000 30385281116640000 32410966524416000 38893159829299200 40513708155520000 48616449786624000 60770562233280000 64821933048832000 81027416311040000 97232899573248000 121541124466560000 162054832622080000 194465799146496000 243082248933120000 324109665244160000 486164497866240000 972328995732480000
- Sum of all divisors σ(n): 3304105353491465952
- Sum of proper divisors (its aliquot sum) s(n): 2331776357758985952
- 972328995732480000 is an abundant number, because the sum of its proper divisors (2331776357758985952) is greater than itself. Its abundance is 1359447362026505952
Bases of 972328995732480000
- Binary: 1101011111100110100000010001111010110111001001100000000000002
- Hexadecimal: 0xD7E6811EB726000
- Base-36: 7DXXV24KEJUO
Squares and roots of 972328995732480000
- 972328995732480000 squared (9723289957324800002) is 945423675942133110051726950400000000
- 972328995732480000 cubed (9723289957324800003) is 919262853370523899206913724147535804628992000000000000
-
The
square root of 972328995732480000 is 986067439.7486614099 -
The
cube root of 972328995732480000 is 990689.9233755453
Scales and comparisons
How big is 972328995732480000?- 972,328,995,732,480,000 seconds is equal to 30,917,054,453 years, 12 weeks, 1 day, 18 hours, 40 minutes.
-
To count from 1 to 972,328,995,732,480,000 would take you about ninety-two billion, seven hundred fifty-one million, one hundred sixty-three thousand, three hundred fifty-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 972328995732480000 cubic inches would be around 82557.5 feet tall.
Recreational maths with 972328995732480000
- 972328995732480000 backwards is 000084237599823279
- The number of decimal digits it has is: 18
- The sum of 972328995732480000's digits is 78
- More coming soon!
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The information we have on file for 972328995732480000 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 972328995732480000, math, Factors of 972328995732480000, curriculum, school, college, exams, university, Prime factorization of 972328995732480000, STEM, science, technology, engineering, physics, economics, calculator, nine hundred seventy-two quadrillion, three hundred twenty-eight trillion, nine hundred ninety-five billion, seven hundred thirty-two million, four hundred eighty thousand.