972997862361120000
972,997,862,361,120,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 972997862361120000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 540 divisors.
972997862361120000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of five hundred forty divisors.
Prime factorization of 972997862361120000:
28 × 32 × 54 × 19 × 35562787367
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 19 × 35562787367)See below for interesting mathematical facts about the number 972997862361120000 from the Numbermatics database.
Names of 972997862361120000
- Cardinal: 972997862361120000 can be written as Nine hundred seventy-two quadrillion, nine hundred ninety-seven trillion, eight hundred sixty-two billion, three hundred sixty-one million, one hundred twenty thousand.
Scientific notation
- Scientific notation: 9.7299786236112 × 1017
Factors of 972997862361120000
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 16
- Sum of prime factors: 35562787396
Divisors of 972997862361120000
- Number of divisors d(n): 540
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 25 30 32 36 38 40 45 48 50 57 60 64 72 75 76 80 90 95 96 100 114 120 125 128 144 150 152 160 171 180 190 192 200 225 228 240 250 256 285 288 300 304 320 342 360 375 380 384 400 450 456 475 480 500 570 576 600 608 625 640 684 720 750 760 768 800 855 900 912 950 960 1000 1125 1140 1152 1200 1216 1250 1280 1368 1425 1440 1500 1520 1600 1710 1800 1824 1875 1900 1920 2000 2250 2280 2304 2375 2400 2432 2500 2736 2850 2880 3000 3040 3200 3420 3600 3648 3750 3800 3840 4000 4275 4500 4560 4750 4800 4864 5000 5472 5625 5700 5760 6000 6080 6400 6840 7125 7200 7296 7500 7600 8000 8550 9000 9120 9500 9600 10000 10944 11250 11400 11520 11875 12000 12160 13680 14250 14400 14592 15000 15200 16000 17100 18000 18240 19000 19200 20000 21375 21888 22500 22800 23750 24000 24320 27360 28500 28800 30000 30400 32000 34200 35625 36000 36480 38000 40000 42750 43776 45000 45600 47500 48000 54720 57000 57600 60000 60800 68400 71250 72000 72960 76000 80000 85500 90000 91200 95000 96000 106875 109440 114000 120000 121600 136800 142500 144000 152000 160000 171000 180000 182400 190000 213750 218880 228000 240000 273600 285000 288000 304000 342000 360000 364800 380000 427500 456000 480000 547200 570000 608000 684000 720000 760000 855000 912000 1094400 1140000 1368000 1440000 1520000 1710000 1824000 2280000 2736000 3040000 3420000 4560000 5472000 6840000 9120000 13680000 27360000 35562787367 71125574734 106688362101 142251149468 177813936835 213376724202 284502298936 320065086303 355627873670 426753448404 533441810505 569004597872 640130172606 675692959973 711255747340 853506896808 889069684175 1066883621010 1138009195744 1280260345212 1351385919946 1422511494680 1600325431515 1707013793616 1778139368350 2027078879919 2133767242020 2276018391488 2560520690424 2667209052525 2702771839892 2845022989360 3200650863030 3378464799865 3414027587232 3556278736700 4054157759838 4267534484040 4445348420875 4552036782976 5121041380848 5334418105050 5405543679784 5690045978720 6081236639757 6401301726060 6756929599730 6828055174464 7112557473400 8001627157575 8108315519676 8535068968080 8890696841750 9104073565952 10135394399595 10242082761696 10668836210100 10811087359568 11380091957440 12162473279514 12802603452120 13336045262625 13513859199460 13656110348928 14225114946800 16003254315150 16216631039352 16892323999325 17070137936160 17781393683500 20270788799190 20484165523392 21337672420200 21622174719136 22226742104375 22760183914880 24324946559028 25605206904240 26672090525250 27027718398920 27312220697856 28450229893600 30406183198785 32006508630300 32433262078704 33784647998650 34140275872320 35562787367000 40008135787875 40541577598380 40968331046784 42675344840400 43244349438272 44453484208750 45520367829760 48649893118056 50676971997975 51210413808480 53344181050500 54055436797840 56900459787200 60812366397570 64013017260600 64866524157408 66680226313125 67569295997300 68280551744640 71125574734000 80016271575750 81083155196760 81936662093568 84461619996625 85350689680800 86488698876544 88906968417500 97299786236112 101353943995950 102420827616960 106688362101000 108110873595680 113800919574400 121624732795140 128026034521200 129733048314816 133360452626250 135138591994600 136561103489280 142251149468000 152030915993925 160032543151500 162166310393520 168923239993250 170701379361600 172977397753088 177813936835000 194599572472224 200040678939375 202707887991900 204841655233920 213376724202000 216221747191360 227601839148800 243249465590280 253384859989875 256052069042400 259466096629632 266720905252500 270277183989200 284502298936000 304061831987850 320065086303000 324332620787040 337846479986500 341402758723200 355627873670000 389199144944448 400081357878750 405415775983800 409683310467840 422308099983125 426753448404000 432443494382720 486498931180560 506769719979750 512104138084800 518932193259264 533441810505000 540554367978400 569004597872000 608123663975700 640130172606000 648665241574080 675692959973000 682805517446400 711255747340000 760154579969625 778398289888896 800162715757500 810831551967600 844616199966250 853506896808000 864886988765440 972997862361120 1013539439959500 1024208276169600 1066883621010000 1081108735956800 1138009195744000 1216247327951400 1266924299949375 1280260345212000 1297330483148160 1351385919946000 1422511494680000 1520309159939250 1556796579777792 1600325431515000 1621663103935200 1689232399932500 1707013793616000 1945995724722240 2027078879919000 2048416552339200 2133767242020000 2162217471913600 2432494655902800 2533848599898750 2560520690424000 2594660966296320 2702771839892000 2845022989360000 3040618319878500 3200650863030000 3243326207870400 3378464799865000 3414027587232000 3800772899848125 3891991449444480 4054157759838000 4267534484040000 4324434943827200 4864989311805600 5067697199797500 5121041380848000 5405543679784000 5690045978720000 6081236639757000 6401301726060000 6486652415740800 6756929599730000 7601545799696250 7783982898888960 8108315519676000 8535068968080000 9729978623611200 10135394399595000 10242082761696000 10811087359568000 12162473279514000 12802603452120000 12973304831481600 13513859199460000 15203091599392500 16216631039352000 17070137936160000 19459957247222400 20270788799190000 21622174719136000 24324946559028000 25605206904240000 27027718398920000 30406183198785000 32433262078704000 38919914494444800 40541577598380000 48649893118056000 51210413808480000 54055436797840000 60812366397570000 64866524157408000 81083155196760000 97299786236112000 108110873595680000 121624732795140000 162166310393520000 194599572472224000 243249465590280000 324332620787040000 486498931180560000 972997862361120000
- Sum of all divisors σ(n): 3690124977105446880
- Sum of proper divisors (its aliquot sum) s(n): 2717127114744326880
- 972997862361120000 is an abundant number, because the sum of its proper divisors (2717127114744326880) is greater than itself. Its abundance is 1744129252383206880
Bases of 972997862361120000
- Binary: 1101100000001100100001100110100100010011111110111101000000002
- Hexadecimal: 0xD80C866913FBD00
- Base-36: 7E4IYF7PGZK0
Squares and roots of 972997862361120000
- 972997862361120000 squared (9729978623611200002) is 946724840159309019981287654400000000
- 972997862361120000 cubed (9729978623611200003) is 921161245719180690117437841033837490556928000000000000
-
The
square root of 972997862361120000 is 986406540.1045960219 -
The
cube root of 972997862361120000 is 990917.0370193361
Scales and comparisons
How big is 972997862361120000?- 972,997,862,361,120,000 seconds is equal to 30,938,322,343 years, 4 weeks, 3 days, 8 hours.
-
To count from 1 to 972,997,862,361,120,000 would take you about ninety-two billion, eight hundred fourteen million, nine hundred sixty-seven thousand and twenty-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 972997862361120000 cubic inches would be around 82576.4 feet tall.
Recreational maths with 972997862361120000
- 972997862361120000 backwards is 000021163268799279
- 972997862361120000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 972997862361120000's digits is 72
- More coming soon!
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The information we have on file for 972997862361120000 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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