972232822149120
972,232,822,149,120 is an even composite number composed of six prime numbers multiplied together.
What does the number 972232822149120 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 3120 divisors.
972232822149120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, one hundred twenty divisors.
Prime factorization of 972232822149120:
212 × 39 × 5 × 7 × 29 × 1092
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 7 × 29 × 109 × 109)See below for interesting mathematical facts about the number 972232822149120 from the Numbermatics database.
Names of 972232822149120
- Cardinal: 972232822149120 can be written as Nine hundred seventy-two trillion, two hundred thirty-two billion, eight hundred twenty-two million, one hundred forty-nine thousand, one hundred twenty.
Scientific notation
- Scientific notation: 9.7223282214912 × 1014
Factors of 972232822149120
Divisors of 972232822149120
- Number of divisors d(n): 3120
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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 27 28 29 30 32 35 36 40 42 45 48 54 56 58 60 63 64 70 72 80 81 84 87 90 96 105 108 109 112 116 120 126 128 135 140 144 145 160 162 168 174 180 189 192 203 210 216 218 224 232 240 243 252 256 261 270 280 288 290 315 320 324 327 336 348 360 378 384 405 406 420 432 435 436 448 464 480 486 504 512 522 540 545 560 567 576 580 609 630 640 648 654 672 696 720 729 756 763 768 783 810 812 840 864 870 872 896 928 945 960 972 981 1008 1015 1024 1044 1080 1090 1120 1134 1152 1160 1215 1218 1260 1280 1296 1305 1308 1344 1392 1440 1458 1512 1526 1536 1566 1620 1624 1635 1680 1701 1728 1740 1744 1792 1827 1856 1890 1920 1944 1962 2016 2030 2048 2088 2160 2180 2187 2240 2268 2289 2304 2320 2349 2430 2436 2520 2560 2592 2610 2616 2688 2784 2835 2880 2916 2943 3024 3045 3052 3072 3132 3161 3240 3248 3270 3360 3402 3456 3480 3488 3584 3645 3654 3712 3780 3815 3840 3888 3915 3924 4032 4060 4096 4176 4320 4360 4374 4480 4536 4578 4608 4640 4698 4860 4872 4905 5040 5103 5120 5184 5220 5232 5376 5481 5568 5670 5760 5832 5886 6048 6090 6104 6144 6264 6322 6480 6496 6540 6561 6720 6804 6867 6912 6960 6976 7047 7168 7290 7308 7424 7560 7630 7680 7776 7830 7848 8064 8120 8352 8505 8640 8720 8748 8829 8960 9072 9135 9156 9216 9280 9396 9483 9720 9744 9810 10080 10206 10240 10368 10440 10464 10752 10935 10962 11136 11340 11445 11520 11664 11745 11772 11881 12096 12180 12208 12288 12528 12644 12960 12992 13080 13122 13440 13608 13734 13824 13920 13952 14094 14336 14580 14616 14715 14848 15120 15260 15309 15360 15552 15660 15696 15805 16128 16240 16443 16704 17010 17280 17440 17496 17658 17920 18144 18270 18312 18432 18560 18792 18966 19440 19488 19620 19683 20160 20412 20480 20601 20736 20880 20928 21141 21504 21870 21924 22127 22272 22680 22890 23040 23328 23490 23544 23762 24192 24360 24416 25056 25288 25515 25920 25984 26160 26244 26487 26880 27216 27405 27468 27648 27840 27904 28188 28449 28672 29160 29232 29430 29696 30240 30520 30618 30720 31104 31320 31392 31610 32256 32480 32805 32886 33408 34020 34335 34560 34880 34992 35235 35316 35643 35840 36288 36540 36624 36864 37120 37584 37932 38880 38976 39240 39366 40320 40824 41202 41472 41760 41856 42282 43008 43740 43848 44145 44254 44544 45360 45780 45927 46080 46656 46980 47088 47415 47524 48384 48720 48832 49329 50112 50576 51030 51840 51968 52320 52488 52974 53760 54432 54810 54936 55296 55680 55808 56376 56898 58320 58464 58860 59392 59405 60480 61040 61236 61440 61803 62208 62640 62784 63220 63423 64512 64960 65610 65772 66381 66816 68040 68670 69120 69760 69984 70470 70632 71286 71680 72576 73080 73248 74240 75168 75864 76545 77760 77952 78480 78732 79461 80640 81648 82215 82404 82944 83167 83520 83712 84564 85347 86016 87480 87696 88290 88508 89088 90720 91560 91854 92160 93312 93960 94176 94830 95048 96768 97440 97664 98415 98658 100224 101152 102060 103005 103680 103936 104640 104976 105705 105948 106929 107520 108864 109620 109872 110592 110635 111360 111616 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3352526972928 3375808410240 3472260079104 3600862304256 3725029969920 3797784461520 3858066754560 4000958115840 4050970092288 4190658716160 4340325098880 4459783587840 4501077880320 4629680105472 4789324247040 5063712615360 5144089006080 5401293456384 5587544954880 5787100131840 6001437173760 6076455138432 6705053945856 6751616820480 6944520158208 7201724608512 7595568923040 7716133509120 8101940184576 8381317432320 8680650197760 8919567175680 9002155760640 9259360210944 10127425230720 10802586912768 11175089909760 11574200263680 12002874347520 12152910276864 13503233640960 13889040316416 15191137846080 15432267018240 16203880369152 16762634864640 17361300395520 18004311521280 20254850461440 21605173825536 23148400527360 24305820553728 27006467281920 27778080632832 30382275692160 32407760738304 33525269729280 34722600791040 36008623042560 40509700922880 46296801054720 48611641107456 54012934563840 60764551384320 64815521476608 69445201582080 81019401845760 97223282214912 108025869127680 121529102768640 138890403164160 162038803691520 194446564429824 243058205537280 324077607383040 486116411074560 972232822149120
- Sum of all divisors σ(n): 4175707000671360
- Sum of proper divisors (its aliquot sum) s(n): 3203474178522240
- 972232822149120 is an abundant number, because the sum of its proper divisors (3203474178522240) is greater than itself. Its abundance is 2231241356373120
Bases of 972232822149120
- Binary: 110111010000111101100110000000000011010000000000002
- Hexadecimal: 0x3743D9800D000
- Base-36: 9KMLLC0000
Squares and roots of 972232822149120
- 972232822149120 squared (9722328221491202) is 945236660464042400855516774400
- 972232822149120 cubed (9722328221491203) is 918990106001765463719812290658824018198528000
-
The
square root of 972232822149120 is 31180648.1996304881 -
The
cube root of 972232822149120 is 99065.7259074381
Scales and comparisons
How big is 972232822149120?- 972,232,822,149,120 seconds is equal to 30,913,996 years, 22 weeks, 2 days, 19 hours, 12 minutes.
-
To count from 1 to 972,232,822,149,120 would take you about seventy-seven million, two hundred eighty-four thousand, nine hundred ninety-one 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 972232822149120 cubic inches would be around 8255.5 feet tall.
Recreational maths with 972232822149120
- 972232822149120 backwards is 021941228232279
- 972232822149120 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 972232822149120's digits is 54
- More coming soon!
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"Number 972232822149120 - Facts about the integer". Numbermatics.com. 2024. Web. 29 May 2024.
APA style:
Numbermatics. (2024). Number 972232822149120 - Facts about the integer. Retrieved 29 May 2024, from https://numbermatics.com/n/972232822149120/
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Numbermatics. 2024. "Number 972232822149120 - Facts about the integer". https://numbermatics.com/n/972232822149120/
The information we have on file for 972232822149120 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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