972397742521920
972,397,742,521,920 is an even composite number composed of eight prime numbers multiplied together.
What does the number 972397742521920 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2688 divisors.
972397742521920 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, six hundred eighty-eight divisors.
Prime factorization of 972397742521920:
26 × 3 × 5 × 113 × 13 × 372 × 61 × 701
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 11 × 11 × 11 × 13 × 37 × 37 × 61 × 701)See below for interesting mathematical facts about the number 972397742521920 from the Numbermatics database.
Names of 972397742521920
- Cardinal: 972397742521920 can be written as Nine hundred seventy-two trillion, three hundred ninety-seven billion, seven hundred forty-two million, five hundred twenty-one thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 9.7239774252192 × 1014
Factors of 972397742521920
Divisors of 972397742521920
- Number of divisors d(n): 2688
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 26 30 32 33 37 39 40 44 48 52 55 60 61 64 65 66 74 78 80 88 96 104 110 111 120 121 122 130 132 143 148 156 160 165 176 183 185 192 195 208 220 222 240 242 244 260 264 286 296 305 312 320 330 352 363 366 370 390 407 416 429 440 444 480 481 484 488 520 528 555 572 592 605 610 624 660 671 701 704 715 726 732 740 780 793 814 832 858 880 888 915 960 962 968 976 1040 1056 1110 1144 1184 1210 1220 1221 1248 1320 1331 1342 1369 1402 1430 1443 1452 1464 1480 1560 1573 1586 1628 1716 1760 1776 1815 1830 1924 1936 1952 2013 2035 2080 2103 2112 2145 2220 2257 2288 2368 2379 2405 2420 2440 2442 2496 2640 2662 2684 2738 2804 2860 2886 2904 2928 2960 3120 3146 3172 3256 3355 3432 3505 3520 3552 3630 3660 3848 3872 3904 3965 3993 4026 4070 4107 4160 4206 4290 4440 4477 4514 4576 4719 4758 4810 4840 4880 4884 5280 5291 5324 5368 5476 5608 5720 5772 5808 5856 5920 6105 6240 6292 6344 6512 6655 6710 6771 6845 6864 7010 7104 7215 7260 7320 7381 7696 7711 7744 7865 7930 7986 8052 8140 8214 8412 8580 8723 8880 8954 9028 9113 9152 9438 9516 9620 9680 9760 9768 10065 10515 10560 10582 10648 10736 10952 11216 11285 11440 11544 11616 11712 11840 11895 12210 12480 12584 12688 13024 13310 13420 13431 13542 13690 13728 14020 14430 14520 14640 14762 15059 15392 15422 15730 15860 15873 15972 16104 16280 16428 16824 17160 17303 17446 17760 17797 17908 18056 18226 18876 19032 19240 19360 19520 19536 19965 20130 20535 21030 21164 21296 21472 21904 22143 22385 22432 22570 22880 23088 23133 23232 23595 23790 24420 24827 25168 25376 25937 26048 26169 26455 26620 26840 26862 27084 27339 27380 27456 28040 28860 29040 29280 29341 29524 30118 30784 30844 31460 31720 31746 31944 32208 32560 32856 33648 33855 34320 34606 34892 35520 35594 35816 36112 36452 36905 37752 38064 38480 38555 38720 39072 39930 40260 41070 42060 42328 42592 42761 42944 43615 43808 44286 44770 44864 45140 45177 45565 45760 46176 46266 47190 47580 48840 49247 49654 50336 50752 51874 51909 52338 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43348686810 43439702592 43914453440 44393614980 45286780110 45661051020 45945839280 46238599264 47353189312 48305898784 48705121088 49774659220 49815458121 50227156122 50540423208 51092777560 51515031920 53352229920 53854549320 54299628240 54638295360 54752125142 55737575520 56198216640 56666535112 57798249080 59191486640 59729591064 60382373480 60881401360 61261119040 61311333072 61818038304 63052635360 63175529010 64572530880 65871680160 66420610828 66969541496 67387230944 69357898896 70833168890 71029783968 71806065760 72399504320 72458848176 73057681632 74661988830 76639166340 77272547880 77916485779 79639454752 81748444096 82128187713 83025763535 83711926870 84234038680 84999802668 86167278912 86697373620 88787229960 90573560220 91322102040 91891678560 92083119557 92477198528 96611797568 99549318440 99630916242 100454312244 101080846416 102185555120 103030063840 106249753335 106704459840 107709098640 108599256480 109504250284 111475151040 113333070224 115596498160 118382973280 119459182128 120764746960 121762802720 122622666144 123636076608 125567890305 126105270720 126351058020 131743360320 132841221656 133939082992 134774461888 136880312855 138715797792 141666337780 142059567936 143612131520 144917696352 146115363264 149323977660 153278332680 154545095760 155832971558 159278909504 164256375426 166051527070 167423853740 168468077360 169999605336 173394747240 177574459920 181147120440 182644204080 183783357120 184166239114 199098636880 199261832484 200908624488 202161692832 204371110240 206060127680 212499506670 215418197280 217198512960 219008500568 226666140448 231192996320 233749457337 236765946560 238918364256 241529493920 243525605440 245245332288 249077290605 251135780610 252702116040 265682443312 267878165984 273760625710 276249358671 277431595584 283332675560 289835392704 298647955320 306556665360 309090191520 311665943116 328512750852 332103054140 334847707480 336936154720 339999210672 346789494480 355148919840 362294240880 365288408160 368332478228 389582428895 398197273760 398523664968 401817248976 404323385664 408742220480 410640938565 424999013340 430836394560 438017001136 453332280896 460415597785 462385992640 467498914674 477836728512 483058987840 498154581210 502271561220 505404232080 531364886624 535756331968 547521251420 552498717342 566665351120 597295910640 613113330720 618180383040 623331886232 657025501704 664206108280 669695414960 673872309440 679998421344 693578988960 710297839680 724588481760 730576816320 736664956456 779164857790 796394547520 797047329936 803634497952 821281877130 849998026680 876034002272 920831195570 934997829348 996309162420 1004543122440 1010808464160 1012914315127 1062729773248 1095042502840 1104997434684 1133330702240 1168747286685 1194591821280 1226226661440 1246663772464 1314051003408 1328412216560 1339390829920 1359996842688 1381246793355 1387157977920 1449176963520 1473329912912 1558329715580 1594094659872 1607268995904 1642563754260 1699996053360 1752068004544 1841662391140 1869995658696 1992618324840 2009086244880 2021616928320 2025828630254 2190085005680 2209994869368 2266661404480 2337494573370 2389183642560 2493327544928 2628102006816 2656824433120 2678781659840 2762493586710 2946659825824 3038742945381 3116659431160 3188189319744 3285127508520 3399992106720 3683324782280 3739991317392 3985236649680 4018172489760 4051657260508 4380170011360 4419989738736 4674989146740 4986655089856 5064571575635 5256204013632 5313648866240 5524987173420 5893319651648 6077485890762 6233318862320 6570255017040 6799984213440 7366649564560 7479982634784 7970473299360 8036344979520 8103314521016 8760340022720 8839979477472 9349978293480 10129143151270 11049974346840 12154971781524 12466637724640 13140510034080 14733299129120 14959965269568 15193714726905 15940946598720 16206629042032 17679958954944 18699956586960 20258286302540 22099948693680 24309943563048 24933275449280 26281020068160 29466598258240 30387429453810 32413258084064 37399913173920 40516572605080 44199897387360 48619887126096 60774858907620 64826516168128 74799826347840 81033145210160 88399794774720 97239774252192 121549717815240 162066290420320 194479548504384 243099435630480 324132580840640 486198871260960 972397742521920
- Sum of all divisors σ(n): 3825665320748544
- Sum of proper divisors (its aliquot sum) s(n): 2853267578226624
- 972397742521920 is an abundant number, because the sum of its proper divisors (2853267578226624) is greater than itself. Its abundance is 1880869835704704
Bases of 972397742521920
- Binary: 110111010001100011111111100000010111111110010000002
- Hexadecimal: 0x37463FE05FE40
- Base-36: 9KOPCTBY2O
Squares and roots of 972397742521920
- 972397742521920 squared (9723977425219202) is 945557369661726223281680486400
- 972397742521920 cubed (9723977425219203) is 919457851684027185715142085395996388261888000
-
The
square root of 972397742521920 is 31183292.6824913729 -
The
cube root of 972397742521920 is 99071.3271147339
Scales and comparisons
How big is 972397742521920?- 972,397,742,521,920 seconds is equal to 30,919,240 years, 20 weeks, 1 day, 9 hours, 52 minutes.
-
To count from 1 to 972,397,742,521,920 would take you about seventy-seven million, two hundred ninety-eight thousand, one hundred 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 972397742521920 cubic inches would be around 8255.9 feet tall.
Recreational maths with 972397742521920
- 972397742521920 backwards is 029125247793279
- The number of decimal digits it has is: 15
- The sum of 972397742521920's digits is 69
- More coming soon!
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"Number 972397742521920 - Facts about the integer". Numbermatics.com. 2024. Web. 17 June 2024.
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Numbermatics. (2024). Number 972397742521920 - Facts about the integer. Retrieved 17 June 2024, from https://numbermatics.com/n/972397742521920/
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The information we have on file for 972397742521920 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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