972228801024
972,228,801,024 is an even composite number composed of six prime numbers multiplied together.
What does the number 972228801024 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 960 divisors.
972228801024 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 972228801024:
29 × 35 × 13 × 17 × 19 × 1861
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 13 × 17 × 19 × 1861)See below for interesting mathematical facts about the number 972228801024 from the Numbermatics database.
Names of 972228801024
- Cardinal: 972228801024 can be written as Nine hundred seventy-two billion, two hundred twenty-eight million, eight hundred one thousand and twenty-four.
Scientific notation
- Scientific notation: 9.72228801024 × 1011
Factors of 972228801024
Divisors of 972228801024
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 17 18 19 24 26 27 32 34 36 38 39 48 51 52 54 57 64 68 72 76 78 81 96 102 104 108 114 117 128 136 144 152 153 156 162 171 192 204 208 216 221 228 234 243 247 256 272 288 304 306 312 323 324 342 351 384 408 416 432 442 456 459 468 486 494 512 513 544 576 608 612 624 646 648 663 684 702 741 768 816 832 864 884 912 918 936 969 972 988 1026 1053 1088 1152 1216 1224 1248 1292 1296 1326 1368 1377 1404 1482 1536 1539 1632 1664 1728 1768 1824 1836 1861 1872 1938 1944 1976 1989 2052 2106 2176 2223 2304 2432 2448 2496 2584 2592 2652 2736 2754 2808 2907 2964 3078 3159 3264 3328 3456 3536 3648 3672 3722 3744 3876 3888 3952 3978 4104 4131 4199 4212 4352 4446 4608 4617 4864 4896 4992 5168 5184 5304 5472 5508 5583 5616 5814 5928 5967 6156 6318 6528 6656 6669 6912 7072 7296 7344 7444 7488 7752 7776 7904 7956 8208 8262 8398 8424 8704 8721 8892 9234 9728 9792 9984 10336 10368 10608 10944 11016 11166 11232 11628 11856 11934 12312 12597 12636 13056 13338 13824 14144 14592 14688 14888 14976 15504 15552 15808 15912 16416 16524 16749 16796 16848 17442 17784 17901 18468 19584 19968 20007 20672 20736 21216 21888 22032 22332 22464 23256 23712 23868 24193 24624 25194 25272 26112 26163 26676 28288 29184 29376 29776 29952 31008 31104 31616 31637 31824 32832 33048 33498 33592 33696 34884 35359 35568 35802 36936 37791 39168 40014 41344 41472 42432 43776 44064 44664 44928 46512 47424 47736 48386 49248 50247 50388 50544 52326 53352 53703 56576 58752 59552 59904 60021 62016 62208 63232 63274 63648 65664 66096 66996 67184 67392 69768 70718 71136 71604 72579 73872 75582 78336 78489 80028 82688 84864 87552 88128 89328 89856 93024 94848 94911 95472 96772 98496 100494 100776 101088 104652 106077 106704 107406 113152 113373 117504 119104 120042 124032 124416 126464 126548 127296 131328 132192 133992 134368 134784 139536 141436 142272 143208 145158 147744 150741 151164 156978 160056 165376 169728 176256 178656 179712 186048 189696 189822 190944 193544 196992 200988 201552 202176 209304 212154 213408 214812 217737 226746 235008 238208 240084 248064 253096 254592 262656 264384 267984 268736 269568 279072 282872 284544 284733 286416 290316 295488 301482 302328 313956 318231 320112 339456 340119 352512 357312 372096 379392 379644 381888 387088 393984 401976 403104 404352 411281 418608 424308 426816 429624 435474 452223 453492 459667 476416 480168 496128 506192 509184 528768 535968 537472 539136 558144 565744 569088 569466 572832 580632 590976 601103 602964 604656 627912 636462 640224 653211 680238 705024 714624 744192 759288 763776 774176 787968 803952 806208 808704 822562 837216 848616 853632 854199 859248 870948 904446 906984 919334 952832 954693 960336 1012384 1018368 1020357 1057536 1071936 1074944 1116288 1131488 1138176 1138932 1145664 1161264 1181952 1202206 1205928 1209312 1233843 1255824 1272924 1280448 1306422 1360476 1379001 1429248 1488384 1518576 1527552 1548352 1607904 1612416 1617408 1645124 1674432 1697232 1707264 1708398 1718496 1741896 1803309 1808892 1813968 1838668 1909386 1920672 1959633 2024768 2040714 2115072 2143872 2149888 2232576 2262976 2277864 2291328 2322528 2363904 2404412 2411856 2418624 2467686 2511648 2545848 2560896 2562597 2612844 2720952 2758002 2858496 2864079 3037152 3055104 3096704 3215808 3224832 3290248 3348864 3394464 3414528 3416796 3436992 3483792 3606618 3617784 3627936 3677336 3701529 3818772 3841344 3919266 4049536 4081428 4137003 4287744 4465152 4525952 4555728 4582656 4645056 4808824 4823712 4837248 4935372 5023296 5091696 5121792 5125194 5225688 5409927 5441904 5516004 5728158 5878899 6074304 6193408 6431616 6449664 6580496 6697728 6788928 6833592 6873984 6967584 7213236 7235568 7255872 7354672 7403058 7637544 7682688 7687791 7814339 7838532 8099072 8162856 8274006 8575488 8592237 9051904 9111456 9165312 9290112 9617648 9647424 9674496 9870744 10046592 10183392 10243584 10250388 10451376 10819854 10883808 11032008 11104587 11456316 11757798 12148608 12386816 12411009 12863232 13160992 13395456 13577856 13667184 13747968 13935168 14426472 14471136 14511744 14709344 14806116 15275088 15365376 15375582 15628678 15677064 16198144 16229781 16325712 16548012 17184474 18103808 18222912 18580224 19235296 19294848 19348992 19741488 20093184 20366784 20500776 20902752 21639708 21767616 22064016 22209174 22912632 23443017 23515596 24297216 24822018 25726464 26321984 27155712 27334368 27495936 27870336 28852944 28942272 29023488 29418688 29612232 30550176 30730752 30751164 31257356 31354128 32459562 32651424 33096024 33313761 34368948 36445824 37160448 37233027 38470592 38589696 39482976 40186368 40733568 41001552 41805504 43279416 43535232 44128032 44418348 45825264 46886034 47031192 48594432 48689343 49644036 52643968 54311424 54668736 55740672 57705888 57884544 58046976 58837376 59224464 61100352 61502328 62514712 62708256 64919124 65302848 66192048 66627522 68737896 70329051 72891648 74466054 76941184 77179392 78965952 81467136 82003104 83611008 86558832 87070464 88256064 88836696 91650528 93772068 94062384 97378686 99288072 99941283 105287936 109337472 111481344 111699081 115411776 115769088 117674752 118448928 122200704 123004656 125029424 125416512 129838248 130605696 132384096 133255044 137475792 140658102 145783296 146068029 148932108 153882368 157931904 162934272 164006208 167222016 173117664 174140928 176512128 177673392 183301056 187544136 188124768 194757372 198576144 199882566 210575872 210987153 218674944 223398162 230823552 231538176 235349504 236897856 244401408 246009312 250058848 250833024 259676496 261211392 264768192 266510088 274951584 281316204 292136058 297864216 307764736 315863808 328012416 334444032 346235328 353024256 355346784 366602112 375088272 376249536 389514744 397152288 399765132 421974306 437349888 446796324 461647104 473795712 488802816 492018624 500117696 501666048 519352992 522422784 529536384 533020176 549903168 562632408 584272116 595728432 631727616 632961459 656024832 692470656 706048512 710693568 733204224 750176544 752499072 779029488 794304576 799530264 843948612 893592648 923294208 947591424 984037248 1000235392 1003332096 1038705984 1059072768 1066040352 1099806336 1125264816 1168544232 1191456864 1265922918 1312049664 1384941312 1421387136 1466408448 1500353088 1504998144 1558058976 1588609152 1599060528 1687897224 1787185296 1895182848 1898884377 1968074496 2000470784 2077411968 2118145536 2132080704 2199612672 2250529632 2337088464 2382913728 2531845836 2769882624 2842774272 3000706176 3009996288 3116117952 3177218304 3198121056 3375794448 3574370592 3797768754 3936148992 4000941568 4154823936 4264161408 4399225344 4501059264 4674176928 4765827456 5063691672 5685548544 6001412352 6232235904 6354436608 6396242112 6751588896 7148741184 7595537508 8309647872 8528322816 9002118528 9348353856 9531654912 10127383344 12002824704 12464471808 12792484224 13503177792 14297482368 15191075016 17056645632 18004237056 18696707712 19063309824 20254766688 24928943616 25584968448 27006355584 28594964736 30382150032 36008474112 37393415424 40509533376 51169936896 54012711168 57189929472 60764300064 74786830848 81019066752 108025422336 121528600128 162038133504 243057200256 324076267008 486114400512 972228801024
- Sum of all divisors σ(n): 3494517586560
- Sum of proper divisors (its aliquot sum) s(n): 2522288785536
- 972228801024 is an abundant number, because the sum of its proper divisors (2522288785536) is greater than itself. Its abundance is 1550059984512
Bases of 972228801024
- Binary: 11100010010111010101101000110010000000002
- Hexadecimal: 0xE25D5A3200
- Base-36: CEMVXC00
Squares and roots of 972228801024
- 972228801024 squared (9722288010242) is 945228841540564583448576
- 972228801024 cubed (9722288010243) is 918978703304287590026247039640141824
-
The
square root of 972228801024 is 986016.6332390139 -
The
cube root of 972228801024 is 9906.5589329649
Scales and comparisons
How big is 972228801024?- 972,228,801,024 seconds is equal to 30,913 years, 45 weeks, 1 day, 3 hours, 50 minutes, 24 seconds.
-
To count from 1 to 972,228,801,024 would take you about sixty-one thousand, eight hundred twenty-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 972228801024 cubic inches would be around 825.5 feet tall.
Recreational maths with 972228801024
- 972228801024 backwards is 420108822279
- The number of decimal digits it has is: 12
- The sum of 972228801024's digits is 45
- More coming soon!
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The information we have on file for 972228801024 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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