46972238806189207968
46,972,238,806,189,207,968 is an even composite number composed of six prime numbers multiplied together.
46972238806189207968 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 46972238806189207968:
25 × 3 × 412 × 433 × 613 × 1272
(2 × 2 × 2 × 2 × 2 × 3 × 41 × 41 × 43 × 43 × 43 × 61 × 61 × 61 × 127 × 127)See below for interesting mathematical facts about the number 46972238806189207968 from the Numbermatics database.
Names of 46972238806189207968
- Cardinal: 46972238806189207968 can be written as Forty-six quintillion, nine hundred seventy-two quadrillion, two hundred thirty-eight trillion, eight hundred six billion, one hundred eighty-nine million, two hundred seven thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 4.6972238806189207968 × 1019
Factors of 46972238806189207968
Divisors of 46972238806189207968
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 8 12 16 24 32 41 43 48 61 82 86 96 122 123 127 129 164 172 183 244 246 254 258 328 344 366 381 488 492 508 516 656 688 732 762 976 984 1016 1032 1312 1376 1464 1524 1681 1763 1849 1952 1968 2032 2064 2501 2623 2928 3048 3362 3526 3698 3721 3936 4064 4128 5002 5043 5207 5246 5289 5461 5547 5856 6096 6724 7052 7396 7442 7503 7747 7869 10004 10086 10414 10492 10578 10922 11094 11163 12192 13448 14104 14792 14884 15006 15494 15621 15738 16129 16383 20008 20172 20828 20984 21156 21844 22188 22326 23241 26896 28208 29584 29768 30012 30988 31242 31476 32258 32766 40016 40344 41656 41968 42312 43688 44376 44652 46482 48387 53792 56416 59168 59536 60024 61976 62484 62952 64516 65532 72283 75809 79507 80032 80688 83312 83936 84624 87376 88752 89304 92964 96774 102541 107543 112789 119072 120048 123952 124968 125904 129032 131064 144566 151618 152561 159014 160003 161376 166624 169248 174752 177504 178608 185928 193548 205082 213487 215086 216849 223901 225578 226981 227427 234823 238521 240096 247904 249936 251808 258064 262128 289132 303236 305122 307623 317627 318028 320006 322629 333121 338367 357216 371856 387096 410164 426974 430172 433698 447802 451156 453962 454854 457683 469646 472567 477042 480009 499872 516128 524256 578264 606472 610244 615246 635254 636056 640012 640461 645258 661289 666242 671703 676734 680943 693547 704469 743712 774192 820328 853948 860344 867396 895604 902312 907924 909708 915366 939292 945134 952881 954084 960018 983869 999363 1156528 1212944 1220488 1230492 1270508 1272112 1280024 1280922 1290516 1322578 1332484 1343406 1353468 1361886 1387094 1408938 1417701 1548384 1640656 1707896 1720688 1734792 1791208 1804624 1815848 1819416 1830732 1878584 1890268 1905762 1908168 1920036 1967738 1983867 1998726 2080641 2313056 2425888 2440976 2460984 2541016 2544224 2560048 2561844 2581032 2645156 2664968 2686812 2706936 2723772 2774188 2817876 2835402 2951607 3108169 3259787 3281312 3415792 3441376 3469584 3582416 3609248 3631696 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4207850829184736 4234021886261872 4300699396281744 4440559539250256 4476957568260504 4510489610734512 4657172199701488 4695345742321992 5969276757680672 6063281116069344 6260460989762656 6311776243777104 6351032829392808 6660839308875384 6985758299552232 7705419751671458 8021215643133403 8468043772523744 8601398792563488 8881119078500512 8953915136521008 9020979221469024 9314344399402976 9390691484643984 11378933819328781 11558129627507187 11934003761735063 12623552487554208 12702065658785616 13321678617750768 13971516599104464 15410839503342916 16042431286266806 17907830273042016 18781382969287968 22757867638657562 23116259255014374 23868007523470126 24063646929400209 25404131317571232 26643357235501536 27943033198208928 30821679006685832 32084862572533612 34136801457986343 35802011285205189 45515735277315124 46232518510028748 47736015046940252 48127293858800418 61643358013371664 64169725145067224 68273602915972686 71604022570410378 91031470554630248 92465037020057496 95472030093880504 96254587717600836 123286716026743328 128339450290134448 136547205831945372 143208045140820756 182062941109260496 184930074040114992 190944060187761008 192509175435201672 256678900580268896 273094411663890744 286416090281641512 364125882218520992 369860148080229984 381888120375522016 385018350870403344 489294154231137583 546188823327781488 572832180563283024 770036701740806688 978588308462275166 1092377646655562976 1145664361126566048 1467882462693412749 1957176616924550332 2935764925386825498 3914353233849100664 5871529850773650996 7828706467698201328 11743059701547301992 15657412935396402656 23486119403094603984 46972238806189207968
- Sum of all divisors σ(n): 132592416937788931200
- Sum of proper divisors (its aliquot sum) s(n): 85620178131599723232
- 46972238806189207968 is an abundant number, because the sum of its proper divisors (85620178131599723232) is greater than itself. Its abundance is 38647939325410515264
Bases of 46972238806189207968
- Binary: 1010001011110111101110101001010011000110111011100111110001101000002
- Hexadecimal: 0x28BDEEA531BB9F1A0
- Base-36: 9WVFGZLIQTHUO
Squares and roots of 46972238806189207968
- 46972238806189207968 squared (469722388061892079682) is 2206391218465667349349823812071154689024
- 46972238806189207968 cubed (469722388061892079683) is 103639135213648110444875885931565969801641992115467902943232
-
The
square root of 46972238806189207968 is 6853629608.1849366285 -
The
cube root of 46972238806189207968 is 3608115.4060110865
Scales and comparisons
How big is 46972238806189207968?- 46,972,238,806,189,207,968 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
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To count from 1 to 46,972,238,806,189,207,968 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 46972238806189207968 cubic inches would be around 300676.3 feet tall.
Recreational maths with 46972238806189207968
- 46972238806189207968 backwards is 86970298160883227964
- The number of decimal digits it has is: 20
- The sum of 46972238806189207968's digits is 105
- More coming soon!
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The information we have on file for 46972238806189207968 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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