42688385148542976
42,688,385,148,542,976 is an even composite number composed of four prime numbers multiplied together.
What does the number 42688385148542976 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 1260 divisors.
42688385148542976 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one thousand, two hundred sixty divisors.
Prime factorization of 42688385148542976:
213 × 39 × 532 × 3072
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 53 × 53 × 307 × 307)See below for interesting mathematical facts about the number 42688385148542976 from the Numbermatics database.
Names of 42688385148542976
- Cardinal: 42688385148542976 can be written as Forty-two quadrillion, six hundred eighty-eight trillion, three hundred eighty-five billion, one hundred forty-eight million, five hundred forty-two thousand, nine hundred seventy-six.
Scientific notation
- Scientific notation: 4.2688385148542976 × 1016
Factors of 42688385148542976
Divisors of 42688385148542976
- Number of divisors d(n): 1260
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 53 54 64 72 81 96 106 108 128 144 159 162 192 212 216 243 256 288 307 318 324 384 424 432 477 486 512 576 614 636 648 729 768 848 864 921 954 972 1024 1152 1228 1272 1296 1431 1458 1536 1696 1728 1842 1908 1944 2048 2187 2304 2456 2544 2592 2763 2809 2862 2916 3072 3392 3456 3684 3816 3888 4096 4293 4374 4608 4912 5088 5184 5526 5618 5724 5832 6144 6561 6784 6912 7368 7632 7776 8192 8289 8427 8586 8748 9216 9824 10176 10368 11052 11236 11448 11664 12288 12879 13122 13568 13824 14736 15264 15552 16271 16578 16854 17172 17496 18432 19648 19683 20352 20736 22104 22472 22896 23328 24576 24867 25281 25758 26244 27136 27648 29472 30528 31104 32542 33156 33708 34344 34992 36864 38637 39296 39366 40704 41472 44208 44944 45792 46656 48813 49734 50562 51516 52488 54272 55296 58944 61056 62208 65084 66312 67416 68688 69984 73728 74601 75843 77274 78592 78732 81408 82944 88416 89888 91584 93312 94249 97626 99468 101124 103032 104976 108544 110592 115911 117888 122112 124416 130168 132624 134832 137376 139968 146439 149202 151686 154548 157184 157464 162816 165888 176832 179776 183168 186624 188498 195252 198936 202248 206064 209952 217088 221184 223803 227529 231822 235776 244224 248832 260336 265248 269664 274752 279936 282747 292878 298404 303372 309096 314368 314928 325632 331776 347733 353664 359552 366336 373248 376996 390504 397872 404496 412128 419904 434176 439317 447606 455058 463644 471552 488448 497664 520672 530496 539328 549504 559872 565494 585756 596808 606744 618192 628736 629856 651264 663552 671409 682587 695466 707328 719104 732672 746496 753992 781008 795744 808992 824256 839808 848241 862363 878634 895212 910116 927288 943104 976896 995328 1041344 1043199 1060992 1078656 1099008 1119744 1130988 1171512 1193616 1213488 1236384 1257472 1259712 1302528 1317951 1342818 1365174 1390932 1414656 1438208 1465344 1492992 1507984 1562016 1591488 1617984 1648512 1679616 1696482 1724726 1757268 1790424 1820232 1854576 1886208 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29681649072 30175806096 30690490368 31269556224 31790149632 32389963776 32773487517 33887416448 33947781858 34526801664 35178250752 35763918336 36438709248 37744330752 38123343504 38842651872 39575532096 40234408128 40920653824 40993547904 42888761442 43697983356 45263709144 46035735552 46904334336 47685224448 48584945664 49501642752 50325774336 50831124672 51790202496 52767376128 53645877504 54658063872 56616496128 57185015256 58263977808 59363298144 60351612192 61380980736 62539112448 63580299264 64333142163 65546975034 67774832896 67895563716 69053603328 70356501504 71527836672 72877418496 75488661504 76246687008 77685303744 79151064192 80468816256 81987095808 85777522884 87395966712 90527418288 92071471104 93808668672 95370448896 97169891328 98320462551 101662249344 103580404992 105534752256 107291755008 109316127744 113232992256 114370030512 116527955616 118726596288 120703224384 122761961472 128666284326 131093950068 135549665792 135791127432 138107206656 140713003008 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874529021952 914960244096 932223644928 949812770304 965625795072 1029330274608 1048751600544 1084397326336 1086329019456 1104857653248 1157996558934 1219946992128 1242964859904 1266417027072 1287501060096 1311793532928 1372440366144 1398335467392 1448438692608 1543995411912 1573127400816 1626595989504 1657286479872 1688556036096 1716668080128 1736994838401 1829920488192 1864447289856 1899625540608 1931251590144 2058660549216 2097503201088 2168794652672 2172658038912 2315993117868 2439893984256 2485929719808 2532834054144 2575002120192 2623587065856 2744880732288 2796670934784 2896877385216 3087990823824 3146254801632 3253191979008 3314572959744 3473989676802 3659840976384 3728894579712 3799251081216 3862503180288 4117321098432 4195006402176 4345316077824 4631986235736 4879787968512 4971859439616 5065668108288 5150004240384 5210984515203 5489761464576 5593341869568 5793754770432 6175981647648 6292509603264 6506383958016 6947979353604 7319681952768 7457789159424 7598502162432 7725006360576 8234642196864 8390012804352 8690632155648 9263972471472 9759575937024 9943718879232 10421969030406 10979522929152 11186683739136 11587509540864 12351963295296 12585019206528 13895958707208 14639363905536 14915578318848 15197004324864 15450012721152 16469284393728 16780025608704 17381264311296 18527944942944 19519151874048 20843938060812 21959045858304 22373367478272 23175019081728 24703926590592 25170038413056 27791917414416 29278727811072 29831156637696 32938568787456 33560051217408 34762528622592 37055889885888 41687876121624 43918091716608 44746734956544 46350038163456 49407853181184 50340076826112 55583834828832 58557455622144 65877137574912 67120102434816 69525057245184 74111779771776 83375752243248 87836183433216 89493469913088 98815706362368 100680153652224 111167669657664 131754275149824 134240204869632 139050114490368 148223559543552 166751504486496 175672366866432 197631412724736 201360307304448 222335339315328 263508550299648 268480409739264 296447119087104 333503008972992 395262825449472 402720614608896 444670678630656 527017100599296 592894238174208 667006017945984 790525650898944 805441229217792 889341357261312 1185788476348416 1334012035891968 1581051301797888 1778682714522624 2371576952696832 2668024071783936 3557365429045248 4743153905393664 5336048143567872 7114730858090496 10672096287135744 14229461716180992 21344192574271488 42688385148542976
- Sum of all divisors σ(n): 130943414322431172
- Sum of proper divisors (its aliquot sum) s(n): 88255029173888196
- 42688385148542976 is an abundant number, because the sum of its proper divisors (88255029173888196) is greater than itself. Its abundance is 45566644025345220
Bases of 42688385148542976
- Binary: 100101111010100011011100001100001101000001100000000000002
- Hexadecimal: 0x97A8DC30D06000
- Base-36: BOBRPEO0000
Squares and roots of 42688385148542976
- 42688385148542976 squared (426883851485429762) is 1822298226590344519132535718936576
- 42688385148542976 cubed (426883851485429763) is 77790968552195465852621658533452140986898554290176
-
The
square root of 42688385148542976 is 206611677.1834132709 -
The
cube root of 42688385148542976 is 349491.4659669319
Scales and comparisons
How big is 42688385148542976?- 42,688,385,148,542,976 seconds is equal to 1,357,358,603 years, 45 weeks, 4 days, 20 hours, 9 minutes, 36 seconds.
-
To count from 1 to 42,688,385,148,542,976 would take you about four billion, seventy-two million, seventy-five thousand, eight hundred eleven 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 42688385148542976 cubic inches would be around 29124.3 feet tall.
Recreational maths with 42688385148542976
- 42688385148542976 backwards is 67924584158388624
- The number of decimal digits it has is: 17
- The sum of 42688385148542976's digits is 90
- More coming soon!
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"Number 42688385148542976 - Facts about the integer". Numbermatics.com. 2024. Web. 4 June 2024.
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Numbermatics. (2024). Number 42688385148542976 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/42688385148542976/
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Numbermatics. 2024. "Number 42688385148542976 - Facts about the integer". https://numbermatics.com/n/42688385148542976/
The information we have on file for 42688385148542976 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!
Keywords: Divisors of 42688385148542976, math, Factors of 42688385148542976, curriculum, school, college, exams, university, Prime factorization of 42688385148542976, STEM, science, technology, engineering, physics, economics, calculator, forty-two quadrillion, six hundred eighty-eight trillion, three hundred eighty-five billion, one hundred forty-eight million, five hundred forty-two thousand, nine hundred seventy-six.