42728913039458304
42,728,913,039,458,304 is an even composite number composed of four prime numbers multiplied together.
What does the number 42728913039458304 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 1224 divisors.
42728913039458304 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one thousand, two hundred twenty-four divisors.
Prime factorization of 42728913039458304:
216 × 35 × 173 × 7392
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 17 × 17 × 17 × 739 × 739)See below for interesting mathematical facts about the number 42728913039458304 from the Numbermatics database.
Names of 42728913039458304
- Cardinal: 42728913039458304 can be written as Forty-two quadrillion, seven hundred twenty-eight trillion, nine hundred thirteen billion, thirty-nine million, four hundred fifty-eight thousand, three hundred four.
Scientific notation
- Scientific notation: 4.2728913039458304 × 1016
Factors of 42728913039458304
Divisors of 42728913039458304
- Number of divisors d(n): 1224
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 81 96 102 108 128 136 144 153 162 192 204 216 243 256 272 288 289 306 324 384 408 432 459 486 512 544 576 578 612 648 739 768 816 864 867 918 972 1024 1088 1152 1156 1224 1296 1377 1478 1536 1632 1728 1734 1836 1944 2048 2176 2217 2304 2312 2448 2592 2601 2754 2956 3072 3264 3456 3468 3672 3888 4096 4131 4352 4434 4608 4624 4896 4913 5184 5202 5508 5912 6144 6528 6651 6912 6936 7344 7776 7803 8192 8262 8704 8868 9216 9248 9792 9826 10368 10404 11016 11824 12288 12563 13056 13302 13824 13872 14688 14739 15552 15606 16384 16524 17408 17736 18432 18496 19584 19652 19953 20736 20808 22032 23409 23648 24576 25126 26112 26604 27648 27744 29376 29478 31104 31212 32768 33048 34816 35472 36864 36992 37689 39168 39304 39906 41472 41616 44064 44217 46818 47296 49152 50252 52224 53208 55296 55488 58752 58956 59859 62208 62424 65536 66096 69632 70227 70944 73728 73984 75378 78336 78608 79812 82944 83232 88128 88434 93636 94592 98304 100504 104448 106416 110592 110976 113067 117504 117912 119718 124416 124848 132192 132651 139264 140454 141888 147456 147968 150756 156672 157216 159624 165888 166464 176256 176868 179577 187272 189184 196608 201008 208896 212832 213571 221184 221952 226134 235008 235824 239436 248832 249696 264384 265302 278528 280908 283776 294912 295936 301512 313344 314432 319248 331776 332928 339201 352512 353736 359154 374544 378368 397953 402016 417792 425664 427142 442368 443904 452268 470016 471648 478872 497664 499392 528768 530604 546121 557056 561816 567552 589824 591872 603024 626688 628864 638496 640713 663552 665856 678402 705024 707472 718308 749088 756736 795906 804032 835584 851328 854284 884736 887808 904536 940032 943296 957744 995328 998784 1017603 1057536 1061208 1092242 1114112 1123632 1135104 1183744 1193859 1206048 1253376 1257728 1276992 1281426 1327104 1331712 1356804 1410048 1414944 1436616 1498176 1513472 1591812 1608064 1638363 1671168 1702656 1708568 1769472 1775616 1809072 1880064 1886592 1915488 1922139 1990656 1997568 2035206 2115072 2122416 2184484 2247264 2270208 2367488 2387718 2412096 2506752 2515456 2553984 2562852 2654208 2663424 2713608 2820096 2829888 2873232 2996352 3026944 3052809 3183624 3216128 3276726 3342336 3405312 3417136 3551232 3618144 3630707 3760128 3773184 3830976 3844278 3981312 3995136 4070412 4230144 4244832 4368968 4494528 4540416 4734976 4775436 4824192 4915089 5013504 5030912 5107968 5125704 5308416 5326848 5427216 5640192 5659776 5746464 5766417 5992704 6053888 6105618 6367248 6432256 6553452 6810624 6834272 7102464 7236288 7261414 7520256 7546368 7661952 7688556 7962624 7990272 8140824 8460288 8489664 8737936 8989056 9080832 9284057 9469952 9550872 9648384 9830178 10027008 10061824 10215936 10251408 10653696 10854432 10892121 11280384 11319552 11492928 11532834 11985408 12107776 12211236 12734496 12864512 13106904 13621248 13668544 14204928 14472576 14522828 14745267 15040512 15092736 15323904 15377112 15925248 15980544 16281648 16920576 16979328 17299251 17475872 17978112 18161664 18568114 18939904 19101744 19296768 19660356 20123648 20431872 20502816 21307392 21708864 21784242 22560768 22639104 22985856 23065668 23970816 24215552 24422472 25468992 25729024 26213808 27242496 27337088 27852171 28409856 28945152 29045656 29490534 30081024 30185472 30647808 30754224 31961088 32563296 32676363 33841152 33958656 34598502 34951744 35956224 36323328 37136228 38203488 38593536 39320712 40247296 40863744 41005632 42614784 43417728 43568484 44235801 45121536 45278208 45971712 46131336 47941632 48431104 48844944 50937984 51458048 51897753 52427616 54484992 54674176 55704342 56819712 57890304 58091312 58981068 60370944 61295616 61508448 63922176 65126592 65352726 67682304 67917312 69197004 69903488 71912448 72646656 74272456 76406976 77187072 78641424 80494592 81727488 82011264 83556513 85229568 86835456 87136968 88471602 90243072 90556416 91943424 92262672 95883264 97689888 98029089 101875968 102916096 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64394219352 66689630208 66921191424 67946190336 68182114608 70857732096 72192827232 72443496771 75286340352 76054994944 76704878934 78240743424 80528818176 80808432128 85561869312 85858959136 89228255232 90594920448 90909486144 94476976128 96257102976 96591329028 100034445312 100381787136 102273171912 106286598144 107371757568 112929510528 114082492416 118971006976 120793227264 121212648192 125969301504 128342803968 128788438704 133842382848 135892380672 136364229216 141715464192 144385654464 144886993542 150572680704 152109989888 153409757868 161057636352 161616864256 171123738624 171717918272 178456510464 181189840896 181818972288 188953952256 192514205952 193182658056 200068890624 200763574272 204546343824 212573196288 217330490313 225859021056 228164984832 237942013952 241586454528 242425296384 256685607936 257576877408 267684765696 271784761344 272728458432 283430928384 288771308928 289773987084 301145361408 304219979776 306819515736 322115272704 323233728512 342247477248 343435836544 356913020928 362379681792 363637944576 377907904512 385028411904 386365316112 401527148544 409092687648 425146392576 434660980626 451718042112 456329969664 483172909056 484850592768 513371215872 515153754816 535369531392 543569522688 545456916864 566861856768 577542617856 579547974168 602290722816 608439959552 613639031472 646467457024 651991470939 684494954496 686871673088 713826041856 724759363584 727275889152 770056823808 772730632224 803054297088 818185375296 850292785152 869321961252 903436084224 912659939328 966345818112 969701185536 1026742431744 1030307509632 1070739062784 1087139045376 1090913833728 1133723713536 1155085235712 1159095948336 1204581445632 1227278062944 1292934914048 1303982941878 1368989908992 1373743346176 1449518727168 1454551778304 1540113647616 1545461264448 1606108594176 1636370750592 1700585570304 1738643922504 1806872168448 1825319878656 1939402371072 2053484863488 2060615019264 2141478125568 2174278090752 2181827667456 2310170471424 2318191896672 2409162891264 2454556125888 2585869828096 2607965883756 2737979817984 2747486692352 2899037454336 2909103556608 3080227295232 3090922528896 3212217188352 3272741501184 3401171140608 3477287845008 3613744336896 3878804742144 4106969726976 4121230038528 4348556181504 4363655334912 4620340942848 4636383793344 4818325782528 4909112251776 5171739656192 5215931767512 5475959635968 5494973384704 5818207113216 6160454590464 6181845057792 6424434376704 6545483002368 6954575690016 7227488673792 7757609484288 8213939453952 8242460077056 8697112363008 8727310669824 9240681885696 9272767586688 9636651565056 9818224503552 10343479312384 10431863535024 10989946769408 11636414226432 12320909180928 12363690115584 13090966004736 13909151380032 14454977347584 15515218968576 16427878907904 16484920154112 17454621339648 18481363771392 18545535173376 19273303130112 19636449007104 20863727070048 21979893538816 23272828452864 24641818361856 24727380231168 26181932009472 27818302760064 28909954695168 31030437937152 32969840308224 34909242679296 36962727542784 37091070346752 39272898014208 41727454140096 43959787077632 46545656905728 49283636723712 49454760462336 52363864018944 55636605520128 57819909390336 65939680616448 69818485358592 73925455085568 74182140693504 78545796028416 83454908280192 87919574155264 93091313811456 98909520924672 104727728037888 111273211040256 131879361232896 139636970717184 147850910171136 148364281387008 157091592056832 166909816560384 175839148310528 197819041849344 209455456075776 222546422080512 263758722465792 279273941434368 296728562774016 314183184113664 333819633120768 395638083698688 418910912151552 445092844161024 527517444931584 593457125548032 628366368227328 667639266241536 791276167397376 837821824303104 890185688322048 1186914251096064 1256732736454656 1335278532483072 1582552334794752 1780371376644096 2373828502192128 2513465472909312 2670557064966144 3560742753288192 4747657004384256 5341114129932288 7121485506576384 10682228259864576 14242971013152768 21364456519729152 42728913039458304
- Sum of all divisors σ(n): 136193208658350480
- Sum of proper divisors (its aliquot sum) s(n): 93464295618892176
- 42728913039458304 is an abundant number, because the sum of its proper divisors (93464295618892176) is greater than itself. Its abundance is 50735382579433872
Bases of 42728913039458304
- Binary: 100101111100110110111000010100110101101100000000000000002
- Hexadecimal: 0x97CDB8535B0000
- Base-36: BOQ4VNVUO00
Squares and roots of 42728913039458304
- 42728913039458304 squared (427289130394583042) is 1825760009533589879044061754556416
- 42728913039458304 cubed (427289130394583043) is 78012740678281326006573525535712270961868447678464
-
The
square root of 42728913039458304 is 206709731.3612939317 -
The
cube root of 42728913039458304 is 349602.0321228163
Scales and comparisons
How big is 42728913039458304?- 42,728,913,039,458,304 seconds is equal to 1,358,647,265 years, 23 weeks, 2 days, 8 hours, 38 minutes, 24 seconds.
-
To count from 1 to 42,728,913,039,458,304 would take you about four billion, seventy-five million, nine hundred forty-one thousand, seven hundred ninety-six 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 42728913039458304 cubic inches would be around 29133.5 feet tall.
Recreational maths with 42728913039458304
- 42728913039458304 backwards is 40385493031982724
- 42728913039458304 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 42728913039458304's digits is 72
- More coming soon!
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"Number 42728913039458304 - Facts about the integer". Numbermatics.com. 2024. Web. 15 June 2024.
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The information we have on file for 42728913039458304 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 42728913039458304, math, Factors of 42728913039458304, curriculum, school, college, exams, university, Prime factorization of 42728913039458304, STEM, science, technology, engineering, physics, economics, calculator, forty-two quadrillion, seven hundred twenty-eight trillion, nine hundred thirteen billion, thirty-nine million, four hundred fifty-eight thousand, three hundred four.