40046931945209728
40,046,931,945,209,728 is an even composite number composed of seven prime numbers multiplied together.
What does the number 40046931945209728 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 768 divisors.
40046931945209728 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 40046931945209728:
27 × 7 × 11 × 172 × 257 × 2801 × 19531
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 11 × 17 × 17 × 257 × 2801 × 19531)See below for interesting mathematical facts about the number 40046931945209728 from the Numbermatics database.
Names of 40046931945209728
- Cardinal: 40046931945209728 can be written as Forty quadrillion, forty-six trillion, nine hundred thirty-one billion, nine hundred forty-five million, two hundred nine thousand, seven hundred twenty-eight.
Scientific notation
- Scientific notation: 4.0046931945209728 × 1016
Factors of 40046931945209728
Divisors of 40046931945209728
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 4 7 8 11 14 16 17 22 28 32 34 44 56 64 68 77 88 112 119 128 136 154 176 187 224 238 257 272 289 308 352 374 448 476 514 544 578 616 704 748 896 952 1028 1088 1156 1232 1309 1408 1496 1799 1904 2023 2056 2176 2312 2464 2618 2801 2827 2992 3179 3598 3808 4046 4112 4369 4624 4928 5236 5602 5654 5984 6358 7196 7616 8092 8224 8738 9248 9856 10472 11204 11308 11968 12716 14392 15232 16184 16448 17476 18496 19531 19607 19789 20944 22253 22408 22616 23936 25432 28784 30583 30811 32368 32896 34952 36992 39062 39214 39578 41888 44506 44816 45232 47617 48059 50864 57568 61166 61622 64736 69904 74273 78124 78428 79156 83776 89012 89632 90464 95234 96118 101728 115136 122332 123244 129472 136717 139808 148546 156248 156856 158312 167552 178024 179264 180928 190468 192236 203456 214841 215677 230272 244664 246488 258944 273434 279616 297092 312496 313712 316624 332027 333319 336413 356048 358528 361856 380936 384472 406912 429682 431354 489328 492976 519911 523787 546868 559232 594184 624992 627424 633248 664054 666638 672826 712096 719857 761872 768944 809489 817003 859364 862708 978656 985952 1039822 1047574 1093736 1188368 1249984 1254848 1266496 1328108 1333276 1345652 1424192 1439714 1503887 1523744 1537888 1618978 1634006 1718728 1725416 1957312 1971904 2079644 2095148 2187472 2324189 2376736 2499968 2509696 2532992 2656216 2666552 2691304 2848384 2879428 3007774 3047488 3075776 3237956 3268012 3437456 3450832 3652297 3666509 3914624 3943808 4159288 4190296 4374944 4648378 4753472 5019467 5038999 5312432 5333104 5382608 5644459 5666423 5719021 5758856 6015548 6094976 6151552 6475912 6536024 6874912 6901664 7304594 7333018 7918427 8318576 8380592 8749888 8904379 9296756 9506944 10038934 10077998 10624864 10666208 10765216 11288918 11332846 11438042 11517712 12031096 12237569 12951824 13072048 13749824 13803328 14609188 14666036 15836854 16637152 16761184 17499776 17808758 18593512 20077868 20155996 21249728 21332416 21530432 22577836 22665692 22876084 23035424 24062192 24475138 25566079 25903648 26144096 27499648 27606656 29218376 29332072 31673708 33274304 33522368 35136269 35617516 37187024 39511213 40155736 40311992 42499456 42664832 43060864 45155672 45331384 45752168 46070848 48124384 48950276 51132158 51807296 52288192 54706331 55214137 55428989 58436752 58664144 62089049 62330653 63347416 66548608 67044736 70272538 71235032 74374048 79022426 80311472 80623984 85330939 85662983 90311344 90662768 91504336 92141696 96248768 97900552 102264316 103614592 104576384 109412662 110428274 110857978 116873504 117328288 124178098 124661306 126694832 134613259 140545076 142470064 148748096 158044852 160622944 161247968 170661878 171325966 180622688 181325536 183008672 192497536 195801104 204528632 208038673 218825324 220856548 221715956 233747008 234656576 248356196 249322612 253389664 269226518 281090152 284940128 297496192 316089704 321245888 322495936 341323756 342651932 361245376 362651072 366017344 382944317 386498959 391602208 409057264 416077346 434623343 437650648 441713096 443431912 467494016 469313152 496712392 498645224 506779328 538453036 562180304 569880256 597316573 601769641 632179408 642491776 644991872 682647512 685303864 722490752 725302144 732034688 765888634 772997918 783204416 818114528 832154692 869246686 875301296 883426192 886863824 930007627 938640329 942292813 993424784 997290448 1013558656 1076906072 1124360608 1139760512 1194633146 1203539282 1264358816 1365295024 1370607728 1450625963 1456270711 1531777268 1545995836 1566408832 1636229056 1664309384 1738493372 1750602592 1766852384 1773727648 1860015254 1877280658 1884585626 1986849568 1994580896 2153812144 2248721216 2288425403 2389266292 2407078564 2528717632 2730590048 2741215456 2901251926 2912541422 3063554536 3091991672 3272458112 3328618768 3476986744 3501205184 3533704768 3547455296 3720030508 3754561316 3769171252 3973699136 3989161792 4212387487 4307624288 4497442432 4576850806 4778532584 4814157128 5057435264 5461180096 5482430912 5802503852 5825082844 6127109072 6183983344 6510053389 6570482303 6657237536 6953973488 7002410368 7067409536 7094910592 7440061016 7509122632 7538342504 7947398272 7978323584 8424774974 8615248576 9153701612 9557065168 9628314256 10154381741 10230083897 10922360192 10964861824 11605007704 11650165688 12254218144 12367966688 13020106778 13140964606 13314475072 13907946976 14059527067 14880122032 15018245264 15076685008 15810129659 15956885593 16018977821 16849549948 17230497152 18307403224 19114130336 19256628512 20308763482 20460167794 23210015408 23300331376 24508436288 24735933376 26040213556 26281929212 26628950144 27815893952 28119054134 29760244064 30036490528 30153370016 31620259318 31913771186 32037955642 33699099896 36614806448 38228260672 38513257024 40617526964 40920335588 46420030816 46600662752 49016872576 49471866752 52080427112 52563858424 55631787904 56238108268 59520488128 60072981056 60306740032 63240518636 63827542372 64075911284 67398199792 71610587279 73229612896 76456521344 77026514048 81235053928 81840671176 92840061632 93201325504 98416689469 104160854224 105127716848 110670907613 111698199151 112476216536 119040976256 120145962112 120613480064 126481037272 127655084744 128151822568 134796399584 143221174558 146459225792 154654797737 162470107856 163681342352 173911426249 185680123264 186402651008 196833378938 208321708448 210255433696 221341815226 223396398302 224952433072 239011960139 252962074544 255310169488 256303645136 269592799168 286442349116 292918451584 309309595474 324940215712 327362684704 347822852498 393666757876 416643416896 420510867392 442683630452 446792796604 449904866144 478023920278 505924149088 510620338976 512607290272 539185598336 572884698232 618619190948 649880431424 654725369408 695645704996 787333515752 833286833792 841021734784 885367260904 893585593208 899809732288 956047840556 1011848298176 1021240677952 1025214580544 1082583584159 1145769396464 1217379983743 1237238381896 1299760862848 1309450738816 1391291409992 1574667031504 1673083720973 1770734521808 1787171186416 1799619464576 1912095681112 2023696596352 2042481355904 2050429161088 2165167168318 2291538792928 2434759967486 2474476763792 2629131561529 2782582819984 3149334063008 3346167441946 3541469043616 3574342372832 3824191362224 4063203322363 4330334336636 4583077585856 4869519934972 4948953527584 5258263123058 5565165639968 6298668126016 6692334883892 7082938087232 7148684745664 7648382724448 8126406644726 8660668673272 9166155171712 9739039869944 9897907055168 10516526246116 11130331279936 12597336252032 13384669767784 14165876174464 14297369491328 15296765448896 16252813289452 17321337346544 18403920930703 19478079739888 19795814110336 21033052492232 22260662559872 26769339535568 28442423256541 30593530897792 32505626578904 34642674693088 36807841861406 38956159479776 42066104984464 44695236545993 53538679071136 56884846513082 65011253157808 69285349386176 73615683722812 77912318959552 84132209968928 89390473091986 107077358142272 113769693026164 130022506315616 138570698772352 147231367445624 155824637919104 168264419937856 178780946183972 214154716284544 227539386052328 260045012631232 294462734891248 312866655821951 336528839875712 357561892367944 455078772104656 520090025262464 588925469782496 625733311643902 715123784735888 910157544209312 1177850939564992 1251466623287804 1430247569471776 1820315088418624 2355701879129984 2502933246575608 2860495138943552 3640630176837248 5005866493151216 5720990277887104 10011732986302432 20023465972604864 40046931945209728
- Sum of all divisors σ(n): 106116847967992320
- Sum of proper divisors (its aliquot sum) s(n): 66069916022782592
- 40046931945209728 is an abundant number, because the sum of its proper divisors (66069916022782592) is greater than itself. Its abundance is 26022984077572864
Bases of 40046931945209728
- Binary: 100011100100011001111000111100001111000000111111100000002
- Hexadecimal: 0x8E4678F0F03F80
- Base-36: AYBGAK31APS
Squares and roots of 40046931945209728
- 40046931945209728 squared (400469319452097282) is 1603756758224259408910965905833984
- 40046931945209728 cubed (400469319452097283) is 64225537753277088294072235672460914773717629796352
-
The
square root of 40046931945209728 is 200117295.4674576047 -
The
cube root of 40046931945209728 is 342128.8912206179
Scales and comparisons
How big is 40046931945209728?- 40,046,931,945,209,728 seconds is equal to 1,273,368,562 years, 29 weeks, 2 days, 6 hours, 15 minutes, 28 seconds.
-
To count from 1 to 40,046,931,945,209,728 would take you about three billion, eight hundred twenty million, one hundred five thousand, six hundred eighty-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 40046931945209728 cubic inches would be around 28510.7 feet tall.
Recreational maths with 40046931945209728
- 40046931945209728 backwards is 82790254913964004
- The number of decimal digits it has is: 17
- The sum of 40046931945209728's digits is 73
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 40046931945209728 - Facts about the integer". Numbermatics.com. 2024. Web. 23 September 2024.
APA style:
Numbermatics. (2024). Number 40046931945209728 - Facts about the integer. Retrieved 23 September 2024, from https://numbermatics.com/n/40046931945209728/
Chicago style:
Numbermatics. 2024. "Number 40046931945209728 - Facts about the integer". https://numbermatics.com/n/40046931945209728/
The information we have on file for 40046931945209728 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 40046931945209728, math, Factors of 40046931945209728, curriculum, school, college, exams, university, Prime factorization of 40046931945209728, STEM, science, technology, engineering, physics, economics, calculator, forty quadrillion, forty-six trillion, nine hundred thirty-one billion, nine hundred forty-five million, two hundred nine thousand, seven hundred twenty-eight.