40904780221513728
40,904,780,221,513,728 is an even composite number composed of five prime numbers multiplied together.
What does the number 40904780221513728 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1440 divisors.
40904780221513728 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 40904780221513728:
219 × 33 × 13 × 172 × 8772
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 13 × 17 × 17 × 877 × 877)See below for interesting mathematical facts about the number 40904780221513728 from the Numbermatics database.
Names of 40904780221513728
- Cardinal: 40904780221513728 can be written as Forty quadrillion, nine hundred four trillion, seven hundred eighty billion, two hundred twenty-one million, five hundred thirteen thousand, seven hundred twenty-eight.
Scientific notation
- Scientific notation: 4.0904780221513728 × 1016
Factors of 40904780221513728
Divisors of 40904780221513728
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 17 18 24 26 27 32 34 36 39 48 51 52 54 64 68 72 78 96 102 104 108 117 128 136 144 153 156 192 204 208 216 221 234 256 272 288 289 306 312 351 384 408 416 432 442 459 468 512 544 576 578 612 624 663 702 768 816 832 864 867 877 884 918 936 1024 1088 1152 1156 1224 1248 1326 1404 1536 1632 1664 1728 1734 1754 1768 1836 1872 1989 2048 2176 2304 2312 2448 2496 2601 2631 2652 2808 3072 3264 3328 3456 3468 3508 3536 3672 3744 3757 3978 4096 4352 4608 4624 4896 4992 5202 5262 5304 5616 5967 6144 6528 6656 6912 6936 7016 7072 7344 7488 7514 7803 7893 7956 8192 8704 9216 9248 9792 9984 10404 10524 10608 11232 11271 11401 11934 12288 13056 13312 13824 13872 14032 14144 14688 14909 14976 15028 15606 15786 15912 16384 17408 18432 18496 19584 19968 20808 21048 21216 22464 22542 22802 23679 23868 24576 26112 26624 27648 27744 28064 28288 29376 29818 29952 30056 31212 31572 31824 32768 33813 34203 34816 36864 36992 39168 39936 41616 42096 42432 44727 44928 45084 45604 47358 47736 49152 52224 53248 55296 55488 56128 56576 58752 59636 59904 60112 62424 63144 63648 65536 67626 68406 69632 73728 73984 78336 79872 83232 84192 84864 89454 89856 90168 91208 94716 95472 98304 101439 102609 104448 106496 110592 110976 112256 113152 117504 119272 119808 120224 124848 126288 127296 131072 134181 135252 136812 139264 147456 147968 156672 159744 166464 168384 169728 178908 179712 180336 182416 189432 190944 193817 196608 202878 205218 208896 212992 221184 221952 224512 226304 235008 238544 239616 240448 249696 252576 253453 254592 262144 268362 270504 273624 278528 294912 295936 307827 313344 319488 332928 336768 339456 357816 359424 360672 364832 378864 381888 387634 393216 402543 405756 410436 417792 425984 442368 443904 449024 452608 470016 477088 479232 480896 499392 505152 506906 509184 524288 536724 541008 547248 557056 581451 589824 591872 615654 626688 638976 665856 673536 678912 715632 718848 721344 729664 757728 760359 763776 769129 775268 786432 805086 811512 820872 835584 851968 884736 887808 898048 905216 940032 954176 958464 961792 998784 1010304 1013812 1018368 1073448 1082016 1094496 1114112 1162902 1179648 1183744 1231308 1253376 1277952 1331712 1347072 1357824 1431264 1437696 1442688 1459328 1515456 1520718 1527552 1538258 1550536 1572864 1610172 1623024 1641744 1671168 1703936 1744353 1769472 1775616 1796096 1810432 1880064 1908352 1916928 1923584 1997568 2020608 2027624 2036736 2146896 2164032 2188992 2228224 2281077 2307387 2325804 2359296 2367488 2462616 2506752 2555904 2663424 2694144 2715648 2862528 2875392 2885376 2918656 3030912 3041436 3055104 3076516 3101072 3220344 3246048 3283488 3294889 3342336 3407872 3488706 3538944 3551232 3592192 3620864 3760128 3816704 3833856 3847168 3995136 4041216 4055248 4073472 4293792 4328064 4377984 4456448 4562154 4614774 4651608 4718592 4734976 4925232 5013504 5111808 5233059 5326848 5388288 5431296 5725056 5750784 5770752 5837312 6061824 6082872 6110208 6153032 6202144 6440688 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161390002176 161950384128 163818323968 170119028736 170709719808 171476877312 174056969216 180751468032 182194182144 184295614464 184935529792 192048434784 195814090368 199323549696 201622552576 208052471016 211048464384 214223962112 215933845504 224238993408 226825371648 227612959744 228635836416 241001957376 242925576192 245727485952 256064579712 261085453824 276443421696 277403294688 293721135552 298985324544 302433828864 304847781888 312078706524 321335943168 323900768256 327636647936 340238057472 341419439616 342953754624 348113938432 361502936064 364388364288 368591228928 369871059584 384096869568 391628180736 398647099392 403245105152 416104942032 428447924224 431867691008 448477986816 453650743296 455225919488 457271672832 482003914752 485851152384 491454971904 512129159424 522170907648 552886843392 554806589376 587442271104 597970649088 604867657728 624157413048 642671886336 647801536512 655273295872 680476114944 682838879232 685907509248 696227876864 723005872128 728776728576 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4177367261184 4423094747136 4438452715008 4699538168832 4993259304384 5141375090688 5182412292096 5242186366976 5443808919552 5462711033856 5569823014912 5784046977024 5830213828608 5897459662848 5917936953344 6145549913088 6266050891776 6657679072512 6855166787584 7283614711808 7712062636032 7773618438144 7863279550464 8194066550784 8354734522368 8846189494272 8876905430016 9399076337664 9986518608768 10282750181376 10887617839104 10925422067712 11139646029824 11568093954048 11660427657216 11794919325696 11835873906688 12291099826176 12532101783552 13315358145024 14567229423616 15424125272064 15547236876288 15726559100928 16388133101568 16709469044736 17692378988544 17753810860032 18798152675328 19973037217536 20565500362752 21850844135424 22279292059648 23136187908096 23320855314432 23589838651392 23671747813376 24582199652352 25064203567104 26630716290048 29134458847232 30848250544128 32776266203136 33418938089472 35384757977088 35507621720064 37596305350656 39946074435072 43701688270848 44558584119296 46272375816192 46641710628864 47179677302784 47343495626752 49164399304704 50128407134208 53261432580096 58268917694464 61696501088256 65552532406272 66837876178944 70769515954176 71015243440128 75192610701312 79892148870144 87403376541696 89117168238592 92544751632384 94686991253504 98328798609408 100256814268416 106522865160192 116537835388928 131105064812544 133675752357888 141539031908352 142030486880256 150385221402624 159784297740288 174806753083392 185089503264768 189373982507008 196657597218816 200513628536832 213045730320384 262210129625088 267351504715776 284060973760512 300770442805248 319568595480576 349613506166784 378747965014016 393315194437632 401027257073664 426091460640768 524420259250176 568121947521024 601540885610496 639137190961152 757495930028032 786630388875264 802054514147328 852182921281536 1048840518500352 1136243895042048 1203081771220992 1278274381922304 1514991860056064 1573260777750528 1704365842563072 2272487790084096 2406163542441984 2556548763844608 3146521555501056 3408731685126144 4544975580168192 5113097527689216 6817463370252288 10226195055378432 13634926740504576 20452390110756864 40904780221513728
- Sum of all divisors σ(n): 138809942677098000
- Sum of proper divisors (its aliquot sum) s(n): 97905162455584272
- 40904780221513728 is an abundant number, because the sum of its proper divisors (97905162455584272) is greater than itself. Its abundance is 57000382234070544
Bases of 40904780221513728
- Binary: 100100010101001010101110010011101011100000000000000000002
- Hexadecimal: 0x9152AE4EB80000
- Base-36: B6RJ8M5REO0
Squares and roots of 40904780221513728
- 40904780221513728 squared (409047802215137282) is 1673201044970340670708011692457984
- 40904780221513728 cubed (409047802215137283) is 68441921010918892825239473915973564227477519204352
-
The
square root of 40904780221513728 is 202249302.1533417505 -
The
cube root of 40904780221513728 is 344554.5752645261
Scales and comparisons
How big is 40904780221513728?- 40,904,780,221,513,728 seconds is equal to 1,300,645,484 years, 13 weeks, 12 hours, 28 minutes, 48 seconds.
-
To count from 1 to 40,904,780,221,513,728 would take you about three billion, nine hundred one million, nine hundred thirty-six thousand, four hundred fifty-two 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 40904780221513728 cubic inches would be around 28712.9 feet tall.
Recreational maths with 40904780221513728
- 40904780221513728 backwards is 82731512208740904
- The number of decimal digits it has is: 17
- The sum of 40904780221513728's digits is 63
- More coming soon!
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"Number 40904780221513728 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
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Numbermatics. (2024). Number 40904780221513728 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/40904780221513728/
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The information we have on file for 40904780221513728 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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