4000890988322095104
4,000,890,988,322,095,104 is an even composite number composed of four prime numbers multiplied together.
What does the number 4000890988322095104 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 1152 divisors.
4000890988322095104 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 4000890988322095104:
235 × 33 × 19 × 613
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 19 × 61 × 61 × 61)See below for interesting mathematical facts about the number 4000890988322095104 from the Numbermatics database.
Names of 4000890988322095104
- Cardinal: 4000890988322095104 can be written as Four quintillion, eight hundred ninety trillion, nine hundred eighty-eight billion, three hundred twenty-two million, ninety-five thousand, one hundred four.
Scientific notation
- Scientific notation: 4.000890988322095104 × 1018
Factors of 4000890988322095104
Divisors of 4000890988322095104
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 61 64 72 76 96 108 114 122 128 144 152 171 183 192 216 228 244 256 288 304 342 366 384 432 456 488 512 513 549 576 608 684 732 768 864 912 976 1024 1026 1098 1152 1159 1216 1368 1464 1536 1647 1728 1824 1952 2048 2052 2196 2304 2318 2432 2736 2928 3072 3294 3456 3477 3648 3721 3904 4096 4104 4392 4608 4636 4864 5472 5856 6144 6588 6912 6954 7296 7442 7808 8192 8208 8784 9216 9272 9728 10431 10944 11163 11712 12288 13176 13824 13908 14592 14884 15616 16384 16416 17568 18432 18544 19456 20862 21888 22326 23424 24576 26352 27648 27816 29184 29768 31232 31293 32768 32832 33489 35136 36864 37088 38912 41724 43776 44652 46848 49152 52704 55296 55632 58368 59536 62464 62586 65536 65664 66978 70272 70699 73728 74176 77824 83448 87552 89304 93696 98304 100467 105408 110592 111264 116736 119072 124928 125172 131072 131328 133956 140544 141398 147456 148352 155648 166896 175104 178608 187392 196608 200934 210816 212097 221184 222528 226981 233472 238144 249856 250344 262144 262656 267912 281088 282796 294912 296704 311296 333792 350208 357216 374784 393216 401868 421632 424194 442368 445056 453962 466944 476288 499712 500688 524288 525312 535824 562176 565592 589824 593408 622592 636291 667584 680943 700416 714432 749568 786432 803736 843264 848388 884736 890112 907924 933888 952576 999424 1001376 1048576 1050624 1071648 1124352 1131184 1179648 1186816 1245184 1272582 1335168 1361886 1400832 1428864 1499136 1572864 1607472 1686528 1696776 1769472 1780224 1815848 1867776 1905152 1908873 1998848 2002752 2042829 2097152 2101248 2143296 2248704 2262368 2359296 2373632 2490368 2545164 2670336 2723772 2801664 2857728 2998272 3145728 3214944 3373056 3393552 3538944 3560448 3631696 3735552 3810304 3817746 3997696 4005504 4085658 4194304 4202496 4286592 4312639 4497408 4524736 4718592 4747264 4980736 5090328 5340672 5447544 5603328 5715456 5996544 6128487 6291456 6429888 6746112 6787104 7077888 7120896 7263392 7471104 7620608 7635492 7995392 8011008 8171316 8388608 8404992 8573184 8625278 8994816 9049472 9437184 9494528 9961472 10180656 10681344 10895088 11206656 11430912 11993088 12256974 12582912 12859776 12937917 13492224 13574208 14155776 14241792 14526784 14942208 15241216 15270984 15990784 16022016 16342632 16777216 16809984 17146368 17250556 17989632 18098944 18874368 18989056 19922944 20361312 21362688 21790176 22413312 22861824 23986176 24513948 25165824 25719552 25875834 26984448 27148416 28311552 28483584 29053568 29884416 30482432 30541968 31981568 32044032 32685264 33554432 33619968 34292736 34501112 35979264 36197888 37748736 37978112 38813751 39845888 40722624 42725376 43580352 44826624 45723648 47972352 49027896 50331648 51439104 51751668 53968896 54296832 56623104 56967168 58107136 59768832 60964864 61083936 63963136 64088064 65370528 67108864 67239936 68585472 69002224 71958528 72395776 75497472 75956224 77627502 79691776 81445248 85450752 87160704 89653248 91447296 95944704 98055792 100663296 102878208 103503336 107937792 108593664 113246208 113934336 116214272 116441253 119537664 121929728 122167872 127926272 128176128 130741056 134217728 134479872 137170944 138004448 143917056 144791552 150994944 151912448 155255004 159383552 162890496 170901504 174321408 179306496 182894592 191889408 196111584 201326592 205756416 207006672 215875584 217187328 226492416 227868672 232428544 232882506 239075328 243859456 244335744 255852544 256352256 261482112 268435456 268959744 274341888 276008896 287834112 289583104 301989888 303824896 310510008 318767104 325780992 341803008 348642816 358612992 365789184 383778816 392223168 402653184 411512832 414013344 431751168 434374656 452984832 455737344 464857088 465765012 478150656 487718912 488671488 511705088 512704512 522964224 536870912 537919488 548683776 552017792 575668224 579166208 603979776 607649792 621020016 637534208 651561984 683606016 697285632 717225984 731578368 767557632 784446336 805306368 823025664 828026688 863502336 868749312 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238471686144 244813135872 249712082944 250199801856 261993005056 262504710144 267757682688 275414777856 280926093312 282633109504 294742130688 296533098496 309237645312 311116693504 317962248192 326417514496 333599735808 350006280192 357010243584 367219703808 374568124416 392989507584 401636524032 421389139968 423949664256 442113196032 444799647744 463856467968 466675040256 476013658112 476943372288 489626271744 499424165888 500399603712 523986010112 525009420288 535515365376 550829555712 561852186624 565266219008 589484261376 593066196992 622233387008 635924496384 652835028992 667199471616 700012560384 714020487168 734439407616 749136248832 785979015168 803273048064 842778279936 847899328512 884226392064 889599295488 927712935936 933350080512 952027316224 953886744576 979252543488 998848331776 1000799207424 1047972020224 1050018840576 1071030730752 1101659111424 1123704373248 1130532438016 1178968522752 1186132393984 1244466774016 1271848992768 1334398943232 1400025120768 1428040974336 1468878815232 1498272497664 1571958030336 1606546096128 1685556559872 1695798657024 1768452784128 1779198590976 1866700161024 1904054632448 1907773489152 1958505086976 1997696663552 2001598414848 2095944040448 2100037681152 2142061461504 2203318222848 2247408746496 2261064876032 2357937045504 2372264787968 2488933548032 2543697985536 2668797886464 2800050241536 2856081948672 2937757630464 2996544995328 3143916060672 3213092192256 3371113119744 3391597314048 3536905568256 3558397181952 3733400322048 3808109264896 3815546978304 3995393327104 4003196829696 4200075362304 4284122923008 4406636445696 4494817492992 4522129752064 4715874091008 4744529575936 4977867096064 5087395971072 5337595772928 5600100483072 5712163897344 5875515260928 5993089990656 6287832121344 6426184384512 6742226239488 6783194628096 7073811136512 7116794363904 7466800644096 7616218529792 7631093956608 7990786654208 8006393659392 8400150724608 8568245846016 8813272891392 8989634985984 9044259504128 9431748182016 9489059151872 9955734192128 10174791942144 10675191545856 11200200966144 11424327794688 11986179981312 12852368769024 13484452478976 13566389256192 14147622273024 14233588727808 14933601288192 15232437059584 15262187913216 15981573308416 16012787318784 16800301449216 17136491692032 17626545782784 17979269971968 18088519008256 18863496364032 18978118303744 19911468384256 20349583884288 21350383091712 22400401932288 22848655589376 23972359962624 25704737538048 26968904957952 27132778512384 28295244546048 28467177455616 29867202576384 30464874119168 30524375826432 31963146616832 32025574637568 33600602898432 34272983384064 35958539943936 36177038016512 37956236607488 39822936768512 40699167768576 42700766183424 44800803864576 45697311178752 47944719925248 51409475076096 53937809915904 54265557024768 56590489092096 56934354911232 59734405152768 60929748238336 61048751652864 63926293233664 64051149275136 67201205796864 68545966768128 71917079887872 72354076033024 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976780026445824 1024818388402176 1075219292749824 1096735468290048 1150673278205952 1157665216528384 1214599571439616 1302373368594432 1366424517869568 1462313957720064 1645103202435072 1726009917308928 1736497824792576 1821899357159424 1949751943626752 1953560052891648 2049636776804352 2193470936580096 2315330433056768 2429199142879232 2604746737188864 2732849035739136 2924627915440128 3290206404870144 3452019834617856 3472995649585152 3643798714318848 3899503887253504 3907120105783296 4099273553608704 4386941873160192 4630660866113536 5209493474377728 5465698071478272 5849255830880256 6580412809740288 6945991299170304 7287597428637696 7799007774507008 7814240211566592 8198547107217408 8773883746320384 9261321732227072 10418986948755456 10931396142956544 11698511661760512 13160825619480576 13891982598340608 15628480423133184 16397094214434816 17547767492640768 18522643464454144 20837973897510912 21862792285913088 23397023323521024 26321651238961152 27783965196681216 31256960846266368 32794188428869632 35095534985281536 37045286928908288 41675947795021824 52643302477922304 55567930393362432 62513921692532736 65588376857739264 70191069970563072 74090573857816576 83351895590043648 105286604955844608 111135860786724864 125027843385065472 148181147715633152 166703791180087296 210573209911689216 222271721573449728 250055686770130944 333407582360174592 444543443146899456 500111373540261888 666815164720349184 1000222747080523776 1333630329440698368 2000445494161047552 4000890988322095104
- Sum of all divisors σ(n): 12686385063420432000
- Sum of proper divisors (its aliquot sum) s(n): 8685494075098336896
- 4000890988322095104 is an abundant number, because the sum of its proper divisors (8685494075098336896) is greater than itself. Its abundance is 4684603086776241792
Bases of 4000890988322095104
- Binary: 110111100001100000010100101000000000000000000000000000000000002
- Hexadecimal: 0x3786052800000000
- Base-36: UEADHMDIUIO0
Squares and roots of 4000890988322095104
- 4000890988322095104 squared (40008909883220951042) is 16007128700436950941848790760020770816
- 4000890988322095104 cubed (40008909883220951043) is 64042776966490166468949563569522456862670935426139684864
-
The
square root of 4000890988322095104 is 2000222734.6778395979 -
The
cube root of 4000890988322095104 is 1587518.9062013859
Scales and comparisons
How big is 4000890988322095104?- 4,000,890,988,322,095,104 seconds is equal to 127,215,957,860 years, 13 weeks, 4 days, 8 hours, 38 minutes, 24 seconds.
-
To count from 1 to 4,000,890,988,322,095,104 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 4000890988322095104 cubic inches would be around 132293.2 feet tall.
Recreational maths with 4000890988322095104
- 4000890988322095104 backwards is 4015902238890980004
- 4000890988322095104 is a
Harshad number . - The number of decimal digits it has is: 19
- The sum of 4000890988322095104's digits is 72
- More coming soon!
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"Number 4000890988322095104 - Facts about the integer". Numbermatics.com. 2024. Web. 15 May 2024.
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Numbermatics. (2024). Number 4000890988322095104 - Facts about the integer. Retrieved 15 May 2024, from https://numbermatics.com/n/4000890988322095104/
Chicago style:
Numbermatics. 2024. "Number 4000890988322095104 - Facts about the integer". https://numbermatics.com/n/4000890988322095104/
The information we have on file for 4000890988322095104 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 4000890988322095104, math, Factors of 4000890988322095104, curriculum, school, college, exams, university, Prime factorization of 4000890988322095104, STEM, science, technology, engineering, physics, economics, calculator, four quintillion, eight hundred ninety trillion, nine hundred eighty-eight billion, three hundred twenty-two million, ninety-five thousand, one hundred four.