4001131540938868479
4,001,131,540,938,868,479 is an odd composite number composed of nine prime numbers multiplied together.
What does the number 4001131540938868479 look like?
This visualization shows the relationship between its 9 prime factors (large circles) and 1536 divisors.
4001131540938868479 is an odd composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 4001131540938868479:
32 × 113 × 13 × 29 × 61 × 73 × 127 × 331 × 4733
(3 × 3 × 11 × 11 × 11 × 13 × 29 × 61 × 73 × 127 × 331 × 4733)See below for interesting mathematical facts about the number 4001131540938868479 from the Numbermatics database.
Names of 4001131540938868479
- Cardinal: 4001131540938868479 can be written as Four quintillion, one quadrillion, one hundred thirty-one trillion, five hundred forty billion, nine hundred thirty-eight million, eight hundred sixty-eight thousand, four hundred seventy-nine.
Scientific notation
- Scientific notation: 4.001131540938868479 × 1018
Factors of 4001131540938868479
Divisors of 4001131540938868479
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 3 9 11 13 29 33 39 61 73 87 99 117 121 127 143 183 219 261 319 331 363 377 381 429 549 657 671 793 803 949 957 993 1089 1131 1143 1287 1331 1397 1573 1651 1769 2013 2117 2379 2409 2847 2871 2979 3393 3509 3641 3683 3993 4147 4191 4303 4453 4719 4733 4953 5307 6039 6351 7137 7227 7381 7747 8541 8723 8833 9271 9599 10439 10527 10923 11049 11979 12441 12573 12909 13359 14157 14199 14859 15367 15921 17303 18161 19053 19459 20191 22143 22997 23241 23287 24163 26169 26499 27521 27813 28797 31317 31581 32769 33147 37323 38599 38727 40051 40077 40513 42037 42597 45617 46101 47333 47879 48983 51909 52063 54483 57889 58377 60573 61529 66429 68991 69723 69861 72489 78507 79497 81191 82563 83439 85217 86391 93951 95953 97163 100711 101981 105589 114829 115797 120153 120523 121539 124787 126111 129137 136851 137257 138303 141999 143637 146949 155727 156189 163449 169037 173667 175131 181719 184587 199771 206973 209583 214049 217467 222101 224663 243573 247689 252967 255651 256157 262483 265793 268859 287859 288713 291489 302133 302731 305943 314119 316767 344487 345509 347391 360459 361569 364617 374361 378333 387411 410553 411771 425997 430911 440561 440847 445643 462407 468567 501787 507111 520663 521001 526669 538813 546481 553761 565531 572693 585539 599313 601091 636779 642147 666303 673989 676819 700727 730719 758901 766953 768471 787449 797379 806577 863577 866139 874467 906399 908193 917829 937387 942357 950301 1033461 1036527 1055483 1084707 1107821 1121791 1123083 1161479 1162233 1219073 1235313 1263119 1321683 1325753 1336929 1372657 1387221 1420507 1473943 1505361 1509827 1521333 1561989 1566623 1580007 1616439 1639443 1678781 1696593 1718079 1756617 1784341 1797939 1803273 1910337 1926441 1998909 2021967 2030457 2102181 2197481 2276703 2305413 2354539 2362347 2392137 2419731 2443111 2471293 2564257 2598417 2724579 2782637 2812161 2817727 2827071 2887313 2920619 2923723 2957449 3068701 3109581 3166449 3175843 3323463 3330041 3365373 3455309 3484437 3495167 3657219 3753269 3789357 3800599 3965049 3977259 4010787 4117971 4161663 4261521 4421829 4491617 4516083 4529481 4685967 4699869 4740021 4849317 4902073 4918329 5036343 5086477 5089779 5154237 5269851 5353023 5409819 5727293 5731011 5793359 5926943 6011291 6091371 6220841 6299623 6306543 6440929 6592443 6612001 7004569 7063617 7329333 7351903 7413879 7445009 7612007 7692771 7707997 7814183 8347911 8372677 8436483 8453181 8661939 8761857 8771169 8872347 9109451 9206103 9499347 9527529 9970389 9990123 10019761 10096119 10311257 10365927 10453311 10485501 10971657 11259807 11368071 11401797 11931777 12186031 12339701 12353913 12776269 12784563 13265487 13409803 13474851 13588443 14099607 14583283 14706219 15099227 15109029 15259431 15625577 15847949 16059069 16213373 16400399 16608097 17181879 17232853 17380077 17431639 17780829 18033873 18466591 18662523 18898869 19161259 19322787 19627751 19777329 19836003 20366099 21013707 21076049 21190851 21987999 22055709 22241637 22335027 22836021 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5017854170901 5081131020471 5206613575449 5216918821543 5272270745379 5475609011041 5709971987577 5911671423141 5936493831411 6004973024193 6230865426357 6283391162301 6656448925269 6676196813583 6833245165461 6986520772803 7074999497709 7225376183839 7321629738159 7425825919083 7597051546491 7679700309479 7684685758233 7890050779689 7973764846317 8539080944537 8652835145097 8978333645853 9076009456657 9081901350639 9285285223489 9392393704507 9716885212749 9745712589943 10327872829989 10575687399563 10687896284439 10973518900487 11066024855391 11100101650781 11517660333569 11580397445331 11614753360617 12631150154337 12737629818441 13078029374553 13216788306909 13242947777763 13726526698911 13858508418183 13899622874181 14881895495181 15053562512703 15243393061413 15619840726347 15650756464629 15816812236137 16153852375111 16426827033123 17809481494233 18014919072579 18398798626637 18692596279071 19090916443313 19331659399723 20028590440749 21676128551517 22018234422041 22846506563309 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152895851615991 165589187639733 171818247989817 172158321110919 173984934597507 180695097364353 198164109798369 205618559069781 210000080876443 220314494848239 231239180543193 251311572196399 260371675729737 269273271481181 281789671169721 282625665108347 299508312069681 309948992248731 318232048114123 321608515468119 334012149673501 362126123716071 366303354475773 380082791007777 383286860900361 416827955093121 431574969360249 452975381064063 458687554847973 468461718878219 516474963332757 542085292093059 553636576856077 560618122591967 630000242629329 662548690335961 753934716589197 807819814443543 845369013509163 847876995325041 898524936209043 929846976746193 954696144342369 964825546404357 1002036449020503 1086378371148213 1098910063427319 1140248373023331 1179231223383103 1343112299744501 1393636900361849 1405385156634657 1660909730568231 1681854367775901 1890000727887987 1987646071007883 2261804149767591 2423459443330629 2543630985975123 2864088433027107 3006109347061509 3108882316191817 3500552529255353 3537693670149309 3674133646408511 4029336899233503 4180910701085547 4216155469903971 4982729191704693 5045563103327703 5962938213023649 6090002345416847 7288035593695571 9326646948575451 10501657587766059 10613081010447927 11022400939225533 12088010697700509 12542732103256641 15330005903980339 18270007036250541 21864106781086713 27979940845726353 31504972763298177 33067202817676599 34197705478109987 40415470110493621 45990017711941017 54810021108751623 65592320343260139 102593116434329961 121246410331480863 137970053135823051 307779349302989883 363739230994442589 444570171215429831 1333710513646289493 4001131540938868479
- Sum of all divisors σ(n): 7377911400728494080
- Sum of proper divisors (its aliquot sum) s(n): 3376779859789625601
- 4001131540938868479 is a deficient number, because the sum of its proper divisors (3376779859789625601) is less than itself. Its deficiency is 624351681149242878
Bases of 4001131540938868479
- Binary: 110111100001101101111111110000000001010100010111000110111111112
- Hexadecimal: 0x3786DFF00545C6FF
- Base-36: UECQRAPZZN5R
Squares and roots of 4001131540938868479
- 4001131540938868479 squared (40011315409388684792) is 16009053607895844167358929340859773441
- 4001131540938868479 cubed (40011315409388684793) is 64054329331133250944019484290174749669360917182836266239
-
The
square root of 4001131540938868479 is 2000282865.2315323173 -
The
cube root of 4001131540938868479 is 1587550.7219623347
Scales and comparisons
How big is 4001131540938868479?- 4,001,131,540,938,868,479 seconds is equal to 127,223,606,689 years, 20 weeks, 4 days, 14 hours, 34 minutes, 39 seconds.
-
To count from 1 to 4,001,131,540,938,868,479 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 4001131540938868479 cubic inches would be around 132295.9 feet tall.
Recreational maths with 4001131540938868479
- 4001131540938868479 backwards is 9748688390451311004
- The number of decimal digits it has is: 19
- The sum of 4001131540938868479's digits is 81
- More coming soon!
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MLA style:
"Number 4001131540938868479 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
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Numbermatics. (2024). Number 4001131540938868479 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/4001131540938868479/
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Numbermatics. 2024. "Number 4001131540938868479 - Facts about the integer". https://numbermatics.com/n/4001131540938868479/
The information we have on file for 4001131540938868479 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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