401121057617880128640
401,121,057,617,880,128,640 is an even composite number composed of six prime numbers multiplied together.
401121057617880128640 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 401121057617880128640:
27 × 32 × 5 × 53 × 1129 × 1163812900097
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 53 × 1129 × 1163812900097)See below for interesting mathematical facts about the number 401121057617880128640 from the Numbermatics database.
Names of 401121057617880128640
- Cardinal: 401121057617880128640 can be written as Four hundred one quintillion, one hundred twenty-one quadrillion, fifty-seven trillion, six hundred seventeen billion, eight hundred eighty million, one hundred twenty-eight thousand, six hundred forty.
Scientific notation
- Scientific notation: 4.0112105761788012864 × 1020
Factors of 401121057617880128640
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 13
- Sum of prime factors: 1163812901289
Divisors of 401121057617880128640
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 53 60 64 72 80 90 96 106 120 128 144 159 160 180 192 212 240 265 288 318 320 360 384 424 477 480 530 576 636 640 720 795 848 954 960 1060 1129 1152 1272 1440 1590 1696 1908 1920 2120 2258 2385 2544 2880 3180 3387 3392 3816 4240 4516 4770 5088 5645 5760 6360 6774 6784 7632 8480 9032 9540 10161 10176 11290 12720 13548 15264 16935 16960 18064 19080 20322 20352 22580 25440 27096 30528 33870 33920 36128 38160 40644 45160 50805 50880 54192 59837 61056 67740 72256 76320 81288 90320 101610 101760 108384 119674 135480 144512 152640 162576 179511 180640 203220 216768 239348 270960 299185 305280 325152 359022 361280 406440 433536 478696 538533 541920 598370 650304 718044 722560 812880 897555 957392 1077066 1083840 1196740 1300608 1436088 1625760 1795110 1914784 2154132 2167680 2393480 2692665 2872176 3251520 3590220 3829568 4308264 4786960 5385330 5744352 6503040 7180440 7659136 8616528 9573920 10770660 11488704 14360880 17233056 19147840 21541320 22977408 28721760 34466112 38295680 43082640 57443520 68932224 86165280 114887040 172330560 344661120 1163812900097 2327625800194 3491438700291 4655251600388 5819064500485 6982877400582 9310503200776 10474316100873 11638129000970 13965754801164 17457193501455 18621006401552 20948632201746 23276258001940 27931509602328 34914387002910 37242012803104 41897264403492 46552516003880 52371580504365 55863019204656 61682083705141 69828774005820 74484025606208 83794528806984 93105032007760 104743161008730 111726038409312 123364167410282 139657548011640 148968051212416 167589057613968 185046251115423 186210064015520 209486322017460 223452076818624 246728334820564 279315096023280 308410418525705 335178115227936 370092502230846 372420128031040 418972644034920 446904153637248 493456669641128 555138753346269 558630192046560 616820837051410 670356230455872 740185004461692 744840256062080 837945288069840 925231255577115 986913339282256 1110277506692538 1117260384093120 1233641674102820 1313944764209513 1340712460911744 1480370008923384 1675890576139680 1850462511154230 1973826678564512 2220555013385076 2234520768186240 2467283348205640 2627889528419026 2775693766731345 2960740017846768 3351781152279360 3700925022308460 3941834292628539 3947653357129024 4441110026770152 4934566696411280 5255779056838052 5551387533462690 5921480035693536 6569723821047565 6703562304558720 7401850044616920 7883668585257078 7895306714258048 8882220053540304 9869133392822560 10511558113676104 11102775066925380 11825502877885617 11842960071387072 13139447642095130 14803700089233840 15767337170514156 17764440107080608 19709171463142695 19738266785645120 21023116227352208 22205550133850760 23651005755771234 23685920142774144 26278895284190260 29607400178467680 31534674341028312 35528880214161216 39418342926285390 39476533571290240 42046232454704416 44411100267701520 47302011511542468 52557790568380520 59127514389428085 59214800356935360 63069348682056624 69639072503104189 71057760428322432 78836685852570780 84092464909408832 88822200535403040 94604023023084936 105115581136761040 118255028778856170 118429600713870720 126138697364113248 139278145006208378 157673371705141560 168184929818817664 177644401070806080 189208046046169872 208917217509312567 210231162273522080 236510057557712340 252277394728226496 278556290012416756 315346743410283120 348195362515520945 355288802141612160 378416092092339744 417834435018625134 420462324547044160 473020115115424680 504554789456452992 557112580024833512 626751652527937701 630693486820566240 696390725031041890 756832184184679488 835668870037250268 840924649094088320 946040230230849360 1044586087546562835 1114225160049667024 1253503305055875402 1261386973641132480 1392781450062083780 1513664368369358976 1671337740074500536 1892080460461698720 2089172175093125670 2228450320099334048 2507006610111750804 2522773947282264960 2785562900124167560 3133758262639688505 3342675480149001072 3784160920923397440 4178344350186251340 4456900640198668096 5014013220223501608 5571125800248335120 6267516525279377010 6685350960298002144 7568321841846794880 8356688700372502680 8913801280397336192 10028026440447003216 11142251600496670240 12535033050558754020 13370701920596004288 16713377400745005360 20056052880894006432 22284503200993340480 25070066101117508040 26741403841192008576 33426754801490010720 40112105761788012864 44569006401986680960 50140132202235016080 66853509602980021440 80224211523576025728 100280264404470032160 133707019205960042880 200560528808940064320 401121057617880128640
- Sum of all divisors σ(n): 1412505518331561404400
- Sum of proper divisors (its aliquot sum) s(n): 1011384460713681275760
- 401121057617880128640 is an abundant number, because the sum of its proper divisors (1011384460713681275760) is greater than itself. Its abundance is 610263403095801147120
Bases of 401121057617880128640
- Binary: 1010110111110101011000100010010101100010010101011110110011100100000002
- Hexadecimal: 0x15BEAC44AC4ABD9C80
- Base-36: 2CNJ2JT30MSKG0
Squares and roots of 401121057617880128640
- 401121057617880128640 squared (4011210576178801286402) is 160898102864486709980521398328182948249600
- 401121057617880128640 cubed (4011210576178801286403) is 64539617189713377365680193558853710584546212829117310828544000
-
The
square root of 401121057617880128640 is 20028006830.8826010505 -
The
cube root of 401121057617880128640 is 7374939.9293722813
Scales and comparisons
How big is 401121057617880128640?- 401,121,057,617,880,128,640 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 401,121,057,617,880,128,640 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 401121057617880128640 cubic inches would be around 614578.3 feet tall.
Recreational maths with 401121057617880128640
- 401121057617880128640 backwards is 046821088716750121104
- 401121057617880128640 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 401121057617880128640's digits is 72
- 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 401121057617880128640 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
APA style:
Numbermatics. (2024). Number 401121057617880128640 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/401121057617880128640/
Chicago style:
Numbermatics. 2024. "Number 401121057617880128640 - Facts about the integer". https://numbermatics.com/n/401121057617880128640/
The information we have on file for 401121057617880128640 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 401121057617880128640, math, Factors of 401121057617880128640, curriculum, school, college, exams, university, Prime factorization of 401121057617880128640, STEM, science, technology, engineering, physics, economics, calculator, four hundred one quintillion, one hundred twenty-one quadrillion, fifty-seven trillion, six hundred seventeen billion, eight hundred eighty million, one hundred twenty-eight thousand, six hundred forty.