442157284415844140
442,157,284,415,844,140 is an even composite number composed of nine prime numbers multiplied together.
What does the number 442157284415844140 look like?
This visualization shows the relationship between its 9 prime factors (large circles) and 768 divisors.
442157284415844140 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 442157284415844140:
22 × 5 × 11 × 13 × 17 × 41 × 313 × 61681 × 11489
(2 × 2 × 5 × 11 × 13 × 17 × 41 × 313 × 61681 × 11489)See below for interesting mathematical facts about the number 442157284415844140 from the Numbermatics database.
Names of 442157284415844140
- Cardinal: 442157284415844140 can be written as Four hundred forty-two quadrillion, one hundred fifty-seven trillion, two hundred eighty-four billion, four hundred fifteen million, eight hundred forty-four thousand, one hundred forty.
Scientific notation
- Scientific notation: 4.4215728441584414 × 1017
Factors of 442157284415844140
Divisors of 442157284415844140
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 4 5 10 11 13 17 20 22 26 34 41 44 52 55 65 68 82 85 110 130 143 164 170 187 205 220 221 260 286 313 340 374 410 442 451 533 572 626 697 715 748 820 884 902 935 1066 1105 1252 1394 1430 1565 1804 1870 2132 2210 2255 2431 2665 2788 2860 3130 3443 3485 3740 4069 4420 4510 4862 5321 5330 5863 6260 6886 6970 7667 8138 9020 9061 9724 10642 10660 11489 11726 12155 12833 13772 13940 15334 16276 17215 18122 20345 21284 22978 23452 24310 25666 26605 29315 30668 34430 36244 38335 40690 44759 45305 45956 48620 51332 53210 57445 58531 58630 61681 64165 68860 69173 76670 81380 89518 90610 99671 106420 114890 117062 117260 123362 126379 128330 138346 141163 149357 153340 166829 179036 181220 195313 199342 218161 223795 229780 234124 246724 252758 256660 276692 282326 292655 298714 308405 333658 345865 390626 398684 436322 447590 471049 498355 505516 564652 585310 597428 616810 631895 667316 678491 691730 705815 746785 760903 781252 801853 834145 872644 895180 942098 976565 996710 1048577 1090805 1170620 1233620 1263790 1356982 1383460 1411630 1493570 1521806 1603706 1642927 1668290 1835119 1884196 1953130 1993420 2097154 2148443 2181610 2355245 2399771 2527580 2528921 2539069 2713964 2823260 2836093 2987140 3043612 3207412 3285854 3336580 3392455 3596057 3670238 3804515 3906260 4009265 4194308 4296886 4363220 4710490 4799542 5057842 5078138 5181539 5242885 5672186 6123637 6571708 6784910 7192114 7340476 7609030 8007833 8018530 8214635 8593772 8820383 9175595 9420980 9599084 10115684 10156276 10363078 10485770 10742215 11344372 11534347 11998855 12247274 12644605 12695345 13569820 13631501 14180465 14384228 15218060 16015666 16037060 16429270 17640766 17980285 18351190 19306153 20726156 20971540 21484430 23068694 23997710 24494548 25289210 25390690 25907695 27263002 27818131 27929759 28360930 30618185 31197023 32031332 32858540 32875973 35281532 35960570 36702380 38612306 39556627 40039165 42968860 42991657 44101915 46137388 46748741 47995420 50578420 50781380 51815390 54526004 55636262 55859518 56721860 57671735 61132969 61236370 62394046 65751946 67360007 68157505 71921140 77224612 79113254 80078330 85983314 88086163 88203830 93497482 96530765 103630780 104101829 111272524 111719036 115343470 122265938 122472740 124788092 131503892 134720014 136315010 139090655 139648795 147438337 149946511 155985115 158226508 160156660 164379865 171966628 176172326 176407660 186994964 193061530 197783135 208203658 212367683 214958285 230686940 233743705 244531876 250979989 269440028 272630020 278181310 279297590 294876674 299893022 305664845 311970230 328204601 328759730 336800035 352344652 361635703 386123060 395566270 416407316 424735366 429916570 440430815 467487410 472908227 501959978 514236151 520509145 556362620 558595180 558891541 589753348 599786044 611329690 623940460 656409202 657519460 672462659 673600070 708653009 723271406 737191685 749732555 791132540 791552273 794728597 849470732 859833140 880861630 934974820 945816454 1003919956 1028472302 1041018290 1061838415 1117783082 1145120119 1222659380 1254899945 1312818404 1344925318 1347200140 1417306018 1446542812 1474383370 1499465110 1583104546 1589457194 1621821707 1641023005 1761723260 1808178515 1891632908 1916698381 2056944604 2082036580 2123676830 2235566164 2290240238 2364541135 2506451729 2509799890 2571180755 2689850636 2760779879 2794457705 2834612036 2948766740 2998930220 3166209092 3178914388 3243643414 3282046010 3362313295 3543265045 3610250611 3616357030 3833396762 3957761365 3973642985 4247353660 4266659813 4580480476 4729082270 5012903458 5019599780 5142361510 5521559758 5588915410 5725600595 6147806951 6487286828 6564092020 6724626590 7086530090 7220501222 7232714060 7666793524 7795183099 7915522730 7947285970 8109108535 8533319626 8707075003 8742014567 9212489117 9458164540 9583491905 10025806916 10284723020 10290179549 11043119516 11177830820 11451201190 12047101153 12295613902 12532258645 13449253180 13456388641 13803899395 14173060180 14441002444 15590366198 15831045460 15894571940 16218217070 17066639252 17414150006 17484029134 18051253055 18424978234 19166983810 20580359098 21083682191 21333299065 22902402380 24094202306 24591227804 25064517290 26912777282 27570969019 27607798790 29054773369 30739034755 31180732396 32436434140 32583872477 34828300012 34968058268 36102506110 36849956468 38333967620 38975915495 41160718196 42167364382 42666598130 43535375015 43710072835 46062445585 46933257943 48188404612 50129034580 51450897745 53825554564 55141938038 55215597580 58109546738 60235505765 61478069510 65167744954 67281943205 72205012220 77951830990 84334728764 85333196260 87070750030 87420145670 92124891170 93866515886 101337380287 102901795490 105418410955 110283876076 113191975039 116219093476 120471011530 122956139020 130335489908 132518112683 134563886410 137854845095 145273866845 148020275051 155903661980 156612314989 162919362385 174141500060 174840291340 174933052333 184249782340 187733031772 202674760574 205803590980 210836821910 221808391817 226383950078 234666289715 240942023060 265036225366 269127772820 275709690190 290547733690 296040550102 313224629978 319602507059 325838724770 349866104666 358422597247 377712053797 405349521148 421673643820 443616783634 452767900156 469332579430 493931147273 506686901435 530072450732 551419380380 565959875195 581095467380 592081100204 626449259956 639205014118 651677449540 662590563415 699732209332 716845194494 740101375255 755424107594 783061574945 874665261665 887233567268 938665158860 987862294546 1013373802870 1109041959085 1131919750390 1278410028236 1325181126830 1433690388988 1480202750510 1510848215188 1566123149890 1598012535295 1722735464879 1749330523330 1792112986235 1888560268985 1924263575663 1975724589092 2026747605740 2218083918170 2263839500780 2439892309987 2469655736365 2650362253660 2883509093621 2960405501020 3132246299780 3196025070590 3445470929758 3498661046660 3584225972470 3770742660889 3777120537970 3848527151326 4154832591767 4436167836340 4879784619974 4939311472730 5433242620003 5767018187242 6392050141180 6421104914549 6890941859516 7168451944940 7541485321778 7554241075940 7697054302652 8309665183534 8613677324395 9094144064497 9621317878315 9759569239948 9878622945460 10866485240006 11534036374484 12199461549935 12842209829098 14417545468105 15082970643556 16619330367068 17227354648790 18188288128994 18853713304445 19242635756630 20774162958835 21732970480012 24398923099870 25684419658196 27166213100015 28835090936210 31718600029831 32105524572745 34454709297580 36376576257988 37707426608890 38485271513260 41478169269779 41548325917670 45470720322485 48797846199740 49019654591557 54332426200030 57670181872420 63437200059662 64211049145490 70632154060039 75414853217780 82956338539558 83096651835340 90941440644970 98039309183114 100035584709467 108664852400060 118223872838461 126874400119324 128422098290980 141264308120078 154600449096449 158593000149155 165912677079116 181882881289940 196078618366228 200071169418934 207390846348895 236447745676922 245098272957785 282528616240156 309200898192898 317186000298310 353160770300195 400142338837868 414781692697790 472895491353844 490196545915570 500177923547335 539216200507127 591119364192305 618401796385796 634372000596620 706321540600390 773002245482245 829563385395580 980393091831140 1000355847094670 1078432401014254 1182238728384610 1300462601223071 1412643081200780 1546004490964490 1700604940060939 2000711694189340 2009805838253837 2156864802028508 2364477456769220 2600925202446142 2696081002535635 3092008981928980 3401209880121878 4019611676507674 5201850404892284 5392162005071270 6502313006115355 6802419760243756 8039223353015348 8503024700304695 10049029191269185 10784324010142540 13004626012230710 17006049400609390 20098058382538370 22107864220792207 26009252024461420 34012098801218780 40196116765076740 44215728441584414 88431456883168828 110539321103961035 221078642207922070 442157284415844140
- Sum of all divisors σ(n): 1187103242900574720
- Sum of proper divisors (its aliquot sum) s(n): 744945958484730580
- 442157284415844140 is an abundant number, because the sum of its proper divisors (744945958484730580) is greater than itself. Its abundance is 302788674068886440
Bases of 442157284415844140
- Binary: 110001000101101101110110101001000000111010100101111001011002
- Hexadecimal: 0x622DBB520752F2C
- Base-36: 3CXNOCAQEZVW
Squares and roots of 442157284415844140
- 442157284415844140 squared (4421572844158441402) is 195503064161993687192357868772339600
- 442157284415844140 cubed (4421572844158441403) is 86443103944843668337927626348341164373512816749944000
-
The
square root of 442157284415844140 is 664949084.0777541367 -
The
cube root of 442157284415844140 is 761831.5040535837
Scales and comparisons
How big is 442157284415844140?- 442,157,284,415,844,140 seconds is equal to 14,059,233,962 years, 7 weeks, 3 days, 10 hours, 2 minutes, 20 seconds.
-
To count from 1 to 442,157,284,415,844,140 would take you about forty-two billion, one hundred seventy-seven million, seven hundred one thousand, eight hundred eighty-six 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 442157284415844140 cubic inches would be around 63486 feet tall.
Recreational maths with 442157284415844140
- 442157284415844140 backwards is 041448514482751244
- 442157284415844140 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 442157284415844140's digits is 68
- 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 442157284415844140 - Facts about the integer". Numbermatics.com. 2024. Web. 24 May 2024.
APA style:
Numbermatics. (2024). Number 442157284415844140 - Facts about the integer. Retrieved 24 May 2024, from https://numbermatics.com/n/442157284415844140/
Chicago style:
Numbermatics. 2024. "Number 442157284415844140 - Facts about the integer". https://numbermatics.com/n/442157284415844140/
The information we have on file for 442157284415844140 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 442157284415844140, math, Factors of 442157284415844140, curriculum, school, college, exams, university, Prime factorization of 442157284415844140, STEM, science, technology, engineering, physics, economics, calculator, four hundred forty-two quadrillion, one hundred fifty-seven trillion, two hundred eighty-four billion, four hundred fifteen million, eight hundred forty-four thousand, one hundred forty.