428993940195072
428,993,940,195,072 is an even composite number composed of five prime numbers multiplied together.
What does the number 428993940195072 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 972 divisors.
428993940195072 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred seventy-two divisors.
Prime factorization of 428993940195072:
28 × 32 × 73 × 232 × 10132
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 7 × 23 × 23 × 1013 × 1013)See below for interesting mathematical facts about the number 428993940195072 from the Numbermatics database.
Names of 428993940195072
- Cardinal: 428993940195072 can be written as Four hundred twenty-eight trillion, nine hundred ninety-three billion, nine hundred forty million, one hundred ninety-five thousand and seventy-two.
Scientific notation
- Scientific notation: 4.28993940195072 × 1014
Factors of 428993940195072
Divisors of 428993940195072
- Number of divisors d(n): 972
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 32 36 42 46 48 49 56 63 64 69 72 84 92 96 98 112 126 128 138 144 147 161 168 184 192 196 207 224 252 256 276 288 294 322 336 343 368 384 392 414 441 448 483 504 529 552 576 588 644 672 686 736 768 784 828 882 896 966 1008 1013 1029 1058 1104 1127 1152 1176 1288 1344 1372 1449 1472 1568 1587 1656 1764 1792 1932 2016 2026 2058 2116 2208 2254 2304 2352 2576 2688 2744 2898 2944 3039 3087 3136 3174 3312 3381 3528 3703 3864 4032 4052 4116 4232 4416 4508 4704 4761 5152 5376 5488 5796 5888 6078 6174 6272 6348 6624 6762 7056 7091 7406 7728 7889 8064 8104 8232 8464 8832 9016 9117 9408 9522 10143 10304 10976 11109 11592 12156 12348 12544 12696 13248 13524 14112 14182 14812 15456 15778 16128 16208 16464 16928 17664 18032 18234 18816 19044 20286 20608 21273 21952 22218 23184 23299 23667 24312 24696 25392 25921 26496 27048 28224 28364 29624 30912 31556 32416 32928 33327 33856 36064 36468 37632 38088 40572 41216 42546 43904 44436 46368 46598 47334 48624 49392 49637 50784 51842 52992 54096 56448 56728 59248 61824 63112 63819 64832 65856 66654 67712 69897 71001 72128 72936 76176 77763 81144 85092 87808 88872 92736 93196 94668 97248 98784 99274 101568 103684 108192 112896 113456 118496 123648 126224 127638 129664 131712 133308 135424 139794 142002 144256 145872 148911 152352 155526 162288 163093 170184 177744 181447 185472 186392 189336 194496 197568 198548 203136 207368 209691 216384 226912 233289 236992 252448 255276 259328 263424 266616 279588 284004 288512 291744 297822 304704 311052 324576 326186 340368 347459 355488 362894 370944 372784 378672 388992 395136 397096 406272 414736 419382 432768 446733 453824 466578 473984 489279 504896 510552 533232 535877 544341 559176 568008 583488 595644 609408 622104 649152 652372 680736 694918 710976 725788 745568 757344 777984 790272 794192 829472 838764 865536 893466 907648 933156 947968 978558 1009792 1021104 1026169 1042377 1066464 1071754 1088682 1118352 1136016 1141651 1166976 1191288 1218816 1244208 1298304 1304744 1361472 1389836 1421952 1451576 1467837 1491136 1514688 1588384 1607631 1633023 1658944 1677528 1786932 1815296 1866312 1957116 2019584 2042208 2052338 2084754 2132928 2143508 2177364 2236704 2272032 2283302 2333952 2382576 2488416 2596608 2609488 2722944 2779672 2843904 2903152 2935674 2982272 3029376 3078507 3127131 3176768 3215262 3266046 3317888 3355056 3424953 3573864 3732624 3751139 3914232 4084416 4104676 4169508 4265856 4287016 4354728 4473408 4544064 4566604 4765152 4822893 4976832 5218976 5445888 5559344 5806304 5871348 5964544 6058752 6157014 6254262 6353536 6430524 6532092 6635776 6710112 6849906 7147728 7183183 7465248 7502278 7828464 7991557 8168832 8209352 8339016 8531712 8574032 8709456 8946816 9088128 9133208 9235521 9530304 9645786 9953664 10274859 10437952 11118688 11253417 11612608 11742696 12314028 12508524 12707072 12861048 13064184 13420224 13699812 14295456 14366366 14930496 15004556 15656928 15983114 16337664 16418704 16678032 17148064 17418912 17893632 18176256 18266416 18471042 19060608 19291572 19907328 20549718 20875904 21549549 22237376 22506834 23225216 23485392 23601887 23974671 24628056 25017048 25722096 26128368 26257973 26840448 27399624 28590912 28732732 29860992 30009112 31313856 31966228 32837408 33356064 33760251 34296128 34837824 36532832 36942084 38121216 38583144 41099436 41751808 43099098 44474752 45013668 46450432 46970784 47203774 47949342 49256112 50034096 50282281 51444192 52256736 52515946 53680896 54799248 57181824 57465464 59721984 60018224 62627712 63932456 64648647 65674816 66712128 67520502 68592256 69675648 70805661 71924013 73065664 73884168 77166288 78773919 82198872 86198196 88949504 90027336 93941568 94407548 95898684 98512224 100068192 100564562 102888384 104513472 105031892 109598496 114363648 114930928 120036448 125255424 127864912 129297294 131349632 133424256 135041004 137184512 139351296 141611322 143848026 146131328 147768336 150846843 154332576 157547838 164397744 165213209 172396392 180054672 183805811 187883136 188815096 191797368 197024448 200136384 201129124 205776768 209026944 210063784 212416983 219196992 229861856 236321757 240072896 255729824 258594588 262699264 266848512 270082008 283222644 287696052 292262656 295536672 301693686 308665152 315095676 328795488 330426418 344792784 351975967 360109344 367611622 375766272 377630192 383594736 394048896 400272768 402258248 411553536 418053888 420127568 424833966 438393984 452540529 459723712 472643514 480145792 495639627 511459648 517189176 540164016 542843401 551417433 566445288 575392104 591073344 603387372 617330304 630191352 657590976 660852836 689585568 703951934 720218688 735223244 755260384 767189472 788097792 800545536 804516496 840255136 849667932 876787968 905081058 919447424 945287028 960291584 991279254 1022919296 1034378352 1055927901 1080328032 1085686802 1102834866 1132890576 1150784208 1156492463 1182146688 1206774744 1234660608 1260382704 1315181952 1321705672 1379171136 1407903868 1440437376 1470446488 1486918881 1510520768 1534378944 1609032992 1628530203 1654252299 1680510272 1699335864 1810162116 1838894848 1890574056 1982558508 2045838592 2068756704 2111855802 2160656064 2171373604 2205669732 2265781152 2301568416 2312984926 2364293376 2413549488 2520765408 2630363904 2643411344 2758342272 2815807736 2880874752 2940892976 2973837762 3021041536 3068757888 3167783703 3218065984 3257060406 3308504598 3361020544 3398671728 3469477389 3620324232 3781148112 3799903807 3965117016 4137513408 4223711604 4321312128 4342747208 4411339464 4531562304 4603136832 4625969852 4827098976 4885590609 5041530816 5286822688 5516684544 5631615472 5881785952 5947675524 6042083072 6137515776 6335567406 6436131968 6514120812 6617009196 6722041088 6797343456 6938954778 7240648464 7562296224 7599807614 7930234032 8095447241 8275026816 8447423208 8642624256 8685494416 8822678928 9063124608 9206273664 9251939704 9654197952 9771181218 10083061632 10408432167 10573645376 11263230944 11399711421 11763571904 11895351048 12671134812 12872263936 13028241624 13234018392 13594686912 13877909556 14481296928 15124592448 15199615228 15860468064 16190894482 16550053632 16894846416 17370988832 17645357856 18126249216 18412547328 18503879408 19308395904 19542362436 20166123264 20816864334 21147290752 22526461888 22799422842 23527143808 23790702096 24286341723 25342269624 26056483248 26468036784 26599326649 27189373824 27755819112 28962593856 30249184896 30399230456 31720936128 32381788964 33789692832 34199134263 34741977664 35290715712 37007758816 38616791808 39084724872 41633728668 42294581504 45052923776 45598845684 47054287616 47581404192 48572683446 50684539248 52112966496 52936073568 53198653298 54378747648 55511638224 57925187712 60498369792 60798460912 63441872256 64763577928 67579385664 68398268526 69483955328 70581431424 72859025169 74015517632 78169449744 79797979947 83267457336 90105847552 91197691368 95162808384 97145366892 101369078496 104225932992 105872147136 106397306596 111023276448 115850375424 121596921824 126883744512 129527155856 135158771328 136796537052 138967910656 141162862848 145718050338 148031035264 156338899488 159595959894 166534914672 182395382736 186195286543 190325616768 194290733784 202738156992 208451865984 211744294272 212794613192 222046552896 239393939841 243193843648 259054311712 270317542656 273593074104 291436100676 296062070528 312677798976 319191919788 333069829344 364790765472 372390573086 380651233536 388581467568 405476313984 416903731968 423488588544 425589226384 444093105792 478787879682 486387687296 518108623424 547186148208 558585859629 582872201352 625355597952 638383839576 666139658688 729581530944 744781146172 777162935136 810952627968 851178452768 888186211584 957575759364 972775374592 1036217246848 1094372296416 1117171719258 1165744402704 1250711195904 1276767679152 1332279317376 1459163061888 1489562292344 1554325870272 1675757578887 1702356905536 1915151518728 2072434493696 2188744592832 2234343438516 2331488805408 2553535358304 2664558634752 2918326123776 2979124584688 3108651740544 3351515157774 3404713811072 3830303037456 4377489185664 4468686877032 4662977610816 5107070716608 5958249169376 6217303481088 6703030315548 6809427622144 7660606074912 8754978371328 8937373754064 9325955221632 10214141433216 11916498338752 13406060631096 15321212149824 17874747508128 18651910443264 20428282866432 23832996677504 26812121262192 30642424299648 35749495016256 47665993355008 53624242524384 61284848599296 71498990032512 107248485048768 142997980065024 214496970097536 428993940195072
- Sum of all divisors σ(n): 1509375159182800
- Sum of proper divisors (its aliquot sum) s(n): 1080381218987728
- 428993940195072 is an abundant number, because the sum of its proper divisors (1080381218987728) is greater than itself. Its abundance is 651387278792656
Bases of 428993940195072
- Binary: 11000011000101010111011110110101010000111000000002
- Hexadecimal: 0x1862AEF6A8700
- Base-36: 482D3FP340
Squares and roots of 428993940195072
- 428993940195072 squared (4289939401950722) is 184035800724093011765413085184
- 428993940195072 cubed (4289939401950723) is 78950243289583745762561187131742446313013248
-
The
square root of 428993940195072 is 20712168.8916219491 -
The
cube root of 428993940195072 is 75419.5122076519
Scales and comparisons
How big is 428993940195072?- 428,993,940,195,072 seconds is equal to 13,640,680 years, 17 weeks, 2 days, 3 hours, 31 minutes, 12 seconds.
-
To count from 1 to 428,993,940,195,072 would take you about thirty-four million, one hundred one thousand, seven hundred 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 428993940195072 cubic inches would be around 6285 feet tall.
Recreational maths with 428993940195072
- 428993940195072 backwards is 270591049399824
- 428993940195072 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 428993940195072's digits is 72
- More coming soon!
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The information we have on file for 428993940195072 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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