7428402090144
7,428,402,090,144 is an even composite number composed of seven prime numbers multiplied together.
7428402090144 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 7428402090144:
25 × 32 × 72 × 17 × 41 × 773 × 977
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 17 × 41 × 773 × 977)See below for interesting mathematical facts about the number 7428402090144 from the Numbermatics database.
Names of 7428402090144
- Cardinal: 7428402090144 can be written as Seven trillion, four hundred twenty-eight billion, four hundred two million, ninety thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 7.428402090144 × 1012
Factors of 7428402090144
Divisors of 7428402090144
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 32 34 36 41 42 48 49 51 56 63 68 72 82 84 96 98 102 112 119 123 126 136 144 147 153 164 168 196 204 224 238 246 252 272 287 288 294 306 328 336 357 369 392 408 441 476 492 504 544 574 588 612 656 672 697 714 738 773 784 816 833 861 882 952 977 984 1008 1071 1148 1176 1224 1312 1394 1428 1476 1546 1568 1632 1666 1722 1764 1904 1954 1968 2009 2016 2091 2142 2296 2319 2352 2448 2499 2583 2788 2856 2931 2952 3092 3332 3444 3528 3808 3908 3936 4018 4182 4284 4592 4638 4704 4879 4896 4998 5166 5411 5576 5712 5862 5904 6027 6184 6273 6664 6839 6888 6957 7056 7497 7816 8036 8364 8568 8793 9184 9276 9758 9996 10332 10822 11152 11424 11724 11808 12054 12368 12546 13141 13328 13678 13776 13914 14112 14637 14994 15632 16072 16233 16609 16728 17136 17586 18081 18552 19516 19992 20517 20664 21644 22304 23448 24108 24736 25092 26282 26656 27356 27552 27828 29274 29988 31264 31693 32144 32466 33218 33456 34153 34272 35172 36162 37104 37877 39032 39423 39984 40057 41034 41328 43288 43911 46896 47873 48216 48699 49827 50184 52564 54712 55656 58548 59976 61551 63386 64288 64932 66436 66912 68306 70344 72324 74208 75754 78064 78846 79968 80114 82068 82656 86576 87822 91987 93792 95079 95746 96432 97398 99654 100368 102459 105128 109424 111312 113631 116263 117096 118269 119952 120171 123102 126772 129864 132872 136612 140688 143619 144648 149481 151508 156128 157692 160228 164136 173152 175644 183974 190158 191492 192864 194796 199308 200736 204918 210256 218848 221851 222624 227262 232526 234192 236538 239904 240342 246204 253544 259728 265744 273224 275961 280399 281376 285237 287238 289296 298962 303016 307377 315384 320456 328272 340893 348789 351288 360513 367948 380316 382984 389592 398616 409836 420512 430857 443702 454524 465052 468384 473076 480684 492408 507088 519456 531488 538781 546448 551922 560798 570474 574476 578592 597924 606032 614754 630768 640912 643909 656544 665553 680969 681786 697578 702576 721026 735896 755221 760632 765968 779184 797232 813841 819672 827883 841197 861714 887404 909048 930104 946152 961368 984816 1014176 1046367 1077562 1092896 1103844 1121596 1140948 1148952 1195848 1212064 1229508 1261536 1281824 1287818 1331106 1361938 1363572 1395156 1405152 1442052 1471792 1510442 1521264 1531936 1552957 1558368 1594464 1616343 1627682 1639344 1655766 1682394 1723428 1774808 1818096 1860208 1892304 1922736 1931727 1962793 1969632 1996659 2042907 2092734 2155124 2207688 2243192 2265663 2281896 2297904 2391696 2441523 2459016 2523591 2575636 2662212 2723876 2727144 2790312 2884104 2943584 3020884 3042528 3105914 3232686 3255364 3278688 3311532 3364788 3446856 3549616 3636192 3720416 3771467 3784608 3845472 3863454 3925586 3993318 4085814 4185468 4310248 4415376 4486384 4531326 4563792 4595808 4658871 4766783 4783392 4849029 4883046 4918032 5047182 5151272 5286547 5324424 5447752 5454288 5580624 5768208 5795181 5888379 6041768 6128721 6211828 6465372 6510728 6623064 6729576 6796989 6893712 7099232 7324569 7542934 7726908 7851172 7986636 8171628 8370936 8620496 8830752 8972768 9062652 9127584 9317742 9533566 9698058 9766092 9836064 10094364 10302544 10573094 10648848 10895504 10908576 11161248 11314401 11536416 11590362 11776758 12083536 12257442 12423656 12838757 12930744 13021456 13246128 13459152 13593978 13787424 13976613 14300349 14649138 15085868 15453816 15702344 15859641 15973272 16343256 16741872 17240992 17665137 18125304 18635484 19067132 19396116 19532184 20188728 20605088 21146188 21297696 21791008 22628802 23180724 23553516 24167072 24514884 24847312 25677514 25861488 26042912 26400269 26492256 26918304 27187956 27953226 28600698 29298276 30171736 30907632 30964061 31404688 31719282 31946544 32686512 33367481 33483744 33943203 35330274 36250608 37005829 37270968 38134264 38516271 38792232 39064368 40377456 42292376 42901047 45257604 46361448 47107032 47578923 49029768 49694624 51355028 51722976 52800538 54375912 55906452 57201396 58596552 60343472 61815264 61928122 62809376 63438564 63893088 65373024 66734962 67886406 70660548 72501216 74011658 74541936 76268528 77032542 77584464 78128736 79200807 80754912 84584752 85802094 89871299 90515208 92722896 92892183 94214064 95157846 98059536 100102443 102710056 105601076 108751824 111017487 111812904 114402792 115548813 117193104 120686944 123856244 126877128 133469924 135772812 141321096 148023316 149083872 152537056 154065084 155168928 158401614 169169504 171604188 179742598 181030416 185445792 185784366 188428128 190315692 196119072 200204886 205420112 211202152 216748427 217503648 222034974 223625808 228805584 231097626 234386208 237602421 247712488 253754256 266939848 269613897 271545624 278676549 282642192 296046632 300307329 308130168 316803228 333052461 343208376 359485196 362060832 371568732 380631384 400409772 410840224 422404304 433496854 444069948 447251616 457611168 462195252 475204842 495424976 507508512 526389037 533879696 539227794 543091248 557353098 565284384 592093264 600614658 616260336 629099093 633606456 650245281 666104922 686416752 718970392 743137464 761262768 800819544 808841691 844808608 866993708 888139896 924390504 950409684 990849952 1052778074 1067759392 1078455588 1086182496 1114706196 1184186528 1201229316 1232520672 1258198186 1267212912 1300490562 1332209844 1372833504 1437940784 1486274928 1517238989 1522525536 1579167111 1601639088 1617683382 1733987416 1776279792 1848781008 1887297279 1900819368 1950735843 2105556148 2156911176 2229412392 2402458632 2516396372 2534425824 2600981124 2664419688 2875881568 2972549856 3034477978 3158334222 3203278176 3235366764 3467974832 3552559584 3684723259 3697562016 3774594558 3801638736 3901471686 4211112296 4313822352 4458824784 4551716967 4737501333 4804917264 5032792744 5201962248 5328839376 5661891837 6068955956 6316668444 6470733528 6935949664 7369446518 7549189116 7603277472 7802943372 8422224592 8627644704 8917649568 9103433934 9475002666 9609834528 10065585488 10403924496 10657678752 11054169777 11323783674 12137911912 12633336888 12941467056 13655150901 14738893036 15098378232 15605886744 16844449184 18206867868 18950005332 20131170976 20807848992 22108339554 22647567348 24275823824 25266673776 25793062813 25882934112 27310301802 29477786072 30196756464 31211773488 33162509331 36413735736 37900010664 44216679108 45295134696 48551647648 50533347552 51586125626 54620603604 58955572144 60393512928 62423546976 66325018662 72827471472 75800021328 77379188439 88433358216 90590269392 103172251252 109241207208 117911144288 132650037324 145654942944 151600042656 154758376878 176866716432 181180538784 206344502504 218482414416 232137565317 265300074648 309516753756 353733432864 412689005008 436964828832 464275130634 530600149296 619033507512 825378010016 928550261268 1061200298592 1238067015024 1857100522536 2476134030048 3714201045072 7428402090144
- Sum of all divisors σ(n): 26715319250256
- Sum of proper divisors (its aliquot sum) s(n): 19286917160112
- 7428402090144 is an abundant number, because the sum of its proper divisors (19286917160112) is greater than itself. Its abundance is 11858515069968
Bases of 7428402090144
- Binary: 11011000001100011110100010010010000101000002
- Hexadecimal: 0x6C18F4490A0
- Base-36: 2MSK6T480
Squares and roots of 7428402090144
- 7428402090144 squared (74284020901442) is 55181157612855747901940736
- 7428402090144 cubed (74284020901443) is 409907826547903135279540906056417705984
-
The
square root of 7428402090144 is 2725509.5101914431 -
The
cube root of 7428402090144 is 19511.8508635249
Scales and comparisons
How big is 7428402090144?- 7,428,402,090,144 seconds is equal to 236,200 years, 10 weeks, 6 days, 1 hour, 2 minutes, 24 seconds.
-
To count from 1 to 7,428,402,090,144 would take you about five hundred ninety thousand, five 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 7428402090144 cubic inches would be around 1626 feet tall.
Recreational maths with 7428402090144
- 7428402090144 backwards is 4410902048247
- The number of decimal digits it has is: 13
- The sum of 7428402090144's digits is 45
- More coming soon!
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The information we have on file for 7428402090144 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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