400849842834144
400,849,842,834,144 is an even composite number composed of six prime numbers multiplied together.
What does the number 400849842834144 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 972 divisors.
400849842834144 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred seventy-two divisors.
Prime factorization of 400849842834144:
25 × 32 × 112 × 312 × 127 × 3072
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 11 × 11 × 31 × 31 × 127 × 307 × 307)See below for interesting mathematical facts about the number 400849842834144 from the Numbermatics database.
Names of 400849842834144
- Cardinal: 400849842834144 can be written as Four hundred trillion, eight hundred forty-nine billion, eight hundred forty-two million, eight hundred thirty-four thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 4.00849842834144 × 1014
Factors of 400849842834144
Divisors of 400849842834144
- Number of divisors d(n): 972
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 24 31 32 33 36 44 48 62 66 72 88 93 96 99 121 124 127 132 144 176 186 198 242 248 254 264 279 288 307 341 352 363 372 381 396 484 496 508 528 558 614 682 726 744 762 792 921 961 968 992 1016 1023 1056 1089 1116 1143 1228 1364 1397 1452 1488 1524 1584 1842 1922 1936 2032 2046 2178 2232 2286 2456 2728 2763 2794 2883 2904 2976 3048 3069 3168 3377 3684 3751 3844 3872 3937 4064 4092 4191 4356 4464 4572 4912 5456 5526 5588 5766 5808 6096 6138 6754 7368 7502 7688 7874 8184 8382 8649 8712 8928 9144 9517 9824 10131 10571 10912 11052 11176 11253 11532 11616 11811 12192 12276 12573 13508 14736 15004 15367 15376 15748 16368 16764 17298 17424 18288 19034 20262 21142 22104 22352 22506 23064 23622 24552 25146 27016 28551 29472 30008 30393 30734 30752 31496 31713 32736 33528 33759 34596 34848 35433 36576 37147 38068 38989 40524 42284 43307 44208 44704 45012 46101 46128 47244 49104 50292 54032 57102 60016 60786 61468 62992 63426 67056 67518 69192 70866 74294 76136 77978 81048 84568 85653 86614 88416 90024 92202 92256 94249 94488 95139 98208 100584 104687 108064 111441 114204 116281 116967 120032 121572 122047 122936 125984 126852 129921 134112 135036 138303 138384 141732 148588 152272 155956 162096 169136 171306 173228 180048 184404 188498 188976 190278 201168 209374 222882 228408 232562 233934 243144 244094 245872 253704 259842 270072 276606 276768 282747 283464 295027 297176 304544 311912 314061 324192 334323 338272 342612 346456 348843 350901 360096 366141 368808 376996 377952 380556 389763 402336 418748 428879 445764 456816 465124 467868 476377 486288 488188 491744 507408 519684 540144 553212 565494 566928 590054 594352 623824 628122 668646 685224 692912 697686 701802 732282 737616 753992 761112 779526 837496 848241 857758 885081 891528 913632 930248 935736 942183 952754 972576 976376 1014816 1036739 1039368 1046529 1080288 1098423 1106424 1130988 1133856 1151557 1180108 1188704 1208659 1247648 1256244 1286637 1337292 1342517 1370448 1385824 1395372 1403604 1429131 1464564 1475232 1507984 1522224 1559052 1674992 1696482 1715516 1770162 1783056 1860496 1871472 1884366 1905508 1952752 2073478 2078736 2093058 2196846 2212848 2261976 2303114 2360216 2417318 2512488 2573274 2655243 2674584 2685034 2740896 2790744 2807208 2858262 2921719 2929128 3015968 3044448 3110217 3118104 3245297 3349984 3392964 3431032 3454671 3540324 3566112 3625977 3720992 3742944 3768732 3811016 3859911 3905504 4027551 4146956 4157472 4186116 4287393 4393692 4425696 4523952 4606228 4717669 4720432 4834636 5024976 5146548 5310486 5349168 5370068 5581488 5614416 5716524 5843438 5858256 6220434 6236208 6490594 6785928 6862064 6909342 7080648 7251954 7537464 7622032 7719822 8055102 8293912 8372232 8574786 8765157 8787384 9047904 9212456 9330651 9435338 9440864 9669272 9735891 10049952 10293096 10364013 10620972 10698336 10740136 10877931 11162976 11228832 11404129 11433048 11686876 11716512 11969623 12082653 12440868 12472416 12981188 13295249 13571856 13724128 13818684 14153007 14161296 14503908 14767687 15074928 15244064 15439644 16110204 16587824 16744464 17149572 17530314 17574768 18424912 18661302 18870676 19338544 19471782 20586192 20728026 21241944 21480272 21755862 22808258 22866096 23373752 23939246 24165306 24881736 25962376 26295471 26590498 27143712 27637368 28306014 28322592 29007816 29207673 29535374 30149856 30879288 32138909 32220408 33175648 33488928 34212387 34299144 35060628 35149536 35698267 35908869 36849824 37322604 37468429 37741352 38677088 38943564 39885747 41172384 41456052 42459021 42483888 42960544 43511724 44303061 45616516 45732192 46747504 47878492 48330612 49763472 51924752 52590942 53180996 55274736 56612028 58015632 58415346 59070748 61758576 64277818 64440816 68424774 68598288 70121256 71396534 71817738 74645208 74936858 75482704 77887128 79771494 82912104 84918042 84967776 87023448 88606122 90573289 91233032 93495008 95756984 96416727 96661224 99526944 102637161 103849504 105181884 106361992 107094801 107726607 110549472 112405287 113224056 116031264 116830692 118141496 119657241 123517152 128555636 128881632 131665853 132909183 136849548 137196576 140242512 142793068 143635476 146247739 149290416 149873716 150965408 155774256 159542988 165824208 169836084 174046896 177212244 181146578 182466064 191513968 192833454 193322448 205274322 210363768 212723984 214189602 215453214 224810574 226448112 233661384 236282992 239314482 257111272 263331706 265818366 271719867 273699096 280485024 285586136 287270952 289250181 292495478 298580832 299747432 311548512 319085976 321284403 331648416 337215861 339672168 348093792 353527999 354424488 362293156 364932128 371058313 383027936 385666908 386644896 394997559 410548644 412152719 420727536 425447968 428379204 430906428 438743217 449621148 452896224 467322768 472565984 478628964 514222544 526663412 531636732 543439734 547398192 571172272 574541904 578500362 584990956 599494864 638171952 642568806 674431722 679344336 707055998 708848976 724586312 742116626 771333816 789995118 815159601 821097288 824305438 841455072 856758408 861812856 877486434 899242296 934645536 957257928 996306179 1028445088 1053326824 1060583997 1063273464 1086879468 1094796384 1113174939 1142344544 1149083808 1157000724 1169981912 1184992677 1198989728 1236458157 1276343904 1285137612 1316229651 1348863444 1358688672 1414111996 1417697952 1448324383 1449172624 1484233252 1542667632 1579990236 1630319202 1642194576 1648610876 1713516816 1723625712 1754972868 1798484592 1914515856 1992612358 2106653648 2121167994 2126546928 2173758936 2226349878 2314001448 2339963824 2369985354 2472916314 2570275224 2632459302 2697726888 2828223992 2896648766 2898345248 2968466504 2988918537 3085335264 3159980472 3181751991 3260638404 3284389152 3297221752 3339524817 3427033632 3447251424 3509945736 3596969184 3709374471 3829031712 3985224716 4081641443 4213307296 4242335988 4253093856 4344973149 4347517872 4452699756 4533679909 4628002896 4679927648 4739970708 4945832628 5140550448 5264918604 5395453776 5656447984 5793297532 5936933008 5977837074 6319960944 6363503982 6521276808 6594443504 6679049634 7019891472 7418748942 7970449432 8163282886 8484671976 8689946298 8695035744 8905399512 8966755611 9067359818 9256005792 9479941416 9891665256 10281100896 10529837208 10790907552 10959367969 11312895968 11502807703 11586595064 11873866016 11955674148 12244924329 12639921888 12727007964 13034919447 13042553616 13188887008 13358099268 13601039727 14039782944 14837497884 15940898864 16326565772 16969343952 17379892596 17810799024 17933511222 18134719636 18959882832 19783330512 21059674416 21918735938 23005615406 23173190128 23911348296 24489848658 25454015928 26069838894 26085107232 26716198536 27202079454 29674995768 31881797728 32653131544 32878103907 33938687904 34508423109 34759785192 35621598048 35867022444 36269439272 36734772987 37919765664 39566661024 40803119181 42119348832 43837471876 44898055873 46011230812 46346380256 47822696592 48979697316 50908031856 52139677788 53432397072 54404158908 59349991536 65306263088 65756207814 69016846218 69519570384 71734044888 72538878544 73469545974 81606238362 87674943752 89796111746 92022461624 95645393184 97959394632 98634311721 101816063712 103525269327 104279355576 106864794144 108808317816 118699983072 126530884733 130612526176 131512415628 134694167619 138033692436 139039140768 143468089776 145077757088 146939091948 163212476724 175349887504 179592223492 184044923248 195918789264 197268623442 207050538654 208558711152 217616635632 253061769466 263024831256 269388335238 276067384872 286936179552 293878183896 326424953448 350699775008 359184446984 368089846496 379592654199 391837578528 394537246884 404082502857 414101077308 417117422304 435233271264 506123538932 526049662512 538776670476 552134769744 587756367792 652849906896 718368893968 759185308398 789074493768 808165005714 828202154616 1012247077864 1052099325024 1077553340952 1104269539488 1138777962597 1175512735584 1305699813792 1391839732063 1436737787936 1518370616796 1578148987536 1616330011428 1656404309232 2024494155728 2155106681904 2277555925194 2783679464126 3036741233592 3156297975072 3232660022856 3312808618464 4048988311456 4175519196189 4310213363808 4555111850388 5567358928252 6073482467184 6465320045712 8351038392378 9110223700776 11134717856504 12146964934368 12526557588567 12930640091424 16702076784756 18220447401552 22269435713008 25053115177134 33404153569512 36440894803104 44538871426016 50106230354268 66808307139024 100212460708536 133616614278048 200424921417072 400849842834144
- Sum of all divisors σ(n): 1309147093328256
- Sum of proper divisors (its aliquot sum) s(n): 908297250494112
- 400849842834144 is an abundant number, because the sum of its proper divisors (908297250494112) is greater than itself. Its abundance is 507447407659968
Bases of 400849842834144
- Binary: 10110110010010010001000000111110110001010111000002
- Hexadecimal: 0x16C92207D8AE0
- Base-36: 3Y37VISC80
Squares and roots of 400849842834144
- 400849842834144 squared (4008498428341442) is 160680596500157945906292212736
- 400849842834144 cubed (4008498428341443) is 64408791853584821078609529911114199212457984
-
The
square root of 400849842834144 is 20021234.7979375139 -
The
cube root of 400849842834144 is 73732.7738579665
Scales and comparisons
How big is 400849842834144?- 400,849,842,834,144 seconds is equal to 12,745,785 years, 4 weeks, 5 days, 13 hours, 2 minutes, 24 seconds.
-
To count from 1 to 400,849,842,834,144 would take you about thirty-one million, eight hundred sixty-four thousand, four hundred sixty-two 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 400849842834144 cubic inches would be around 6144.4 feet tall.
Recreational maths with 400849842834144
- 400849842834144 backwards is 441438248948004
- The number of decimal digits it has is: 15
- The sum of 400849842834144's digits is 63
- More coming soon!
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The information we have on file for 400849842834144 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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