468990049825024
468,990,049,825,024 is an even composite number composed of six prime numbers multiplied together.
468990049825024 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred forty-eight divisors.
Prime factorization of 468990049825024:
28 × 7 × 13 × 19 × 432 × 7572
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 13 × 19 × 43 × 43 × 757 × 757)See below for interesting mathematical facts about the number 468990049825024 from the Numbermatics database.
Names of 468990049825024
- Cardinal: 468990049825024 can be written as Four hundred sixty-eight trillion, nine hundred ninety billion, forty-nine million, eight hundred twenty-five thousand and twenty-four.
Scientific notation
- Scientific notation: 4.68990049825024 × 1014
Factors of 468990049825024
Divisors of 468990049825024
- Number of divisors d(n): 648
-
Complete list of divisors:
1 2 4 7 8 13 14 16 19 26 28 32 38 43 52 56 64 76 86 91 104 112 128 133 152 172 182 208 224 247 256 266 301 304 344 364 416 448 494 532 559 602 608 688 728 757 817 832 896 988 1064 1118 1204 1216 1376 1456 1514 1634 1664 1729 1792 1849 1976 2128 2236 2408 2432 2752 2912 3028 3268 3328 3458 3698 3913 3952 4256 4472 4816 4864 5299 5504 5719 5824 6056 6536 6916 7396 7826 7904 8512 8944 9632 9841 10598 10621 11008 11438 11648 12112 12943 13072 13832 14383 14792 15652 15808 17024 17888 19264 19682 21196 21242 22876 23296 24037 24224 25886 26144 27664 28766 29584 31304 31616 32551 34048 35131 35776 38528 39364 42392 42484 45752 48074 48448 51772 52288 55328 57532 59168 62608 63232 65102 68887 70262 71552 74347 77056 78728 84784 84968 91504 96148 96896 100681 103544 104576 110656 115064 118336 125216 130204 137774 140524 143104 148694 157456 168259 169568 169936 183008 186979 192296 193792 201362 207088 209152 221312 227857 230128 236672 245917 250432 260408 275548 281048 297388 314912 336518 339136 339872 366016 373958 384592 402724 414176 423163 442624 455714 456703 460256 473344 491834 500864 520816 551096 562096 573049 594776 618469 629824 673036 678272 679744 732032 747916 769184 805448 828352 846326 911428 913406 920512 983668 1001728 1041632 1102192 1124192 1146098 1189552 1236938 1259648 1308853 1346072 1356544 1359488 1399693 1464064 1495832 1538368 1610896 1656704 1692652 1822856 1826812 1841024 1967336 2083264 2204384 2248384 2292196 2379104 2473876 2519296 2617706 2692144 2718976 2799386 2962141 2991664 3076736 3196921 3221792 3313408 3385304 3645712 3653624 3682048 3934672 4011343 4166528 4329283 4408768 4496768 4584392 4758208 4947752 5235412 5384288 5598772 5924282 5983328 6153472 6393842 6443584 6770608 7291424 7307248 7449637 7869344 8022686 8040097 8333056 8658566 8817536 8993536 9168784 9516416 9797851 9895504 10470824 10768576 10887931 11197544 11848564 11966656 12787684 12887168 13541216 14582848 14614496 14899274 15738688 16045372 16080194 17317132 17635072 18196009 18337568 19032832 19595702 19791008 20941648 21537152 21775862 22395088 23697128 23933312 24641107 25575368 25774336 26594167 27082432 29165696 29228992 29798548 31477376 32090744 32160388 34634264 36392018 36675136 39191404 39582016 41883296 43074304 43551724 44790176 47394256 47866624 49282214 51150736 52147459 53188334 54164864 56280679 58331392 58457984 59597096 62954752 64181488 64320776 69268528 72784036 73350272 76215517 78382808 79164032 83766592 87103448 89580352 94788512 98564428 102301472 104294918 106376668 108329728 112561358 116915968 119194192 127372063 128362976 128641552 138537056 141543103 145568072 146700544 152431034 156765616 158328064 167533184 172487749 174206896 179160704 186159169 189577024 197128856 204602944 208589836 212753336 225122716 238388384 254744126 256725952 257283104 277074112 283086206 291136144 304862068 313531232 320334391 335066368 344975498 345724171 348413792 358321408 372318338 379154048 394257712 409205888 417179672 425506672 450245432 468181033 476776768 509488252 513451904 514566208 554148224 566172412 582272288 609724136 627062464 640668782 689950996 691448342 696827584 744636676 758308096 788515424 818411776 834359344 851013344 900490864 936362066 953553536 990801721 1018976504 1026903808 1029132416 1059567601 1108296448 1132344824 1164544576 1219448272 1254124928 1281337564 1379901992 1382896684 1393655168 1489273352 1577030848 1668718688 1702026688 1800981728 1872724132 1907107072 1981603442 2037953008 2058264832 2119135202 2242340737 2264689648 2329089152 2420069197 2438896544 2508249856 2562675128 2759803984 2765793368 2787310336 2978546704 3154061696 3277267231 3337437376 3404053376 3601963456 3745448264 3963206884 4075906016 4238270404 4484681474 4529379296 4658178304 4840138394 4877793088 5125350256 5519607968 5531586736 5957093408 6086353429 6308123392 6554534462 6674874752 6808106752 7203926912 7416973207 7490896528 7926413768 8151812032 8476540808 8969362948 9058758592 9680276788 9755586176 10250700512 11039215936 11063173472 11914186816 12172706858 13109068924 13349749504 13774378813 14407853824 14833946414 14981793056 15852827536 16303624064 16953081616 17938725896 18117517184 19360553576 19511172352 20131784419 20501401024 22078431872 22126346944 23828373632 24345413716 26218137848 27548757626 29667892828 29963586112 31705655072 32607248128 33906163232 35877451792 36235034368 38721107152 40263568838 41002802048 42604474003 44156863744 44252693888 47656747264 48690827432 52436275696 55097515252 59335785656 59927172224 63411310144 67812326464 71754903584 77442214304 80527137676 82005604096 85208948006 88505387776 96420651691 97381654864 104872551392 110195030504 118671571312 119854344448 126822620288 135624652928 140922490933 143509807168 154884428608 161054275352 170417896012 192841303382 194763309728 209745102784 220390061008 237343142624 253645240576 261713197447 271249305856 281844981866 287019614336 309768857216 322108550704 340835792024 385682606764 389526619456 419490205568 440780122016 474686285248 523426394894 563689963732 574039228672 619537714432 644217101408 681671584048 771365213528 779053238912 838980411136 881560244032 949372570496 1046852789788 1127379927464 1288434202816 1363343168096 1542730427056 1558106477824 1763120488064 1831992382129 1898745140992 2093705579576 2254759854928 2576868405632 2726686336192 3085460854112 3526240976128 3663984764258 4187411159152 4509519709856 5153736811264 5453372672384 6170921708224 7327969528516 8374822318304 9019039419712 10906745344768 12341843416448 14655939057032 16749644636608 18038078839424 24683686832896 29311878114064 33499289273216 36076157678848 58623756228128 66998578546432 117247512456256 234495024912512 468990049825024
- Sum of all divisors σ(n): 1243327027400640
- Sum of proper divisors (its aliquot sum) s(n): 774336977575616
- 468990049825024 is an abundant number, because the sum of its proper divisors (774336977575616) is greater than itself. Its abundance is 305346927750592
Bases of 468990049825024
- Binary: 11010101010001011010000010101001010110001000000002
- Hexadecimal: 0x1AA8B4152B100
- Base-36: 4M8R1YP98G
Squares and roots of 468990049825024
- 468990049825024 squared (4689900498250242) is 219951666834878494053016600576
- 468990049825024 cubed (4689900498250243) is 103155143187986743813749258779547636097613824
-
The
square root of 468990049825024 is 21656178.0982938907 -
The
cube root of 468990049825024 is 77694.0706636105
Scales and comparisons
How big is 468990049825024?- 468,990,049,825,024 seconds is equal to 14,912,432 years, 46 weeks, 6 days, 16 hours, 17 minutes, 4 seconds.
-
To count from 1 to 468,990,049,825,024 would take you about thirty-seven million, two hundred eighty-one thousand and eighty-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 468990049825024 cubic inches would be around 6474.5 feet tall.
Recreational maths with 468990049825024
- 468990049825024 backwards is 420528940099864
- The number of decimal digits it has is: 15
- The sum of 468990049825024's digits is 70
- More coming soon!
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