448728742456896
448,728,742,456,896 is an even composite number composed of seven prime numbers multiplied together.
448728742456896 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of six hundred seventy-two divisors.
Prime factorization of 448728742456896:
26 × 3 × 112 × 31 × 61 × 73 × 139921
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 11 × 11 × 31 × 61 × 73 × 139921)See below for interesting mathematical facts about the number 448728742456896 from the Numbermatics database.
Names of 448728742456896
- Cardinal: 448728742456896 can be written as Four hundred forty-eight trillion, seven hundred twenty-eight billion, seven hundred forty-two million, four hundred fifty-six thousand, eight hundred ninety-six.
Scientific notation
- Scientific notation: 4.48728742456896 × 1014
Factors of 448728742456896
Divisors of 448728742456896
- Number of divisors d(n): 672
-
Complete list of divisors:
1 2 3 4 6 8 11 12 16 22 24 31 32 33 44 48 61 62 64 66 73 88 93 96 121 122 124 132 146 176 183 186 192 219 242 244 248 264 292 341 352 363 366 372 438 484 488 496 528 584 671 682 704 726 732 744 803 876 968 976 992 1023 1056 1168 1342 1364 1452 1464 1488 1606 1752 1891 1936 1952 1984 2013 2046 2112 2263 2336 2409 2684 2728 2904 2928 2976 3212 3504 3751 3782 3872 3904 4026 4092 4453 4526 4672 4818 5368 5456 5673 5808 5856 5952 6424 6789 7008 7381 7502 7564 7744 8052 8184 8833 8906 9052 9636 10736 10912 11253 11346 11616 11712 12848 13359 13578 14016 14762 15004 15128 16104 16368 17666 17812 18104 19272 20801 21472 21824 22143 22506 22692 23232 24893 25696 26499 26718 27156 29524 30008 30256 32208 32736 35332 35624 36208 38544 41602 42944 44286 45012 45384 48983 49786 51392 52998 53436 54312 59048 60016 60512 62403 64416 65472 70664 71248 72416 74679 77088 83204 88572 90024 90768 97966 99572 105996 106872 108624 118096 120032 121024 124806 128832 138043 139921 141328 142496 144832 146949 149358 154176 166408 177144 180048 181536 195932 199144 211992 213744 217248 228811 236192 240064 249612 273823 276086 279842 282656 284992 293898 298716 332816 354288 360096 363072 391864 398288 414129 419763 423984 427488 434496 457622 472384 499224 538813 547646 552172 559684 565312 587796 597432 665632 686433 708576 720192 783728 796576 821469 828258 839526 847968 854976 915244 998448 1077626 1095292 1104344 1119368 1175592 1194864 1331264 1372866 1417152 1518473 1539131 1567456 1593152 1616439 1642938 1656516 1679052 1695936 1830488 1996896 2155252 2190584 2208688 2238736 2351184 2389728 2745732 3036946 3078262 3134912 3232878 3285876 3313032 3358104 3660976 3993792 4310504 4337551 4381168 4417376 4477472 4555419 4617393 4702368 4779456 5491464 6073892 6156524 6465756 6571752 6626064 6716208 7321952 8535181 8621008 8675102 8762336 8834752 8954944 9110838 9234786 9404736 10214233 10982928 12147784 12313048 12931512 13012653 13143504 13252128 13432416 14643904 16703203 16930441 17070362 17242016 17350204 17524672 18221676 18469572 20428466 21965856 24295568 24626096 25605543 25863024 26025306 26287008 26504256 26864832 30642699 33406406 33860882 34140724 34484032 34700408 36443352 36939144 40856932 43931712 47713061 48591136 49252192 50109609 50791323 51211086 51726048 52050612 52574016 61285398 66812812 67721764 68281448 69400816 72886704 73878288 81713864 93886991 95426122 97182272 98504384 100219218 101582646 102422172 103452096 104101224 112356563 122570796 133625624 135443528 136562896 138801632 143139183 145773408 147756576 163427728 187773982 190852244 200438436 203165292 204844344 208202448 224713126 245141592 264590611 267251248 270887056 273125792 277603264 281660973 286278366 291546816 295513152 316641223 326855456 337069689 375547964 381704488 400876872 406330584 409688688 416404896 449426252 490283184 524843671 529181222 534502496 541774112 546251584 563321946 572556732 623068213 633282446 653710912 674139378 751095928 763408976 793771833 801753744 812661168 819377376 832809792 898852504 949923669 980566368 1032756901 1049687342 1058362444 1069004992 1083548224 1126643892 1145113464 1235922193 1246136426 1266564892 1348278756 1502191856 1526817952 1574531013 1587543666 1603507488 1625322336 1638754752 1797705008 1869204639 1899847338 1961132736 2065513802 2099374684 2116724888 2253287784 2290226928 2471844386 2492272852 2533129784 2696557512 2910496721 3004383712 3053635904 3098270703 3149062026 3175087332 3207014976 3250644672 3483053453 3595410016 3707766579 3738409278 3799694676 4131027604 4198749368 4233449776 4506575568 4580453856 4943688772 4984545704 5066259568 5393115024 5820993442 6008767424 6196541406 6298124052 6350174664 6853750343 6966106906 7190820032 7415533158 7476818556 7599389352 8262055208 8397498736 8466899552 8731490163 9013151136 9160907712 9887377544 9969091408 10132519136 10449160359 10786230048 11641986884 12393082812 12596248104 12700349328 13707500686 13932213812 14831066316 14953637112 15198778704 16524110416 16794997472 16933799104 17462980326 18026302272 19315114603 19774755088 19938182816 20265038272 20561251029 20898320718 21572460096 23283973768 24786165624 25192496208 25400698656 27415001372 27864427624 29662132632 29907274224 30397557408 32015463931 33048220832 33589994944 34925960652 38313587983 38630229206 39549510176 39876365632 41122502058 41796641436 46567947536 49572331248 50384992416 50801397312 54830002744 55728855248 57945343809 59324265264 59814548448 60795114816 64030927862 66096441664 69851921304 75391253773 76627175966 77260458412 79099020352 82245004116 83593282872 93135895072 96046391793 99144662496 100769984832 109660005488 111457710496 114940763949 115890687618 118648530528 119629096896 128061855724 139703842608 150782507546 153254351932 154520916824 164490008232 167186565744 186271790144 192092783586 198289324992 212466260633 219320010976 222915420992 226173761319 229881527898 231781375236 237297061056 256123711448 279407685216 301565015092 306508703864 309041833648 328980016464 334373131488 384185567172 424932521266 438640021952 452347522638 459763055796 463562750472 512247422896 558815370432 603130030184 613017407728 618083667296 637398781899 657960032928 668746262976 768371134344 849865042532 904695045276 919526111592 927125500944 1024494845792 1206260060368 1226034815456 1236167334592 1274797563798 1315920065856 1536742268688 1699730085064 1809390090552 1839052223184 1854251001888 2048989691584 2337128866963 2412520120736 2452069630912 2549595127596 3073484537376 3399460170128 3618780181104 3678104446368 3708502003776 4674257733926 4825040241472 5099190255192 6146969074752 6798920340256 7011386600889 7237560362208 7356208892736 9348515467852 10198380510384 13597840680512 14022773201778 14475120724416 18697030935704 20396761020768 28045546403556 37394061871408 40793522041536 56091092807112 74788123742816 112182185614224 149576247485632 224364371228448 448728742456896
- Sum of all divisors σ(n): 1387952952214528
- Sum of proper divisors (its aliquot sum) s(n): 939224209757632
- 448728742456896 is an abundant number, because the sum of its proper divisors (939224209757632) is greater than itself. Its abundance is 490495467300736
Bases of 448728742456896
- Binary: 11001100000011101110011010100101101101110010000002
- Hexadecimal: 0x1981DCD4B6E40
- Base-36: 4F274ZFC5C
Squares and roots of 448728742456896
- 448728742456896 squared (4487287424568962) is 201357484306947298818417954816
- 448728742456896 cubed (4487287424568963) is 90354890717340632408993768335736411355611136
-
The
square root of 448728742456896 is 21183218.4159276421 -
The
cube root of 448728742456896 is 76558.7139472173
Scales and comparisons
How big is 448728742456896?- 448,728,742,456,896 seconds is equal to 14,268,186 years, 8 hours, 41 minutes, 36 seconds.
-
To count from 1 to 448,728,742,456,896 would take you about thirty-five million, six hundred seventy thousand, four hundred sixty-five 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 448728742456896 cubic inches would be around 6379.9 feet tall.
Recreational maths with 448728742456896
- 448728742456896 backwards is 698654247827844
- The number of decimal digits it has is: 15
- The sum of 448728742456896's digits is 84
- More coming soon!
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The information we have on file for 448728742456896 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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