3384128290816
3,384,128,290,816 is an even composite number composed of seven prime numbers multiplied together.
3384128290816 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 3384128290816:
214 × 7 × 13 × 17 × 31 × 59 × 73
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 13 × 17 × 31 × 59 × 73)See below for interesting mathematical facts about the number 3384128290816 from the Numbermatics database.
Names of 3384128290816
- Cardinal: 3384128290816 can be written as Three trillion, three hundred eighty-four billion, one hundred twenty-eight million, two hundred ninety thousand, eight hundred sixteen.
Scientific notation
- Scientific notation: 3.384128290816 × 1012
Factors of 3384128290816
Divisors of 3384128290816
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 4 7 8 13 14 16 17 26 28 31 32 34 52 56 59 62 64 68 73 91 104 112 118 119 124 128 136 146 182 208 217 221 224 236 238 248 256 272 292 364 403 413 416 434 442 448 472 476 496 511 512 527 544 584 728 767 806 826 832 868 884 896 944 949 952 992 1003 1022 1024 1054 1088 1168 1241 1456 1534 1547 1612 1652 1664 1736 1768 1792 1829 1888 1898 1904 1984 2006 2044 2048 2108 2176 2263 2336 2482 2821 2912 3068 3094 3224 3304 3328 3472 3536 3584 3658 3689 3776 3796 3808 3968 4012 4088 4096 4216 4307 4352 4526 4672 4964 5369 5642 5824 6136 6188 6448 6608 6643 6656 6851 6944 7021 7072 7168 7316 7378 7552 7592 7616 7936 8024 8176 8192 8432 8614 8687 8704 9052 9344 9928 10738 11284 11648 12272 12376 12803 12896 13039 13216 13286 13312 13702 13888 14042 14144 14336 14632 14756 15104 15184 15232 15841 15872 16048 16133 16352 16384 16864 17228 17374 17408 18104 18688 19856 21476 22568 23296 23777 24544 24752 25606 25792 26078 26432 26572 26624 27404 27776 28084 28288 28672 29264 29419 29512 30149 30208 30368 30464 31093 31682 31744 32096 32266 32704 33728 34456 34748 34816 36208 37376 38471 39712 42952 45136 46592 47554 47957 49088 49504 51212 51584 52156 52864 53144 53248 54808 55552 55991 56168 56576 57344 58528 58838 59024 60298 60416 60736 60928 62186 63364 63488 64192 64532 65408 67456 68912 69496 69632 72416 73219 74752 76942 79424 85904 90272 91273 93184 95108 95914 98176 99008 102424 103168 104312 105728 106288 106496 109616 111104 111982 112336 112931 113152 114688 117056 117676 118048 120596 120832 121472 121856 124372 126728 126976 128384 129064 130816 133517 134912 137824 138992 139264 144832 146438 149504 153884 158848 166439 171808 180544 182546 186368 190216 191828 196352 198016 204848 205933 206336 208624 211456 212576 212992 217651 219232 222208 223964 224672 225862 226304 234112 235352 236096 241192 241664 242944 243712 248744 253456 253952 256768 258128 261632 267034 269297 269824 275648 277984 278528 289664 292876 299008 307768 317696 332878 343616 361088 365092 372736 380432 383656 391937 392704 396032 404209 409696 411866 412672 417248 422912 425152 435302 438464 444416 447928 449344 451724 452608 468224 470704 472192 482384 483328 485888 487424 497488 500123 506912 507904 512533 513536 516256 523264 534068 538594 539648 551296 555968 579328 585752 598016 615536 635392 665756 687232 722176 730184 745472 760864 767312 783874 785408 792064 808418 819392 823732 825344 834496 845824 850304 870604 876928 888832 895856 898688 903448 905216 934619 936448 941408 944384 951847 964768 966656 971776 974848 994976 1000246 1013824 1025066 1027072 1032512 1046528 1068136 1077188 1079296 1102592 1111936 1158656 1171504 1196032 1231072 1270784 1331512 1374464 1444352 1460368 1490944 1521728 1534624 1567748 1570816 1584128 1616836 1638784 1647464 1650688 1668992 1691648 1700608 1735721 1741208 1753856 1777664 1791712 1797376 1806896 1810432 1869238 1872896 1882816 1888768 1903694 1929536 1943552 1949696 1989952 2000492 2027648 2050132 2054144 2065024 2093056 2136272 2154376 2158592 2205184 2223872 2269789 2317312 2343008 2462144 2541568 2663024 2748928 2829463 2888704 2920736 3043456 3069248 3135496 3141632 3168256 3233672 3277568 3294928 3301376 3337984 3383296 3401216 3471442 3482416 3500861 3507712 3555328 3583424 3594752 3613792 3620864 3738476 3745792 3765632 3777536 3807388 3859072 3887104 3979904 4000984 4055296 4100264 4108288 4130048 4186112 4272544 4308752 4317184 4410368 4447744 4539578 4634624 4686016 4924288 5083136 5326048 5497856 5658926 5777408 5841472 6086912 6138496 6270992 6283264 6336512 6467344 6555136 6589856 6602752 6662929 6675968 6766592 6802432 6942884 6964832 7001722 7015424 7166848 7189504 7227584 7476952 7491584 7531264 7555072 7614776 7718144 7774208 7959808 8001968 8110592 8200528 8216576 8260096 8372224 8545088 8617504 8634368 8820736 8895488 9079156 9269248 9372032 9848576 10166272 10652096 10995712 11317852 11554816 11682944 12150047 12173824 12276992 12541984 12566528 12673024 12934688 13110272 13179712 13325858 13351936 13604864 13885768 13929664 14003444 14030848 14333696 14379008 14455168 14953904 14983168 15062528 15110144 15229552 15436288 15548416 15888523 15919616 16003936 16221184 16401056 16433152 16520192 17090176 17235008 17641472 17790976 18158312 18538496 18744064 19697152 20332544 21304192 21991424 22635704 23109632 23365888 24300094 24347648 24553984 25083968 25346048 25869376 26220544 26359424 26651716 26703872 27209728 27771536 27859328 28006888 28061696 28667392 28758016 28910336 29507257 29907808 29966336 30125056 30220288 30459104 30872576 31777046 31839232 32007872 32442368 32802112 33040384 34180352 34470016 35282944 35581952 36316624 37076992 37488128 39394304 42608384 43982848 45271408 46219264 46731776 48600188 48695296 49107968 50167936 51738752 52441088 52718848 53303432 53407744 54419456 55543072 55718656 56013776 56123392 57334784 57516032 57820672 59014514 59815616 60250112 60440576 60918208 61745152 63554092 63678464 64015744 64884736 65604224 66080768 68360704 68940032 70565888 71163904 72633248 74976256 78788608 85216768 87965696 90542816 93463552 97200376 97390592 98215936 100335872 103477504 104882176 105437696 106606864 106815488 108838912 111086144 111437312 112027552 112246784 114669568 115032064 115641344 118029028 119631232 120500224 121836416 123490304 127108184 127356928 128031488 129769472 131208448 132161536 136721408 137880064 142327808 145266496 149952512 157577216 170433536 181085632 186927104 194400752 194781184 196431872 200671744 206550799 206955008 209764352 210875392 213213728 213630976 222172288 222874624 224055104 229339136 231282688 236058056 239262464 241000448 243672832 246980608 254216368 254713856 256062976 259538944 262416896 264323072 273442816 275760128 290532992 299905024 315154432 340867072 362171264 373854208 388801504 389562368 392863744 401343488 413101598 413910016 421750784 426427456 444344576 445749248 448110208 458678272 462565376 472116112 478524928 482000896 487345664 493961216 508432736 509427712 512125952 524833792 546885632 551520256 581065984 599810048 630308864 681734144 724342528 747708416 777603008 785727488 802686976 826203196 827820032 843501568 852854912 888689152 891498496 896220416 917356544 925130752 944232224 957049856 974691328 1016865472 1024251904 1049667584 1093771264 1103040512 1162131968 1199620096 1363468288 1448685056 1495416832 1555206016 1605373952 1652406392 1655640064 1687003136 1705709824 1777378304 1782996992 1792440832 1850261504 1888464448 1914099712 1949382656 2033730944 2048503808 2099335168 2187542528 2206081024 2324263936 2726936576 2897370112 3110412032 3210747904 3304812784 3311280128 3374006272 3411419648 3554756608 3565993984 3584881664 3776928896 3828199424 3898765312 4067461888 4097007616 4198670336 4412162048 4648527872 5794740224 6220824064 6421495808 6609625568 6622560256 6822839296 7109513216 7169763328 7553857792 7656398848 7797530624 8134923776 8194015232 8397340672 9297055744 11589480448 12441648128 13219251136 13645678592 14219026432 14339526656 15107715584 15312797696 15595061248 16269847552 18594111488 23178960896 24883296256 26438502272 27291357184 28438052864 28679053312 30215431168 32539695104 37188222976 46357921792 49766592512 52877004544 54582714368 57358106624 60430862336 65079390208 99533185024 105754009088 109165428736 120861724672 130158780416 199066370048 211508018176 241723449344 260317560832 423016036352 483446898688 846032072704 1692064145408 3384128290816
- Sum of all divisors σ(n): 9385559285760
- Sum of proper divisors (its aliquot sum) s(n): 6001430994944
- 3384128290816 is an abundant number, because the sum of its proper divisors (6001430994944) is greater than itself. Its abundance is 2617302704128
Bases of 3384128290816
- Binary: 1100010011111011011100001111000000000000002
- Hexadecimal: 0x313EDC3C000
- Base-36: 176NALWXS
Squares and roots of 3384128290816
- 3384128290816 squared (33841282908162) is 11452324288701221469945856
- 3384128290816 cubed (33841282908163) is 38756134620993027553579352777342058496
-
The
square root of 3384128290816 is 1839600.0355555553 -
The
cube root of 3384128290816 is 15013.5112199431
Scales and comparisons
How big is 3384128290816?- 3,384,128,290,816 seconds is equal to 107,604 years, 42 weeks, 1 day, 12 hours, 20 minutes, 16 seconds.
-
To count from 1 to 3,384,128,290,816 would take you about two hundred sixty-nine thousand and twelve 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 3384128290816 cubic inches would be around 1251.1 feet tall.
Recreational maths with 3384128290816
- 3384128290816 backwards is 6180928214833
- The number of decimal digits it has is: 13
- The sum of 3384128290816's digits is 55
- More coming soon!
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The information we have on file for 3384128290816 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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