6407428002048
6,407,428,002,048 is an even composite number composed of six prime numbers multiplied together.
6407428002048 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 6407428002048:
28 × 34 × 23 × 43 × 97 × 3221
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 23 × 43 × 97 × 3221)See below for interesting mathematical facts about the number 6407428002048 from the Numbermatics database.
Names of 6407428002048
- Cardinal: 6407428002048 can be written as Six trillion, four hundred seven billion, four hundred twenty-eight million, two thousand and forty-eight.
Scientific notation
- Scientific notation: 6.407428002048 × 1012
Factors of 6407428002048
Divisors of 6407428002048
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 43 46 48 54 64 69 72 81 86 92 96 97 108 128 129 138 144 162 172 184 192 194 207 216 256 258 276 288 291 324 344 368 384 387 388 414 432 516 552 576 582 621 648 688 736 768 774 776 828 864 873 989 1032 1104 1152 1161 1164 1242 1296 1376 1472 1548 1552 1656 1728 1746 1863 1978 2064 2208 2231 2304 2322 2328 2484 2592 2619 2752 2944 2967 3096 3104 3221 3312 3456 3483 3492 3726 3956 4128 4171 4416 4462 4644 4656 4968 5184 5238 5504 5888 5934 6192 6208 6442 6624 6693 6912 6966 6984 7452 7857 7912 8256 8342 8832 8901 8924 9288 9312 9663 9936 10368 10476 11008 11868 12384 12416 12513 12884 13248 13386 13932 13968 14904 15714 15824 16512 16684 17664 17802 17848 18576 18624 19326 19872 20079 20736 20952 23736 24768 24832 25026 25768 26496 26703 26772 27864 27936 28989 29808 31428 31648 33024 33368 35604 35696 37152 37248 37539 38652 39744 40158 41904 47472 49536 50052 51536 52992 53406 53544 55728 55872 57978 59616 60237 62856 63296 66736 71208 71392 74083 74304 74496 75078 77304 79488 80109 80316 83808 86967 94944 95933 99072 100104 103072 106812 107088 111456 111744 112617 115956 119232 120474 125712 126592 133472 138503 142416 142784 148166 148608 150156 154608 158976 160218 160632 167616 173934 180711 189888 191866 200208 206144 213624 214176 222249 222912 223488 225234 231912 238464 240948 251424 253184 260901 266944 277006 284832 285568 287799 296332 297216 300312 309216 312437 320436 321264 335232 337851 347868 361422 379776 383732 400416 412288 415509 427248 428352 444498 445824 450468 463824 476928 481896 502848 521802 533888 554012 569664 571136 575598 592664 600624 618432 624874 640872 642528 666747 670464 675702 695736 722844 759552 767464 800832 824576 831018 854496 856704 863397 888996 891648 900936 927648 937311 963792 1005696 1043604 1067776 1108024 1139328 1151196 1185328 1201248 1236864 1246527 1249748 1281744 1285056 1333494 1351404 1391472 1445688 1534928 1601664 1662036 1708992 1713408 1726794 1777992 1801872 1855296 1874622 1927584 2000241 2011392 2087208 2216048 2278656 2302392 2370656 2402496 2473728 2493054 2499496 2563488 2570112 2590191 2666988 2702808 2782944 2811933 2891376 3069856 3185569 3203328 3324072 3417984 3453588 3555984 3603744 3710592 3739581 3749244 3855168 4000482 4174416 4432096 4604784 4741312 4804992 4986108 4998992 5126976 5140224 5180382 5333976 5405616 5565888 5623866 5782752 6000723 6139712 6371138 6648144 6835968 6907176 7111968 7186051 7207488 7421184 7479162 7498488 7710336 7770573 8000964 8348832 8435799 8864192 9209568 9482624 9556707 9609984 9972216 9997984 10253952 10360764 10667952 10811232 11131776 11218743 11247732 11565504 12001446 12279424 12742276 13296288 13434791 13814352 14223936 14372102 14414976 14958324 14996976 15420672 15541146 16001928 16697664 16871598 17728384 18419136 18965248 19113414 19944432 19995968 20507904 20721528 21335904 21558153 21622464 22263552 22437486 22495464 23131008 24002892 24558848 25307397 25484552 26592576 26869582 27628704 28447872 28670121 28744204 28829952 29916648 29993952 31082292 32003856 33395328 33743196 35456768 36838272 38226828 39888864 39991936 40304373 41443056 42671808 43116306 43244928 44874972 44990928 46262016 48005784 50614794 50969104 53185152 53739164 55257408 56895744 57340242 57488408 59833296 59987904 62164584 64007712 64674459 66790656 67486392 73676544 76453656 79777728 79983872 80608746 82886112 85343616 86010363 86232612 86489856 89749944 89981856 96011568 101229588 101938208 106370304 107478328 110514816 114680484 114976816 119666592 119975808 120913119 124329168 128015424 129348918 134972784 152907312 159555456 161217492 165772224 170687232 172020726 172465224 179499888 179963712 192023136 194023377 202459176 203876416 214956656 221029632 229360968 229953632 239333184 239951616 241826238 248658336 256030848 258031089 258697836 269945568 305814624 309000193 319110912 322434984 331544448 344041452 344930448 358999776 359927424 362739357 384046272 388046754 404918352 407752832 429913312 458721936 459907264 478666368 483652476 497316672 512061696 516062178 517395672 539891136 582070131 611629248 618000386 644869968 663088896 688082904 689860896 717999552 719854848 725478714 768092544 776093508 809836704 815505664 859826624 917443872 919814528 927000579 957332736 967304952 994633344 1032124356 1034791344 1079782272 1088218071 1164140262 1223258496 1236000772 1289739936 1376165808 1379721792 1435999104 1450957428 1536185088 1552187016 1619673408 1719653248 1834887744 1839629056 1854001158 1934609904 1989266688 2064248712 2069582688 2159564544 2176436142 2328280524 2446516992 2472001544 2579479872 2752331616 2759443584 2781001737 2871998208 2901914856 3104374032 3239346816 3439306496 3669775488 3708002316 3869219808 4128497424 4139165376 4352872284 4656561048 4944003088 5158959744 5504663232 5518887168 5562003474 5803829712 6208748064 6478693632 7339550976 7416004632 7738439616 8256994848 8278330752 8343005211 8705744568 9313122096 9888006176 10317919488 11009326464 11124006948 11607659424 12417496128 14832009264 15476879232 16513989696 16556661504 16686010422 17411489136 18626244192 19776012352 22018652928 22248013896 23215318848 24834992256 25029015633 29664018528 30953758464 33027979392 33372020844 34822978272 37252488384 39552024704 44496027792 46430637696 49669984512 50058031266 59328037056 66055958784 66744041688 69645956544 74504976768 79104049408 88992055584 92861275392 100116062532 118656074112 133488083376 139291913088 149009953536 177984111168 200232125064 237312148224 266976166752 278583826176 355968222336 400464250128 533952333504 711936444672 800928500256 1067904667008 1601857000512 2135809334016 3203714001024 6407428002048
- Sum of all divisors σ(n): 20616825753216
- Sum of proper divisors (its aliquot sum) s(n): 14209397751168
- 6407428002048 is an abundant number, because the sum of its proper divisors (14209397751168) is greater than itself. Its abundance is 7801969749120
Bases of 6407428002048
- Binary: 10111010011110110000111100001010001000000002
- Hexadecimal: 0x5D3D8785100
- Base-36: 29RJ57400
Squares and roots of 6407428002048
- 6407428002048 squared (64074280020482) is 41055133601428825092194304
- 6407428002048 cubed (64074280020483) is 263057812665616807518554598678925934592
-
The
square root of 6407428002048 is 2531289.7902152571 -
The
cube root of 6407428002048 is 18573.5354180719
Scales and comparisons
How big is 6407428002048?- 6,407,428,002,048 seconds is equal to 203,736 years, 20 weeks, 2 days, 7 hours, 40 minutes, 48 seconds.
-
To count from 1 to 6,407,428,002,048 would take you about five hundred nine thousand, three hundred forty 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 6407428002048 cubic inches would be around 1547.8 feet tall.
Recreational maths with 6407428002048
- 6407428002048 backwards is 8402008247046
- The number of decimal digits it has is: 13
- The sum of 6407428002048's digits is 45
- More coming soon!
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The information we have on file for 6407428002048 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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