46638906952968
46,638,906,952,968 is an even composite number composed of four prime numbers multiplied together.
46638906952968 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of four hundred twenty divisors.
Prime factorization of 46638906952968:
23 × 34 × 112 × 296
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 11 × 11 × 29 × 29 × 29 × 29 × 29 × 29)See below for interesting mathematical facts about the number 46638906952968 from the Numbermatics database.
Names of 46638906952968
- Cardinal: 46638906952968 can be written as Forty-six trillion, six hundred thirty-eight billion, nine hundred six million, nine hundred fifty-two thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 4.6638906952968 × 1013
Factors of 46638906952968
Divisors of 46638906952968
- Number of divisors d(n): 420
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 18 22 24 27 29 33 36 44 54 58 66 72 81 87 88 99 108 116 121 132 162 174 198 216 232 242 261 264 297 319 324 348 363 396 484 522 594 638 648 696 726 783 792 841 891 957 968 1044 1089 1188 1276 1452 1566 1682 1782 1914 2088 2178 2349 2376 2523 2552 2871 2904 3132 3267 3364 3509 3564 3828 4356 4698 5046 5742 6264 6534 6728 7018 7128 7569 7656 8613 8712 9251 9396 9801 10092 10527 11484 13068 14036 15138 17226 18502 18792 19602 20184 21054 22707 22968 24389 25839 26136 27753 28072 30276 31581 34452 37004 39204 42108 45414 48778 51678 55506 60552 63162 68121 68904 73167 74008 78408 83259 84216 90828 94743 97556 101761 103356 111012 126324 136242 146334 166518 181656 189486 195112 203522 206712 219501 222024 249777 252648 268279 272484 284229 292668 305283 333036 378972 407044 439002 499554 536558 544968 568458 585336 610566 658503 666072 707281 749331 757944 804837 814088 878004 915849 999108 1073116 1136916 1221132 1317006 1414562 1498662 1609674 1756008 1831698 1975509 1998216 2121843 2146232 2273832 2414511 2442264 2634012 2747547 2829124 2951069 2997324 3219348 3663396 3951018 4243686 4829022 5268024 5495094 5658248 5902138 5994648 6365529 6438696 7243533 7326792 7780091 7902036 8242641 8487372 8853207 9658044 10990188 11804276 12731058 14487066 15560182 15804072 16485282 16974744 17706414 19096587 19316088 20511149 21730599 21980376 23340273 23608552 25462116 26559621 28974132 31120364 32970564 35412828 38193174 41022298 43461198 46680546 50924232 53119242 57289761 57948264 61533447 62240728 65941128 70020819 70825656 76386348 79678863 82044596 85581001 86922396 93361092 106238484 114579522 123066894 140041638 152772696 159357726 164089192 171162002 173844792 184600341 186722184 210062457 212476968 225622639 229159044 239036589 246133788 256743003 280083276 318715452 342324004 369200682 420124914 451245278 458318088 478073178 492267576 513486006 553801023 560166552 594823321 630187371 637430904 676867917 684648008 738401364 770229009 840249828 902490556 956146356 1026972012 1107602046 1189646642 1260374742 1353735834 1476802728 1540458018 1661403069 1680499656 1784469963 1804981112 1912292712 2030603751 2053944024 2215204092 2310687027 2379293284 2481849029 2520749484 2707471668 3080916036 3322806138 3568939926 4061207502 4430408184 4621374054 4758586568 4963698058 5041498968 5353409889 5414943336 6091811253 6161832072 6543056531 6645612276 6932061081 7137879852 7445547087 8122415004 9242748108 9927396116 10706819778 12183622506 13086113062 13291224552 13864122162 14275759704 14891094174 16060229667 16244830008 18275433759 18485496216 19629169593 19854792232 21413639556 22336641261 24367245012 26172226124 27728244324 29782188348 32120459334 36550867518 39258339186 42827279112 44673282522 48180689001 48734490024 52344452248 55456488648 58887508779 59564376696 64240918668 67009923783 71973621841 73101735036 78516678372 89346565044 96361378002 117775017558 128481837336 134019847566 143947243682 146203470072 157033356744 176662526337 178693130088 192722756004 201029771349 215920865523 235550035116 268039695132 287894487364 353325052674 385445512008 402059542698 431841731046 471100070232 529987579011 536079390264 575788974728 647762596569 706650105348 804119085396 863683462092 1059975158022 1295525193138 1413300210696 1608238170792 1727366924184 1943287789707 2119950316044 2591050386276 3886575579414 4239900632088 5182100772552 5829863369121 7773151158828 11659726738242 15546302317656 23319453476484 46638906952968
- Sum of all divisors σ(n): 148715496120345
- Sum of proper divisors (its aliquot sum) s(n): 102076589167377
- 46638906952968 is an abundant number, because the sum of its proper divisors (102076589167377) is greater than itself. Its abundance is 55437682214409
Bases of 46638906952968
- Binary: 10101001101010111101110111101101001101000010002
- Hexadecimal: 0x2A6AF77B4D08
- Base-36: GJ5M90OI0
Squares and roots of 46638906952968
- 46638906952968 squared (466389069529682) is 2175187641767606854164009024
- 46638906952968 cubed (466389069529683) is 101448374029645306516303694052455095583232
-
The
square root of 46638906952968 is 6829268.4053980481 -
The
cube root of 46638906952968 is 35995.6031031691 - Being both a perfect square and a perfect cube, 46638906952968 is also a
perfect sixth number .
Scales and comparisons
How big is 46638906952968?- 46,638,906,952,968 seconds is equal to 1,482,972 years, 50 weeks, 5 days, 19 hours, 22 minutes, 48 seconds.
-
To count from 1 to 46,638,906,952,968 would take you about three million, seven hundred seven thousand, four hundred thirty-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 46638906952968 cubic inches would be around 2999.6 feet tall.
Recreational maths with 46638906952968
- 46638906952968 backwards is 86925960983664
- 46638906952968 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 46638906952968's digits is 81
- More coming soon!
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