46938468864
46,938,468,864 is an even composite number composed of five prime numbers multiplied together.
46938468864 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 46938468864:
29 × 3 × 73 × 412 × 53
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 7 × 41 × 41 × 53)See below for interesting mathematical facts about the number 46938468864 from the Numbermatics database.
Names of 46938468864
- Cardinal: 46938468864 can be written as Forty-six billion, nine hundred thirty-eight million, four hundred sixty-eight thousand, eight hundred sixty-four.
Scientific notation
- Scientific notation: 4.6938468864 × 1010
Factors of 46938468864
Divisors of 46938468864
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 49 53 56 64 82 84 96 98 106 112 123 128 147 159 164 168 192 196 212 224 246 256 287 294 318 328 336 343 371 384 392 424 448 492 512 574 588 636 656 672 686 742 768 784 848 861 896 984 1029 1113 1148 1176 1272 1312 1344 1372 1484 1536 1568 1681 1696 1722 1792 1968 2009 2058 2173 2226 2296 2352 2544 2597 2624 2688 2744 2968 3136 3362 3392 3444 3584 3936 4018 4116 4346 4452 4592 4704 5043 5088 5194 5248 5376 5488 5936 6027 6272 6519 6724 6784 6888 7791 7872 8036 8232 8692 8904 9184 9408 10086 10176 10388 10496 10752 10976 11767 11872 12054 12544 13038 13448 13568 13776 14063 15211 15582 15744 16072 16464 17384 17808 18179 18368 18816 20172 20352 20776 20992 21952 23534 23744 24108 25088 26076 26896 27136 27552 28126 30422 31164 31488 32144 32928 34768 35301 35616 36358 36736 37632 40344 40704 41552 42189 43904 45633 47068 47488 48216 52152 53792 54537 55104 56252 60844 62328 62976 64288 65856 69536 70602 71232 72716 73472 75264 80688 81408 82369 83104 84378 87808 89093 91266 94136 94976 96432 104304 106477 107584 109074 110208 112504 121688 124656 128576 131712 139072 141204 142464 145432 146944 161376 164738 166208 168756 175616 178186 182532 188272 189952 192864 208608 212954 215168 218148 220416 225008 243376 247107 249312 257152 263424 267279 278144 282408 284928 290864 319431 322752 329476 332416 337512 356372 365064 376544 385728 417216 425908 430336 436296 440832 450016 486752 494214 498624 514304 526848 534558 556288 564816 569856 576583 581728 623651 638862 645504 658952 664832 675024 712744 730128 745339 753088 771456 834432 851816 860672 872592 900032 973504 988428 997248 1028608 1069116 1112576 1129632 1153166 1163456 1247302 1277724 1291008 1317904 1329664 1350048 1425488 1460256 1490678 1506176 1542912 1668864 1703632 1729749 1745184 1800064 1870953 1947008 1976856 1994496 2138232 2236017 2259264 2306332 2326912 2494604 2555448 2582016 2635808 2700096 2850976 2920512 2981356 3012352 3085824 3337728 3407264 3459498 3490368 3600128 3741906 3894016 3953712 3988992 4276464 4365557 4472034 4518528 4612664 4653824 4989208 5110896 5271616 5400192 5701952 5841024 5962712 6024704 6814528 6918996 6980736 7200256 7483812 7788032 7907424 8552928 8731114 8944068 9037056 9225328 9307648 9978416 10221792 10543232 10800384 11403904 11682048 11925424 13096671 13629056 13837992 13961472 14967624 15814848 17105856 17462228 17888136 18074112 18450656 19956832 20443584 21086464 21600768 22807808 23364096 23850848 26193342 27258112 27675984 27922944 29935248 30558899 31629696 34211712 34924456 35776272 36901312 39913664 40887168 42172928 45615616 47701696 52386684 54516224 55351968 59870496 61117798 63259392 68423424 69848912 71552544 73802624 79827328 81774336 91676697 95403392 104773368 110703936 119740992 122235596 126518784 136846848 139697824 143105088 147605248 159654656 163548672 183353394 190806784 209546736 221407872 239481984 244471192 279395648 286210176 295210496 319309312 366706788 381613568 419093472 442815744 478963968 488942384 558791296 572420352 733413576 838186944 885631488 957927936 977884768 1117582592 1144840704 1466827152 1676373888 1955769536 2235165184 2933654304 3352747776 3911539072 5867308608 6705495552 7823078144 11734617216 15646156288 23469234432 46938468864
- Sum of all divisors σ(n): 152291145600
- Sum of proper divisors (its aliquot sum) s(n): 105352676736
- 46938468864 is an abundant number, because the sum of its proper divisors (105352676736) is greater than itself. Its abundance is 58414207872
Bases of 46938468864
- Binary: 1010111011011100000000110010000000002
- Hexadecimal: 0xAEDC03200
- Base-36: LK9YADC
Squares and roots of 46938468864
- 46938468864 squared (469384688642) is 2203219859296697450496
- 46938468864 cubed (469384688643) is 103415766766144494218134677356544
-
The
square root of 46938468864 is 216652.8764267855 -
The
cube root of 46938468864 is 3607.2505330339
Scales and comparisons
How big is 46938468864?- 46,938,468,864 seconds is equal to 1,492 years, 25 weeks, 6 days, 7 hours, 34 minutes, 24 seconds.
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To count from 1 to 46,938,468,864 would take you about two thousand, nine hundred eighty-four 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 46938468864 cubic inches would be around 300.6 feet tall.
Recreational maths with 46938468864
- 46938468864 backwards is 46886483964
- The number of decimal digits it has is: 11
- The sum of 46938468864's digits is 66
- More coming soon!
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