48135870464
48,135,870,464 is an even composite number composed of six prime numbers multiplied together.
What does the number 48135870464 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 384 divisors.
48135870464 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 48135870464:
211 × 11 × 17 × 37 × 43 × 79
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 11 × 17 × 37 × 43 × 79)See below for interesting mathematical facts about the number 48135870464 from the Numbermatics database.
Names of 48135870464
- Cardinal: 48135870464 can be written as Forty-eight billion, one hundred thirty-five million, eight hundred seventy thousand, four hundred sixty-four.
Scientific notation
- Scientific notation: 4.8135870464 × 1010
Factors of 48135870464
Divisors of 48135870464
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 4 8 11 16 17 22 32 34 37 43 44 64 68 74 79 86 88 128 136 148 158 172 176 187 256 272 296 316 344 352 374 407 473 512 544 592 629 632 688 704 731 748 814 869 946 1024 1088 1184 1258 1264 1343 1376 1408 1462 1496 1591 1628 1738 1892 2048 2176 2368 2516 2528 2686 2752 2816 2923 2924 2992 3182 3256 3397 3476 3784 4352 4736 5032 5056 5372 5504 5632 5846 5848 5984 6364 6512 6794 6919 6952 7568 8041 8704 9472 10064 10112 10744 11008 11264 11692 11696 11968 12728 13024 13588 13838 13904 14773 15136 16082 17408 17501 18944 20128 20224 21488 22016 22528 23384 23392 23936 25456 26048 27047 27176 27676 27808 29546 30272 32153 32164 34816 35002 37367 37888 40256 40448 42976 44032 46768 46784 47872 49691 50912 52096 54094 54352 55352 55616 57749 59092 60544 64306 64328 70004 74734 75776 80512 80896 85952 88064 93536 93568 95744 99382 101824 104192 108188 108704 110704 111232 115498 118184 121088 125689 128612 128656 140008 149468 161024 161792 171904 187072 187136 191488 198764 203648 208384 216376 217408 221408 222464 230996 236368 242176 251378 257224 257312 280016 297517 298936 322048 343808 374144 374272 382976 397528 407296 416768 432752 434816 442816 444928 461992 472736 484352 502756 514448 514624 546601 560032 595034 597872 635239 644096 687616 748288 748544 795056 814592 833536 865504 869632 885632 889856 923984 945472 968704 1005512 1028896 1029248 1093202 1120064 1190068 1195744 1270478 1288192 1375232 1382579 1496576 1497088 1590112 1629184 1731008 1739264 1771264 1779712 1847968 1890944 2011024 2057792 2058496 2136713 2186404 2240128 2380136 2391488 2540956 2750464 2765158 2993152 3180224 3258368 3462016 3478528 3542528 3695936 3781888 4022048 4115584 4116992 4273426 4372808 4480256 4760272 4782976 5081912 5530316 5986304 6360448 6924032 6957056 7085056 7391872 7563776 8044096 8231168 8233984 8546852 8745616 8960512 9520544 9565952 10163824 11060632 12720896 13848064 14170112 14783744 15127552 16088192 16462336 16467968 17093704 17491232 17921024 19041088 19131904 20327648 22121264 23503843 25441792 27696128 29567488 30255104 32176384 32924672 34187408 34982464 35842048 38082176 38263808 40655296 44242528 47007686 50883584 55392256 59134976 64352768 65849344 68374816 69964928 76164352 76527616 81310592 88485056 94015372 101767168 118269952 128705536 136749632 139929856 152328704 162621184 176970112 188030744 257411072 273499264 279859712 304657408 325242368 353940224 376061488 546998528 559719424 609314816 650484736 707880448 752122976 1093997056 1119438848 1300969472 1415760896 1504245952 2187994112 2831521792 3008491904 4375988224 6016983808 12033967616 24067935232 48135870464
- Sum of all divisors σ(n): 118313395200
- Sum of proper divisors (its aliquot sum) s(n): 70177524736
- 48135870464 is an abundant number, because the sum of its proper divisors (70177524736) is greater than itself. Its abundance is 22041654272
Bases of 48135870464
- Binary: 1011001101010001111100011000000000002
- Hexadecimal: 0xB351F1800
- Base-36: M42URCW
Squares and roots of 48135870464
- 48135870464 squared (481358704642) is 2317062025326987575296
- 48135870464 cubed (481358704643) is 111533797508193361167785702457344
-
The
square root of 48135870464 is 219398.8843727333 -
The
cube root of 48135870464 is 3637.6670249571
Scales and comparisons
How big is 48135870464?- 48,135,870,464 seconds is equal to 1,530 years, 29 weeks, 5 days, 3 hours, 7 minutes, 44 seconds.
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To count from 1 to 48,135,870,464 would take you about three thousand and sixty-one 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 48135870464 cubic inches would be around 303.1 feet tall.
Recreational maths with 48135870464
- 48135870464 backwards is 46407853184
- The number of decimal digits it has is: 11
- The sum of 48135870464's digits is 50
- More coming soon!
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