42668963177435280
42,668,963,177,435,280 is an even composite number composed of six prime numbers multiplied together.
What does the number 42668963177435280 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 320 divisors.
42668963177435280 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 42668963177435280:
24 × 33 × 5 × 7 × 751 × 3757684919
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 751 × 3757684919)See below for interesting mathematical facts about the number 42668963177435280 from the Numbermatics database.
Names of 42668963177435280
- Cardinal: 42668963177435280 can be written as Forty-two quadrillion, six hundred sixty-eight trillion, nine hundred sixty-three billion, one hundred seventy-seven million, four hundred thirty-five thousand, two hundred eighty.
Scientific notation
- Scientific notation: 4.266896317743528 × 1016
Factors of 42668963177435280
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 11
- Sum of prime factors: 3757685687
Divisors of 42668963177435280
- Number of divisors d(n): 320
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 35 36 40 42 45 48 54 56 60 63 70 72 80 84 90 105 108 112 120 126 135 140 144 168 180 189 210 216 240 252 270 280 315 336 360 378 420 432 504 540 560 630 720 751 756 840 945 1008 1080 1260 1502 1512 1680 1890 2160 2253 2520 3004 3024 3755 3780 4506 5040 5257 6008 6759 7510 7560 9012 10514 11265 12016 13518 15020 15120 15771 18024 20277 21028 22530 26285 27036 30040 31542 33795 36048 40554 42056 45060 47313 52570 54072 60080 63084 67590 78855 81108 84112 90120 94626 101385 105140 108144 126168 135180 141939 157710 162216 180240 189252 202770 210280 236565 252336 270360 283878 315420 324432 378504 405540 420560 473130 540720 567756 630840 709695 757008 811080 946260 1135512 1261680 1419390 1622160 1892520 2271024 2838780 3785040 5677560 11355120 3757684919 7515369838 11273054757 15030739676 18788424595 22546109514 26303794433 30061479352 33819164271 37576849190 45092219028 52607588866 56365273785 60122958704 67638328542 75153698380 78911383299 90184438056 101457492813 105215177732 112730547570 131518972165 135276657084 150307396760 157822766598 169095821355 180368876112 202914985626 210430355464 225461095140 236734149897 263037944330 270553314168 300614793520 315645533196 338191642710 394556916495 405829971252 420860710928 450922190280 473468299794 507287464065 526075888660 541106628336 631291066392 676383285420 710202449691 789113832990 811659942504 901844380560 946936599588 1014574928130 1052151777320 1183670749485 1262582132784 1352766570840 1420404899382 1578227665980 1623319885008 1893873199176 2029149856260 2104303554640 2367341498970 2705533141680 2822021374169 2840809798764 3156455331960 3551012248455 3787746398352 4058299712520 4734682997940 5644042748338 5681619597528 6312910663920 7102024496910 8116599425040 8466064122507 9469365995880 11288085496676 11363239195056 14110106870845 14204048993820 16932128245014 18938731991760 19754149619183 22576170993352 25398192367521 28220213741690 28408097987640 33864256490028 39508299238366 42330320612535 45152341986704 50796384735042 56440427483380 56816195975280 59262448857549 67728512980056 76194577102563 79016598476732 84660641225070 98770748095915 101592769470084 112880854966760 118524897715098 126990961837605 135457025960112 152389154205126 158033196953464 169321282450140 177787346572647 197541496191830 203185538940168 225761709933520 237049795430196 253981923675210 296312244287745 304778308410252 316066393906928 338642564900280 355574693145294 380972885512815 395082992383660 406371077880336 474099590860392 507963847350420 533362039717941 592624488575490 609556616820504 677285129800560 711149386290588 761945771025630 790165984767320 888936732863235 948199181720784 1015927694700840 1066724079435882 1185248977150980 1219113233641008 1422298772581176 1523891542051260 1580331969534640 1777873465726470 2031855389401680 2133448158871764 2370497954301960 2666810198589705 2844597545162352 3047783084102520 3555746931452940 4266896317743528 4740995908603920 5333620397179410 6095566168205040 7111493862905880 8533792635487056 10667240794358820 14222987725811760 21334481588717640 42668963177435280
- Sum of all divisors σ(n): 168190369641676800
- Sum of proper divisors (its aliquot sum) s(n): 125521406464241520
- 42668963177435280 is an abundant number, because the sum of its proper divisors (125521406464241520) is greater than itself. Its abundance is 82852443286806240
Bases of 42668963177435280
- Binary: 100101111001011100110010001010010010000000010000100100002
- Hexadecimal: 0x97973229201090
- Base-36: BO4VV2RV2C0
Squares and roots of 42668963177435280
- 42668963177435280 squared (426689631774352802) is 1820640418637327825912558588678400
- 42668963177435280 cubed (426689631774352803) is 77684838982186493882964884898236957197756733952000
-
The
square root of 42668963177435280 is 206564670.6904045583 -
The
cube root of 42668963177435280 is 349438.4551162433
Scales and comparisons
How big is 42668963177435280?- 42,668,963,177,435,280 seconds is equal to 1,356,741,045 years, 14 weeks, 1 day, 13 hours, 48 minutes.
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To count from 1 to 42,668,963,177,435,280 would take you about four billion, seventy million, two hundred twenty-three thousand, one hundred thirty-five 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 42668963177435280 cubic inches would be around 29119.9 feet tall.
Recreational maths with 42668963177435280
- 42668963177435280 backwards is 08253477136986624
- The number of decimal digits it has is: 17
- The sum of 42668963177435280's digits is 81
- More coming soon!
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