40148669708002240
40,148,669,708,002,240 is an even composite number composed of six prime numbers multiplied together.
What does the number 40148669708002240 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2268 divisors.
40148669708002240 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, two hundred sixty-eight divisors.
Prime factorization of 40148669708002240:
26 × 5 × 78 × 112 × 412 × 107
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 11 × 11 × 41 × 41 × 107)See below for interesting mathematical facts about the number 40148669708002240 from the Numbermatics database.
Names of 40148669708002240
- Cardinal: 40148669708002240 can be written as Forty quadrillion, one hundred forty-eight trillion, six hundred sixty-nine billion, seven hundred eight million, two thousand, two hundred forty.
Scientific notation
- Scientific notation: 4.014866970800224 × 1016
Factors of 40148669708002240
Divisors of 40148669708002240
- Number of divisors d(n): 2268
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Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 41 44 49 55 56 64 70 77 80 82 88 98 107 110 112 121 140 154 160 164 176 196 205 214 220 224 242 245 280 287 308 320 328 343 352 385 392 410 428 440 448 451 484 490 535 539 560 574 605 616 656 686 704 749 770 784 820 847 856 880 902 968 980 1070 1078 1120 1148 1177 1210 1232 1312 1372 1435 1498 1540 1568 1640 1681 1694 1712 1715 1760 1804 1936 1960 2009 2140 2156 2240 2255 2296 2354 2401 2420 2464 2624 2695 2744 2870 2996 3080 3136 3157 3280 3362 3388 3424 3430 3520 3608 3745 3773 3872 3920 4018 4235 4280 4312 4387 4510 4592 4708 4802 4840 4928 4961 5243 5390 5488 5740 5885 5929 5992 6160 6314 6560 6724 6776 6848 6860 7216 7490 7546 7744 7840 8036 8239 8405 8470 8560 8624 8774 9020 9184 9416 9604 9680 9922 10045 10486 10780 10976 11480 11767 11770 11858 11984 12005 12320 12628 12947 13120 13448 13552 13720 14063 14432 14980 15092 15680 15785 16072 16478 16807 16810 16940 17120 17248 17548 18040 18368 18491 18832 18865 19208 19360 19844 20090 20972 21560 21935 21952 22099 22960 23534 23540 23716 23968 24010 24640 24805 25256 25894 26215 26411 26896 27104 27440 28126 28864 29645 29960 30184 30709 31570 32144 32956 33614 33620 33880 34240 34496 34727 35096 36080 36701 36982 37664 37730 38416 38720 39688 40180 41195 41503 41944 43120 43870 44198 45920 47068 47080 47432 47936 48020 48257 49610 50512 51788 52430 52822 53792 54208 54880 56252 57673 58835 59290 59920 60368 61418 63140 64288 64735 65912 67228 67240 67760 69454 70192 70315 72160 73402 73964 75328 75460 76832 79376 80360 82369 82390 83006 83888 84035 86240 87740 88396 90629 91840 92455 94136 94160 94864 96040 96514 98441 99220 101024 103576 104860 105644 107584 109760 110495 112504 115346 117649 117670 118580 119840 120736 122836 126280 128576 129437 129470 131824 132055 134456 134480 135520 138908 140384 140630 144320 146804 147928 150920 153545 153664 154693 158752 160720 164738 164780 166012 167776 168070 172480 173635 175480 176792 179867 181258 183505 184877 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6771575258560 6822203858624 6994541760976 7315719698980 7448732784416 7657575759680 8092858235840 8147051482955 8295179691736 8360822513120 8527754823280 8743177201220 8902144059424 9151736883520 9310915980520 9380530305608 9480205361984 9992202515680 10242007578572 10368974614670 10641046834880 10720606063552 11127680074280 11405872076137 11705151518368 11725662882010 11850256702480 11941900567520 12240448081708 12717348656320 12802509473215 13035282372728 13400757579440 13989083521952 14631439397960 14897465568832 15300560102135 16294102965910 16590359383472 16721645026240 17055509646560 17486354402440 17804288118848 17923513262501 18621831961040 18761060611216 19984405031360 20484015157144 20737949229340 22255360148560 22811744152274 23410303036736 23451325764020 23700513404960 23883801135040 24480896163416 25605018946430 26070564745456 26801515158880 27978167043904 29262878795920 30601120204270 32588205931820 33180718766944 34111019293120 34972708804880 35847026525002 37243663922080 37522121222432 40968030314288 41475898458680 44510720297120 45623488304548 46902651528040 47401026809920 48961792326832 51210037892860 52141129490912 53603030317760 57029360380685 58525757591840 61202240408540 65176411863640 66361437533888 69945417609760 71694053050004 74487327844160 75044242444864 81936060628576 82951796917360 89021440594240 89617566312505 91246976609096 93805303056080 97923584653664 102420075785720 104282258981824 114058720761370 117051515183680 122404480817080 125464592837507 130352823727280 139890835219520 143388106100008 163872121257152 165903593834720 179235132625010 182493953218192 187610606112160 195847169307328 204840151571440 228117441522740 244808961634160 250929185675014 260705647454560 286776212200016 331807187669440 358470265250020 364987906436384 375221212224320 409680303142880 456234883045480 489617923268320 501858371350028 521411294909120 573552424400032 627322964187535 716940530500040 729975812872768 819360606285760 912469766090960 979235846536640 1003716742700056 1147104848800064 1254645928375070 1433881061000080 1824939532181920 2007433485400112 2509291856750140 2867762122000160 3649879064363840 4014866970800224 5018583713500280 5735524244000320 8029733941600448 10037167427000560 20074334854001120 40148669708002240
- Sum of all divisors σ(n): 126837228635707464
- Sum of proper divisors (its aliquot sum) s(n): 86688558927705224
- 40148669708002240 is an abundant number, because the sum of its proper divisors (86688558927705224) is greater than itself. Its abundance is 46539889219702984
Bases of 40148669708002240
- Binary: 100011101010001100000000100111000010011001100011110000002
- Hexadecimal: 0x8EA3009C2663C0
- Base-36: AZBIK8O7M4G
Squares and roots of 40148669708002240
- 40148669708002240 squared (401486697080022402) is 1611915679322256671304291845017600
- 40148669708002240 cubed (401486697080022403) is 64716270206259339080517216703393269460593639424000
-
The
square root of 40148669708002240 is 200371329.5559078731 -
The
cube root of 40148669708002240 is 342418.3681930591
Scales and comparisons
How big is 40148669708002240?- 40,148,669,708,002,240 seconds is equal to 1,276,603,508 years, 37 weeks, 4 days, 22 hours, 50 minutes, 40 seconds.
-
To count from 1 to 40,148,669,708,002,240 would take you about three billion, eight hundred twenty-nine million, eight hundred ten thousand, five hundred twenty-six 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 40148669708002240 cubic inches would be around 28534.9 feet tall.
Recreational maths with 40148669708002240
- 40148669708002240 backwards is 04220080796684104
- The number of decimal digits it has is: 17
- The sum of 40148669708002240's digits is 61
- More coming soon!
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"Number 40148669708002240 - Facts about the integer". Numbermatics.com. 2024. Web. 4 June 2024.
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Numbermatics. (2024). Number 40148669708002240 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/40148669708002240/
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The information we have on file for 40148669708002240 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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