1138461891840
1,138,461,891,840 is an even composite number composed of seven prime numbers multiplied together.
What does the number 1138461891840 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1728 divisors.
1138461891840 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 1138461891840:
28 × 32 × 5 × 73 × 13 × 37 × 599
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 7 × 7 × 13 × 37 × 599)See below for interesting mathematical facts about the number 1138461891840 from the Numbermatics database.
Names of 1138461891840
- Cardinal: 1138461891840 can be written as One trillion, one hundred thirty-eight billion, four hundred sixty-one million, eight hundred ninety-one thousand, eight hundred forty.
Scientific notation
- Scientific notation: 1.13846189184 × 1012
Factors of 1138461891840
Divisors of 1138461891840
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 26 28 30 32 35 36 37 39 40 42 45 48 49 52 56 60 63 64 65 70 72 74 78 80 84 90 91 96 98 104 105 111 112 117 120 126 128 130 140 144 147 148 156 160 168 180 182 185 192 195 196 208 210 222 224 234 240 245 252 256 259 260 273 280 288 294 296 312 315 320 333 336 343 360 364 370 384 390 392 416 420 441 444 448 455 468 480 481 490 504 518 520 546 555 560 576 585 588 592 599 624 630 637 640 666 672 686 720 728 735 740 768 777 780 784 819 832 840 882 888 896 910 936 960 962 980 1008 1029 1036 1040 1092 1110 1120 1152 1170 1176 1184 1198 1248 1260 1274 1280 1295 1332 1344 1365 1372 1440 1443 1456 1470 1480 1554 1560 1568 1638 1664 1665 1680 1715 1764 1776 1792 1797 1813 1820 1872 1911 1920 1924 1960 2016 2058 2072 2080 2184 2205 2220 2240 2304 2331 2340 2352 2368 2396 2405 2496 2520 2548 2590 2664 2688 2730 2744 2880 2886 2912 2940 2960 2995 3087 3108 3120 3136 3185 3276 3328 3330 3360 3367 3430 3528 3552 3594 3626 3640 3744 3822 3840 3848 3885 3920 4032 4095 4116 4144 4160 4193 4329 4368 4410 4440 4459 4480 4662 4680 4704 4736 4792 4810 4992 5040 5096 5145 5180 5328 5376 5391 5439 5460 5488 5733 5760 5772 5824 5880 5920 5990 6174 6216 6240 6272 6370 6552 6660 6720 6734 6860 7056 7104 7188 7215 7252 7280 7488 7644 7696 7770 7787 7840 8064 8190 8232 8288 8320 8386 8658 8736 8820 8880 8918 8960 8985 9065 9324 9360 9408 9472 9555 9584 9620 9984 10080 10101 10192 10290 10360 10656 10782 10878 10920 10976 11466 11520 11544 11648 11655 11760 11840 11980 12348 12432 12480 12544 12579 12691 12740 13104 13320 13377 13440 13468 13720 14112 14208 14376 14430 14504 14560 14976 15288 15392 15435 15540 15574 15680 16128 16317 16380 16464 16576 16640 16772 16835 17316 17472 17640 17760 17836 17970 18130 18648 18720 18816 19110 19168 19240 20160 20202 20384 20580 20720 20965 21312 21564 21645 21756 21840 21952 22163 22295 22932 23088 23296 23310 23361 23520 23569 23680 23960 24696 24864 24960 25158 25382 25480 26208 26640 26754 26880 26936 26955 27195 27440 28224 28416 28665 28752 28860 29008 29120 29351 29952 30303 30576 30784 30870 31080 31148 31360 32634 32760 32928 33152 33544 33670 34632 34944 35280 35520 35672 35940 36260 37296 37440 37632 37737 38073 38220 38336 38480 38935 40131 40320 40404 40768 41160 41440 41930 42624 43128 43290 43512 43680 43904 44326 44590 45864 46176 46620 46722 47040 47138 47360 47920 49392 49728 49920 50316 50505 50764 50960 52416 53280 53508 53872 53910 54390 54509 54880 56448 57330 57504 57720 58016 58240 58702 60606 61152 61568 61740 62160 62296 62720 62895 63455 65268 65520 65856 66304 66489 66885 67088 67340 69264 69888 70083 70560 70707 71040 71344 71880 72520 74592 74880 75474 76146 76440 76672 76960 77870 80262 80640 80808 81536 81585 82320 82880 83860 85248 86256 86580 87024 87360 87808 88053 88652 89180 91728 92352 93240 93444 94080 94276 95840 98784 99456 100632 101010 101528 101920 104832 106560 107016 107744 107820 108780 109018 109760 110815 112896 114219 114660 115008 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3614164736 3648916320 3846155040 3872319360 3952992680 4065935328 4170190080 4378699584 4395605760 4447116765 4517705920 4646783232 4743591216 4865221760 5082419160 5128206720 5421247104 5473374480 5808479040 5838266112 5929489020 6153848064 6255285120 6324788288 6776558880 7115386824 7297832640 7692310080 7744638720 7905985360 8131870656 8757399168 8894233530 9035411840 9487182432 9730443520 10164838320 10256413440 10842494208 10946748960 11616958080 11858978040 12510570240 12649576576 13553117760 14230773648 14595665280 15384620160 15811970720 16263741312 17514798336 17788467060 18070823680 18974364864 20329676640 21893497920 23233916160 23717956080 25299153152 27106235520 28461547296 29191330560 30769240320 31623941440 32527482624 35576934120 37948729728 40659353280 43786995840 47435912160 54212471040 56923094592 63247882880 71153868240 75897459456 81318706560 87573991680 94871824320 113846189184 126495765760 142307736480 162637413120 189743648640 227692378368 284615472960 379487297280 569230945920 1138461891840
- Sum of all divisors σ(n): 5089069440000
- Sum of proper divisors (its aliquot sum) s(n): 3950607548160
- 1138461891840 is an abundant number, because the sum of its proper divisors (3950607548160) is greater than itself. Its abundance is 2812145656320
Bases of 1138461891840
- Binary: 100001001000100011001110111011101000000002
- Hexadecimal: 0x109119DDD00
- Base-36: EJ02TDS0
Squares and roots of 1138461891840
- 1138461891840 squared (11384618918402) is 1296095479171911858585600
- 1138461891840 cubed (11384618918403) is 1475555311223326091115092722581504000
-
The
square root of 1138461891840 is 1066987.2969440639 -
The
cube root of 1138461891840 is 10441.7389801525
Scales and comparisons
How big is 1138461891840?- 1,138,461,891,840 seconds is equal to 36,199 years, 29 weeks, 3 days, 6 hours, 24 minutes.
-
To count from 1 to 1,138,461,891,840 would take you about ninety thousand, four hundred ninety-eight 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 1138461891840 cubic inches would be around 870.1 feet tall.
Recreational maths with 1138461891840
- 1138461891840 backwards is 0481981648311
- The number of decimal digits it has is: 13
- The sum of 1138461891840's digits is 54
- More coming soon!
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"Number 1138461891840 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
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Numbermatics. (2024). Number 1138461891840 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/1138461891840/
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The information we have on file for 1138461891840 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!
Keywords: Divisors of 1138461891840, math, Factors of 1138461891840, curriculum, school, college, exams, university, Prime factorization of 1138461891840, STEM, science, technology, engineering, physics, economics, calculator, one trillion, one hundred thirty-eight billion, four hundred sixty-one million, eight hundred ninety-one thousand, eight hundred forty.