138513988005120
138,513,988,005,120 is an even composite number composed of eight prime numbers multiplied together.
138513988005120 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, five hundred ninety-two divisors.
Prime factorization of 138513988005120:
28 × 32 × 5 × 7 × 132 × 17 × 547 × 1093
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 13 × 13 × 17 × 547 × 1093)See below for interesting mathematical facts about the number 138513988005120 from the Numbermatics database.
Names of 138513988005120
- Cardinal: 138513988005120 can be written as One hundred thirty-eight trillion, five hundred thirteen billion, nine hundred eighty-eight million, five thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.3851398800512 × 1014
Factors of 138513988005120
Divisors of 138513988005120
- Number of divisors d(n): 2592
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 17 18 20 21 24 26 28 30 32 34 35 36 39 40 42 45 48 51 52 56 60 63 64 65 68 70 72 78 80 84 85 90 91 96 102 104 105 112 117 119 120 126 128 130 136 140 144 153 156 160 168 169 170 180 182 192 195 204 208 210 221 224 234 238 240 252 255 256 260 272 273 280 288 306 312 315 320 336 338 340 357 360 364 384 390 408 416 420 442 448 455 468 476 480 504 507 510 520 544 546 547 560 576 585 595 612 624 630 640 663 672 676 680 714 720 728 765 768 780 816 819 832 840 845 884 896 910 936 952 960 1008 1014 1020 1040 1071 1088 1092 1093 1094 1105 1120 1152 1170 1183 1190 1224 1248 1260 1280 1326 1344 1352 1360 1365 1428 1440 1456 1521 1530 1547 1560 1632 1638 1641 1664 1680 1690 1768 1785 1792 1820 1872 1904 1920 1989 2016 2028 2040 2080 2142 2176 2184 2186 2188 2210 2240 2304 2340 2366 2380 2448 2496 2520 2535 2652 2688 2704 2720 2730 2735 2856 2873 2880 2912 3042 3060 3094 3120 3264 3276 3279 3282 3315 3328 3360 3380 3536 3549 3570 3640 3744 3808 3829 3840 3978 4032 4056 4080 4095 4160 4284 4352 4368 4372 4376 4420 4480 4641 4680 4732 4760 4896 4923 4992 5040 5070 5304 5355 5376 5408 5440 5460 5465 5470 5712 5746 5760 5824 5915 6084 6120 6188 6240 6528 6552 6558 6564 6630 6720 6760 7072 7098 7111 7140 7280 7488 7605 7616 7651 7658 7735 7956 8064 8112 8160 8190 8205 8320 8568 8619 8736 8744 8752 8840 8960 9282 9299 9360 9464 9520 9792 9837 9846 9945 9984 10080 10140 10608 10647 10710 10816 10880 10920 10930 10940 11424 11487 11492 11520 11648 11830 12168 12240 12376 12480 13056 13104 13116 13128 13260 13440 13520 13923 14144 14196 14209 14222 14280 14365 14560 14976 15210 15232 15302 15316 15470 15912 16128 16224 16320 16380 16395 16410 16640 17136 17238 17472 17488 17504 17680 17745 18564 18581 18598 18720 18928 19040 19145 19584 19674 19692 19890 20111 20160 20280 21216 21294 21333 21420 21632 21760 21840 21860 21880 22848 22953 22974 22984 23205 23296 23660 24336 24480 24615 24752 24960 25857 26208 26232 26256 26520 26880 27040 27846 27897 28288 28392 28418 28444 28560 28730 29120 29952 30420 30464 30604 30632 30940 31824 32448 32640 32760 32790 32820 34272 34461 34476 34944 34976 35008 35360 35490 35555 37128 37162 37196 37440 37856 38080 38255 38290 39168 39348 39384 39780 40222 40320 40560 42432 42588 42627 42666 42840 43095 43264 43680 43720 43760 45696 45906 45948 45968 46410 46495 47320 48672 48960 49185 49230 49504 49777 49920 51714 52416 52464 52512 53040 53235 54080 55692 55743 55794 56576 56784 56836 56888 57120 57435 57460 58240 60333 60840 61208 61264 61880 63648 63999 64896 65093 65280 65520 65580 65640 68544 68859 68922 68952 69615 69888 69952 70016 70720 70980 71045 71110 74256 74324 74392 74880 75712 76160 76510 76580 78696 78768 79560 80444 80640 81120 83691 84864 85176 85254 85332 85680 86190 87360 87440 87520 91392 91812 91896 91936 92443 92820 92905 92990 94640 97344 97920 98370 98460 99008 99463 99554 100555 103428 104832 104928 105024 106080 106470 106665 108160 111384 111486 111588 113568 113672 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102451174560 103061002980 104460021120 108214053129 109931736512 110988772440 113165022880 116398309248 117087056640 118388023936 120237836810 123673203576 125352025344 126612420480 126728259840 126844311360 127310650740 129331454720 133186526928 135798027456 136601566080 137414670640 144285404172 145497886560 147985029920 152213173632 154591504470 156690031680 163921879296 164897604768 166483158660 169125748480 169747534320 177582035904 180356755215 181064036608 190266467040 192380538896 193997182080 203697041184 204902349120 206122005960 208920042240 216428106258 219863473024 221977544880 226330045760 232796618496 236776047872 240475673620 247346407152 253224840960 253688622720 254621301480 266373053856 271596054912 273203132160 274829341280 288570808344 290995773120 295970059840 304426347264 309183008940 313380063360 329795209536 332966317320 339495068640 355164071808 360713510430 380532934080 384761077792 387994364160 407394082368 409804698240 412244011920 432856212516 439726946048 443955089760 452660091520 480951347240 494692814304 507377245440 509242602960 532746107712 541070265645 543192109824 549658682560 577141616688 581991546240 591940119680 618366017880 626760126720 659590419072 665932634640 678990137280 710328143616 721427020860 761065868160 769522155584 814788164736 819609396480 824488023840 865712425032 887910179520 905320183040 961902694480 989385628608 1018485205920 1065492215424 1082140531290 1099317365120 1154283233376 1163983092480 1183880239360 1236732035760 1319180838144 1331865269280 1357980274560 1442854041720 1522131736320 1539044311168 1629576329472 1648976047680 1731424850064 1775820359040 1923805388960 1978771257216 2036970411840 2130984430848 2164281062580 2198634730240 2308566466752 2473464071520 2663730538560 2715960549120 2885708083440 3078088622336 3297952095360 3462849700128 3551640718080 3847610777920 3957542514432 4073940823680 4328562125160 4617132933504 4946928143040 5327461077120 5771416166880 6595904190720 6925699400256 7695221555840 8147881647360 8657124250320 9234265867008 9893856286080 10654922154240 11542832333760 13851398800512 15390443111680 17314248500640 19787712572160 23085664667520 27702797601024 34628497001280 46171329335040 69256994002560 138513988005120
- Sum of all divisors σ(n): 629690244648192
- Sum of proper divisors (its aliquot sum) s(n): 491176256643072
- 138513988005120 is an abundant number, because the sum of its proper divisors (491176256643072) is greater than itself. Its abundance is 352662268637952
Bases of 138513988005120
- Binary: 111110111111010010011010000110100101101000000002
- Hexadecimal: 0x7DFA4D0D2D00
- Base-36: 1D3KG44SG0
Squares and roots of 138513988005120
- 138513988005120 squared (1385139880051202) is 19186124873082527237146214400
- 138513988005120 cubed (1385139880051203) is 2657546670534887660085926435101215817728000
-
The
square root of 138513988005120 is 11769196.5743257089 -
The
cube root of 138513988005120 is 51740.5702756097
Scales and comparisons
How big is 138513988005120?- 138,513,988,005,120 seconds is equal to 4,404,316 years, 19 weeks, 11 hours, 12 minutes.
-
To count from 1 to 138,513,988,005,120 would take you about eleven million, ten thousand, seven hundred ninety 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 138513988005120 cubic inches would be around 4311.7 feet tall.
Recreational maths with 138513988005120
- 138513988005120 backwards is 021500889315831
- The number of decimal digits it has is: 15
- The sum of 138513988005120's digits is 54
- More coming soon!
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"Number 138513988005120 - Facts about the integer". Numbermatics.com. 2024. Web. 17 June 2024.
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Numbermatics. (2024). Number 138513988005120 - Facts about the integer. Retrieved 17 June 2024, from https://numbermatics.com/n/138513988005120/
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The information we have on file for 138513988005120 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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