138948412538880
138,948,412,538,880 is an even composite number composed of six prime numbers multiplied together.
What does the number 138948412538880 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1920 divisors.
138948412538880 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 138948412538880:
215 × 34 × 5 × 7 × 41 × 1912
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 7 × 41 × 191 × 191)See below for interesting mathematical facts about the number 138948412538880 from the Numbermatics database.
Names of 138948412538880
- Cardinal: 138948412538880 can be written as One hundred thirty-eight trillion, nine hundred forty-eight billion, four hundred twelve million, five hundred thirty-eight thousand, eight hundred eighty.
Scientific notation
- Scientific notation: 1.3894841253888 × 1014
Factors of 138948412538880
Divisors of 138948412538880
- Number of divisors d(n): 1920
-
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 32 35 36 40 41 42 45 48 54 56 60 63 64 70 72 80 81 82 84 90 96 105 108 112 120 123 126 128 135 140 144 160 162 164 168 180 189 191 192 205 210 216 224 240 246 252 256 270 280 287 288 315 320 324 328 336 360 369 378 382 384 405 410 420 432 448 480 492 504 512 540 560 567 573 574 576 615 630 640 648 656 672 720 738 756 764 768 810 820 840 861 864 896 945 955 960 984 1008 1024 1080 1107 1120 1134 1146 1148 1152 1230 1260 1280 1296 1312 1337 1344 1435 1440 1476 1512 1528 1536 1620 1640 1680 1719 1722 1728 1792 1845 1890 1910 1920 1968 2016 2048 2160 2214 2240 2268 2292 2296 2304 2460 2520 2560 2583 2592 2624 2674 2688 2835 2865 2870 2880 2952 3024 3056 3072 3240 3280 3321 3360 3438 3444 3456 3584 3690 3780 3820 3840 3936 4011 4032 4096 4305 4320 4428 4480 4536 4584 4592 4608 4920 5040 5120 5157 5166 5184 5248 5348 5376 5535 5670 5730 5740 5760 5904 6048 6112 6144 6480 6560 6642 6685 6720 6876 6888 6912 7168 7380 7560 7640 7680 7749 7831 7872 8022 8064 8192 8595 8610 8640 8856 8960 9072 9168 9184 9216 9840 10080 10240 10314 10332 10368 10496 10696 10752 11070 11340 11460 11480 11520 11808 12033 12096 12224 12288 12915 12960 13120 13284 13370 13440 13752 13776 13824 14336 14760 15120 15280 15360 15471 15498 15662 15744 16044 16128 16384 16605 17190 17220 17280 17712 17920 18144 18336 18368 18432 19680 20055 20160 20480 20628 20664 20736 20992 21392 21504 22140 22680 22920 22960 23040 23247 23493 23616 24066 24192 24448 24576 25785 25830 25920 26240 26568 26740 26880 27504 27552 27648 28672 29520 30240 30560 30720 30942 30996 31324 31488 32088 32256 32768 33210 34380 34440 34560 35424 35840 36099 36288 36481 36672 36736 36864 38745 39155 39360 40110 40320 40960 41256 41328 41472 41984 42784 43008 44280 45360 45840 45920 46080 46494 46986 47232 48132 48384 48896 49152 51570 51660 51840 52480 53136 53480 53760 54817 55008 55104 55296 57344 59040 60165 60480 61120 61440 61884 61992 62648 62976 64176 64512 66420 68760 68880 69120 70479 70848 71680 72198 72576 72962 73344 73472 73728 77355 77490 78310 78720 80220 80640 81920 82512 82656 82944 83968 85568 86016 88560 90720 91680 91840 92160 92988 93972 94464 96264 96768 97792 98304 103140 103320 103680 104960 106272 106960 107520 108297 109443 109634 110016 110208 110592 114688 116235 117465 118080 120330 120960 122240 122880 123768 123984 125296 125952 128352 129024 132840 137520 137760 138240 140958 141696 143360 144396 145152 145924 146688 146944 147456 154710 154980 156620 157440 160440 161280 163840 164451 165024 165312 165888 167936 171136 172032 177120 180495 181440 182405 183360 183680 184320 185976 187944 188928 192528 193536 195584 206280 206640 207360 209920 211437 212544 213920 215040 216594 218886 219268 220032 220416 221184 229376 232470 234930 236160 240660 241920 244480 245760 247536 247968 250592 251904 255367 256704 258048 265680 274085 275040 275520 276480 281916 283392 286720 288792 290304 291848 293376 293888 294912 309420 309960 313240 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1984977321984 2171068945920 2205530357760 2315806875648 2481221652480 2573118750720 2894758594560 3087742500864 3308295536640 3388985671680 3473710313472 3859678126080 3969954643968 4342137891840 4631613751296 4962443304960 5146237501440 5789517189120 6616591073280 6947420626944 7719356252160 8684275783680 9263227502592 9924886609920 11579034378240 13894841253888 15438712504320 17368551567360 19849773219840 23158068756480 27789682507776 34737103134720 46316137512960 69474206269440 138948412538880
- Sum of all divisors σ(n): 586267258056480
- Sum of proper divisors (its aliquot sum) s(n): 447318845517600
- 138948412538880 is an abundant number, because the sum of its proper divisors (447318845517600) is greater than itself. Its abundance is 308370432978720
Bases of 138948412538880
- Binary: 111111001011111011100101100010110000000000000002
- Hexadecimal: 0x7E5F72C58000
- Base-36: 1D940PA800
Squares and roots of 138948412538880
- 138948412538880 squared (1389484125388802) is 19306661347074784807511654400
- 138948412538880 cubed (1389484125388803) is 2682629945601795860957130087444693123072000
-
The
square root of 138948412538880 is 11787638.1238516139 -
The
cube root of 138948412538880 is 51794.6055287447
Scales and comparisons
How big is 138948412538880?- 138,948,412,538,880 seconds is equal to 4,418,129 years, 37 weeks, 4 days, 4 hours, 48 minutes.
-
To count from 1 to 138,948,412,538,880 would take you about eleven million, forty-five thousand, three hundred twenty-four 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 138948412538880 cubic inches would be around 4316.2 feet tall.
Recreational maths with 138948412538880
- 138948412538880 backwards is 088835214849831
- 138948412538880 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138948412538880's digits is 72
- More coming soon!
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"Number 138948412538880 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
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Numbermatics. (2024). Number 138948412538880 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/138948412538880/
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The information we have on file for 138948412538880 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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