138397671014400
138,397,671,014,400 is an even composite number composed of five prime numbers multiplied together.
138397671014400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, four hundred thirty divisors.
Prime factorization of 138397671014400:
214 × 38 × 52 × 72 × 1051
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 1051)See below for interesting mathematical facts about the number 138397671014400 from the Numbermatics database.
Names of 138397671014400
- Cardinal: 138397671014400 can be written as One hundred thirty-eight trillion, three hundred ninety-seven billion, six hundred seventy-one million, fourteen thousand, four hundred.
Scientific notation
- Scientific notation: 1.383976710144 × 1014
Factors of 138397671014400
Divisors of 138397671014400
- Number of divisors d(n): 2430
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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 25 27 28 30 32 35 36 40 42 45 48 49 50 54 56 60 63 64 70 72 75 80 81 84 90 96 98 100 105 108 112 120 126 128 135 140 144 147 150 160 162 168 175 180 189 192 196 200 210 216 224 225 240 243 245 252 256 270 280 288 294 300 315 320 324 336 350 360 378 384 392 400 405 420 432 441 448 450 480 486 490 504 512 525 540 560 567 576 588 600 630 640 648 672 675 700 720 729 735 756 768 784 800 810 840 864 882 896 900 945 960 972 980 1008 1024 1050 1051 1080 1120 1134 1152 1176 1200 1215 1225 1260 1280 1296 1323 1344 1350 1400 1440 1458 1470 1512 1536 1568 1575 1600 1620 1680 1701 1728 1764 1792 1800 1890 1920 1944 1960 2016 2025 2048 2100 2102 2160 2187 2205 2240 2268 2304 2352 2400 2430 2450 2520 2560 2592 2646 2688 2700 2800 2835 2880 2916 2940 3024 3072 3136 3150 3153 3200 3240 3360 3402 3456 3528 3584 3600 3645 3675 3780 3840 3888 3920 3969 4032 4050 4096 4200 4204 4320 4374 4410 4480 4536 4608 4704 4725 4800 4860 4900 5040 5103 5120 5184 5255 5292 5376 5400 5600 5670 5760 5832 5880 6048 6075 6144 6272 6300 6306 6400 6480 6561 6615 6720 6804 6912 7056 7168 7200 7290 7350 7357 7560 7680 7776 7840 7938 8064 8100 8192 8400 8408 8505 8640 8748 8820 8960 9072 9216 9408 9450 9459 9600 9720 9800 10080 10206 10240 10368 10510 10584 10752 10800 10935 11025 11200 11340 11520 11664 11760 11907 12096 12150 12288 12544 12600 12612 12800 12960 13122 13230 13440 13608 13824 14112 14175 14336 14400 14580 14700 14714 15120 15309 15360 15552 15680 15765 15876 16128 16200 16384 16800 16816 17010 17280 17496 17640 17920 18144 18225 18432 18816 18900 18918 19200 19440 19600 19845 20160 20412 20480 20736 21020 21168 21504 21600 21870 22050 22071 22400 22680 23040 23328 23520 23814 24192 24300 24576 25088 25200 25224 25515 25600 25920 26244 26275 26460 26880 27216 27648 28224 28350 28377 28672 28800 29160 29400 29428 30240 30618 30720 31104 31360 31530 31752 32256 32400 32805 33075 33600 33632 34020 34560 34992 35280 35721 35840 36288 36450 36785 36864 37632 37800 37836 38400 38880 39200 39690 40320 40824 40960 41472 42040 42336 42525 43008 43200 43740 44100 44142 44800 45360 45927 46080 46656 47040 47295 47628 48384 48600 49152 50176 50400 50448 51030 51200 51499 51840 52488 52550 52920 53760 54432 54675 55296 56448 56700 56754 57344 57600 58320 58800 58856 59535 60480 61236 61440 62208 62720 63060 63504 64512 64800 65610 66150 66213 67200 67264 68040 69120 69984 70560 71442 71680 72576 72900 73570 73728 75264 75600 75672 76545 76800 77760 78400 78825 79380 80640 81648 81920 82944 84080 84672 85050 85131 86016 86400 87480 88200 88284 89600 90720 91854 92160 93312 94080 94590 95256 96768 97200 99225 100352 100800 100896 102060 102400 102998 103680 104976 105100 105840 107163 107520 108864 109350 110355 110592 112896 113400 113508 114688 115200 116640 117600 117712 119070 120960 122472 122880 124416 125440 126120 127008 127575 129024 129600 131220 132300 132426 134400 134528 136080 138240 139968 141120 141885 142884 143360 145152 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32920473600 32951826432 33788493900 34172264448 34324819200 34869657600 35305528320 35596108800 36041060160 36613140480 37659230208 37969182720 38443797504 38615421600 39228364800 40045622400 40681267200 41189783040 42715330560 43249272192 43893964800 43935768576 44131910400 45051325200 45766425600 47074037760 47461478400 48054746880 48817520640 49427739648 51258396672 51487228800 52304486400 53394163200 54061590240 54919710720 56488845312 56953774080 57665696256 58842547200 60068433600 61021900800 61784674560 62765383680 63281971200 64072995840 65840947200 65903652864 67576987800 68344528896 68649638400 70611056640 71192217600 72082120320 73226280960 76887595008 77230843200 78456729600 80091244800 81362534400 82379566080 85430661120 86498544384 87871537152 88263820800 90102650400 91532851200 94148075520 94922956800 96109493760 98855479296 102516793344 102974457600 104608972800 106788326400 108123180480 109839421440 112977690624 113907548160 115331392512 117685094400 120136867200 122043801600 123569349120 128145991680 131681894400 131807305728 135153975600 137299276800 141222113280 142384435200 144164240640 146452561920 153775190016 154461686400 156913459200 160182489600 164759132160 170861322240 172997088768 176527641600 180205300800 183065702400 188296151040 189845913600 192218987520 197710958592 205033586688 205948915200 213576652800 216246360960 219678842880 230662785024 235370188800 240273734400 244087603200 247138698240 256291983360 263614611456 270307951200 274598553600 282444226560 284768870400 288328481280 307550380032 308923372800 313826918400 320364979200 329518264320 341722644480 345994177536 353055283200 360410601600 366131404800 384437975040 395421917184 411897830400 427153305600 432492721920 439357685760 461325570048 470740377600 480547468800 494277396480 512583966720 540615902400 549197107200 564888453120 569537740800 576656962560 615100760064 617846745600 640729958400 659036528640 691988355072 706110566400 720821203200 732262809600 768875950080 790843834368 823795660800 854306611200 864985443840 922651140096 941480755200 961094937600 988554792960 1025167933440 1081231804800 1098394214400 1153313925120 1235693491200 1281459916800 1318073057280 1383976710144 1412221132800 1441642406400 1537751900160 1647591321600 1708613222400 1729970887680 1845302280192 1922189875200 1977109585920 2162463609600 2196788428800 2306627850240 2471386982400 2562919833600 2767953420288 2824442265600 2883284812800 3075503800320 3295182643200 3459941775360 3844379750400 3954219171840 4324927219200 4613255700480 4942773964800 5125839667200 5535906840576 5766569625600 6590365286400 6919883550720 7688759500800 8649854438400 9226511400960 9885547929600 11533139251200 13839767101440 15377519001600 17299708876800 19771095859200 23066278502400 27679534202880 34599417753600 46132557004800 69198835507200 138397671014400
- Sum of all divisors σ(n): 599415822007548
- Sum of proper divisors (its aliquot sum) s(n): 461018150993148
- 138397671014400 is an abundant number, because the sum of its proper divisors (461018150993148) is greater than itself. Its abundance is 322620479978748
Bases of 138397671014400
- Binary: 111110111011111001110000000010011000000000000002
- Hexadecimal: 0x7DDF3804C000
- Base-36: 1D230G0000
Squares and roots of 138397671014400
- 138397671014400 squared (1383976710144002) is 19153915342210093925007360000
- 138397671014400 cubed (1383976710144003) is 2650857274168861372840092634378665984000000
-
The
square root of 138397671014400 is 11764253.9506081727 -
The
cube root of 138397671014400 is 51726.0831879917
Scales and comparisons
How big is 138397671014400?- 138,397,671,014,400 seconds is equal to 4,400,617 years, 44 weeks.
-
To count from 1 to 138,397,671,014,400 would take you about eleven million, one thousand, five hundred forty-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 138397671014400 cubic inches would be around 4310.5 feet tall.
Recreational maths with 138397671014400
- 138397671014400 backwards is 004410176793831
- 138397671014400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138397671014400's digits is 54
- More coming soon!
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"Number 138397671014400 - Facts about the integer". Numbermatics.com. 2024. Web. 27 May 2024.
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Numbermatics. (2024). Number 138397671014400 - Facts about the integer. Retrieved 27 May 2024, from https://numbermatics.com/n/138397671014400/
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The information we have on file for 138397671014400 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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