138936197894400
138,936,197,894,400 is an even composite number composed of five prime numbers multiplied together.
What does the number 138936197894400 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2187 divisors.
138936197894400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, one hundred eighty-seven divisors.
Prime factorization of 138936197894400:
28 × 38 × 52 × 172 × 1072
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 17 × 17 × 107 × 107)See below for interesting mathematical facts about the number 138936197894400 from the Numbermatics database.
Names of 138936197894400
- Cardinal: 138936197894400 can be written as One hundred thirty-eight trillion, nine hundred thirty-six billion, one hundred ninety-seven million, eight hundred ninety-four thousand, four hundred.
Scientific notation
- Scientific notation: 1.389361978944 × 1014
Factors of 138936197894400
Divisors of 138936197894400
- Number of divisors d(n): 2187
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 27 30 32 34 36 40 45 48 50 51 54 60 64 68 72 75 80 81 85 90 96 100 102 107 108 120 128 135 136 144 150 153 160 162 170 180 192 200 204 214 216 225 240 243 255 256 270 272 288 289 300 306 320 321 324 340 360 384 400 405 408 425 428 432 450 459 480 486 510 535 540 544 576 578 600 612 640 642 648 675 680 720 729 765 768 800 810 816 850 856 864 867 900 918 960 963 972 1020 1070 1080 1088 1152 1156 1200 1215 1224 1275 1280 1284 1296 1350 1360 1377 1440 1445 1458 1530 1600 1605 1620 1632 1700 1712 1728 1734 1800 1819 1836 1920 1926 1944 2025 2040 2140 2160 2176 2187 2295 2304 2312 2400 2430 2448 2550 2568 2592 2601 2675 2700 2720 2754 2880 2889 2890 2916 3060 3200 3210 3240 3264 3400 3424 3456 3468 3600 3638 3645 3672 3825 3840 3852 3888 4050 4080 4131 4280 4320 4335 4352 4374 4590 4624 4800 4815 4860 4896 5100 5136 5184 5202 5350 5400 5440 5457 5508 5760 5778 5780 5832 6075 6120 6400 6420 6480 6528 6561 6800 6848 6885 6912 6936 7200 7225 7276 7290 7344 7650 7704 7776 7803 8025 8100 8160 8262 8560 8640 8667 8670 8748 9095 9180 9248 9600 9630 9720 9792 10200 10272 10368 10404 10700 10800 10880 10914 10935 11016 11449 11475 11520 11556 11560 11664 12150 12240 12393 12840 12960 13005 13056 13122 13600 13696 13770 13872 14400 14445 14450 14552 14580 14688 15300 15408 15552 15606 16050 16200 16320 16371 16524 17120 17280 17334 17340 17496 18190 18225 18360 18496 19200 19260 19440 19584 20400 20544 20655 20736 20808 21400 21600 21675 21760 21828 21870 22032 22898 22950 23112 23120 23328 23409 24075 24300 24480 24786 25680 25920 26001 26010 26244 27200 27285 27392 27540 27744 28800 28890 28900 29104 29160 29376 30600 30816 30923 31104 31212 32100 32400 32640 32742 32805 33048 34240 34347 34425 34560 34668 34680 34992 36380 36450 36720 36992 37179 38520 38880 39015 39168 40800 41088 41310 41616 42800 43200 43335 43350 43656 43740 44064 45475 45796 45900 46224 46240 46656 46818 48150 48600 48960 49113 49572 51360 51840 52002 52020 52488 54400 54570 54675 55080 55488 57245 57600 57780 57800 58208 58320 58752 61200 61632 61846 61965 62208 62424 64200 64800 65025 65280 65484 65610 66096 68480 68694 68850 69336 69360 69984 70227 72225 72760 72900 73440 73984 74358 77040 77760 78003 78030 81600 81855 82176 82620 83232 85600 86400 86670 86700 87312 87480 88128 90950 91592 91800 92448 92480 92769 93312 93636 96300 97200 97920 98226 99144 102720 103041 103275 103680 104004 104040 104976 108800 109140 109350 110160 110976 111537 114490 115560 115600 116416 116640 117045 117504 122400 123264 123692 123930 124848 128400 129600 130005 130050 130968 131220 132192 136425 136960 137388 137700 138672 138720 139968 140454 144450 145520 145800 146880 147339 148716 154080 154615 155520 156006 156060 163200 163710 164025 165240 166464 171200 171735 172800 173340 173400 174624 174960 176256 181900 183184 183600 184896 184960 185538 185895 186624 187272 192600 194400 194633 195075 195840 196452 198288 205440 206082 206550 208008 208080 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96149617920 96483470760 100897747200 102158969040 102915702144 107203856400 108205761600 108543904605 108969566976 113509965600 114350780160 115780164912 120187022400 120604338450 127698711300 128644627680 129846913920 136211958720 142938475200 144274348800 144725206140 151346620800 154373553216 160249363200 160805784600 162308642400 163454350464 170264948400 171526170240 173670247368 180906507675 181615944960 190584633600 192966941520 204317938080 205831404288 214407712800 216411523200 217087809210 227019931200 231560329824 240374044800 241208676900 255397422600 257289255360 259693827840 272423917440 285876950400 289450412280 302693241600 308747106432 321611569200 324617284800 326908700928 340529896800 343052340480 347340494736 361813015350 385933883040 408635876160 428815425600 432823046400 434175618420 454039862400 463120659648 480748089600 482417353800 510794845200 514578510720 542719523025 544847834880 571753900800 578900824560 617494212864 643223138400 649234569600 681059793600 694680989472 723626030700 771867766080 817271752320 857630851200 868351236840 908079724800 926241319296 964834707600 1021589690400 1029157021440 1085439046050 1157801649120 1286446276800 1298469139200 1362119587200 1389361978944 1447252061400 1543735532160 1634543504640 1715261702400 1736702473680 1852482638592 1929669415200 2043179380800 2170878092100 2315603298240 2572892553600 2724239174400 2778723957888 2894504122800 3087471064320 3473404947360 3859338830400 4086358761600 4341756184200 4631206596480 5145785107200 5557447915776 5789008245600 6946809894720 7718677660800 8172717523200 8683512368400 9262413192960 11578016491200 13893619789440 15437355321600 17367024736800 23156032982400 27787239578880 34734049473600 46312065964800 69468098947200 138936197894400
- Sum of all divisors σ(n): 553102109096719
- Sum of proper divisors (its aliquot sum) s(n): 414165911202319
- 138936197894400 is an abundant number, because the sum of its proper divisors (414165911202319) is greater than itself. Its abundance is 275229713307919
Bases of 138936197894400
- Binary: 111111001011100100110101011100011010001000000002
- Hexadecimal: 0x7E5C9AB8D100
- Base-36: 1D8YEP0000
Squares and roots of 138936197894400
- 138936197894400 squared (1389361978944002) is 19303267085351878993551360000
- 138936197894400 cubed (1389361978944003) is 2681922535778906555306934054410256384000000
-
138936197894400 is a
perfect square number . Itssquare root is 11787120 -
The
cube root of 138936197894400 is 51793.0877682555
Scales and comparisons
How big is 138936197894400?- 138,936,197,894,400 seconds is equal to 4,417,741 years, 17 weeks, 3 days.
-
To count from 1 to 138,936,197,894,400 would take you about eleven million, forty-four thousand, three hundred fifty-three 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 138936197894400 cubic inches would be around 4316.1 feet tall.
Recreational maths with 138936197894400
- 138936197894400 backwards is 004498791639831
- 138936197894400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138936197894400's digits is 72
- More coming soon!
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The information we have on file for 138936197894400 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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