138288644643024000
138,288,644,643,024,000 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138288644643024000 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 3072 divisors.
138288644643024000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of three thousand and seventy-two divisors.
Prime factorization of 138288644643024000:
27 × 32 × 53 × 17 × 23 × 313 × 683 × 11489
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 17 × 23 × 313 × 683 × 11489)See below for interesting mathematical facts about the number 138288644643024000 from the Numbermatics database.
Names of 138288644643024000
- Cardinal: 138288644643024000 can be written as One hundred thirty-eight quadrillion, two hundred eighty-eight trillion, six hundred forty-four billion, six hundred forty-three million, twenty-four thousand.
Scientific notation
- Scientific notation: 1.38288644643024 × 1017
Factors of 138288644643024000
Divisors of 138288644643024000
- Number of divisors d(n): 3072
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 23 24 25 30 32 34 36 40 45 46 48 50 51 60 64 68 69 72 75 80 85 90 92 96 100 102 115 120 125 128 136 138 144 150 153 160 170 180 184 192 200 204 207 225 230 240 250 255 272 276 288 300 306 313 320 340 345 360 368 375 384 391 400 408 414 425 450 460 480 500 510 544 552 575 576 600 612 626 640 680 683 690 720 736 750 765 782 800 816 828 850 900 920 939 960 1000 1020 1035 1088 1104 1125 1150 1152 1173 1200 1224 1252 1275 1360 1366 1380 1440 1472 1500 1530 1564 1565 1600 1632 1656 1700 1725 1800 1840 1878 1920 1955 2000 2040 2049 2070 2125 2176 2208 2250 2300 2346 2400 2448 2504 2550 2720 2732 2760 2817 2875 2880 2944 3000 3060 3128 3130 3200 3264 3312 3400 3415 3450 3519 3600 3680 3756 3825 3910 4000 4080 4098 4140 4250 4416 4500 4600 4692 4695 4800 4896 5008 5100 5175 5321 5440 5464 5520 5634 5750 5760 5865 6000 6120 6147 6256 6260 6375 6528 6624 6800 6830 6900 7038 7199 7200 7360 7512 7650 7820 7825 8000 8160 8196 8280 8500 8625 8832 9000 9200 9384 9390 9600 9775 9792 10016 10200 10245 10350 10642 10880 10928 11040 11268 11489 11500 11611 11730 12000 12240 12294 12512 12520 12750 13248 13600 13660 13800 14076 14085 14398 14400 14720 15024 15300 15640 15650 15709 15963 16000 16320 16392 16560 17000 17075 17250 17595 18000 18400 18768 18780 19125 19550 19584 20032 20400 20490 20700 21284 21597 21856 22080 22536 22978 23000 23222 23460 23475 24000 24480 24588 25024 25040 25500 25875 26496 26605 27200 27320 27600 28152 28170 28796 28800 29325 30048 30600 30735 31280 31300 31418 31926 32640 32784 33120 34000 34150 34467 34500 34833 35190 35995 36000 36800 37536 37560 38250 39100 39125 40064 40800 40980 41400 42568 43194 43712 44160 45072 45956 46000 46444 46920 46950 47127 47889 48000 48875 48960 49176 50048 50080 51000 51225 51750 53210 54400 54640 55200 56304 56340 57445 57592 58055 58650 60096 61200 61470 62560 62600 62836 63852 64791 65568 66240 68000 68300 68934 69000 69666 70380 70425 71990 72000 73600 75072 75120 76500 78200 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601254976708800 614616198413440 668061085232000 677885512956000 691443223215120 720253357515750 751568720886000 768270248016800 813462615547200 864304029018900 903847350608000 921924297620160 960337810021000 1002091627848000 1016828269434000 1080380036273625 1106309157144192 1152405372025200 1202509953417600 1355771025912000 1382886446430240 1440506715031500 1503137441772000 1536540496033600 1626925231094400 1728608058037800 1843848595240320 1920675620042000 2004183255696000 2033656538868000 2160760072547250 2304810744050400 2711542051824000 2765772892860480 2881013430063000 3006274883544000 3073080992067200 3457216116075600 3841351240084000 4067313077736000 4321520145094500 4609621488100800 5531545785720960 5762026860126000 6012549767088000 6914432232151200 7682702480168000 8134626155472000 8643040290189000 9219242976201600 11524053720252000 13828864464302400 15365404960336000 17286080580378000 23048107440504000 27657728928604800 34572161160756000 46096214881008000 69144322321512000 138288644643024000
- Sum of all divisors σ(n): 551312267653555200
- Sum of proper divisors (its aliquot sum) s(n): 413023623010531200
- 138288644643024000 is an abundant number, because the sum of its proper divisors (413023623010531200) is greater than itself. Its abundance is 274734978367507200
Bases of 138288644643024000
- Binary: 1111010110100110011001010001001000110101011101100100000002
- Hexadecimal: 0x1EB4CCA246AEC80
- Base-36: 11TN8EBLGKG0
Squares and roots of 138288644643024000
- 138288644643024000 squared (1382886446430240002) is 19123749237204570452391864576000000
- 138288644643024000 cubed (1382886446430240003) is 2644597362506084127967969219425501271117824000000000
-
The
square root of 138288644643024000 is 371871812.1114102405 -
The
cube root of 138288644643024000 is 517124.9676308503
Scales and comparisons
How big is 138288644643024000?- 138,288,644,643,024,000 seconds is equal to 4,397,151,144 years, 40 weeks, 5 days, 16 hours.
-
To count from 1 to 138,288,644,643,024,000 would take you about thirteen billion, one hundred ninety-one million, four hundred fifty-three thousand, four hundred thirty-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 138288644643024000 cubic inches would be around 43093.7 feet tall.
Recreational maths with 138288644643024000
- 138288644643024000 backwards is 000420346446882831
- The number of decimal digits it has is: 18
- The sum of 138288644643024000's digits is 63
- More coming soon!
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"Number 138288644643024000 - Facts about the integer". Numbermatics.com. 2024. Web. 13 May 2024.
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Numbermatics. (2024). Number 138288644643024000 - Facts about the integer. Retrieved 13 May 2024, from https://numbermatics.com/n/138288644643024000/
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The information we have on file for 138288644643024000 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 138288644643024000, math, Factors of 138288644643024000, curriculum, school, college, exams, university, Prime factorization of 138288644643024000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, two hundred eighty-eight trillion, six hundred forty-four billion, six hundred forty-three million, twenty-four thousand.