138055830494400
138,055,830,494,400 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138055830494400 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2688 divisors.
138055830494400 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, six hundred eighty-eight divisors.
Prime factorization of 138055830494400:
26 × 33 × 52 × 7 × 13 × 23 × 757 × 2017
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 7 × 13 × 23 × 757 × 2017)See below for interesting mathematical facts about the number 138055830494400 from the Numbermatics database.
Names of 138055830494400
- Cardinal: 138055830494400 can be written as One hundred thirty-eight trillion, fifty-five billion, eight hundred thirty million, four hundred ninety-four thousand, four hundred.
Scientific notation
- Scientific notation: 1.380558304944 × 1014
Factors of 138055830494400
Divisors of 138055830494400
- Number of divisors d(n): 2688
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 23 24 25 26 27 28 30 32 35 36 39 40 42 45 46 48 50 52 54 56 60 63 64 65 69 70 72 75 78 80 84 90 91 92 96 100 104 105 108 112 115 117 120 126 130 135 138 140 144 150 156 160 161 168 175 180 182 184 189 192 195 200 207 208 210 216 224 225 230 234 240 252 260 270 273 276 280 288 299 300 312 315 320 322 325 336 345 350 351 360 364 368 378 390 400 414 416 420 432 448 450 455 460 468 480 483 504 520 525 540 546 552 560 575 576 585 598 600 621 624 630 644 650 672 675 690 700 702 720 728 736 756 757 780 800 805 819 828 832 840 864 897 900 910 920 936 945 960 966 975 1008 1035 1040 1050 1080 1092 1104 1120 1150 1170 1196 1200 1242 1248 1260 1288 1300 1344 1350 1365 1380 1400 1404 1440 1449 1456 1472 1495 1512 1514 1560 1575 1600 1610 1638 1656 1680 1725 1728 1755 1794 1800 1820 1840 1872 1890 1932 1950 2016 2017 2070 2080 2093 2100 2160 2184 2208 2240 2271 2275 2300 2340 2392 2400 2415 2457 2484 2496 2520 2576 2600 2691 2700 2730 2760 2800 2808 2880 2898 2912 2925 2990 3024 3028 3105 3120 3150 3220 3276 3312 3360 3450 3510 3588 3600 3640 3680 3744 3780 3785 3864 3900 4025 4032 4034 4095 4140 4160 4186 4200 4320 4347 4368 4416 4485 4542 4550 4600 4680 4725 4784 4800 4830 4914 4968 5040 5152 5175 5200 5299 5382 5400 5460 5520 5600 5616 5796 5824 5850 5980 6048 6051 6056 6210 6240 6279 6300 6440 6552 6624 6720 6813 6825 6900 7020 7176 7200 7245 7280 7360 7475 7488 7560 7570 7728 7800 8050 8068 8073 8190 8280 8372 8400 8640 8694 8736 8775 8970 9084 9100 9200 9360 9450 9568 9660 9828 9841 9936 10080 10085 10304 10350 10400 10465 10598 10764 10800 10920 11040 11200 11232 11355 11592 11700 11960 12075 12096 12102 12112 12285 12420 12480 12558 12600 12880 13104 13248 13455 13626 13650 13800 14040 14119 14352 14400 14490 14560 14950 15120 15140 15456 15525 15600 15897 16100 16136 16146 16380 16560 16744 16800 17388 17411 17472 17550 17940 18153 18168 18200 18400 18720 18837 18900 18925 19136 19320 19656 19682 19872 20160 20170 20439 20475 20700 20800 20930 21196 21528 21600 21735 21840 22080 22425 22464 22710 23184 23400 23920 24150 24204 24224 24570 24840 25116 25200 25760 26208 26221 26495 26910 27252 27300 27600 28080 28238 28704 28980 29120 29523 29900 30240 30255 30280 30912 31050 31200 31395 31794 32200 32272 32292 32760 33120 33488 33600 34065 34776 34822 35100 35880 36225 36306 36336 36400 36800 37440 37674 37800 37850 38640 39312 39364 39744 40340 40365 40878 40950 41400 41860 42357 42392 43056 43200 43470 43680 44850 45420 46368 46391 46800 47691 47840 48300 48408 48448 49140 49205 49680 50232 50400 50425 51520 52233 52325 52416 52442 52990 53820 54459 54504 54600 55200 56160 56476 56511 56775 57408 57960 59046 59800 60480 60510 60560 61425 62100 62400 62790 63588 64400 64544 64584 65520 66240 66976 67275 68130 68887 69552 69644 70200 70595 71760 72450 72612 72672 72800 75348 75600 75700 77280 78624 78663 78728 79485 80680 80730 81756 81900 82800 83720 84714 84784 86112 86940 87055 87360 88569 89700 90765 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57165975360 57523262706 57715648200 58998218160 60024274128 60683881536 60790766400 61632067185 62525285550 63212376600 63914736340 65740871664 65960740800 66372995430 66693637920 68446123200 68480074650 70797861792 71457469200 73045412960 73747772700 75030342660 75854851920 76697683608 76954197600 78664290880 79893420425 80032365504 82176089580 83367047400 84283168800 85748963040 86284894059 87654495552 88497327240 91186149600 91306766200 92345037120 93787928325 94818564900 95276625600 95872104510 98330363600 98611307496 100040456880 101139802560 102263578144 102720111975 106196792688 107186203800 109568119440 110621659050 111156063200 115046525412 115431296400 117996436320 120048548256 123264134370 125050571100 126424753200 127829472680 131481743328 132745990860 133387275840 136960149300 141595723584 142914938400 143808156765 146090825920 147495545400 150060685320 151709703840 153395367216 153908395200 159786840850 164352179160 165932488575 166734094800 168566337600 171497926080 172569788118 176994654480 182372299200 182613532400 187575856650 189637129800 191744209020 196660727200 197222614992 200080913760 204527156288 205440223950 212393585376 214372407600 219136238880 221243318100 222312126400 230093050824 230862592800 235992872640 239680261275 240097096512 246528268740 250101142200 252849506400 255658945360 262963486656 265491981720 273920298600 285829876800 287616313530 294991090800 300121370640 303419407680 306790734432 308160335925 319573681700 328704358320 331864977150 333468189600 345139576236 353989308960 365227064800 375151713300 379274259600 383488418040 393321454400 394445229984 400161827520 410880447900 424787170752 428744815200 431424470295 438272477760 442486636200 460186101648 461725185600 479360522550 493056537480 500202284400 505699012800 511317890720 530983963440 547840597200 575232627060 589982181600 600242741280 613581468864 616320671850 639147363400 657408716640 663729954300 666936379200 690279152472 707978617920 719040783825 730454129600 750303426600 758548519200 766976836080 788890459968 821760895800 857489630400 862848940590 884973272400 920372203296 958721045100 986113074960 1000404568800 1022635781440 1061967926880 1095681194400 1150465254120 1179964363200 1200485482560 1232641343700 1278294726800 1314817433280 1327459908600 1380558304944 1438081567650 1500606853200 1517097038400 1533953672160 1643521791600 1725697881180 1769946544800 1840744406592 1917442090200 1972226149920 2000809137600 2123935853760 2157122351475 2191362388800 2300930508240 2465282687400 2556589453600 2654919817200 2761116609888 2876163135300 3001213706400 3067907344320 3287043583200 3451395762360 3539893089600 3834884180400 3944452299840 4314244702950 4601861016480 4930565374800 5113178907200 5309839634400 5522233219776 5752326270600 6002427412800 6574087166400 6902791524720 7669768360800 8628489405900 9203722032960 9861130749600 10619679268800 11504652541200 13805583049440 15339536721600 17256978811800 19722261499200 23009305082400 27611166098880 34513957623600 46018610164800 69027915247200 138055830494400
- Sum of all divisors σ(n): 647507850178560
- Sum of proper divisors (its aliquot sum) s(n): 509452019684160
- 138055830494400 is an abundant number, because the sum of its proper divisors (509452019684160) is greater than itself. Its abundance is 371396189189760
Bases of 138055830494400
- Binary: 111110110001111101000001011110001011100110000002
- Hexadecimal: 0x7D8FA0BC5CC0
- Base-36: 1CXPZ0ZAO0
Squares and roots of 138055830494400
- 138055830494400 squared (1380558304944002) is 19059412333498504948431360000
- 138055830494400 cubed (1380558304944003) is 2631262998436346362096459449333264384000000
-
The
square root of 138055830494400 is 11749716.1878234319 -
The
cube root of 138055830494400 is 51683.4604829039
Scales and comparisons
How big is 138055830494400?- 138,055,830,494,400 seconds is equal to 4,389,748 years, 19 weeks, 3 days, 12 hours.
-
To count from 1 to 138,055,830,494,400 would take you about ten million, nine hundred seventy-four thousand, three hundred seventy 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 138055830494400 cubic inches would be around 4307 feet tall.
Recreational maths with 138055830494400
- 138055830494400 backwards is 004494038550831
- 138055830494400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138055830494400's digits is 54
- More coming soon!
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"Number 138055830494400 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
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Numbermatics. (2024). Number 138055830494400 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/138055830494400/
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The information we have on file for 138055830494400 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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