138129482400
138,129,482,400 is an even composite number composed of eight prime numbers multiplied together.
138129482400 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138129482400:
25 × 3 × 52 × 7 × 13 × 29 × 113 × 193
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 13 × 29 × 113 × 193)See below for interesting mathematical facts about the number 138129482400 from the Numbermatics database.
Names of 138129482400
- Cardinal: 138129482400 can be written as One hundred thirty-eight billion, one hundred twenty-nine million, four hundred eighty-two thousand, four hundred.
Scientific notation
- Scientific notation: 1.381294824 × 1011
Factors of 138129482400
Divisors of 138129482400
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 25 26 28 29 30 32 35 39 40 42 48 50 52 56 58 60 65 70 75 78 80 84 87 91 96 100 104 105 112 113 116 120 130 140 145 150 156 160 168 174 175 182 193 195 200 203 208 210 224 226 232 240 260 273 280 290 300 312 325 336 339 348 350 364 377 386 390 400 406 416 420 435 452 455 464 480 520 525 546 560 565 579 580 600 609 624 650 672 678 696 700 725 728 754 772 780 791 800 812 840 870 904 910 928 965 975 1015 1040 1050 1092 1120 1130 1131 1158 1160 1200 1218 1248 1300 1351 1356 1365 1392 1400 1450 1456 1469 1508 1544 1560 1582 1624 1680 1695 1740 1808 1820 1885 1930 1950 2030 2080 2100 2175 2184 2260 2262 2275 2316 2320 2373 2400 2436 2509 2600 2639 2702 2712 2730 2784 2800 2825 2895 2900 2912 2938 3016 3045 3088 3120 3164 3248 3277 3360 3390 3480 3616 3640 3770 3860 3900 3955 4053 4060 4200 4350 4368 4407 4520 4524 4550 4632 4640 4746 4825 4872 5018 5075 5200 5278 5404 5424 5460 5597 5600 5650 5655 5790 5800 5876 6032 6090 6176 6240 6328 6496 6554 6755 6780 6825 6960 7280 7345 7527 7540 7720 7800 7910 7917 8106 8120 8400 8475 8700 8736 8814 9040 9048 9100 9264 9425 9492 9650 9744 9831 10036 10150 10283 10400 10556 10808 10848 10920 11194 11300 11310 11580 11600 11752 11865 12064 12180 12545 12656 13108 13195 13510 13560 13650 13920 14475 14560 14690 15054 15080 15225 15440 15600 15820 15834 16212 16240 16385 16791 16800 16950 17400 17563 17628 18080 18096 18200 18528 18850 18984 19300 19488 19662 19775 20072 20265 20300 20566 21112 21616 21809 21840 22035 22388 22600 22620 22939 23160 23200 23504 23730 24360 25090 25312 26216 26390 27020 27120 27300 27985 28275 28950 29380 30108 30160 30450 30849 30880 31200 31640 31668 32424 32480 32770 33582 33775 33900 34800 35126 35256 36192 36400 36725 37635 37700 37968 38600 39179 39324 39550 39585 40144 40530 40600 41132 42224 42601 43232 43618 43680 44070 44776 45200 45240 45878 46320 47008 47460 48720 49155 50180 51415 52432 52689 52780 54040 54240 54600 55970 56550 57900 58760 59325 60216 60320 60900 61698 62725 63280 63336 64848 65427 65540 65975 67164 67550 67800 68817 69600 70252 70512 72761 72800 73450 75270 75400 75936 77200 78358 78648 79100 79170 80288 81060 81200 81925 82264 83955 84448 85202 87236 87815 88140 89552 90400 90480 91756 92640 94920 97440 98310 100360 101325 102830 104864 105378 105560 108080 109045 109200 110175 111940 113100 114695 115800 117520 117537 118650 120432 121800 123396 125450 126560 126672 127803 129696 130854 131080 131950 134328 135100 135600 137634 139925 140504 141024 145522 146900 150540 150800 152663 154245 154400 156716 157296 158200 158340 162120 162400 163850 164528 167910 170404 174472 175630 176280 179104 180960 183512 188175 189840 195895 196620 197925 200720 202650 205660 210756 211120 213005 216160 218090 218283 218400 220350 223880 226200 229390 231600 235040 235074 237300 240864 243600 245775 246792 250900 253344 255606 257075 261708 262160 263445 263900 268656 270200 271200 275268 279850 281008 283517 291044 293800 298207 301080 301600 305326 308490 313432 314592 316400 316680 324240 327135 327700 329056 335820 340808 344085 348944 351260 352560 363805 367024 376350 379680 391790 393240 395850 401440 405300 411320 419775 421512 422240 426010 436180 436566 439075 440700 447760 452400 457989 458780 463200 470148 474600 487200 491550 493584 501800 509327 511212 514150 523416 524320 526890 527800 537312 540400 545225 550536 559700 562016 567034 573475 582088 587600 587685 596414 602160 610652 616980 626864 632461 632800 633360 639015 648480 654270 655400 671640 681616 688170 697888 702520 705120 727610 734048 752700 763315 771225 783580 786480 791700 810600 822640 839550 843024 850551 852020 872360 873132 878150 881400 894621 895520 904800 915978 917560 940296 949200 979475 983100 987168 1003600 1018654 1022424 1028300 1046832 1053780 1055600 1065025 1080800 1090450 1091415 1101072 1119400 1134068 1146950 1164176 1175200 1175370 1192828 1204320 1221304 1233960 1253728 1264922 1266720 1278030 1308540 1310800 1317225 1343280 1363232 1376340 1405040 1417585 1455220 1491035 1505400 1526630 1527981 1542450 1567160 1572960 1583400 1621200 1635675 1645280 1679100 1686048 1701102 1704040 1720425 1744720 1746264 1756300 1762800 1789242 1819025 1831956 1835120 1880592 1897383 1898400 1958950 1966200 1984619 2007200 2037308 2044848 2056600 2093664 2107560 2111200 2130050 2180900 2182830 2202144 2238800 2268136 2289945 2293900 2328352 2350740 2385656 2442608 2467920 2529844 2546635 2556060 2617080 2621600 2634450 2686560 2752680 2810080 2835170 2910440 2938425 2982070 3010800 3053260 3055962 3084900 3134320 3162305 3166800 3195075 3242400 3271350 3358200 3402204 3408080 3440850 3489440 3492528 3512600 3525600 3578484 3638050 3663912 3670240 3761184 3794766 3816575 3917900 3932400 3969238 4074616 4089696 4113200 4215120 4252755 4260100 4361800 4365660 4427227 4473105 4477600 4536272 4579890 4587800 4701480 4771312 4885216 4935840 5059688 5093270 5112120 5234160 5268900 5457075 5505360 5670340 5820880 5876850 5953857 5964140 6021600 6106520 6111924 6169800 6268640 6324610 6333600 6390150 6542700 6716400 6804408 6816160 6881700 6985056 7025200 7087925 7156968 7276100 7327824 7455175 7589532 7633150 7639905 7835800 7864800 7938476 8149232 8221993 8226400 8430240 8505510 8520200 8723600 8731320 8854454 8946210 9072544 9159780 9175600 9402960 9486915 9542624 9923095 10119376 10186540 10224240 10468320 10537800 10914150 11010720 11340680 11449725 11641760 11753700 11907714 11928280 12213040 12223848 12339600 12649220 12733175 12780300 13085400 13281681 13432800 13608816 13763400 14050400 14175850 14313936 14552200 14655648 14910350 15179064 15266300 15279810 15671600 15811525 15876952 16298464 16443986 17011020 17040400 17447200 17462640 17708908 17892420 18319560 18351200 18805920 18973830 19846190 20238752 20373080 20448480 21075600 21263775 21828300 22136135 22365525 22681360 22899450 23507400 23815428 23856560 24426080 24447696 24665979 24679200 25298440 25466350 25560600 26170800 26563362 27217632 27526800 28351700 28627872 29104400 29769285 29820700 30358128 30532600 30559620 31343200 31623050 31753904 32887972 34022040 34080800 34925280 35417816 35784840 36639120 37947660 38199525 39692380 40746160 41109965 42151200 42527550 43656600 44272270 44731050 45362720 45798900 47014800 47434575 47630856 47713120 48895392 49331958 49615475 50596880 50932700 51121200 52341600 53126724 55053600 56703400 57553951 58208800 59538570 59641400 60716256 61065200 61119240 63246100 63507808 65775944 66408405 68044080 70835632 71569680 73278240 75895320 76399050 79384760 81492320 82219930 85055100 87313200 88544540 89462100 91597800 94029600 94869150 95261712 98663916 99230950 101193760 101865400 102242400 106253448 110680675 113406800 115107902 119077140 119282800 122130400 122238480 123329895 126492200 131551888 132816810 136088160 141671264 143139360 148846425 151790640 152798100 158769520 164439860 170110200 172661853 174626400 177089080 178924200 183195600 189738300 190523424 197327832 198461900 203730800 205549825 212506896 221361350 226813600 230215804 238154280 238565600 244476960 246659790 252984400 263103776 265633620 287769755 297692850 303581280 305596200 317539040 328879720 332042025 340220400 345323706 354178160 357848400 366391200 379476600 394655664 396923800 407461600 411099650 425013792 442722700 460431608 476308560 493319580 505968800 531267240 575539510 595385700 611192400 616649475 657759440 664084050 680440800 690647412 708356320 715696800 758953200 789311328 793847600 822199300 863309265 885445400 920863216 952617120 986639160 1062534480 1151079020 1190771400 1222384800 1233298950 1315518880 1328168100 1381294824 1438848775 1517906400 1587695200 1644398600 1726618530 1770890800 1841726432 1973278320 2125068960 2302158040 2381542800 2466597900 2656336200 2762589648 2877697550 3288797200 3453237060 3541781600 3946556640 4316546325 4604316080 4763085600 4933195800 5312672400 5525179296 5755395100 6577594400 6906474120 8633092650 9208632160 9866391600 10625344800 11510790200 13812948240 17266185300 19732783200 23021580400 27625896480 34532370600 46043160800 69064741200 138129482400
- Sum of all divisors σ(n): 580507845120
- Sum of proper divisors (its aliquot sum) s(n): 442378362720
- 138129482400 is an abundant number, because the sum of its proper divisors (442378362720) is greater than itself. Its abundance is 304248880320
Bases of 138129482400
- Binary: 100000001010010010100010100010101000002
- Hexadecimal: 0x202928A2A0
- Base-36: 1RGEQ6QO
Squares and roots of 138129482400
- 138129482400 squared (1381294824002) is 19079753908091909760000
- 138129482400 cubed (1381294824003) is 2635476531644112666776308224000000
-
The
square root of 138129482400 is 371657.7490111031 -
The
cube root of 138129482400 is 5169.2649781199
Scales and comparisons
How big is 138129482400?- 138,129,482,400 seconds is equal to 4,392 years, 4 weeks, 4 days, 20 hours, 40 minutes.
-
To count from 1 to 138,129,482,400 would take you about eight thousand, seven hundred eighty-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 138129482400 cubic inches would be around 430.8 feet tall.
Recreational maths with 138129482400
- 138129482400 backwards is 004284921831
- 138129482400 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138129482400's digits is 42
- More coming soon!
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The information we have on file for 138129482400 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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