138048065920800
138,048,065,920,800 is an even composite number composed of seven prime numbers multiplied together.
138048065920800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, five hundred ninety-two divisors.
Prime factorization of 138048065920800:
25 × 33 × 52 × 7 × 29 × 312 × 1812
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 7 × 29 × 31 × 31 × 181 × 181)See below for interesting mathematical facts about the number 138048065920800 from the Numbermatics database.
Names of 138048065920800
- Cardinal: 138048065920800 can be written as One hundred thirty-eight trillion, forty-eight billion, sixty-five million, nine hundred twenty thousand, eight hundred.
Scientific notation
- Scientific notation: 1.380480659208 × 1014
Factors of 138048065920800
Divisors of 138048065920800
- Number of divisors d(n): 2592
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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 29 30 31 32 35 36 40 42 45 48 50 54 56 58 60 62 63 70 72 75 80 84 87 90 93 96 100 105 108 112 116 120 124 126 135 140 144 145 150 155 160 168 174 175 180 181 186 189 200 203 210 216 217 224 225 232 240 248 252 261 270 279 280 288 290 300 310 315 336 348 350 360 362 372 378 400 406 420 432 434 435 450 464 465 480 496 504 522 525 540 543 558 560 580 600 609 620 630 651 672 675 696 700 720 724 725 744 756 775 783 800 812 837 840 864 868 870 899 900 905 928 930 945 961 992 1008 1015 1044 1050 1080 1085 1086 1116 1120 1160 1200 1218 1240 1260 1267 1302 1305 1350 1392 1395 1400 1440 1448 1450 1488 1512 1550 1566 1575 1624 1629 1674 1680 1736 1740 1798 1800 1810 1827 1860 1890 1922 1953 2016 2030 2088 2100 2160 2170 2172 2175 2232 2320 2325 2400 2436 2480 2520 2534 2604 2610 2697 2700 2715 2784 2790 2800 2883 2896 2900 2976 3024 3045 3100 3132 3150 3248 3255 3258 3348 3360 3472 3480 3596 3600 3620 3654 3720 3780 3801 3844 3906 3915 4060 4176 4185 4200 4320 4340 4344 4350 4464 4495 4525 4640 4650 4725 4805 4872 4887 4960 5040 5068 5075 5208 5220 5249 5394 5400 5425 5430 5481 5580 5600 5611 5766 5792 5800 5859 6048 6090 6200 6264 6293 6300 6335 6496 6510 6516 6525 6696 6727 6944 6960 6975 7192 7200 7240 7308 7440 7560 7602 7688 7812 7830 8091 8120 8145 8352 8370 8400 8649 8680 8688 8700 8928 8990 9050 9135 9300 9450 9610 9744 9765 9774 10080 10136 10150 10416 10440 10498 10788 10800 10850 10860 10962 11160 11222 11403 11532 11600 11718 12180 12400 12528 12586 12600 12670 13020 13032 13050 13392 13454 13485 13575 13920 13950 14384 14415 14480 14616 14880 15120 15204 15225 15376 15624 15660 15747 16182 16240 16275 16290 16740 16800 16833 17298 17360 17376 17400 17980 18100 18270 18600 18879 18900 19005 19220 19488 19530 19548 19575 20181 20272 20300 20832 20880 20925 20996 21576 21600 21700 21720 21924 22320 22444 22475 22806 23064 23200 23436 24025 24273 24360 24435 24800 25056 25172 25200 25340 25947 26040 26064 26100 26245 26784 26908 26970 27150 27405 27869 27900 28055 28768 28830 28960 29232 29295 30240 30408 30450 30752 31248 31320 31465 31494 31675 32364 32480 32550 32580 32761 33480 33635 33666 34209 34596 34720 34800 35960 36200 36540 36743 37200 37758 37800 38010 38440 39060 39096 39150 39277 40362 40455 40544 40600 40725 41760 41850 41992 43152 43245 43400 43440 43848 44640 44888 44950 45612 45675 46128 46872 47241 48050 48546 48720 48825 48870 50344 50400 50499 50680 51894 52080 52128 52200 52490 53816 53940 54300 54810 55738 55800 56110 56637 57015 57660 58464 58590 60543 60816 60900 62496 62640 62930 62988 63350 64728 65100 65160 65522 66960 67270 67332 67425 68418 69192 69600 71920 72075 72400 73080 73486 74400 75516 75600 76020 76880 78120 78192 78300 78554 78735 80724 80910 81200 81450 83607 83700 83984 84165 86304 86490 86800 86880 87696 89776 89900 91224 91350 92256 93744 94395 94482 95025 96100 97092 97440 97650 97740 98283 100688 100905 100998 101360 103788 104160 104400 104980 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98605761372 98959187040 99172461150 102257826608 105783958560 106027700400 108956642400 109561957080 111329085420 113339955600 115040054934 119006953380 123257201715 123698983800 127116082800 127233240480 127822283260 131474348496 132229948200 136007946720 136952446350 139161356775 143650432800 146082609440 148438780560 148758691725 152539299360 153386739912 153557359200 158675937840 159041550600 159777854075 164342935620 164931978400 170009933400 172560082401 176306597600 178126536672 182603261800 185548475700 190411125408 190674124200 191733424890 197211522744 198344922300 204515653216 205428669525 212055400800 219123914160 222658170840 226679911200 230080109868 238013906760 246514403430 247397967600 254232165600 255644566520 262948696992 264459896400 273904892700 278322713550 287600137335 296877561120 297517383450 306773479824 317351875680 318083101200 319555708150 328685871240 340019866800 345120164802 365206523600 371096951400 381348248400 383466849780 394423045488 396689844600 410857339050 438247828320 445316341680 460160219736 476027813520 479333562225 493028806860 494795935200 511289133040 528919792800 547809785400 556645427100 575200274670 595034766900 613546959648 616286008575 636166202400 639111416300 657371742480 680039733600 690240329604 730413047200 742193902800 762696496800 766933699560 788846090976 793379689200 821714678100 862800412005 890632683360 920320439472 952055627040 958667124450 986057613720 1022578266080 1095619570800 1113290854200 1150400549340 1190069533800 1232572017150 1278222832600 1314743484960 1380480659208 1438000686675 1484387805600 1533867399120 1586759378400 1643429356200 1725600824010 1840640878944 1917334248900 1972115227440 2191239141600 2226581708400 2300801098680 2380139067600 2465144034300 2556445665200 2760961318416 2876001373350 3067734798240 3286858712400 3451201648020 3834668497800 3944230454880 4314002060025 4453163416800 4601602197360 4760278135200 4930288068600 5112891330400 5521922636832 5752002746700 6573717424800 6902403296040 7669336995600 8628004120050 9203204394720 9860576137200 11504005493400 13804806592080 15338673991200 17256008240100 19721152274400 23008010986800 27609613184160 34512016480200 46016021973600 69024032960400 138048065920800
- Sum of all divisors σ(n): 613318226371200
- Sum of proper divisors (its aliquot sum) s(n): 475270160450400
- 138048065920800 is an abundant number, because the sum of its proper divisors (475270160450400) is greater than itself. Its abundance is 337222094529600
Bases of 138048065920800
- Binary: 111110110001101110100011110111001011111001000002
- Hexadecimal: 0x7D8DD1EE5F20
- Base-36: 1CXMEM5JC0
Squares and roots of 138048065920800
- 138048065920800 squared (1380480659208002) is 19057268504473542351872640000
- 138048065920800 cubed (1380480659208003) is 2630819058775949204290804876045926912000000
-
The
square root of 138048065920800 is 11749385.7678093113 -
The
cube root of 138048065920800 is 51682.4915329873
Scales and comparisons
How big is 138048065920800?- 138,048,065,920,800 seconds is equal to 4,389,501 years, 25 weeks, 1 day, 18 hours.
-
To count from 1 to 138,048,065,920,800 would take you about ten million, nine hundred seventy-three thousand, seven 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 138048065920800 cubic inches would be around 4306.9 feet tall.
Recreational maths with 138048065920800
- 138048065920800 backwards is 008029560840831
- 138048065920800 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138048065920800's digits is 54
- More coming soon!
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The information we have on file for 138048065920800 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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