104214146400
104,214,146,400 is an even composite number composed of seven prime numbers multiplied together.
104214146400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 104214146400:
25 × 35 × 52 × 7 × 13 × 43 × 137
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 13 × 43 × 137)See below for interesting mathematical facts about the number 104214146400 from the Numbermatics database.
Names of 104214146400
- Cardinal: 104214146400 can be written as One hundred four billion, two hundred fourteen million, one hundred forty-six thousand, four hundred.
Scientific notation
- Scientific notation: 1.042141464 × 1011
Factors of 104214146400
Divisors of 104214146400
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 25 26 27 28 30 32 35 36 39 40 42 43 45 48 50 52 54 56 60 63 65 70 72 75 78 80 81 84 86 90 91 96 100 104 105 108 112 117 120 126 129 130 135 137 140 144 150 156 160 162 168 172 175 180 182 189 195 200 208 210 215 216 224 225 234 240 243 252 258 260 270 273 274 280 288 300 301 312 315 324 325 336 344 350 351 360 364 378 387 390 400 405 411 416 420 430 432 450 455 468 480 486 504 516 520 525 540 546 548 559 560 567 585 600 602 624 630 645 648 650 672 675 685 688 700 702 720 728 756 774 780 800 810 819 822 840 860 864 900 903 910 936 945 959 972 975 1008 1032 1040 1050 1053 1075 1080 1092 1096 1118 1120 1134 1161 1170 1200 1204 1215 1233 1248 1260 1290 1296 1300 1350 1365 1370 1376 1400 1404 1440 1456 1505 1512 1548 1560 1575 1620 1638 1644 1677 1680 1701 1720 1755 1781 1800 1806 1820 1872 1890 1918 1935 1944 1950 2016 2025 2055 2064 2080 2100 2106 2150 2160 2184 2192 2236 2268 2275 2322 2340 2400 2408 2430 2457 2466 2520 2580 2592 2600 2700 2709 2730 2740 2795 2800 2808 2835 2877 2912 2925 3010 3024 3096 3120 3150 3159 3225 3240 3276 3288 3354 3360 3402 3425 3440 3483 3510 3562 3600 3612 3640 3699 3744 3780 3836 3870 3888 3900 3913 4050 4095 4110 4128 4200 4212 4300 4320 4368 4384 4472 4515 4536 4550 4644 4680 4725 4795 4816 4860 4914 4932 5031 5040 5160 5200 5265 5343 5400 5418 5460 5480 5590 5600 5616 5670 5754 5805 5850 5891 6020 6048 6075 6165 6192 6240 6300 6318 6450 6480 6552 6576 6708 6804 6825 6850 6880 6966 7020 7124 7200 7224 7280 7371 7398 7525 7560 7672 7740 7776 7800 7826 8100 8127 8190 8220 8385 8400 8424 8505 8600 8631 8736 8775 8905 8944 9030 9072 9100 9288 9360 9450 9590 9632 9675 9720 9828 9864 10062 10080 10275 10320 10400 10449 10530 10686 10800 10836 10920 10960 11097 11180 11232 11340 11508 11610 11700 11739 11782 12040 12150 12285 12330 12384 12467 12600 12636 12900 12960 13104 13152 13416 13545 13608 13650 13700 13932 13975 14040 14175 14248 14385 14448 14560 14742 14796 15050 15093 15120 15344 15480 15600 15652 15795 16029 16200 16254 16380 16440 16770 16800 16848 17010 17200 17262 17415 17550 17673 17810 17888 18060 18144 18200 18495 18576 18720 18900 19180 19350 19440 19565 19656 19728 20124 20475 20550 20640 20898 21060 21372 21600 21672 21840 21920 22113 22194 22360 22575 22680 23016 23220 23400 23478 23564 23975 24080 24300 24381 24570 24660 24934 25155 25200 25272 25800 25893 26208 26325 26715 26832 27090 27216 27300 27400 27864 27950 28080 28350 28496 28770 28896 29025 29455 29484 29592 30100 30186 30240 30688 30825 30960 31200 31304 31590 32058 32400 32508 32760 32880 33291 33540 33696 34020 34400 34524 34830 35100 35217 35346 35620 36120 36400 36855 36990 37152 37401 37800 38360 38700 38880 39130 39312 39456 40248 40635 40950 41100 41237 41796 41925 42120 42525 42744 43155 43344 43680 44226 44388 44525 44720 45150 45279 45360 46032 46440 46800 46956 47128 47950 48087 48160 48600 48762 49140 49320 49868 50310 50400 50544 51600 51786 52245 52650 53019 53430 53664 54180 54432 54600 54800 55485 55728 55900 56160 56700 56992 57540 58050 58695 58910 58968 59184 60200 60372 61425 61650 61920 62335 62608 63180 64116 64800 65016 65520 65760 66582 67080 67725 68040 69048 69660 70200 70434 70692 71240 71925 72240 72800 73143 73710 73980 74802 75465 75600 76583 76720 77400 77679 78260 78624 78975 80145 80496 81270 81900 82200 82474 83592 83850 84240 85050 85488 86310 86688 87075 88365 88452 88776 89050 89440 90300 90558 90720 92064 92475 92880 93600 93912 94256 95900 96174 97200 97524 97825 98280 98640 99736 100620 101088 103200 103572 104490 105300 105651 106038 106860 108360 109200 109600 110565 110970 111456 111800 112203 113400 115080 116100 117390 117820 117936 118368 120400 120744 121905 122850 123300 123711 124670 125216 125775 126360 128232 129465 130032 131040 133164 133575 134160 135450 135837 136080 138096 139320 140400 140868 141384 142480 143850 144261 144480 146286 147275 147420 147960 149604 150930 151200 153166 153440 154800 155358 156520 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57896748 58514400 59381280 60589620 61266400 62032230 62143200 63390600 63622800 64329720 66167712 66803940 67321800 68924700 69245280 71575650 72370935 74226600 74438676 75737025 76068720 76347360 77195664 80164728 80412150 80786160 82709640 83504925 84520800 85772960 86556600 86845122 89071920 89762400 91899600 93048345 93214800 95085900 95434200 96494580 96943392 98968800 99251568 100205910 100982700 103387050 106886304 107216200 108669600 110279520 111339900 114521040 115408800 115793496 120618225 121179240 124064460 126781200 127245600 128659440 130267683 133607880 134643600 137849400 143151300 144741870 148453200 148877352 151474050 152137440 154391328 155080575 160329456 160824300 161572320 165419280 167009850 173113200 173690244 178143840 183799200 186096690 186429600 190171800 190868400 192989160 198503136 200411820 201965400 206774100 214432400 217112805 222679800 229042080 231586992 241236450 242358480 248128920 250514775 253562400 257318880 260535366 267215760 269287200 275698800 286302600 289483740 296906400 297754704 302948100 310161150 320658912 321648600 330838560 334019700 346226400 347380488 361854675 372193380 380343600 381736800 385978320 400823640 403930800 413548200 428864800 434225610 445359600 463173984 465241725 482472900 484716960 496257840 501029550 521070732 534431520 551397600 572605200 578967480 595509408 605896200 620322300 643297200 651338415 668039400 694760976 723709350 744386760 760687200 771956640 801647280 807861600 827096400 868451220 890719200 930483450 964945800 992515680 1002059100 1042141464 1085564025 1145210400 1157934960 1211792400 1240644600 1286594400 1302676830 1336078800 1389521952 1447418700 1488773520 1603294560 1654192800 1736902440 1860966900 1929891600 2004118200 2084282928 2171128050 2315869920 2423584800 2481289200 2605353660 2672157600 2894837400 2977547040 3256692075 3473804880 3721933800 3859783200 4008236400 4168565856 4342256100 4962578400 5210707320 5789674800 6513384150 6947609760 7443867600 8016472800 8684512200 10421414640 11579349600 13026768300 14887735200 17369024400 20842829280 26053536600 34738048800 52107073200 104214146400
- Sum of all divisors σ(n): 483452057088
- Sum of proper divisors (its aliquot sum) s(n): 379237910688
- 104214146400 is an abundant number, because the sum of its proper divisors (379237910688) is greater than itself. Its abundance is 275023764288
Bases of 104214146400
- Binary: 11000010000111010010110101101011000002
- Hexadecimal: 0x1843A5AD60
- Base-36: 1BVIEU00
Squares and roots of 104214146400
- 104214146400 squared (1042141464002) is 10860588309880632960000
- 104214146400 cubed (1042141464003) is 1131826940116028849818105344000000
-
The
square root of 104214146400 is 322822.1590907291 -
The
cube root of 104214146400 is 4705.8949180523
Scales and comparisons
How big is 104214146400?- 104,214,146,400 seconds is equal to 3,313 years, 35 weeks, 5 days, 6 hours.
-
To count from 1 to 104,214,146,400 would take you about six thousand, six hundred twenty-seven 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 104214146400 cubic inches would be around 392.2 feet tall.
Recreational maths with 104214146400
- 104214146400 backwards is 004641412401
- 104214146400 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 104214146400's digits is 27
- More coming soon!
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The information we have on file for 104214146400 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 104214146400, math, Factors of 104214146400, curriculum, school, college, exams, university, Prime factorization of 104214146400, STEM, science, technology, engineering, physics, economics, calculator, one hundred four billion, two hundred fourteen million, one hundred forty-six thousand, four hundred.