47342131200
47,342,131,200 is an even composite number composed of six prime numbers multiplied together.
47342131200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 47342131200:
211 × 32 × 52 × 7 × 13 × 1129
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 13 × 1129)See below for interesting mathematical facts about the number 47342131200 from the Numbermatics database.
Names of 47342131200
- Cardinal: 47342131200 can be written as Forty-seven billion, three hundred forty-two million, one hundred thirty-one thousand, two hundred.
Scientific notation
- Scientific notation: 4.73421312 × 1010
Factors of 47342131200
Divisors of 47342131200
- Number of divisors d(n): 864
-
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 28 30 32 35 36 39 40 42 45 48 50 52 56 60 63 64 65 70 72 75 78 80 84 90 91 96 100 104 105 112 117 120 126 128 130 140 144 150 156 160 168 175 180 182 192 195 200 208 210 224 225 234 240 252 256 260 273 280 288 300 312 315 320 325 336 350 360 364 384 390 400 416 420 448 450 455 468 480 504 512 520 525 546 560 576 585 600 624 630 640 650 672 700 720 728 768 780 800 819 832 840 896 900 910 936 960 975 1008 1024 1040 1050 1092 1120 1129 1152 1170 1200 1248 1260 1280 1300 1344 1365 1400 1440 1456 1536 1560 1575 1600 1638 1664 1680 1792 1800 1820 1872 1920 1950 2016 2048 2080 2100 2184 2240 2258 2275 2304 2340 2400 2496 2520 2560 2600 2688 2730 2800 2880 2912 2925 3072 3120 3150 3200 3276 3328 3360 3387 3584 3600 3640 3744 3840 3900 4032 4095 4160 4200 4368 4480 4516 4550 4608 4680 4800 4992 5040 5120 5200 5376 5460 5600 5645 5760 5824 5850 6144 6240 6300 6400 6552 6656 6720 6774 6825 7168 7200 7280 7488 7680 7800 7903 8064 8190 8320 8400 8736 8960 9032 9100 9216 9360 9600 9984 10080 10161 10240 10400 10752 10920 11200 11290 11520 11648 11700 12480 12600 12800 13104 13312 13440 13548 13650 14336 14400 14560 14677 14976 15360 15600 15806 16128 16380 16640 16800 16935 17472 17920 18064 18200 18432 18720 19200 19968 20160 20322 20475 20800 21504 21840 22400 22580 23040 23296 23400 23709 24960 25200 25600 26208 26624 26880 27096 27300 28225 28800 29120 29354 29952 30720 31200 31612 32256 32760 33280 33600 33870 34944 35840 36128 36400 37440 38400 39515 39936 40320 40644 40950 41600 43008 43680 44031 44800 45160 46080 46592 46800 47418 49920 50400 50805 51200 52416 53760 54192 54600 56450 57600 58240 58708 59904 62400 63224 64512 65520 66560 67200 67740 69888 71127 71680 72256 72800 73385 74880 76800 79030 79872 80640 81288 81900 83200 84675 87360 88062 89600 90320 92160 93184 93600 94836 99840 100800 101610 102739 104832 107520 108384 109200 112900 115200 116480 117416 118545 119808 124800 126448 129024 131040 132093 133120 134400 135480 139776 142254 144512 145600 146770 149760 153600 158060 161280 162576 163800 166400 169350 174720 176124 179200 180640 186368 187200 189672 197575 199680 201600 203220 205478 209664 215040 216768 218400 220155 225800 230400 232960 234832 237090 239616 249600 252896 254025 262080 264186 268800 270960 279552 284508 289024 291200 293540 299520 308217 316120 322560 325152 327600 332800 338700 349440 352248 355635 358400 361280 366925 374400 379344 395150 399360 403200 406440 410956 419328 433536 436800 440310 451600 460800 465920 469664 474180 499200 505792 508050 513695 524160 528372 537600 541920 559104 569016 578048 582400 587080 592725 599040 616434 632240 645120 650304 655200 660465 665600 677400 698880 704496 711270 722560 733850 748800 758688 790300 806400 812880 821912 838656 867072 873600 880620 903200 924651 931840 939328 948360 998400 1011584 1016100 1027390 1048320 1056744 1075200 1083840 1100775 1138032 1156096 1164800 1174160 1185450 1198080 1232868 1264480 1300608 1310400 1320930 1354800 1397760 1408992 1422540 1445120 1467700 1497600 1517376 1541085 1580600 1612800 1625760 1643824 1677312 1734144 1747200 1761240 1778175 1806400 1849302 1878656 1896720 1996800 2023168 2032200 2054780 2096640 2113488 2167680 2201550 2276064 2312192 2329600 2348320 2370900 2465736 2528960 2568475 2601216 2620800 2641860 2709600 2795520 2817984 2845080 2890240 2935400 2995200 3034752 3082170 3161200 3225600 3251520 3287648 3302325 3468288 3494400 3522480 3556350 3612800 3698604 3757312 3793440 4046336 4064400 4109560 4193280 4226976 4335360 4403100 4552128 4623255 4659200 4696640 4741800 4931472 5057920 5136950 5202432 5241600 5283720 5419200 5635968 5690160 5780480 5870800 5990400 6069504 6164340 6322400 6503040 6575296 6604650 6936576 6988800 7044960 7112700 7225600 7397208 7514624 7586880 7705425 8092672 8128800 8219120 8386560 8453952 8670720 8806200 9104256 9246510 9393280 9483600 9862944 10115840 10273900 10404864 10483200 10567440 10838400 11271936 11380320 11560960 11741600 12139008 12328680 12644800 13006080 13150592 13209300 13977600 14089920 14225400 14451200 14794416 15029248 15173760 15410850 16185344 16257600 16438240 16907904 17341440 17612400 18208512 18493020 18786560 18967200 19725888 20231680 20547800 20809728 20966400 21134880 21676800 22543872 22760640 23116275 23483200 24278016 24657360 25289600 26012160 26301184 26418600 28179840 28450800 28902400 29588832 30058496 30347520 30821700 32515200 32876480 33815808 34682880 35224800 36417024 36986040 37573120 37934400 39451776 40463360 41095600 41932800 42269760 43353600 45087744 45521280 46232550 46966400 48556032 49314720 50579200 52024320 52602368 52837200 56359680 56901600 57804800 59177664 60695040 61643400 65030400 65752960 67631616 70449600 72834048 73972080 75146240 75868800 78903552 80926720 82191200 84539520 86707200 90175488 91042560 92465100 93932800 98629440 101158400 104048640 105204736 105674400 112719360 113803200 118355328 121390080 123286800 130060800 131505920 135263232 140899200 145668096 147944160 150292480 151737600 157807104 164382400 169079040 173414400 182085120 184930200 187865600 197258880 202316800 210409472 211348800 225438720 227606400 236710656 242780160 246573600 260121600 263011840 270526464 281798400 295888320 303475200 315614208 328764800 338158080 364170240 369860400 375731200 394517760 404633600 422697600 450877440 455212800 473421312 493147200 520243200 526023680 563596800 591776640 606950400 631228416 657529600 676316160 728340480 739720800 751462400 789035520 845395200 910425600 946842624 986294400 1052047360 1127193600 1183553280 1213900800 1315059200 1352632320 1479441600 1578071040 1690790400 1820851200 1893685248 1972588800 2254387200 2367106560 2630118400 2958883200 3156142080 3381580800 3641702400 3945177600 4734213120 5260236800 5917766400 6763161600 7890355200 9468426240 11835532800 15780710400 23671065600 47342131200
- Sum of all divisors σ(n): 208860069600
- Sum of proper divisors (its aliquot sum) s(n): 161517938400
- 47342131200 is an abundant number, because the sum of its proper divisors (161517938400) is greater than itself. Its abundance is 114175807200
Bases of 47342131200
- Binary: 1011000001011100111110011000000000002
- Hexadecimal: 0xB05CF9800
- Base-36: LQYA680
Squares and roots of 47342131200
- 47342131200 squared (473421312002) is 2241277386558013440000
- 47342131200 cubed (473421312003) is 106106848090022588687843328000000
-
The
square root of 47342131200 is 217582.4698821115 -
The
cube root of 47342131200 is 3617.5615987277
Scales and comparisons
How big is 47342131200?- 47,342,131,200 seconds is equal to 1,505 years, 17 weeks, 2 days, 8 hours.
-
To count from 1 to 47,342,131,200 would take you about three thousand and ten 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 47342131200 cubic inches would be around 301.5 feet tall.
Recreational maths with 47342131200
- 47342131200 backwards is 00213124374
- The number of decimal digits it has is: 11
- The sum of 47342131200's digits is 27
- More coming soon!
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The information we have on file for 47342131200 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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