47728740864000
47,728,740,864,000 is an even composite number composed of six prime numbers multiplied together.
47728740864000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, four hundred ninety-six divisors.
Prime factorization of 47728740864000:
212 × 3 × 53 × 73 × 17 × 732
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 7 × 7 × 17 × 73 × 73)See below for interesting mathematical facts about the number 47728740864000 from the Numbermatics database.
Names of 47728740864000
- Cardinal: 47728740864000 can be written as Forty-seven trillion, seven hundred twenty-eight billion, seven hundred forty million, eight hundred sixty-four thousand.
Scientific notation
- Scientific notation: 4.7728740864 × 1013
Factors of 47728740864000
Divisors of 47728740864000
- Number of divisors d(n): 2496
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 25 28 30 32 34 35 40 42 48 49 50 51 56 60 64 68 70 73 75 80 84 85 96 98 100 102 105 112 119 120 125 128 136 140 146 147 150 160 168 170 175 192 196 200 204 210 219 224 238 240 245 250 255 256 272 280 292 294 300 320 336 340 343 350 357 365 375 384 392 400 408 420 425 438 448 476 480 490 500 510 511 512 525 544 560 584 588 595 600 640 672 680 686 700 714 730 735 750 768 784 800 816 833 840 850 875 876 896 952 960 980 1000 1020 1022 1024 1029 1050 1088 1095 1120 1168 1176 1190 1200 1225 1241 1275 1280 1344 1360 1372 1400 1428 1460 1470 1500 1533 1536 1568 1600 1632 1666 1680 1700 1715 1750 1752 1785 1792 1825 1904 1920 1960 2000 2040 2044 2048 2058 2100 2125 2176 2190 2240 2336 2352 2380 2400 2450 2482 2499 2550 2555 2560 2625 2688 2720 2744 2800 2856 2920 2940 2975 3000 3066 3072 3136 3200 3264 3332 3360 3400 3430 3500 3504 3570 3577 3584 3650 3675 3723 3808 3840 3920 4000 4080 4088 4096 4116 4165 4200 4250 4352 4380 4480 4672 4704 4760 4800 4900 4964 4998 5100 5110 5120 5145 5250 5329 5376 5440 5475 5488 5600 5712 5831 5840 5880 5950 6000 6125 6132 6144 6205 6272 6375 6400 6528 6664 6720 6800 6860 7000 7008 7140 7154 7168 7300 7350 7446 7616 7665 7680 7840 8000 8160 8176 8232 8330 8400 8500 8575 8687 8704 8760 8925 8960 9125 9344 9408 9520 9600 9800 9928 9996 10200 10220 10240 10290 10500 10658 10731 10752 10880 10950 10976 11200 11424 11662 11680 11760 11900 12000 12250 12264 12288 12410 12495 12544 12750 12775 12800 13056 13328 13440 13600 13720 14000 14016 14280 14308 14336 14600 14700 14875 14892 15232 15330 15360 15680 15987 16000 16320 16352 16464 16660 16800 17000 17150 17374 17408 17493 17520 17850 17885 17920 18250 18375 18615 18688 18816 19040 19200 19600 19856 19992 20400 20440 20480 20580 20825 21000 21316 21462 21504 21760 21900 21952 22400 22848 23324 23360 23520 23800 24000 24500 24528 24820 24990 25039 25088 25500 25550 25600 25725 26061 26112 26645 26656 26880 27200 27375 27440 28000 28032 28560 28616 28672 29155 29200 29400 29750 29784 30464 30660 30720 31025 31360 31974 32000 32640 32704 32928 33320 33600 34000 34300 34748 34816 34986 35040 35700 35770 35840 36500 36750 37230 37303 37376 37632 38080 38325 38400 39200 39712 39984 40800 40880 41160 41650 42000 42632 42875 42924 43008 43435 43520 43800 43904 44625 44800 45696 46648 46720 47040 47600 48000 49000 49056 49640 49980 50078 50176 51000 51100 51200 51450 52122 52224 53290 53312 53655 53760 54400 54750 54880 56000 56064 57120 57232 58310 58400 58800 59500 59568 60809 60928 61320 61440 62050 62475 62720 63875 63948 64000 65280 65408 65856 66640 67200 68000 68600 69496 69632 69972 70080 71400 71540 71680 73000 73500 74460 74606 74752 75117 75264 76160 76650 76800 78400 79424 79935 79968 81600 81760 82320 83300 84000 85264 85750 85848 86016 86870 87040 87465 87600 87808 89250 89425 89600 90593 91392 93075 93296 93440 94080 95200 96000 98000 98112 99280 99960 100156 100352 102000 102200 102400 102900 104125 104244 104448 106580 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1739385600 1743515648 1754733120 1775622800 1790544000 1791283200 1827847000 1831424000 1855344640 1864403940 1868052480 1871715328 1902453000 1906176000 1909913600 1922995200 1945888000 1948111872 1988697536 2005409280 2029283200 2043182400 2046336000 2088968000 2130747360 2174232000 2179394560 2193416400 2219528500 2223872000 2239104000 2272797184 2291896320 2319180800 2330504925 2335065600 2339644160 2387392000 2403744000 2435139840 2485871920 2506761600 2536604000 2553978000 2563993600 2597482496 2615273472 2663434200 2668646400 2673879040 2724243200 2728448000 2741770500 2747136000 2783016960 2807572992 2840996480 2864870400 2898976000 2918832000 2924555200 2983046304 2985472000 3043924800 3107339900 3113420800 3133452000 3204992000 3208654848 3246853120 3269091840 3329292750 3335808000 3342348800 3405304000 3409195776 3478771200 3509466240 3551245600 3581088000 3655694000 3728807880 3736104960 3743430656 3804906000 3819827200 3845990400 3884174875 3891776000 3896223744 3977395072 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37434306560 38459904000 38962237440 39773950720 40108185600 40585664000 40863648000 42614947200 43587891200 43868328000 45455943680 46383616000 46610098500 46701312000 46792883200 47728740864 48702796800 49717438400 50135232000 53268684000 54484864000 54547132416 56151459840 56819929600 57297408000 58491104000 59660926080 60878496000 62146798000 63638321152 64937062400 65381836800 66846976000 68183915520 69575424000 70189324800 71024912000 74576157600 79547901440 80216371200 81171328000 81727296000 85229894400 87736656000 90911887360 93220197000 93402624000 93585766400 95457481728 97405593600 99434876800 100270464000 106537368000 108969728000 112302919680 113639859200 116982208000 119321852160 121756992000 124293596000 127276642304 130763673600 133693952000 136367831040 139150848000 140378649600 142049824000 149152315200 159095802880 162342656000 163454592000 170459788800 175473312000 186440394000 187171532800 190914963456 194811187200 198869753600 200540928000 213074736000 217939456000 227279718400 233964416000 238643704320 243513984000 248587192000 272735662080 280757299200 284099648000 298304630400 318191605760 324685312000 326909184000 340919577600 350946624000 372880788000 381829926912 397739507200 401081856000 426149472000 454559436800 467928832000 477287408640 487027968000 497174384000 561514598400 568199296000 596609260800 636383211520 653818368000 681839155200 701893248000 745761576000 795479014400 852298944000 935857664000 954574817280 974055936000 994348768000 1136398592000 1193218521600 1363678310400 1403786496000 1491523152000 1590958028800 1704597888000 1909149634560 1988697536000 2272797184000 2386437043200 2807572992000 2983046304000 3181916057600 3409195776000 3977395072000 4772874086400 5966092608000 6818391552000 7954790144000 9545748172800 11932185216000 15909580288000 23864370432000 47728740864000
- Sum of all divisors σ(n): 198833235494400
- Sum of proper divisors (its aliquot sum) s(n): 151104494630400
- 47728740864000 is an abundant number, because the sum of its proper divisors (151104494630400) is greater than itself. Its abundance is 103375753766400
Bases of 47728740864000
- Binary: 10101101101000101101101010010100010000000000002
- Hexadecimal: 0x2B68B6A51000
- Base-36: GX2A3ZO5C
Squares and roots of 47728740864000
- 47728740864000 squared (477287408640002) is 2278032704462863466496000000
- 47728740864000 cubed (477287408640003) is 108727632631025106703800330092544000000000
-
The
square root of 47728740864000 is 6908599.0521957489 -
The
cube root of 47728740864000 is 36273.8226892107
Scales and comparisons
How big is 47728740864000?- 47,728,740,864,000 seconds is equal to 1,517,626 years, 16 weeks, 6 days, 5 hours, 20 minutes.
-
To count from 1 to 47,728,740,864,000 would take you about three million, seven hundred ninety-four thousand and sixty-five 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 47728740864000 cubic inches would be around 3022.8 feet tall.
Recreational maths with 47728740864000
- 47728740864000 backwards is 00046804782774
- The number of decimal digits it has is: 14
- The sum of 47728740864000's digits is 57
- More coming soon!
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The information we have on file for 47728740864000 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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