146946428928000
146,946,428,928,000 is an even composite number composed of six prime numbers multiplied together.
146946428928000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 146946428928000:
215 × 32 × 53 × 13 × 172 × 1061
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 13 × 17 × 17 × 1061)See below for interesting mathematical facts about the number 146946428928000 from the Numbermatics database.
Names of 146946428928000
- Cardinal: 146946428928000 can be written as One hundred forty-six trillion, nine hundred forty-six billion, four hundred twenty-eight million, nine hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.46946428928 × 1014
Factors of 146946428928000
Divisors of 146946428928000
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 17 18 20 24 25 26 30 32 34 36 39 40 45 48 50 51 52 60 64 65 68 72 75 78 80 85 90 96 100 102 104 117 120 125 128 130 136 144 150 153 156 160 170 180 192 195 200 204 208 221 225 234 240 250 255 256 260 272 288 289 300 306 312 320 325 340 360 375 384 390 400 408 416 425 442 450 468 480 500 510 512 520 544 576 578 585 600 612 624 640 650 663 680 720 750 765 768 780 800 816 832 850 867 884 900 936 960 975 1000 1020 1024 1040 1061 1088 1105 1125 1152 1156 1170 1200 1224 1248 1275 1280 1300 1326 1360 1440 1445 1500 1530 1536 1560 1600 1625 1632 1664 1700 1734 1768 1800 1872 1920 1950 1989 2000 2040 2048 2080 2122 2125 2176 2210 2250 2304 2312 2340 2400 2448 2496 2550 2560 2600 2601 2652 2720 2880 2890 2925 3000 3060 3072 3120 3183 3200 3250 3264 3315 3328 3400 3468 3536 3600 3744 3757 3825 3840 3900 3978 4000 4080 4096 4160 4244 4250 4335 4352 4420 4500 4608 4624 4680 4800 4875 4896 4992 5100 5120 5200 5202 5304 5305 5440 5525 5760 5780 5850 6000 6120 6144 6240 6366 6375 6400 6500 6528 6630 6656 6800 6936 7072 7200 7225 7488 7514 7650 7680 7800 7956 8000 8160 8192 8320 8488 8500 8670 8704 8840 9000 9216 9248 9360 9549 9600 9750 9792 9945 9984 10200 10240 10400 10404 10608 10610 10880 11050 11271 11520 11560 11700 12000 12240 12288 12480 12732 12750 12800 13000 13005 13056 13260 13312 13600 13793 13872 14144 14400 14450 14625 14976 15028 15300 15360 15600 15912 15915 16000 16320 16384 16575 16640 16976 17000 17340 17408 17680 18000 18037 18432 18496 18720 18785 19098 19125 19200 19500 19584 19890 19968 20400 20480 20800 20808 21216 21220 21675 21760 22100 22542 23040 23120 23400 24000 24480 24576 24960 25464 25500 25600 26000 26010 26112 26520 26525 26624 27200 27586 27625 27744 28288 28800 28900 29250 29952 30056 30600 30720 31200 31824 31830 32000 32640 32768 33150 33280 33813 33952 34000 34680 34816 35360 36000 36074 36125 36864 36992 37440 37570 38196 38250 38400 39000 39168 39780 39936 40800 40960 41379 41600 41616 42432 42440 43350 43520 44200 45084 46080 46240 46800 47745 48000 48960 49152 49725 49920 50928 51000 51200 52000 52020 52224 53040 53050 53248 54111 54400 55172 55250 55488 56355 56576 57600 57800 58500 59904 60112 61200 61440 62400 63648 63660 64000 65025 65280 66300 66560 67626 67904 68000 68965 69360 69632 70720 72000 72148 72250 73728 73984 74880 75140 76392 76500 76800 78000 78336 79560 79575 79872 81600 81920 82758 82875 83200 83232 84864 84880 86700 87040 88400 90168 90185 92160 92480 93600 93925 95490 96000 97920 98304 99450 99840 101856 102000 102400 104000 104040 104448 106080 106100 106496 108222 108375 108800 110344 110500 110976 112710 113152 115200 115600 117000 119808 120224 122400 122880 124137 124800 127296 127320 128000 130050 130560 132600 132625 133120 135252 135808 136000 137930 138720 139264 141440 144000 144296 144500 147456 147968 149760 150280 152784 153000 153600 156000 156672 159120 159150 159744 162333 163200 163840 165516 165750 166400 166464 169065 169728 169760 173400 174080 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30613839360 31398809600 31779072000 31889416000 32654761984 33245798400 33765264000 33897676800 34575630336 34624512000 35323660800 35875593000 36016281600 36736607232 36939776000 37678571520 38267299200 38417367040 39112704000 39248512000 40818452480 41557248000 42372096000 43219537920 44154576000 44327731200 45020352000 45214285824 45920759040 46166016000 47098214400 47834124000 48021708800 48982142976 50238095360 50846515200 51023065600 54024422400 55409664000 56496128000 56517857280 57400948800 57626050560 58872768000 60027136000 61227678720 62797619200 63558144000 63778832000 65309523968 66491596800 67530528000 69151260672 69249024000 70647321600 71751186000 72032563200 73473214464 73879552000 75357143040 76534598400 78497024000 81636904960 83114496000 84744192000 86439075840 88309152000 90040704000 90428571648 91841518080 94196428800 95668248000 96043417600 97964285952 101693030400 102046131200 108048844800 110819328000 113035714560 114801897600 115252101120 117745536000 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816369049600 864390758400 918415180800 941964288000 960434176000 979642859520 1020461312000 1080488448000 1130357145600 1148018976000 1175571431424 1224553574400 1255952384000 1412946432000 1440651264000 1469464289280 1530691968000 1632738099200 1728781516800 1836830361600 1883928576000 1959285719040 2040922624000 2160976896000 2260714291200 2296037952000 2449107148800 2825892864000 2881302528000 2938928578560 3061383936000 3265476198400 3673660723200 3767857152000 4081845248000 4321953792000 4592075904000 4898214297600 5651785728000 5877857157120 6122767872000 7347321446400 8163690496000 8643907584000 9184151808000 9796428595200 11303571456000 12245535744000 14694642892800 16327380992000 18368303616000 24491071488000 29389285785600 36736607232000 48982142976000 73473214464000 146946428928000
- Sum of all divisors σ(n): 606641591490480
- Sum of proper divisors (its aliquot sum) s(n): 459695162562480
- 146946428928000 is an abundant number, because the sum of its proper divisors (459695162562480) is greater than itself. Its abundance is 312748733634480
Bases of 146946428928000
- Binary: 1000010110100101101000011011001010000000000000002
- Hexadecimal: 0x85A5A1B28000
- Base-36: 1G3699QM80
Squares and roots of 146946428928000
- 146946428928000 squared (1469464289280002) is 21593252974691755229184000000
- 146946428928000 cubed (1469464289280003) is 3173051413569866592492859007434752000000000
-
The
square root of 146946428928000 is 12122146.2178939255 -
The
cube root of 146946428928000 is 52769.9090250647
Scales and comparisons
How big is 146946428928000?- 146,946,428,928,000 seconds is equal to 4,672,441 years, 47 weeks, 8 hours.
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To count from 1 to 146,946,428,928,000 would take you about eleven million, six hundred eighty-one thousand, one hundred 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 146946428928000 cubic inches would be around 4397.5 feet tall.
Recreational maths with 146946428928000
- 146946428928000 backwards is 000829824649641
- The number of decimal digits it has is: 15
- The sum of 146946428928000's digits is 63
- More coming soon!
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The information we have on file for 146946428928000 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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