45375842304000
45,375,842,304,000 is an even composite number composed of six prime numbers multiplied together.
45375842304000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, four hundred divisors.
Prime factorization of 45375842304000:
214 × 34 × 53 × 13 × 53 × 397
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 13 × 53 × 397)See below for interesting mathematical facts about the number 45375842304000 from the Numbermatics database.
Names of 45375842304000
- Cardinal: 45375842304000 can be written as Forty-five trillion, three hundred seventy-five billion, eight hundred forty-two million, three hundred four thousand.
Scientific notation
- Scientific notation: 4.5375842304 × 1013
Factors of 45375842304000
Divisors of 45375842304000
- Number of divisors d(n): 2400
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 30 32 36 39 40 45 48 50 52 53 54 60 64 65 72 75 78 80 81 90 96 100 104 106 108 117 120 125 128 130 135 144 150 156 159 160 162 180 192 195 200 208 212 216 225 234 240 250 256 260 265 270 288 300 312 318 320 324 325 351 360 375 384 390 397 400 405 416 424 432 450 468 477 480 500 512 520 530 540 576 585 600 624 636 640 648 650 675 689 702 720 750 768 780 794 795 800 810 832 848 864 900 936 954 960 975 1000 1024 1040 1053 1060 1080 1125 1152 1170 1191 1200 1248 1272 1280 1296 1300 1325 1350 1378 1404 1431 1440 1500 1536 1560 1588 1590 1600 1620 1625 1664 1696 1728 1755 1800 1872 1908 1920 1950 1985 2000 2025 2048 2067 2080 2106 2120 2160 2250 2304 2340 2382 2385 2400 2496 2544 2560 2592 2600 2650 2700 2756 2808 2862 2880 2925 3000 3072 3120 3176 3180 3200 3240 3250 3328 3375 3392 3445 3456 3510 3573 3600 3744 3816 3840 3900 3970 3975 4000 4050 4096 4134 4160 4212 4240 4293 4320 4500 4608 4680 4764 4770 4800 4875 4992 5088 5120 5161 5184 5200 5265 5300 5400 5512 5616 5724 5760 5850 5955 6000 6144 6201 6240 6352 6360 6400 6480 6500 6625 6656 6750 6784 6890 6912 7020 7146 7155 7200 7488 7632 7680 7800 7940 7950 8000 8100 8192 8268 8320 8424 8480 8586 8640 8775 9000 9216 9360 9528 9540 9600 9750 9925 9984 10125 10176 10240 10322 10335 10368 10400 10530 10600 10719 10800 11024 11232 11448 11520 11700 11910 11925 12000 12288 12402 12480 12704 12720 12800 12960 13000 13250 13312 13500 13568 13780 13824 14040 14292 14310 14400 14625 14976 15264 15360 15483 15600 15880 15900 16000 16200 16384 16536 16640 16848 16960 17172 17225 17280 17550 17865 18000 18432 18603 18720 19056 19080 19200 19500 19850 19875 19968 20250 20352 20480 20644 20670 20736 20800 21041 21060 21200 21438 21465 21600 22048 22464 22896 23040 23400 23820 23850 24000 24576 24804 24960 25408 25440 25600 25805 25920 26000 26325 26500 26624 27000 27136 27560 27648 28080 28584 28620 28800 29250 29775 29952 30528 30720 30966 31005 31200 31760 31800 32000 32157 32400 33072 33280 33696 33920 34344 34450 34560 35100 35730 35775 36000 36864 37206 37440 38112 38160 38400 39000 39700 39750 39936 40500 40704 40960 41288 41340 41472 41600 42082 42120 42400 42876 42930 43200 43875 44096 44928 45792 46080 46449 46800 47640 47700 48000 49152 49608 49625 49920 50816 50880 51200 51610 51675 51840 52000 52650 53000 53248 53595 54000 54272 55120 55296 55809 56160 57168 57240 57600 58500 59550 59625 59904 61056 61440 61932 62010 62400 63123 63520 63600 64000 64314 64800 66144 66560 67392 67840 68688 68900 69120 70200 71460 71550 72000 73728 74412 74880 76224 76320 76800 77415 78000 79400 79500 79872 81000 81408 81920 82576 82680 82944 83200 84164 84240 84800 85752 85860 86125 86400 87750 88192 89325 89856 91584 92160 92898 93015 93600 95280 95400 96000 99216 99250 99840 101632 101760 102400 103220 103350 103680 104000 105205 105300 106000 106496 107190 107325 108000 108544 110240 110592 111618 112320 114336 114480 115200 117000 119100 119250 119808 122112 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141799507200 142691328000 145435392000 151252807680 157555008000 168058675200 171229593600 174522470400 177249384000 181503369216 189066009600 193913856000 201670410240 210073344000 214036992000 218153088000 226879211520 232696627200 236332512000 252088012800 280097792000 283599014400 285382656000 290870784000 302505615360 315110016000 336117350400 349044940800 354498768000 363006738432 378132019200 387827712000 420146688000 428073984000 436306176000 453758423040 472665024000 504176025600 560195584000 567198028800 581741568000 605011230720 630220032000 698089881600 708997536000 756264038400 840293376000 856147968000 872612352000 907516846080 945330048000 1008352051200 1134396057600 1163483136000 1260440064000 1417995072000 1512528076800 1680586752000 1745224704000 1815033692160 1890660096000 2268792115200 2520880128000 2835990144000 3025056153600 3490449408000 3781320192000 4537584230400 5041760256000 5671980288000 7562640384000 9075168460800 11343960576000 15125280768000 22687921152000 45375842304000
- Sum of all divisors σ(n): 186102204384096
- Sum of proper divisors (its aliquot sum) s(n): 140726362080096
- 45375842304000 is an abundant number, because the sum of its proper divisors (140726362080096) is greater than itself. Its abundance is 95350519776096
Bases of 45375842304000
- Binary: 10100101000100111000101111011001000000000000002
- Hexadecimal: 0x2944E2F64000
- Base-36: G31DGXS00
Squares and roots of 45375842304000
- 45375842304000 squared (453758423040002) is 2058967064797476028416000000
- 45375842304000 cubed (453758423040003) is 93427364841380021962624638910464000000000
-
The
square root of 45375842304000 is 6736159.3140305107 -
The
cube root of 45375842304000 is 35667.6831477079
Scales and comparisons
How big is 45375842304000?- 45,375,842,304,000 seconds is equal to 1,442,811 years, 22 weeks, 2 days.
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To count from 1 to 45,375,842,304,000 would take you about three million, six hundred seven thousand and twenty-eight 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 45375842304000 cubic inches would be around 2972.3 feet tall.
Recreational maths with 45375842304000
- 45375842304000 backwards is 00040324857354
- 45375842304000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 45375842304000's digits is 45
- More coming soon!
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The information we have on file for 45375842304000 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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