45427359744000
45,427,359,744,000 is an even composite number composed of six prime numbers multiplied together.
45427359744000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, seven hundred thirty-six divisors.
Prime factorization of 45427359744000:
218 × 32 × 53 × 13 × 172 × 41
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 13 × 17 × 17 × 41)See below for interesting mathematical facts about the number 45427359744000 from the Numbermatics database.
Names of 45427359744000
- Cardinal: 45427359744000 can be written as Forty-five trillion, four hundred twenty-seven billion, three hundred fifty-nine million, seven hundred forty-four thousand.
Scientific notation
- Scientific notation: 4.5427359744 × 1013
Factors of 45427359744000
Divisors of 45427359744000
- Number of divisors d(n): 2736
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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 41 45 48 50 51 52 60 64 65 68 72 75 78 80 82 85 90 96 100 102 104 117 120 123 125 128 130 136 144 150 153 156 160 164 170 180 192 195 200 204 205 208 221 225 234 240 246 250 255 256 260 272 288 289 300 306 312 320 325 328 340 360 369 375 384 390 400 408 410 416 425 442 450 468 480 492 500 510 512 520 533 544 576 578 585 600 612 615 624 640 650 656 663 680 697 720 738 750 765 768 780 800 816 820 832 850 867 884 900 936 960 975 984 1000 1020 1024 1025 1040 1066 1088 1105 1125 1152 1156 1170 1200 1224 1230 1248 1275 1280 1300 1312 1326 1360 1394 1440 1445 1476 1500 1530 1536 1560 1599 1600 1625 1632 1640 1664 1700 1734 1768 1800 1845 1872 1920 1950 1968 1989 2000 2040 2048 2050 2080 2091 2125 2132 2176 2210 2250 2304 2312 2340 2400 2448 2460 2496 2550 2560 2600 2601 2624 2652 2665 2720 2788 2880 2890 2925 2952 3000 3060 3072 3075 3120 3198 3200 3250 3264 3280 3315 3328 3400 3468 3485 3536 3600 3690 3744 3757 3825 3840 3900 3936 3978 4000 4080 4096 4100 4160 4182 4250 4264 4335 4352 4420 4500 4608 4624 4680 4797 4800 4875 4896 4920 4992 5100 5120 5125 5200 5202 5248 5304 5330 5440 5525 5576 5760 5780 5850 5904 6000 6120 6144 6150 6240 6273 6375 6396 6400 6500 6528 6560 6630 6656 6800 6936 6970 7072 7200 7225 7380 7488 7514 7650 7680 7800 7872 7956 7995 8000 8160 8192 8200 8320 8364 8500 8528 8670 8704 8840 9000 9061 9216 9225 9248 9360 9594 9600 9750 9792 9840 9945 9984 10200 10240 10250 10400 10404 10455 10496 10608 10660 10880 11050 11152 11271 11520 11560 11700 11808 11849 12000 12240 12288 12300 12480 12546 12750 12792 12800 13000 13005 13056 13120 13260 13312 13325 13600 13872 13940 14144 14400 14450 14625 14760 14976 15028 15300 15360 15375 15600 15744 15912 15990 16000 16320 16384 16400 16575 16640 16728 17000 17056 17340 17408 17425 17680 18000 18122 18432 18450 18496 18720 18785 19125 19188 19200 19500 19584 19680 19890 19968 20400 20480 20500 20800 20808 20910 20992 21216 21320 21675 21760 22100 22304 22542 23040 23120 23400 23616 23698 23985 24000 24480 24576 24600 24960 25092 25500 25584 25600 26000 26010 26112 26240 26520 26624 26650 27183 27200 27625 27744 27880 28288 28800 28900 29250 29520 29952 30056 30600 30720 30750 31200 31365 31488 31824 31980 32000 32640 32768 32800 33150 33280 33456 33813 34000 34112 34680 34816 34850 35360 35547 36000 36125 36244 36864 36900 36992 37440 37570 38250 38376 38400 39000 39168 39360 39780 39936 39975 40800 40960 41000 41600 41616 41820 41984 42432 42640 43350 43520 44200 44608 45084 45305 46080 46125 46240 46800 47232 47396 47970 48000 48960 49152 49200 49725 49920 50184 51000 51168 51200 52000 52020 52224 52275 52480 53040 53248 53300 54366 54400 55250 55488 55760 56355 56576 57600 57800 58500 59040 59245 59904 60112 61200 61440 61500 62400 62730 62976 63648 63960 64000 65025 65280 65536 65600 66300 66560 66625 66912 67626 68000 68224 69360 69632 69700 70720 71094 72000 72250 72488 73728 73800 73984 74880 75140 76500 76752 76800 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44362656000 44536627200 45427359744 46166016000 46592163840 47320166400 48533504000 50474844160 51388416000 52396032000 53443952640 54600192000 55399219200 55670784000 56784199680 58240204800 59150208000 59382169600 60569812992 61554688000 63093555200 65175552000 66804940800 68517888000 69249024000 69888245760 70980249600 72800256000 73865625600 74227712000 75712266240 77653606400 78594048000 78866944000 83506176000 85229568000 87360307200 88725312000 89073254400 90854719488 92332032000 94640332800 97067008000 100949688320 102776832000 106887905280 109200384000 110798438400 111341568000 113568399360 116480409600 118300416000 121139625984 123109376000 126187110400 133609881600 138498048000 139776491520 141960499200 145600512000 148455424000 151424532480 157188096000 157733888000 167012352000 174720614400 177450624000 178146508800 181709438976 184664064000 189280665600 194134016000 201899376640 205553664000 218400768000 221596876800 222683136000 227136798720 232960819200 236600832000 252374220800 267219763200 276996096000 283920998400 291201024000 296910848000 302849064960 315467776000 334024704000 349441228800 354901248000 363418877952 369328128000 378561331200 388268032000 436801536000 445366272000 454273597440 473201664000 504748441600 534439526400 553992192000 567841996800 582402048000 605698129920 630935552000 668049408000 698882457600 709802496000 757122662400 873603072000 890732544000 908547194880 946403328000 1009496883200 1107984384000 1135683993600 1164804096000 1261871104000 1336098816000 1419604992000 1514245324800 1747206144000 1817094389760 1892806656000 2271367987200 2523742208000 2672197632000 2839209984000 3028490649600 3494412288000 3785613312000 4542735974400 5047484416000 5678419968000 7571226624000 9085471948800 11356839936000 15142453248000 22713679872000 45427359744000
- Sum of all divisors σ(n): 191934365562576
- Sum of proper divisors (its aliquot sum) s(n): 146507005818576
- 45427359744000 is an abundant number, because the sum of its proper divisors (146507005818576) is greater than itself. Its abundance is 101079646074576
Bases of 45427359744000
- Binary: 10100101010000111000011010010000000000000000002
- Hexadecimal: 0x2950E1A40000
- Base-36: G3P1H3B40
Squares and roots of 45427359744000
- 45427359744000 squared (454273597440002) is 2063645013310791745536000000
- 45427359744000 cubed (454273597440003) is 93745944403581005101929578102784000000000
-
The
square root of 45427359744000 is 6739982.1768310337 -
The
cube root of 45427359744000 is 35681.1764712255
Scales and comparisons
How big is 45427359744000?- 45,427,359,744,000 seconds is equal to 1,444,449 years, 27 weeks, 1 day, 16 hours.
-
To count from 1 to 45,427,359,744,000 would take you about three million, six hundred eleven thousand, one hundred twenty-three 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 45427359744000 cubic inches would be around 2973.4 feet tall.
Recreational maths with 45427359744000
- 45427359744000 backwards is 00044795372454
- The number of decimal digits it has is: 14
- The sum of 45427359744000's digits is 54
- More coming soon!
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Cite this page
MLA style:
"Number 45427359744000 - Facts about the integer". Numbermatics.com. 2024. Web. 26 May 2024.
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Numbermatics. (2024). Number 45427359744000 - Facts about the integer. Retrieved 26 May 2024, from https://numbermatics.com/n/45427359744000/
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The information we have on file for 45427359744000 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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