145642446144000
145,642,446,144,000 is an even composite number composed of seven prime numbers multiplied together.
145642446144000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, five hundred sixty divisors.
Prime factorization of 145642446144000:
29 × 33 × 53 × 13 × 31 × 41 × 5101
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 13 × 31 × 41 × 5101)See below for interesting mathematical facts about the number 145642446144000 from the Numbermatics database.
Names of 145642446144000
- Cardinal: 145642446144000 can be written as One hundred forty-five trillion, six hundred forty-two billion, four hundred forty-six million, one hundred forty-four thousand.
Scientific notation
- Scientific notation: 1.45642446144 × 1014
Factors of 145642446144000
Divisors of 145642446144000
- Number of divisors d(n): 2560
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 30 31 32 36 39 40 41 45 48 50 52 54 60 62 64 65 72 75 78 80 82 90 93 96 100 104 108 117 120 123 124 125 128 130 135 144 150 155 156 160 164 180 186 192 195 200 205 208 216 225 234 240 246 248 250 256 260 270 279 288 300 310 312 320 325 328 351 360 369 372 375 384 390 400 403 410 416 432 450 465 468 480 492 496 500 512 520 533 540 558 576 585 600 615 620 624 640 650 656 675 702 720 738 744 750 768 775 780 800 806 820 832 837 864 900 930 936 960 975 984 992 1000 1025 1040 1066 1080 1107 1116 1125 1152 1170 1200 1209 1230 1240 1248 1271 1280 1300 1312 1350 1395 1404 1440 1476 1488 1500 1536 1550 1560 1599 1600 1612 1625 1640 1664 1674 1728 1755 1800 1845 1860 1872 1920 1950 1968 1984 2000 2015 2050 2080 2132 2160 2214 2232 2250 2304 2325 2340 2400 2418 2460 2480 2496 2542 2560 2600 2624 2665 2700 2790 2808 2880 2925 2952 2976 3000 3075 3100 3120 3198 3200 3224 3250 3280 3328 3348 3375 3456 3510 3600 3627 3690 3720 3744 3813 3840 3875 3900 3936 3968 4000 4030 4100 4160 4185 4264 4320 4428 4464 4500 4608 4650 4680 4797 4800 4836 4875 4920 4960 4992 5084 5101 5125 5200 5248 5330 5400 5535 5580 5616 5760 5850 5904 5952 6000 6045 6150 6200 6240 6355 6396 6400 6448 6500 6560 6656 6696 6750 6912 6975 7020 7200 7254 7380 7440 7488 7626 7680 7750 7800 7872 7936 7995 8000 8060 8200 8320 8370 8528 8640 8775 8856 8928 9000 9225 9300 9360 9594 9600 9672 9750 9840 9920 9984 10075 10168 10202 10250 10400 10496 10660 10800 10881 11070 11160 11232 11439 11520 11625 11700 11808 11904 12000 12090 12300 12400 12480 12710 12792 12800 12896 13000 13120 13325 13392 13500 13824 13950 14040 14391 14400 14508 14625 14760 14880 14976 15252 15303 15375 15500 15600 15744 15872 15990 16000 16120 16400 16523 16640 16740 17056 17280 17550 17712 17856 18000 18135 18450 18600 18720 19065 19188 19200 19344 19500 19680 19840 19968 20150 20336 20404 20500 20800 20925 20992 21320 21600 21762 22140 22320 22464 22878 23040 23250 23400 23616 23808 23985 24000 24180 24600 24800 24960 25420 25505 25584 25792 26000 26240 26650 26784 27000 27675 27900 28080 28782 28800 29016 29250 29520 29760 29952 30225 30504 30606 30750 31000 31200 31488 31775 31980 32000 32240 32800 33046 33280 33480 34112 34317 34560 34875 35100 35424 35712 36000 36270 36900 37200 37440 38130 38376 38400 38688 39000 39360 39680 39975 40300 40672 40808 41000 41600 41850 42640 43200 43524 43875 44280 44640 44928 45756 45909 46125 46500 46800 47232 47616 47970 48000 48360 49200 49569 49600 49920 50375 50840 51010 51168 51584 52000 52480 53300 53568 54000 54405 55350 55800 56160 57195 57564 57600 58032 58500 59040 59520 59904 60450 61008 61212 61500 62000 62400 62976 63550 63960 64000 64480 65600 66092 66313 66625 66960 68224 68634 69120 69750 70200 70848 71424 71955 72000 72540 73800 74400 74880 76260 76515 76752 77376 78000 78720 79360 79950 80600 81344 81616 82000 82615 83200 83700 85280 86400 87048 87750 88560 89280 89856 90675 91512 91818 92250 93000 93600 94464 95325 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130503984000 131564992000 134854116800 136625184000 140040813600 142090191360 145642446144 146816982000 148010616000 149376867840 151710881400 155600904000 156604780800 161824940160 168567646000 174005312000 175051017000 177612739200 180697824000 182053057680 186721084800 187925736960 189638601750 194189928192 195755976000 197347488000 202281175200 207467872000 215766586880 222015924000 224065301760 227566322100 233401356000 234907171200 236816985600 242737410240 248961446400 252851469000 261007968000 269708233600 273250368000 280081627200 284457902625 291284892288 293633964000 296021232000 303421762800 311201808000 313209561600 323649880320 337135292000 350102034000 355225478400 361395648000 364106115360 373442169600 379277203500 388379856384 391511952000 394694976000 404562350400 414935744000 444031848000 448130603520 455132644200 466802712000 469814342400 485474820480 505702938000 522015936000 539416467200 560163254400 568915805250 582569784576 587267928000 592042464000 606843525600 622403616000 647299760640 674270584000 700204068000 710450956800 728212230720 746884339200 758554407000 783023904000 809124700800 888063696000 910265288400 933605424000 939628684800 970949640960 1011405876000 1078832934400 1120326508800 1137831610500 1165139569152 1174535856000 1184084928000 1213687051200 1244807232000 1348541168000 1400408136000 1456424461440 1517108814000 1566047808000 1618249401600 1776127392000 1820530576800 1867210848000 1941899281920 2022811752000 2240653017600 2275663221000 2349071712000 2427374102400 2697082336000 2800816272000 2912848922880 3034217628000 3236498803200 3552254784000 3641061153600 3734421696000 4045623504000 4551326442000 4698143424000 4854748204800 5394164672000 5601632544000 5825697845760 6068435256000 7282122307200 8091247008000 9102652884000 9709496409600 11203265088000 12136870512000 14564244614400 16182494016000 18205305768000 24273741024000 29128489228800 36410611536000 48547482048000 72821223072000 145642446144000
- Sum of all divisors σ(n): 612813017456640
- Sum of proper divisors (its aliquot sum) s(n): 467170571312640
- 145642446144000 is an abundant number, because the sum of its proper divisors (467170571312640) is greater than itself. Its abundance is 321528125168640
Bases of 145642446144000
- Binary: 1000010001110110000001100100010001000010000000002
- Hexadecimal: 0x847606444200
- Base-36: 1FMJ7S22O0
Squares and roots of 145642446144000
- 145642446144000 squared (1456424461440002) is 21211722118807940468736000000
- 145642446144000 cubed (1456424461440003) is 3089327096309979039197440995753984000000000
-
The
square root of 145642446144000 is 12068241.2199955633 -
The
cube root of 145642446144000 is 52613.3540074817
Scales and comparisons
How big is 145642446144000?- 145,642,446,144,000 seconds is equal to 4,630,979 years, 14 weeks, 6 days.
-
To count from 1 to 145,642,446,144,000 would take you about eleven million, five hundred seventy-seven thousand, four hundred forty-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 145642446144000 cubic inches would be around 4384.4 feet tall.
Recreational maths with 145642446144000
- 145642446144000 backwards is 000441644246541
- 145642446144000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 145642446144000's digits is 45
- More coming soon!
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The information we have on file for 145642446144000 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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