45742128120000
45,742,128,120,000 is an even composite number composed of seven prime numbers multiplied together.
45742128120000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, five hundred twenty divisors.
Prime factorization of 45742128120000:
26 × 32 × 54 × 132 × 31 × 79 × 307
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 13 × 13 × 31 × 79 × 307)See below for interesting mathematical facts about the number 45742128120000 from the Numbermatics database.
Names of 45742128120000
- Cardinal: 45742128120000 can be written as Forty-five trillion, seven hundred forty-two billion, one hundred twenty-eight million, one hundred twenty thousand.
Scientific notation
- Scientific notation: 4.574212812 × 1013
Factors of 45742128120000
Divisors of 45742128120000
- Number of divisors d(n): 2520
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 30 31 32 36 39 40 45 48 50 52 60 62 64 65 72 75 78 79 80 90 93 96 100 104 117 120 124 125 130 144 150 155 156 158 160 169 180 186 192 195 200 208 225 234 237 240 248 250 260 279 288 300 307 310 312 316 320 325 338 360 372 375 390 395 400 403 416 450 465 468 474 480 496 500 507 520 558 576 585 600 614 620 624 625 632 650 676 711 720 744 750 775 780 790 800 806 832 845 900 921 930 936 948 960 975 992 1000 1014 1027 1040 1116 1125 1170 1185 1200 1209 1228 1240 1248 1250 1264 1300 1352 1395 1422 1440 1488 1500 1521 1535 1550 1560 1580 1600 1612 1625 1690 1800 1842 1860 1872 1875 1896 1950 1975 1984 2000 2015 2028 2054 2080 2232 2250 2325 2340 2370 2400 2418 2449 2456 2480 2496 2500 2528 2535 2600 2704 2763 2790 2844 2880 2925 2976 3000 3042 3070 3081 3100 3120 3160 3224 3250 3380 3555 3600 3627 3684 3720 3744 3750 3792 3875 3900 3950 3991 4000 4030 4056 4108 4160 4225 4464 4500 4605 4650 4680 4740 4800 4836 4875 4898 4912 4960 5000 5056 5070 5135 5200 5239 5408 5526 5580 5625 5688 5850 5925 5952 6000 6045 6084 6140 6162 6200 6240 6320 6448 6500 6760 6975 7110 7200 7254 7347 7368 7440 7488 7500 7584 7605 7675 7750 7800 7900 7982 8000 8060 8112 8125 8216 8450 8928 9000 9210 9243 9300 9360 9480 9517 9672 9750 9796 9824 9875 9920 10000 10075 10140 10270 10400 10478 10816 11052 11160 11250 11376 11625 11700 11850 11973 12000 12090 12168 12245 12280 12324 12400 12480 12640 12675 12896 13000 13351 13520 13815 13950 14220 14400 14508 14625 14694 14736 14880 15000 15168 15210 15350 15405 15500 15600 15717 15800 15964 16120 16224 16250 16432 16900 17775 17856 18000 18135 18420 18486 18600 18720 18960 19034 19344 19375 19500 19592 19648 19750 19955 20000 20150 20280 20540 20800 20956 21125 22041 22104 22320 22500 22752 23025 23250 23400 23700 23946 24000 24180 24253 24336 24375 24490 24560 24648 24800 25280 25350 25675 25792 26000 26195 26702 27040 27630 27900 28440 28551 29016 29250 29388 29472 29625 29760 30000 30225 30420 30700 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- Sum of all divisors σ(n): 186054371543040
- Sum of proper divisors (its aliquot sum) s(n): 140312243423040
- 45742128120000 is an abundant number, because the sum of its proper divisors (140312243423040) is greater than itself. Its abundance is 94570115303040
Bases of 45742128120000
- Binary: 10100110011010001010110100110001000000110000002
- Hexadecimal: 0x299A2B4C40C0
- Base-36: G7PN620G0
Squares and roots of 45742128120000
- 45742128120000 squared (457421281200002) is 2092342284946494734400000000
- 45742128120000 cubed (457421281200003) is 95708188868916109485830171328000000000000
-
The
square root of 45742128120000 is 6763292.6980872269 -
The
cube root of 45742128120000 is 35763.3990545589
Scales and comparisons
How big is 45742128120000?- 45,742,128,120,000 seconds is equal to 1,454,458 years, 9 weeks, 4 days, 4 hours.
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To count from 1 to 45,742,128,120,000 would take you about three million, six hundred thirty-six thousand, one hundred forty-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 45742128120000 cubic inches would be around 2980.3 feet tall.
Recreational maths with 45742128120000
- 45742128120000 backwards is 00002182124754
- 45742128120000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 45742128120000's digits is 36
- More coming soon!
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The information we have on file for 45742128120000 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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