4142453196408800
4,142,453,196,408,800 is an even composite number composed of six prime numbers multiplied together.
4142453196408800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, two hundred sixty-eight divisors.
Prime factorization of 4142453196408800:
25 × 52 × 76 × 132 × 312 × 271
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 7 × 7 × 7 × 7 × 13 × 13 × 31 × 31 × 271)See below for interesting mathematical facts about the number 4142453196408800 from the Numbermatics database.
Names of 4142453196408800
- Cardinal: 4142453196408800 can be written as Four quadrillion, one hundred forty-two trillion, four hundred fifty-three billion, one hundred ninety-six million, four hundred eight thousand, eight hundred.
Scientific notation
- Scientific notation: 4.1424531964088 × 1015
Factors of 4142453196408800
Divisors of 4142453196408800
- Number of divisors d(n): 2268
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Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 31 32 35 40 49 50 52 56 62 65 70 80 91 98 100 104 112 124 130 140 155 160 169 175 182 196 200 208 217 224 245 248 260 271 280 310 325 338 343 350 364 392 400 403 416 434 455 490 496 520 542 560 620 637 650 676 686 700 728 775 784 800 806 845 868 910 961 980 992 1040 1084 1085 1120 1183 1225 1240 1274 1300 1352 1355 1372 1400 1456 1519 1550 1568 1612 1690 1715 1736 1820 1897 1922 1960 2015 2080 2168 2170 2275 2366 2401 2450 2480 2548 2600 2704 2710 2744 2800 2821 2912 3038 3100 3185 3224 3380 3430 3472 3523 3640 3794 3844 3920 4030 4225 4336 4340 4459 4550 4732 4802 4805 4900 4960 5096 5200 5239 5408 5420 5425 5488 5600 5642 5915 6076 6200 6370 6448 6727 6760 6775 6860 6944 7046 7280 7588 7595 7688 7840 8060 8281 8401 8450 8575 8672 8680 8918 9100 9464 9485 9604 9610 9800 10075 10192 10400 10478 10633 10840 10850 10976 11284 11830 12005 12152 12400 12493 12740 12896 13279 13454 13520 13550 13720 14092 14105 14560 15176 15190 15376 15925 16120 16562 16802 16807 16900 17150 17360 17615 17836 18200 18928 18970 19208 19220 19600 19747 20150 20384 20956 21266 21680 21700 22295 22568 23660 24010 24025 24304 24661 24800 24986 25480 26195 26558 26908 27040 27100 27440 28184 28210 29575 30352 30380 30752 31213 31850 32240 33124 33604 33614 33635 33800 34300 34720 35230 35672 36400 36673 37856 37940 37975 38416 38440 39200 39494 40300 41405 41912 42005 42532 43360 43400 44590 45136 45799 47089 47320 47425 48020 48050 48608 49322 49972 50960 52390 53116 53165 53816 54200 54880 56368 56420 57967 58807 59150 60025 60704 60760 62426 62465 63700 64480 66248 66395 67208 67228 67270 67600 68600 70460 70525 71344 72800 73346 74431 75880 75950 76832 76880 78988 80600 82810 83824 84010 84035 85064 86800 87451 88075 89180 90272 91598 92953 94178 94640 94850 96040 96100 98644 98735 99944 101920 104780 106232 106330 107632 108400 109213 111475 112736 112840 115934 117614 117649 118300 120050 121520 123305 124852 124930 127400 130975 132496 132790 134416 134456 134540 135200 137200 138229 140920 141050 142688 146692 148862 151760 151900 153760 156065 157976 161200 162409 165620 167648 168020 168070 168175 170128 172627 173600 174902 176150 178360 183196 183365 185906 188356 189280 189700 192080 192200 197288 197470 199888 207025 209560 210025 212464 212660 215264 216800 218426 218491 222950 225680 228995 231868 235228 235298 235445 236600 240100 243040 246610 249704 249860 254800 256711 260431 261950 264992 265580 265825 268832 268912 269080 274400 276458 281840 282100 289835 293384 294035 297724 303520 303800 312130 312325 315952 320593 322400 324818 329623 331240 331975 336040 336140 336350 340256 345254 349804 352300 356720 366392 366730 371812 372155 376712 379400 384160 384400 394576 394940 399776 405769 411649 414050 419120 420050 420175 424928 425320 436852 436982 437255 445900 451360 457990 463736 464765 470456 470596 470890 473200 480200 493220 493675 499408 499720 509600 513422 520862 521017 523900 531160 531650 537824 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812883280300 835172015405 845398611512 862113048160 862651644400 875412763400 910429273936 929009463200 954482303320 955362822050 980462295008 1027904018960 1056748264390 1077641310200 1091843225200 1138036592420 1175831165600 1193102879150 1207712302160 1225577868760 1284880023700 1300613248480 1336275224648 1363546147600 1422545740525 1468434312800 1479447570146 1509640377700 1528580515280 1531972335950 1593251229388 1625766560600 1670344030810 1690797223024 1725303288800 1750825526800 1820858547872 1908964606640 1910725644100 1991564036735 2055808037920 2113496528780 2155282620400 2183686450400 2276073184840 2386205758300 2415424604320 2451155737520 2569760047400 2641870660975 2672550449296 2727092295200 2845091481050 2958895140292 3019280755400 3057161030560 3063944671900 3186502458776 3251533121200 3340688061620 3381594446048 3501651053600 3698618925365 3817929213280 3821451288200 3983128073470 4175860077025 4226993057560 4310565240800 4552146369680 4772411516600 4902311475040 5139520094800 5178066495511 5283741321950 5345100898592 5690182962100 5917790280584 6038561510800 6127889343800 6373004917552 6503066242400 6681376123240 7397237850730 7642902576400 7966256146940 8351720154050 8453986115120 9104292739360 9544823033200 9957820183675 10279040189600 10356132991022 10567482643900 11380365924200 11835580561168 12077123021600 12255778687600 12746009835104 13362752246480 14794475701460 15285805152800 15932512293880 16703440308100 16907972230240 18493094626825 19089646066400 19915640367350 20712265982044 21134965287800 22760731848400 23671161122336 24511557375200 25890332477555 26725504492960 29588951402920 31865024587760 33406880616200 36986189253650 39831280734700 41424531964088 42269930575600 45521463696800 51780664955110 59177902805840 63730049175520 66813761232400 73972378507300 79662561469400 82849063928176 84539861151200 103561329910220 118355805611680 129451662387775 133627522464800 147944757014600 159325122938800 165698127856352 207122659820440 258903324775550 295889514029200 318650245877600 414245319640880 517806649551100 591779028058400 828490639281760 1035613299102200 2071226598204400 4142453196408800
- Sum of all divisors σ(n): 13249698256006128
- Sum of proper divisors (its aliquot sum) s(n): 9107245059597328
- 4142453196408800 is an abundant number, because the sum of its proper divisors (9107245059597328) is greater than itself. Its abundance is 4964791863188528
Bases of 4142453196408800
- Binary: 11101011011110001010000010110100010101000111111000002
- Hexadecimal: 0xEB78A0B4547E0
- Base-36: 14SDKQ6640W
Squares and roots of 4142453196408800
- 4142453196408800 squared (41424531964088002) is 17159918484437484149216717440000
- 4142453196408800 cubed (41424531964088003) is 71084159175972507152560175576156732329472000000
-
The
square root of 4142453196408800 is 64361892.4240796387 -
The
cube root of 4142453196408800 is 160602.5870346131
Scales and comparisons
How big is 4142453196408800?- 4,142,453,196,408,800 seconds is equal to 131,717,198 years, 10 weeks, 1 day, 14 hours, 53 minutes, 20 seconds.
-
To count from 1 to 4,142,453,196,408,800 would take you about three hundred ninety-five million, one hundred fifty-one thousand, five hundred ninety-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 4142453196408800 cubic inches would be around 13383.5 feet tall.
Recreational maths with 4142453196408800
- 4142453196408800 backwards is 0088046913542414
- The number of decimal digits it has is: 16
- The sum of 4142453196408800's digits is 59
- More coming soon!
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"Number 4142453196408800 - Facts about the integer". Numbermatics.com. 2024. Web. 30 May 2024.
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Numbermatics. (2024). Number 4142453196408800 - Facts about the integer. Retrieved 30 May 2024, from https://numbermatics.com/n/4142453196408800/
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The information we have on file for 4142453196408800 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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