135423319200
135,423,319,200 is an even composite number composed of seven prime numbers multiplied together.
What does the number 135423319200 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 864 divisors.
135423319200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 135423319200:
25 × 3 × 52 × 13 × 172 × 23 × 653
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 13 × 17 × 17 × 23 × 653)See below for interesting mathematical facts about the number 135423319200 from the Numbermatics database.
Names of 135423319200
- Cardinal: 135423319200 can be written as One hundred thirty-five billion, four hundred twenty-three million, three hundred nineteen thousand, two hundred.
Scientific notation
- Scientific notation: 1.354233192 × 1011
Factors of 135423319200
Divisors of 135423319200
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 17 20 23 24 25 26 30 32 34 39 40 46 48 50 51 52 60 65 68 69 75 78 80 85 92 96 100 102 104 115 120 130 136 138 150 156 160 170 184 195 200 204 208 221 230 240 255 260 272 276 289 299 300 312 325 340 345 368 390 391 400 408 416 425 442 460 480 510 520 544 552 575 578 598 600 624 650 653 663 680 690 736 780 782 800 816 850 867 884 897 920 975 1020 1040 1104 1105 1150 1156 1173 1196 1200 1248 1275 1300 1306 1326 1360 1380 1445 1495 1560 1564 1632 1700 1725 1734 1768 1794 1840 1950 1955 1959 2040 2080 2208 2210 2300 2312 2346 2392 2400 2550 2600 2612 2652 2720 2760 2890 2990 3120 3128 3265 3315 3400 3450 3468 3536 3588 3680 3757 3900 3910 3918 4080 4335 4420 4485 4600 4624 4692 4784 5083 5100 5200 5224 5304 5520 5525 5780 5865 5980 6240 6256 6530 6630 6647 6800 6900 6936 7072 7176 7225 7475 7514 7800 7820 7836 8160 8489 8670 8840 8970 9200 9248 9384 9568 9775 9795 10166 10200 10400 10448 10608 11040 11050 11101 11271 11560 11730 11960 12512 13060 13260 13294 13600 13800 13872 14352 14450 14950 15019 15028 15249 15600 15640 15672 16325 16575 16978 17340 17680 17940 18400 18768 18785 19550 19590 19941 20332 20400 20896 21216 21675 22100 22202 22425 22542 23120 23460 23920 25415 25467 26120 26520 26588 27600 27744 28704 28900 29325 29900 30038 30056 30498 31200 31280 31344 32650 33150 33235 33303 33956 34680 35360 35880 37536 37570 39100 39180 39882 40664 40800 42445 43350 44200 44404 44850 45057 45084 46240 46920 47840 48975 50830 50934 52240 53040 53176 55200 55505 56355 57800 58650 59800 60076 60112 60996 62560 62688 65300 66300 66470 66606 67912 69360 71760 75095 75140 76245 78200 78360 79764 81328 84890 86411 86700 88400 88808 89700 90114 90168 93840 93925 97950 99705 101660 101868 104480 106080 106352 111010 112710 115600 117300 119600 120152 120224 121992 127075 127335 130600 132600 132940 133212 135824 138720 143520 144313 150190 150280 152490 156400 156720 159528 162656 166175 166515 169780 172822 173400 176800 177616 179400 180228 180336 187680 187850 188717 195247 195900 199410 203320 203736 212225 212704 222020 225285 225420 231200 234600 239200 240304 243984 254150 254670 255323 259233 261200 265200 265880 266424 271648 277525 281775 288626 300380 300560 304980 312800 313440 319056 332350 333030 339560 345644 346800 355232 358800 360456 360672 375475 375700 377434 381225 390494 391800 398820 406640 407472 424450 432055 432939 444040 450570 450840 469200 480608 487968 498525 508300 509340 510646 518466 522400 530400 531760 532848 555050 563550 566151 577252 585741 600760 601120 609960 636675 638112 664700 666060 679120 691288 693600 717600 720912 721565 750950 751400 754868 762450 765969 780988 783600 797640 813280 814944 832575 848900 864110 865878 888080 901140 901680 938400 943585 976235 997050 1016600 1018680 1021292 1036932 1063520 1065696 1110100 1126425 1127100 1132302 1154504 1171482 1201520 1219920 1273350 1276615 1296165 1329400 1332120 1358240 1382576 1441824 1443130 1501900 1502800 1509736 1524900 1531938 1561976 1567200 1595280 1665150 1697800 1728220 1731756 1776160 1802280 1803360 1887170 1952470 1994100 2033200 2037360 2042584 2073864 2160275 2164695 2220200 2252850 2254200 2264604 2309008 2342964 2403040 2439840 2453321 2546700 2553230 2592330 2658800 2664240 2765152 2830755 2886260 2928705 3003800 3005600 3019472 3049800 3063876 3123952 3190560 3319199 3330300 3395600 3456440 3463512 3604560 3607825 3774340 3829845 3904940 3988200 4066400 4074720 4085168 4147728 4320550 4329390 4340491 4440400 4505700 4508400 4529208 4618016 4685928 4717925 4881175 4906642 5093400 5106460 5184660 5317600 5328480 5661510 5772520 5857410 6007600 6038944 6099600 6127752 6247904 6383075 6480825 6638398 6660600 6791200 6912880 6927024 7209120 7215650 7359963 7548680 7659690 7809880 7976400 8170336 8295456 8641100 8658780 8680982 8880800 9011400 9016800 9058416 9371856 9435850 9762350 9813284 9957597 10186800 10212920 10369320 10823475 11323020 11545040 11714820 12015200 12199200 12255504 12266605 12766150 12961650 13021473 13276796 13321200 13825760 13854048 14153775 14431300 14643525 14719926 15097360 15319380 15619760 15952800 16595995 17282200 17317560 17361964 18022800 18116832 18743712 18871700 19149225 19524700 19626568 19915194 20373600 20425840 20738640 21646950 21702455 22646040 23090080 23429640 24511008 24533210 25532300 25923300 26042946 26553592 26642400 28307550 28862600 29287050 29439852 30194720 30638760 31239520 33191990 34564400 34635120 34723928 36045600 36799815 37743400 38298450 39049400 39253136 39830388 40851680 41477280 43293900 43404910 45292080 46859280 49066420 49787985 51064600 51846600 52085892 53107184 56426383 56615100 57725200 58574100 58879704 61277520 61333025 65107365 66383980 69128800 69270240 69447856 73599630 75486800 76596900 78098800 78506272 79660776 82979975 86587800 86809820 90584160 93718560 98132840 99575970 102129200 103693200 104171784 106214368 108512275 112852766 113230200 115450400 117148200 117759408 122555040 122666050 130214730 132767960 138895712 147199260 150973600 153193800 156197600 159321552 165959950 169279149 173175600 173619640 183999075 196265680 199151940 204258400 207386400 208343568 217024550 225705532 226460400 234296400 235518816 245332100 248939925 260429460 265535920 282131915 294398520 306387600 318643104 325536825 331919900 338558298 346351200 347239280 367998150 392531360 398303880 416687136 434049100 451411064 452920800 468592800 490664200 497879850 520858920 531071840 564263830 588797040 612775200 651073650 663839800 677116596 694478560 735996300 796607760 846395745 868098200 902822128 981328400 995759700 1041717840 1128527660 1177594080 1302147300 1327679600 1354233192 1410659575 1471992600 1593215520 1692791490 1736196400 1805644256 1962656800 1991519400 2083435680 2257055320 2604294600 2655359200 2708466384 2821319150 2943985200 3385582980 3472392800 3983038800 4231978725 4514110640 5208589200 5416932768 5642638300 5887970400 6771165960 7966077600 8463957450 9028221280 10417178400 11285276600 13542331920 16927914900 22570553200 27084663840 33855829800 45141106400 67711659600 135423319200
- Sum of all divisors σ(n): 527008519296
- Sum of proper divisors (its aliquot sum) s(n): 391585200096
- 135423319200 is an abundant number, because the sum of its proper divisors (391585200096) is greater than itself. Its abundance is 256161880896
Bases of 135423319200
- Binary: 11111100001111101101111011100101000002
- Hexadecimal: 0x1F87DBDCA0
- Base-36: 1Q7NJPUO
Squares and roots of 135423319200
- 135423319200 squared (1354233192002) is 18339475383145088640000
- 135423319200 cubed (1354233192003) is 2483592628772199638807013888000000
-
The
square root of 135423319200 is 367999.0749988375 -
The
cube root of 135423319200 is 5135.2842130457
Scales and comparisons
How big is 135423319200?- 135,423,319,200 seconds is equal to 4,306 years, 2 weeks, 1 day, 12 hours, 40 minutes.
-
To count from 1 to 135,423,319,200 would take you about eight thousand, six hundred twelve 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 135423319200 cubic inches would be around 427.9 feet tall.
Recreational maths with 135423319200
- 135423319200 backwards is 002913324531
- The number of decimal digits it has is: 12
- The sum of 135423319200's digits is 33
- More coming soon!
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The information we have on file for 135423319200 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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