135327044736000
135,327,044,736,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 135327044736000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2200 divisors.
135327044736000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, two hundred divisors.
Prime factorization of 135327044736000:
210 × 34 × 53 × 134 × 457
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 13 × 13 × 13 × 13 × 457)See below for interesting mathematical facts about the number 135327044736000 from the Numbermatics database.
Names of 135327044736000
- Cardinal: 135327044736000 can be written as One hundred thirty-five trillion, three hundred twenty-seven billion, forty-four million, seven hundred thirty-six thousand.
Scientific notation
- Scientific notation: 1.35327044736 × 1014
Factors of 135327044736000
Divisors of 135327044736000
- Number of divisors d(n): 2200
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 30 32 36 39 40 45 48 50 52 54 60 64 65 72 75 78 80 81 90 96 100 104 108 117 120 125 128 130 135 144 150 156 160 162 169 180 192 195 200 208 216 225 234 240 250 256 260 270 288 300 312 320 324 325 338 351 360 375 384 390 400 405 416 432 450 457 468 480 500 507 512 520 540 576 585 600 624 640 648 650 675 676 702 720 750 768 780 800 810 832 845 864 900 914 936 960 975 1000 1014 1024 1040 1053 1080 1125 1152 1170 1200 1248 1280 1296 1300 1350 1352 1371 1404 1440 1500 1521 1536 1560 1600 1620 1625 1664 1690 1728 1755 1800 1828 1872 1920 1950 2000 2025 2028 2080 2106 2160 2197 2250 2285 2304 2340 2400 2496 2535 2560 2592 2600 2700 2704 2742 2808 2880 2925 3000 3042 3072 3120 3200 3240 3250 3328 3375 3380 3456 3510 3600 3656 3744 3840 3900 4000 4050 4056 4113 4160 4212 4225 4320 4394 4500 4563 4570 4608 4680 4800 4875 4992 5070 5120 5184 5200 5265 5400 5408 5484 5616 5760 5850 5941 6000 6084 6240 6400 6480 6500 6591 6656 6750 6760 6855 6912 7020 7200 7312 7488 7605 7680 7800 8000 8100 8112 8226 8320 8424 8450 8640 8775 8788 9000 9126 9140 9216 9360 9600 9750 9984 10125 10140 10368 10400 10530 10800 10816 10968 10985 11232 11425 11520 11700 11882 12000 12168 12339 12480 12675 12800 12960 13000 13182 13312 13500 13520 13689 13710 13824 14040 14400 14624 14625 14976 15210 15360 15600 16000 16200 16224 16452 16640 16848 16900 17280 17550 17576 17823 18000 18252 18280 18720 19200 19500 19773 19968 20250 20280 20565 20736 20800 21060 21125 21600 21632 21936 21970 22464 22815 22850 23040 23400 23764 24000 24336 24678 24960 25350 25600 25920 26000 26325 26364 27000 27040 27378 27420 27648 28080 28561 28800 29248 29250 29705 29952 30420 31200 32000 32400 32448 32904 32955 33280 33696 33800 34275 34560 35100 35152 35646 36000 36504 36560 37017 37440 38025 38400 39000 39546 39936 40500 40560 41130 41472 41600 42120 42250 43200 43264 43872 43875 43940 44928 45630 45700 46080 46800 47528 48000 48672 49356 49920 50700 51840 52000 52650 52728 53469 54000 54080 54756 54840 54925 56160 57122 57125 57600 58496 58500 59319 59410 59904 60840 61695 62400 63375 64000 64800 64896 65808 65910 66560 67392 67600 68445 68550 69120 70200 70304 71292 72000 73008 73120 74034 74880 76050 76800 77233 78000 79092 81000 81120 82260 82944 83200 84240 84500 85683 86400 86528 87744 87750 87880 89115 89856 91260 91400 93600 95056 96000 97344 98712 98865 99840 101400 102825 103680 104000 105300 105456 106938 108000 108160 109512 109680 109850 112320 114075 114244 114250 115200 116992 117000 118638 118820 119808 121680 123390 124800 126750 128000 129600 129792 131616 131625 131820 134784 135200 136890 137100 138240 140400 140608 142584 142805 144000 146016 146240 148068 148525 149760 152100 154466 156000 158184 160407 162000 162240 164520 164775 166400 168480 169000 171366 171375 172800 173056 175488 175500 175760 177957 178230 179712 182520 182800 185085 187200 190112 190125 192000 194688 197424 197730 199680 202800 205650 207360 208000 210600 210912 213876 216000 216320 219024 219360 219700 224640 228150 228488 228500 230400 231699 233984 234000 237276 237640 243360 246780 249600 253500 257049 259200 259584 263232 263250 263640 267345 269568 270400 273780 274200 274625 280800 281216 285168 285610 288000 292032 292480 296136 296595 297050 299520 304200 308475 308932 312000 316368 320814 324000 324480 329040 329550 332800 336960 338000 342225 342732 342750 345600 350976 351000 351520 355914 356460 359424 365040 365600 370170 374400 380224 380250 384000 386165 389376 394848 395460 405600 411300 414720 416000 421200 421824 427752 428415 432000 432640 438048 438720 439400 445575 449280 456300 456976 457000 463398 467968 468000 474552 475280 481221 486720 493560 494325 499200 507000 514098 514125 518400 519168 526464 526500 527280 534690 539136 540800 547560 548400 549250 561600 562432 570336 570375 571220 576000 584064 584960 592272 593190 594100 599040 608400 616950 617864 624000 632736 641628 648000 648960 658080 659100 673920 676000 684450 685464 685500 691200 695097 701952 702000 703040 711828 712920 714025 730080 731200 740340 742625 748800 760448 760500 771147 772330 778752 789696 790920 802035 811200 822600 823875 832000 842400 843648 855504 856830 864000 865280 876096 877440 878800 889785 891150 898560 912600 913952 914000 925425 926796 936000 949104 950560 962442 973440 987120 988650 998400 1004029 1014000 1028196 1028250 1036800 1052928 1053000 1054560 1069380 1078272 1081600 1095120 1096800 1098500 1123200 1124864 1140672 1140750 1142440 1152000 1158495 1168128 1169920 1184544 1186380 1188200 1216800 1233900 1235728 1248000 1265472 1283256 1285245 1296000 1297920 1316160 1318200 1336725 1347840 1352000 1368900 1370928 1371000 1390194 1403904 1404000 1406080 1423656 1425840 1428050 1460160 1462400 1480680 1482975 1485250 1497600 1520896 1521000 1542294 1542375 1544660 1557504 1579392 1581840 1604070 1622400 1645200 1647750 1664000 1684800 1687296 1711008 1711125 1713660 1728000 1752192 1754880 1757600 1779570 1782300 1797120 1825200 1827904 1828000 1850850 1853592 1872000 1898208 1901120 1924884 1930825 1946880 1974240 1977300 2008058 2028000 2056392 2056500 2073600 2085291 2105856 2106000 2109120 2138760 2142075 2163200 2190240 2193600 2197000 2227875 2246400 2249728 2281344 2281500 2284880 2313441 2316990 2336256 2339840 2369088 2372760 2376400 2406105 2433600 2467800 2471456 2471625 2496000 2530944 2566512 2570490 2592000 2595840 2632320 2636400 2673450 2695680 2704000 2737800 2741856 2742000 2780388 2808000 2812160 2847312 2851680 2856100 2920320 2924800 2961360 2965950 2970500 2995200 3012087 3041792 3042000 3084588 3084750 3089320 3158784 3163680 3208140 3244800 3290400 3295500 3369600 3374592 3422016 3422250 3427320 3456000 3475485 3504384 3509760 3515200 3559140 3564600 3570125 3650400 3655808 3656000 3701700 3707184 3744000 3796416 3802240 3849768 3855735 3861650 3893760 3948480 3954600 4010175 4016116 4056000 4112784 4113000 4170582 4211712 4212000 4218240 4277520 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541308178944 563862686400 578320704000 601453532160 626514096000 650610792000 676635223680 693984844800 704828358000 751816915200 800751744000 835352128000 845794029600 867481056000 902180298240 939771144000 1002422553600 1040977267200 1057242537000 1082616357888 1127725372800 1156641408000 1253028192000 1301221584000 1353270447360 1409656716000 1503633830400 1670704256000 1691588059200 1734962112000 1804360596480 1879542288000 2081954534400 2114485074000 2255450745600 2506056384000 2602443168000 2706540894720 2819313432000 3007267660800 3383176118400 3469924224000 3759084576000 4228970148000 4510901491200 5012112768000 5204886336000 5413081789440 5638626864000 6766352236800 7518169152000 8457940296000 9021802982400 10409772672000 11277253728000 13532704473600 15036338304000 16915880592000 22554507456000 27065408947200 33831761184000 45109014912000 67663522368000 135327044736000
- Sum of all divisors σ(n): 547554856350216
- Sum of proper divisors (its aliquot sum) s(n): 412227811614216
- 135327044736000 is an abundant number, because the sum of its proper divisors (412227811614216) is greater than itself. Its abundance is 276900766878216
Bases of 135327044736000
- Binary: 111101100010100010010000110111000010100000000002
- Hexadecimal: 0x7B14486E1400
- Base-36: 1BYWDWE800
Squares and roots of 135327044736000
- 135327044736000 squared (1353270447360002) is 18313409036979345309696000000
- 135327044736000 cubed (1353270447360003) is 2478299524015970541033222366560256000000000
-
The
square root of 135327044736000 is 11633015.2899409529 -
The
cube root of 135327044736000 is 51340.6700776095
Scales and comparisons
How big is 135327044736000?- 135,327,044,736,000 seconds is equal to 4,302,981 years, 22 weeks, 2 days.
-
To count from 1 to 135,327,044,736,000 would take you about ten million, seven hundred fifty-seven thousand, four hundred fifty-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 135327044736000 cubic inches would be around 4278.4 feet tall.
Recreational maths with 135327044736000
- 135327044736000 backwards is 000637440723531
- 135327044736000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 135327044736000's digits is 45
- More coming soon!
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Numbermatics. (2024). Number 135327044736000 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/135327044736000/
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Numbermatics. 2024. "Number 135327044736000 - Facts about the integer". https://numbermatics.com/n/135327044736000/
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