135246438912000
135,246,438,912,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 135246438912000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2496 divisors.
135246438912000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, four hundred ninety-six divisors.
Prime factorization of 135246438912000:
212 × 3 × 53 × 13 × 31 × 41 × 732
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 13 × 31 × 41 × 73 × 73)See below for interesting mathematical facts about the number 135246438912000 from the Numbermatics database.
Names of 135246438912000
- Cardinal: 135246438912000 can be written as One hundred thirty-five trillion, two hundred forty-six billion, four hundred thirty-eight million, nine hundred twelve thousand.
Scientific notation
- Scientific notation: 1.35246438912 × 1014
Factors of 135246438912000
Divisors of 135246438912000
- Number of divisors d(n): 2496
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 31 32 39 40 41 48 50 52 60 62 64 65 73 75 78 80 82 93 96 100 104 120 123 124 125 128 130 146 150 155 156 160 164 186 192 195 200 205 208 219 240 246 248 250 256 260 292 300 310 312 320 325 328 365 372 375 384 390 400 403 410 416 438 465 480 492 496 500 512 520 533 584 600 615 620 624 640 650 656 730 744 750 768 775 780 800 806 820 832 876 930 949 960 975 984 992 1000 1024 1025 1040 1066 1095 1168 1200 1209 1230 1240 1248 1271 1280 1300 1312 1460 1488 1500 1536 1550 1560 1599 1600 1612 1625 1640 1664 1752 1825 1860 1898 1920 1950 1968 1984 2000 2015 2048 2050 2080 2132 2190 2263 2325 2336 2400 2418 2460 2480 2496 2542 2560 2600 2624 2665 2847 2920 2976 2993 3000 3072 3075 3100 3120 3198 3200 3224 3250 3280 3328 3504 3650 3720 3796 3813 3840 3875 3900 3936 3968 4000 4030 4096 4100 4160 4264 4380 4526 4650 4672 4745 4800 4836 4875 4920 4960 4992 5084 5120 5125 5200 5248 5329 5330 5475 5694 5840 5952 5986 6000 6045 6144 6150 6200 6240 6355 6396 6400 6448 6500 6560 6656 6789 7008 7300 7440 7592 7626 7680 7750 7800 7872 7936 7995 8000 8060 8200 8320 8528 8760 8979 9052 9125 9300 9344 9490 9600 9672 9750 9840 9920 9984 10075 10168 10240 10250 10400 10496 10658 10660 10950 11315 11388 11625 11680 11904 11972 12000 12090 12288 12300 12400 12480 12710 12792 12800 12896 13000 13120 13312 13325 13578 14016 14235 14600 14880 14965 15184 15252 15360 15375 15500 15600 15744 15872 15987 15990 16000 16120 16400 16523 16640 17056 17520 17958 18104 18250 18600 18688 18980 19065 19200 19344 19500 19680 19840 19968 20150 20336 20480 20500 20800 20992 21316 21320 21900 22630 22776 23250 23360 23725 23808 23944 24000 24180 24600 24800 24960 25420 25584 25600 25792 26000 26240 26624 26645 26650 27156 27375 28032 28470 29200 29419 29760 29930 30225 30368 30504 30720 30750 31000 31200 31488 31744 31775 31974 31980 32000 32240 32800 33046 33280 33945 34112 35040 35916 36208 36500 37200 37376 37960 38130 38400 38688 38909 39000 39360 39680 39936 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167799552000 169058048640 173392870400 174511534080 176102134000 180328585216 181782848000 185269094400 206168352000 208071444480 211322560800 216741088000 218139417600 219912908800 225410731520 231586368000 253745664000 260089305600 264153201000 270492877824 272674272000 274891136000 281763414400 290852556800 308781824000 325111632000 329869363200 335599104000 338116097280 346785740800 352204268000 360657170432 363565696000 370538188800 412336704000 416142888960 422645121600 433482176000 436278835200 450821463040 463172736000 520178611200 528306402000 540985755648 545348544000 549782272000 563526828800 617563648000 650223264000 659738726400 676232194560 693571481600 704408536000 727131392000 824673408000 845290243200 866964352000 872557670400 901642926080 926345472000 1040357222400 1056612804000 1081971511296 1090697088000 1099564544000 1127053657600 1300446528000 1352464389120 1408817072000 1454262784000 1649346816000 1690580486400 1733928704000 1803285852160 1852690944000 2080714444800 2113225608000 2181394176000 2254107315200 2600893056000 2704928778240 2817634144000 3298693632000 3381160972800 3467857408000 4226451216000 4362788352000 4508214630400 5201786112000 5409857556480 5635268288000 6762321945600 8452902432000 9016429260800 10403572224000 11270536576000 13524643891200 16905804864000 22541073152000 27049287782400 33811609728000 45082146304000 67623219456000 135246438912000
- Sum of all divisors σ(n): 519617522092032
- Sum of proper divisors (its aliquot sum) s(n): 384371083180032
- 135246438912000 is an abundant number, because the sum of its proper divisors (384371083180032) is greater than itself. Its abundance is 249124644268032
Bases of 135246438912000
- Binary: 111101100000001100000111111001011010000000000002
- Hexadecimal: 0x7B0183F2D000
- Base-36: 1BXVCTRO5C
Squares and roots of 135246438912000
- 135246438912000 squared (1352464389120002) is 18291599238377347743744000000
- 135246438912000 cubed (1352464389120003) is 2473873658995987687628853926166528000000000
-
The
square root of 135246438912000 is 11629550.2454738119 -
The
cube root of 135246438912000 is 51330.4745818273
Scales and comparisons
How big is 135246438912000?- 135,246,438,912,000 seconds is equal to 4,300,418 years, 21 weeks, 3 days, 5 hours, 20 minutes.
-
To count from 1 to 135,246,438,912,000 would take you about ten million, seven hundred fifty-one thousand and forty-six 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 135246438912000 cubic inches would be around 4277.5 feet tall.
Recreational maths with 135246438912000
- 135246438912000 backwards is 000219834642531
- 135246438912000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 135246438912000's digits is 48
- More coming soon!
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The information we have on file for 135246438912000 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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