134217688320
134,217,688,320 is an even composite number composed of six prime numbers multiplied together.
134217688320 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 134217688320:
28 × 32 × 5 × 79 × 139 × 1061
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 79 × 139 × 1061)See below for interesting mathematical facts about the number 134217688320 from the Numbermatics database.
Names of 134217688320
- Cardinal: 134217688320 can be written as One hundred thirty-four billion, two hundred seventeen million, six hundred eighty-eight thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.3421768832 × 1011
Factors of 134217688320
Divisors of 134217688320
- Number of divisors d(n): 432
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 79 80 90 96 120 128 139 144 158 160 180 192 237 240 256 278 288 316 320 360 384 395 417 474 480 556 576 632 640 695 711 720 768 790 834 948 960 1061 1112 1152 1185 1251 1264 1280 1390 1422 1440 1580 1668 1896 1920 2085 2122 2224 2304 2370 2502 2528 2780 2844 2880 3160 3183 3336 3555 3792 3840 4170 4244 4448 4740 5004 5056 5305 5560 5688 5760 6255 6320 6366 6672 7110 7584 8340 8488 8896 9480 9549 10008 10112 10610 10981 11120 11376 11520 12510 12640 12732 13344 14220 15168 15915 16680 16976 17792 18960 19098 20016 20224 21220 21962 22240 22752 25020 25280 25464 26688 28440 30336 31830 32943 33360 33952 35584 37920 38196 40032 42440 43924 44480 45504 47745 50040 50560 50928 53376 54905 56880 60672 63660 65886 66720 67904 75840 76392 80064 83819 84880 87848 88960 91008 95490 98829 100080 101120 101856 106752 109810 113760 127320 131772 133440 135808 147479 151680 152784 160128 164715 167638 169760 175696 177920 182016 190980 197658 200160 203712 219620 227520 251457 254640 263544 266880 271616 294958 303360 305568 320256 329430 335276 339520 351392 381960 395316 400320 407424 419095 439240 442437 455040 494145 502914 509280 527088 533760 589916 611136 658860 670552 679040 702784 737395 754371 763920 790632 800640 814848 838190 878480 884874 910080 988290 1005828 1018560 1054176 1179832 1222272 1257285 1317720 1327311 1341104 1358080 1405568 1474790 1508742 1527840 1581264 1601280 1676380 1756960 1769748 1976580 2011656 2037120 2108352 2212185 2359664 2444544 2514570 2635440 2654622 2682208 2811136 2949580 3017484 3055680 3162528 3352760 3513920 3539496 3771855 3953160 4023312 4074240 4216704 4424370 4719328 5029140 5270880 5309244 5364416 5899160 6034968 6111360 6325056 6636555 6705520 7027840 7078992 7543710 7906320 8046624 8433408 8848740 9438656 10058280 10541760 10618488 10728832 11650841 11798320 12069936 12222720 12650112 13273110 13411040 14055680 14157984 15087420 15812640 16093248 17697480 18877312 20116560 21083520 21236976 21457664 23301682 23596640 24139872 25300224 26546220 26822080 28315968 30174840 31625280 32186496 34952523 35394960 37754624 40233120 42167040 42473952 46603364 47193280 48279744 53092440 53644160 56631936 58254205 60349680 63250560 64372992 69905046 70789920 80466240 84947904 93206728 94386560 96559488 104857569 106184880 107288320 113263872 116508410 120699360 126501120 139810092 141579840 160932480 169895808 174762615 186413456 188773120 193118976 209715138 212369760 233016820 241398720 279620184 283159680 321864960 339791616 349525230 372826912 419430276 424739520 466033640 482797440 524287845 559240368 566319360 699050460 745653824 838860552 849479040 932067280 965594880 1048575690 1118480736 1398100920 1491307648 1677721104 1698958080 1864134560 2097151380 2236961472 2796201840 2982615296 3355442208 3728269120 4194302760 4473922944 5592403680 6710884416 7456538240 8388605520 8947845888 11184807360 13421768832 14913076480 16777211040 22369614720 26843537664 33554422080 44739229440 67108844160 134217688320
- Sum of all divisors σ(n): 474086995200
- Sum of proper divisors (its aliquot sum) s(n): 339869306880
- 134217688320 is an abundant number, because the sum of its proper divisors (339869306880) is greater than itself. Its abundance is 205651618560
Bases of 134217688320
- Binary: 11111001111111111111101100101000000002
- Hexadecimal: 0x1F3FFF6500
- Base-36: 1PNPQV40
Squares and roots of 134217688320
- 134217688320 squared (1342176883202) is 18014387857964664422400
- 134217688320 cubed (1342176883203) is 2417849494795893759019076026368000
-
The
square root of 134217688320 is 366357.3232787903 -
The
cube root of 134217688320 is 5119.9994954427
Scales and comparisons
How big is 134217688320?- 134,217,688,320 seconds is equal to 4,267 years, 36 weeks, 5 days, 11 hours, 12 minutes.
-
To count from 1 to 134,217,688,320 would take you about eight thousand, five hundred thirty-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 134217688320 cubic inches would be around 426.7 feet tall.
Recreational maths with 134217688320
- 134217688320 backwards is 023886712431
- 134217688320 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 134217688320's digits is 45
- More coming soon!
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