135144416000
135,144,416,000 is an even composite number composed of five prime numbers multiplied together.
135144416000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 135144416000:
28 × 53 × 113 × 19 × 167
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 11 × 11 × 11 × 19 × 167)See below for interesting mathematical facts about the number 135144416000 from the Numbermatics database.
Names of 135144416000
- Cardinal: 135144416000 can be written as One hundred thirty-five billion, one hundred forty-four million, four hundred sixteen thousand.
Scientific notation
- Scientific notation: 1.35144416 × 1011
Factors of 135144416000
Divisors of 135144416000
- Number of divisors d(n): 576
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Complete list of divisors:
1 2 4 5 8 10 11 16 19 20 22 25 32 38 40 44 50 55 64 76 80 88 95 100 110 121 125 128 152 160 167 176 190 200 209 220 242 250 256 275 304 320 334 352 380 400 418 440 475 484 500 550 605 608 640 668 704 760 800 835 836 880 950 968 1000 1045 1100 1210 1216 1280 1331 1336 1375 1408 1520 1600 1670 1672 1760 1837 1900 1936 2000 2090 2200 2299 2375 2420 2432 2662 2672 2750 2816 3025 3040 3173 3200 3340 3344 3520 3674 3800 3872 4000 4175 4180 4400 4598 4750 4840 4864 5225 5324 5344 5500 6050 6080 6346 6400 6655 6680 6688 7040 7348 7600 7744 8000 8350 8360 8800 9185 9196 9500 9680 10450 10648 10688 11000 11495 12100 12160 12692 13310 13360 13376 14080 14696 15125 15200 15488 15865 16000 16700 16720 17600 18370 18392 19000 19360 20207 20875 20900 21296 21376 22000 22990 24200 24320 25289 25384 26125 26620 26720 26752 29392 30250 30400 30976 31730 32000 33275 33400 33440 34903 35200 36740 36784 38000 38720 40414 41750 41800 42592 42752 44000 45925 45980 48400 50578 50768 52250 53240 53440 53504 57475 58784 60500 60800 63460 66550 66800 66880 69806 70400 73480 73568 76000 77440 79325 80828 83500 83600 85184 88000 91850 91960 96800 101035 101156 101536 104500 106480 106880 114950 117568 121000 121600 126445 126920 133100 133600 133760 139612 146960 147136 152000 154880 158650 161656 166375 167000 167200 170368 174515 176000 183700 183920 193600 202070 202312 203072 209000 212960 213760 222277 229625 229900 235136 242000 252890 253840 266200 267200 267520 279224 287375 293920 294272 304000 317300 323312 332750 334000 334400 340736 349030 352000 367400 367840 383933 387200 396625 404140 404624 406144 418000 425920 444554 459250 459800 470272 484000 505175 505780 507680 532400 534400 558448 574750 587840 588544 608000 632225 634600 646624 665500 668000 668800 698060 734800 735680 767866 774400 793250 808280 809248 812288 836000 851840 872575 889108 918500 919600 968000 1010350 1011560 1015360 1064800 1068800 1111385 1116896 1149500 1175680 1264450 1269200 1293248 1331000 1336000 1337600 1396120 1469600 1471360 1535732 1586500 1616560 1618496 1672000 1703680 1745150 1778216 1837000 1839200 1919665 1936000 2020700 2023120 2030720 2129600 2222770 2233792 2299000 2351360 2525875 2528900 2538400 2586496 2662000 2672000 2792240 2939200 2942720 3071464 3161125 3173000 3233120 3236992 3344000 3490300 3556432 3674000 3678400 3839330 3872000 4041400 4046240 4061440 4223263 4259200 4362875 4445540 4467584 4598000 5051750 5057800 5076800 5172992 5324000 5344000 5556925 5584480 5878400 6142928 6322250 6346000 6466240 6473984 6688000 6980600 7112864 7348000 7356800 7678660 8082800 8092480 8446526 8518400 8725750 8891080 8935168 9196000 9598325 10103500 10115600 10153600 10648000 11113850 11168960 11756800 12285856 12644500 12692000 12932480 13961200 14225728 14696000 14713600 15357320 16165600 16184960 16893052 17451500 17782160 18392000 19196650 20207000 20231200 20307200 21116315 21296000 22227700 22337920 24571712 25289000 25384000 25864960 27784625 27922400 28451456 29392000 30714640 32331200 32369920 33786104 34903000 35564320 36784000 38393300 40414000 40462400 42232630 42592000 44455400 44675840 47991625 49143424 50578000 50768000 55569250 55844800 56902912 58784000 61429280 64662400 67572208 69806000 71128640 73568000 76786600 80828000 80924800 84465260 88910800 95983250 98286848 101156000 101536000 105581575 111138500 111689600 122858560 129324800 135144416 139612000 142257280 153573200 161656000 161849600 168930520 177821600 191966500 202312000 211163150 222277000 223379200 245717120 270288832 279224000 284514560 307146400 323312000 337861040 355643200 383933000 404624000 422326300 444554000 491434240 527907875 540577664 558448000 614292800 646624000 675722080 711286400 767866000 809248000 844652600 889108000 1055815750 1081155328 1116896000 1228585600 1351444160 1422572800 1535732000 1689305200 1778216000 2111631500 2457171200 2702888320 3071464000 3378610400 3556432000 4223263000 5405776640 6142928000 6757220800 7112864000 8446526000 12285856000 13514441600 16893052000 27028883200 33786104000 67572208000 135144416000
- Sum of all divisors σ(n): 392126192640
- Sum of proper divisors (its aliquot sum) s(n): 256981776640
- 135144416000 is an abundant number, because the sum of its proper divisors (256981776640) is greater than itself. Its abundance is 121837360640
Bases of 135144416000
- Binary: 11111011101110011110000100011000000002
- Hexadecimal: 0x1F773C2300
- Base-36: 1Q31HURK
Squares and roots of 135144416000
- 135144416000 squared (1351444160002) is 18264013175981056000000
- 135144416000 cubed (1351444160003) is 2468279394484265040183296000000000
-
The
square root of 135144416000 is 367619.9341711491 -
The
cube root of 135144416000 is 5131.7564317431
Scales and comparisons
How big is 135144416000?- 135,144,416,000 seconds is equal to 4,297 years, 9 weeks, 11 hours, 33 minutes, 20 seconds.
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To count from 1 to 135,144,416,000 would take you about eight 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 135144416000 cubic inches would be around 427.6 feet tall.
Recreational maths with 135144416000
- 135144416000 backwards is 000614441531
- The number of decimal digits it has is: 12
- The sum of 135144416000's digits is 29
- More coming soon!
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