134288648928000
134,288,648,928,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 134288648928000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 3456 divisors.
134288648928000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, four hundred fifty-six divisors.
Prime factorization of 134288648928000:
28 × 33 × 53 × 73 × 372 × 331
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 7 × 37 × 37 × 331)See below for interesting mathematical facts about the number 134288648928000 from the Numbermatics database.
Names of 134288648928000
- Cardinal: 134288648928000 can be written as One hundred thirty-four trillion, two hundred eighty-eight billion, six hundred forty-eight million, nine hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.34288648928 × 1014
Factors of 134288648928000
Divisors of 134288648928000
- Number of divisors d(n): 3456
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 37 40 42 45 48 49 50 54 56 60 63 64 70 72 74 75 80 84 90 96 98 100 105 108 111 112 120 125 126 128 135 140 144 147 148 150 160 168 175 180 185 189 192 196 200 210 216 222 224 225 240 245 250 252 256 259 270 280 288 294 296 300 315 320 331 333 336 343 350 360 370 375 378 384 392 400 420 432 441 444 448 450 480 490 500 504 518 525 540 555 560 576 588 592 600 630 640 662 666 672 675 686 700 720 735 740 750 756 768 777 784 800 840 864 875 882 888 896 900 925 945 960 980 993 999 1000 1008 1029 1036 1050 1080 1110 1120 1125 1152 1176 1184 1200 1225 1260 1280 1295 1323 1324 1332 1344 1350 1369 1372 1400 1440 1470 1480 1500 1512 1554 1568 1575 1600 1655 1665 1680 1715 1728 1750 1764 1776 1792 1800 1813 1850 1890 1920 1960 1986 1998 2000 2016 2058 2072 2100 2160 2205 2220 2240 2250 2304 2317 2331 2352 2368 2400 2450 2520 2590 2625 2646 2648 2664 2688 2700 2738 2744 2775 2800 2880 2940 2960 2979 3000 3024 3087 3108 3136 3150 3200 3310 3330 3360 3375 3430 3456 3500 3528 3552 3600 3626 3675 3700 3780 3840 3885 3920 3972 3996 4000 4032 4107 4116 4144 4200 4320 4410 4440 4480 4500 4625 4634 4662 4704 4725 4736 4800 4900 4965 4995 5040 5145 5180 5250 5292 5296 5328 5376 5400 5439 5476 5488 5550 5600 5760 5880 5920 5958 6000 6048 6125 6174 6216 6272 6300 6400 6475 6615 6620 6660 6720 6750 6845 6860 6912 6951 6993 7000 7056 7104 7200 7252 7350 7400 7560 7770 7840 7875 7944 7992 8000 8064 8214 8232 8275 8288 8325 8400 8575 8640 8820 8880 8937 8960 9000 9065 9250 9261 9268 9324 9408 9450 9472 9583 9600 9800 9930 9990 10080 10290 10360 10500 10584 10592 10656 10800 10878 10952 10976 11025 11100 11200 11520 11585 11655 11760 11840 11916 12000 12096 12247 12250 12321 12348 12432 12544 12600 12691 12950 13230 13240 13320 13440 13500 13690 13720 13875 13902 13986 14000 14112 14208 14400 14504 14700 14800 14895 15120 15435 15540 15680 15750 15888 15984 16000 16128 16219 16317 16428 16464 16550 16576 16650 16800 17150 17280 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67617648000 68514616800 69942004650 71052195200 72588458880 74069856000 74604804960 74937862125 75612978000 76127352000 76736370816 77713338500 78302419200 79933719600 80653843200 81141177600 83930405580 85262634240 85643271000 86414832000 88815244000 89525765952 90735573600 91352822400 93256006200 95920463520 97878024000 98092512000 99473073280 99917149500 100817304000 101426472000 101503136000 103697798400 104913006975 106578292800 109623386880 111907207440 113419467000 114191028000 116570007750 119367687936 119900579400 120980764800 124341341600 127893951360 129622248000 130504032000 133222866000 134288648928 134423072000 135235296000 137029233600 139884009300 142104390400 145176917760 149209609920 149875724250 151225956000 152254704000 153472741632 155426677000 159867439200 167860811160 171286542000 172829664000 174855011625 177630488000 179051531904 181471147200 182705644800 186512012400 191840927040 195756048000 198946146560 199834299000 201634608000 202852944000 209826013950 213156585600 223814414880 226838934000 228382056000 233140015500 239801158800 241961529600 248682683200 255787902720 259244496000 266445732000 268577297856 274058467200 279768018600 298419219840 299751448500 302451912000 304509408000 310853354000 319734878400 335721622320 342573084000 349710023250 355260976000 358103063808 362942294400 373024024800 383681854080 391512096000 399668598000 403269216000 405705888000 419652027900 426313171200 447628829760 453677868000 456764112000 466280031000 479602317600 497365366400 518488992000 524565034875 532891464000 537154595712 548116934400 559536037200 596838439680 599502897000 604903824000 621706708000 639469756800 671443244640 685146168000 699420046500 710521952000 725884588800 746048049600 767363708160 799337196000 839304055800 895257659520 907355736000 913528224000 932560062000 959204635200 994730732800 1049130069750 1065782928000 1074309191424 1119072074400 1199005794000 1209807648000 1243413416000 1278939513600 1342886489280 1370292336000 1398840093000 1492096099200 1598674392000 1678608111600 1790515319040 1814711472000 1865120124000 1918409270400 2098260139500 2131565856000 2238144148800 2398011588000 2486826832000 2685772978560 2740584672000 2797680186000 2984192198400 3197348784000 3357216223200 3629422944000 3730240248000 3836818540800 4196520279000 4476288297600 4796023176000 4973653664000 5371545957120 5595360372000 6394697568000 6714432446400 7460480496000 8393040558000 8952576595200 9592046352000 11190720744000 13428864892800 14920960992000 16786081116000 19184092704000 22381441488000 26857729785600 33572162232000 44762882976000 67144324464000 134288648928000
- Sum of all divisors σ(n): 595796108544000
- Sum of proper divisors (its aliquot sum) s(n): 461507459616000
- 134288648928000 is an abundant number, because the sum of its proper divisors (461507459616000) is greater than itself. Its abundance is 327218810688000
Bases of 134288648928000
- Binary: 111101000100010100000110011011101111011000000002
- Hexadecimal: 0x7A2283377B00
- Base-36: 1BLNCQCAO0
Squares and roots of 134288648928000
- 134288648928000 squared (1342886489280002) is 18033441230907635549184000000
- 134288648928000 cubed (1342886489280003) is 2421686458421075653058942652874752000000000
-
The
square root of 134288648928000 is 11588297.9305849743 -
The
cube root of 134288648928000 is 51209.0164744157
Scales and comparisons
How big is 134288648928000?- 134,288,648,928,000 seconds is equal to 4,269,963 years, 34 weeks.
-
To count from 1 to 134,288,648,928,000 would take you about ten million, six hundred seventy-four thousand, nine hundred nine 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 134288648928000 cubic inches would be around 4267.4 feet tall.
Recreational maths with 134288648928000
- 134288648928000 backwards is 000829846882431
- 134288648928000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 134288648928000's digits is 63
- More coming soon!
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"Number 134288648928000 - Facts about the integer". Numbermatics.com. 2024. Web. 6 June 2024.
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Numbermatics. (2024). Number 134288648928000 - Facts about the integer. Retrieved 6 June 2024, from https://numbermatics.com/n/134288648928000/
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The information we have on file for 134288648928000 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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