135117906739200
135,117,906,739,200 is an even composite number composed of six prime numbers multiplied together.
135117906739200 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 135117906739200:
215 × 32 × 52 × 72 × 113 × 281
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 7 × 11 × 11 × 11 × 281)See below for interesting mathematical facts about the number 135117906739200 from the Numbermatics database.
Names of 135117906739200
- Cardinal: 135117906739200 can be written as One hundred thirty-five trillion, one hundred seventeen billion, nine hundred six million, seven hundred thirty-nine thousand, two hundred.
Scientific notation
- Scientific notation: 1.351179067392 × 1014
Factors of 135117906739200
Divisors of 135117906739200
- Number of divisors d(n): 3456
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 25 28 30 32 33 35 36 40 42 44 45 48 49 50 55 56 60 63 64 66 70 72 75 77 80 84 88 90 96 98 99 100 105 110 112 120 121 126 128 132 140 144 147 150 154 160 165 168 175 176 180 192 196 198 200 210 220 224 225 231 240 242 245 252 256 264 275 280 281 288 294 300 308 315 320 330 336 350 352 360 363 384 385 392 396 400 420 440 441 448 450 462 480 484 490 495 504 512 525 528 539 550 560 562 576 588 600 605 616 630 640 660 672 693 700 704 720 726 735 768 770 784 792 800 825 840 843 847 880 882 896 900 924 960 968 980 990 1008 1024 1050 1056 1078 1089 1100 1120 1124 1152 1155 1176 1200 1210 1225 1232 1260 1280 1320 1331 1344 1386 1400 1405 1408 1440 1452 1470 1536 1540 1568 1575 1584 1600 1617 1650 1680 1686 1694 1760 1764 1792 1800 1815 1848 1920 1925 1936 1960 1967 1980 2016 2048 2100 2112 2156 2178 2200 2205 2240 2248 2304 2310 2352 2400 2420 2450 2464 2475 2520 2529 2541 2560 2640 2662 2688 2695 2772 2800 2810 2816 2880 2904 2940 3025 3072 3080 3091 3136 3150 3168 3200 3234 3300 3360 3372 3388 3465 3520 3528 3584 3600 3630 3675 3696 3840 3850 3872 3920 3934 3960 3993 4032 4096 4200 4215 4224 4235 4312 4356 4400 4410 4480 4496 4608 4620 4704 4800 4840 4851 4900 4928 4950 5040 5058 5082 5120 5280 5324 5376 5390 5445 5544 5600 5620 5632 5760 5775 5808 5880 5901 5929 6050 6144 6160 6182 6272 6300 6336 6400 6468 6600 6655 6720 6744 6776 6930 7025 7040 7056 7168 7200 7260 7350 7392 7623 7680 7700 7744 7840 7868 7920 7986 8064 8085 8192 8400 8430 8448 8470 8624 8712 8800 8820 8960 8992 9075 9216 9240 9273 9317 9408 9600 9680 9702 9800 9835 9856 9900 10080 10116 10164 10240 10560 10648 10752 10780 10890 11025 11088 11200 11240 11264 11520 11550 11616 11760 11802 11858 11979 12100 12288 12320 12364 12544 12600 12645 12672 12705 12800 12936 13200 13310 13440 13475 13488 13552 13769 13860 14050 14080 14112 14336 14400 14520 14700 14784 15246 15360 15400 15455 15488 15680 15736 15840 15972 16128 16170 16384 16800 16860 16896 16940 17248 17325 17424 17600 17640 17703 17787 17920 17984 18150 18432 18480 18546 18634 18816 19200 19360 19404 19600 19670 19712 19800 19965 20160 20232 20328 20480 21075 21120 21175 21296 21504 21560 21637 21780 22050 22176 22400 22480 22528 23040 23100 23232 23520 23604 23716 23958 24200 24255 24576 24640 24728 25088 25200 25290 25344 25410 25600 25872 26400 26620 26880 26950 26976 27104 27225 27538 27720 27819 27951 28100 28160 28224 28672 28800 29040 29400 29505 29568 29645 30492 30720 30800 30910 30976 31360 31472 31680 31944 32256 32340 32768 33275 33600 33720 33792 33880 34001 34496 34650 34848 35200 35280 35406 35574 35840 35968 36300 36864 36960 37092 37268 37632 38115 38400 38720 38808 39200 39340 39424 39600 39930 40320 40425 40464 40656 40960 41307 42150 42240 42350 42592 43008 43120 43274 43560 44100 44352 44800 44960 45056 46080 46200 46365 46464 46585 47040 47208 47432 47916 48400 48510 49152 49175 49280 49456 50176 50400 50580 50688 50820 51200 51744 52800 53240 53361 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255905126400 257367441408 263902161600 268091084800 272965468160 275750830080 279169228800 281495639040 292463001600 300262014976 301602470400 306389811200 307086151680 321709301760 337794766848 341206835200 344688537600 350955601920 351869548800 372225638400 375327518720 383857689600 386051162112 402136627200 409448202240 422243458560 428945735680 438694502400 450393022464 459584716800 469159398400 480846643200 482563952640 491337842688 511810252800 527804323200 536182169600 551501660160 558338457600 562991278080 584926003200 600524029952 603204940800 614172303360 643418603520 675589533696 682413670400 689377075200 703739097600 750655037440 767715379200 772102324224 804273254400 818896404480 844486917120 877389004800 900786044928 919169433600 938318796800 965127905280 1023620505600 1055608646400 1072364339200 1116676915200 1125982556160 1206409881600 1228344606720 1286837207040 1351179067392 1364827340800 1378754150400 1407478195200 1501310074880 1535430758400 1608546508800 1688973834240 1754778009600 1801572089856 1876637593600 1930255810560 2047241011200 2111217292800 2144728678400 2251965112320 2412819763200 2456689213440 2702358134784 2757508300800 2814956390400 3002620149760 3070861516800 3217093017600 3377947668480 3753275187200 3860511621120 4094482022400 4222434585600 4503930224640 4825639526400 5404716269568 5629912780800 6141723033600 6434186035200 6755895336960 7506550374400 8444869171200 9007860449280 9651279052800 11259825561600 12283446067200 13511790673920 15013100748800 16889738342400 19302558105600 22519651123200 27023581347840 33779476684800 45039302246400 67558953369600 135117906739200
- Sum of all divisors σ(n): 621503230823280
- Sum of proper divisors (its aliquot sum) s(n): 486385324084080
- 135117906739200 is an abundant number, because the sum of its proper divisors (486385324084080) is greater than itself. Its abundance is 351267417344880
Bases of 135117906739200
- Binary: 111101011100011100101101101010110000000000000002
- Hexadecimal: 0x7AE396D58000
- Base-36: 1BW8B514W0
Squares and roots of 135117906739200
- 135117906739200 squared (1351179067392002) is 18256848721583148776816640000
- 135117906739200 cubed (1351179067392003) is 2466827182914554642604189318578700288000000
-
The
square root of 135117906739200 is 11624022.8294338789 -
The
cube root of 135117906739200 is 51314.2086980745
Scales and comparisons
How big is 135117906739200?- 135,117,906,739,200 seconds is equal to 4,296,331 years, 25 weeks, 2 days, 8 hours.
-
To count from 1 to 135,117,906,739,200 would take you about ten million, seven hundred forty thousand, eight hundred twenty-eight 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 135117906739200 cubic inches would be around 4276.2 feet tall.
Recreational maths with 135117906739200
- 135117906739200 backwards is 002937609711531
- The number of decimal digits it has is: 15
- The sum of 135117906739200's digits is 54
- More coming soon!
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Cite this page
MLA style:
"Number 135117906739200 - Facts about the integer". Numbermatics.com. 2024. Web. 25 May 2024.
APA style:
Numbermatics. (2024). Number 135117906739200 - Facts about the integer. Retrieved 25 May 2024, from https://numbermatics.com/n/135117906739200/
Chicago style:
Numbermatics. 2024. "Number 135117906739200 - Facts about the integer". https://numbermatics.com/n/135117906739200/
The information we have on file for 135117906739200 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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