135399225507840
135,399,225,507,840 is an even composite number composed of six prime numbers multiplied together.
What does the number 135399225507840 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2160 divisors.
135399225507840 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 135399225507840:
214 × 35 × 5 × 72 × 127 × 1093
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 7 × 7 × 127 × 1093)See below for interesting mathematical facts about the number 135399225507840 from the Numbermatics database.
Names of 135399225507840
- Cardinal: 135399225507840 can be written as One hundred thirty-five trillion, three hundred ninety-nine billion, two hundred twenty-five million, five hundred seven thousand, eight hundred forty.
Scientific notation
- Scientific notation: 1.3539922550784 × 1014
Factors of 135399225507840
Divisors of 135399225507840
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 32 35 36 40 42 45 48 49 54 56 60 63 64 70 72 80 81 84 90 96 98 105 108 112 120 126 127 128 135 140 144 147 160 162 168 180 189 192 196 210 216 224 240 243 245 252 254 256 270 280 288 294 315 320 324 336 360 378 381 384 392 405 420 432 441 448 480 486 490 504 508 512 540 560 567 576 588 630 635 640 648 672 720 735 756 762 768 784 810 840 864 882 889 896 945 960 972 980 1008 1016 1024 1080 1093 1120 1134 1143 1152 1176 1215 1260 1270 1280 1296 1323 1344 1440 1470 1512 1524 1536 1568 1620 1680 1701 1728 1764 1778 1792 1890 1905 1920 1944 1960 2016 2032 2048 2160 2186 2205 2240 2268 2286 2304 2352 2430 2520 2540 2560 2592 2646 2667 2688 2835 2880 2940 3024 3048 3072 3136 3240 3279 3360 3402 3429 3456 3528 3556 3584 3780 3810 3840 3888 3920 3969 4032 4064 4096 4320 4372 4410 4445 4480 4536 4572 4608 4704 4860 5040 5080 5120 5184 5292 5334 5376 5465 5670 5715 5760 5880 6048 6096 6144 6223 6272 6480 6558 6615 6720 6804 6858 6912 7056 7112 7168 7560 7620 7651 7680 7776 7840 7938 8001 8064 8128 8192 8505 8640 8744 8820 8890 8960 9072 9144 9216 9408 9720 9837 10080 10160 10240 10287 10368 10584 10668 10752 10930 11340 11430 11520 11760 11907 12096 12192 12288 12446 12544 12960 13116 13230 13335 13440 13608 13716 13824 14112 14224 14336 15120 15240 15302 15360 15552 15680 15876 16002 16128 16256 16384 16395 17010 17145 17280 17488 17640 17780 17920 18144 18288 18432 18669 18816 19440 19674 19845 20160 20320 20480 20574 20736 21168 21336 21504 21860 22680 22860 22953 23040 23520 23814 24003 24192 24384 24576 24892 25088 25920 26232 26460 26670 26880 27216 27432 27648 28224 28448 28672 29511 30240 30480 30604 30720 30861 31104 31115 31360 31752 32004 32256 32512 32790 34020 34290 34560 34976 35280 35560 35840 36288 36576 36864 37338 37632 38255 38880 39348 39690 40005 40320 40640 40960 41148 41472 42336 42672 43008 43720 45360 45720 45906 46080 47040 47628 48006 48384 48768 49152 49185 49784 50176 51435 51840 52464 52920 53340 53557 53760 54432 54864 55296 56007 56448 56896 57344 59022 59535 60480 60960 61208 61440 61722 62208 62230 62720 63504 64008 64512 65024 65580 68040 68580 68859 69120 69952 70560 71120 71680 72009 72576 73152 73728 74676 75264 76510 77760 78696 79380 80010 80640 81280 81920 82296 82944 84672 85344 86016 87440 88533 90720 91440 91812 92160 93345 94080 95256 96012 96768 97536 98370 99568 100352 102870 103680 104928 105840 106680 107114 107520 108864 109728 110592 112014 112896 113792 114688 114765 118044 119070 120015 120960 121920 122416 122880 123444 124416 124460 125440 127008 128016 129024 130048 131160 136080 137160 137718 138240 138811 139904 141120 142240 143360 144018 145152 146304 147456 147555 149352 150528 153020 154305 155520 157392 158760 160020 160671 161280 162560 164592 165888 168021 169344 170688 172032 174880 177066 181440 182880 183624 184320 186690 188160 190512 192024 193536 195072 196740 199136 200704 205740 206577 207360 209856 211680 213360 214228 215040 216027 217728 219456 221184 224028 225792 227584 229530 236088 238140 240030 241920 243840 244832 245760 246888 248832 248920 250880 254016 256032 258048 260096 262320 265599 267785 272160 274320 275436 276480 277622 279808 280035 282240 284480 286720 288036 290304 292608 295110 298704 301056 306040 308610 311040 314784 317520 320040 321342 322560 325120 329184 331776 336042 338688 341376 344064 344295 349760 354132 360045 362880 365760 367248 368640 373380 376320 381024 384048 387072 390144 393480 398272 401408 411480 413154 414720 416433 419712 423360 426720 428456 430080 432054 435456 438912 442368 442665 448056 451584 455168 459060 472176 476280 480060 482013 483840 487680 489664 493776 497664 497840 501760 504063 508032 512064 516096 520192 524640 531198 535570 544320 548640 550872 552960 555244 559616 560070 564480 568960 573440 576072 580608 585216 590220 597408 602112 612080 617220 619731 622080 629568 635040 640080 642684 645120 650240 658368 663552 672084 677376 682752 688590 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10793943360 10878935040 11018817180 11105579520 11193719040 11371397120 11513539584 11753404992 11845951488 11939966976 12387852288 12592933920 12692090880 12792821760 13059338880 13162168320 13222580616 13326695424 13432462848 13764280320 13929961472 14391924480 14691756240 14807439360 14924958720 15111520704 15230509056 15351386112 15484815360 15671206656 15919955968 16528225770 16658369280 16790578560 16922787840 17057095680 17270309376 17412451840 17630107488 17696931840 17768927232 17909950464 18889400880 19038136320 19189232640 19589008320 19743252480 19899944960 20148694272 20468514816 20646420480 20894942208 21587886720 21757870080 22037634360 22211159040 22387438080 23027079168 23506809984 23691902976 23879933952 24775704576 25185867840 25384181760 25585643520 26118677760 26445161232 26653390848 26864925696 27859922944 28783848960 29383512480 29614878720 29849917440 30223041408 30461018112 30702772224 30969630720 31342413312 33056451540 33316738560 33581157120 34114191360 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153513861120 156712066560 161189554176 167159537664 172703093760 176301074880 177689272320 179099504640 184216633344 188054479872 201486942720 208949422080 211561289856 213227126784 214919405568 230270791680 235068099840 238799339520 241784331264 250739306496 264451612320 266533908480 268649256960 276324950016 278599229440 282081719808 302230414080 307027722240 313424133120 322379108352 334319075328 345406187520 352602149760 355378544640 358199009280 376108959744 402973885440 417898844160 423122579712 429838811136 460541583360 470136199680 483568662528 501478612992 528903224640 533067816960 537298513920 552649900032 557198458880 564163439616 604460828160 626848266240 644758216704 690812375040 705204299520 716398018560 752217919488 805947770880 835797688320 846245159424 921083166720 940272399360 967137325056 1002957225984 1057806449280 1066135633920 1074597027840 1128326879232 1208921656320 1253696532480 1289516433408 1381624750080 1410408599040 1504435838976 1611895541760 1671595376640 1692490318848 1880544798720 1934274650112 2115612898560 2149194055680 2256653758464 2417843312640 2507393064960 2763249500160 2820817198080 3008871677952 3223791083520 3384980637696 3761089597440 3868549300224 4231225797120 4513307516928 4835686625280 5014786129920 5641634396160 6447582167040 6769961275392 7522179194880 8462451594240 9026615033856 9671373250560 11283268792320 13539922550784 15044358389760 16924903188480 19342746501120 22566537584640 27079845101568 33849806376960 45133075169280 67699612753920 135399225507840
- Sum of all divisors σ(n): 571204292585472
- Sum of proper divisors (its aliquot sum) s(n): 435805067077632
- 135399225507840 is an abundant number, because the sum of its proper divisors (435805067077632) is greater than itself. Its abundance is 300405841569792
Bases of 135399225507840
- Binary: 111101100100101000101101011110101000000000000002
- Hexadecimal: 0x7B2516BD4000
- Base-36: 1BZTJMYO00
Squares and roots of 135399225507840
- 135399225507840 squared (1353992255078402) is 18332950268122910105901465600
- 135399225507840 cubed (1353992255078403) is 2482267267577589697247265036785160290304000
-
The
square root of 135399225507840 is 11636117.2866141221 -
The
cube root of 135399225507840 is 51349.7964881923
Scales and comparisons
How big is 135399225507840?- 135,399,225,507,840 seconds is equal to 4,305,276 years, 28 weeks, 5 days, 14 hours, 24 minutes.
-
To count from 1 to 135,399,225,507,840 would take you about ten million, seven hundred sixty-three thousand, one hundred ninety-one 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 135399225507840 cubic inches would be around 4279.1 feet tall.
Recreational maths with 135399225507840
- 135399225507840 backwards is 048705522993531
- 135399225507840 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 135399225507840's digits is 63
- More coming soon!
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The information we have on file for 135399225507840 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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