135742086144
135,742,086,144 is an even composite number composed of four prime numbers multiplied together.
135742086144 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of five hundred twenty-eight divisors.
Prime factorization of 135742086144:
210 × 37 × 72 × 1237
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 1237)See below for interesting mathematical facts about the number 135742086144 from the Numbermatics database.
Names of 135742086144
- Cardinal: 135742086144 can be written as One hundred thirty-five billion, seven hundred forty-two million, eighty-six thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 1.35742086144 × 1011
Factors of 135742086144
Divisors of 135742086144
- Number of divisors d(n): 528
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 64 72 81 84 96 98 108 112 126 128 144 147 162 168 189 192 196 216 224 243 252 256 288 294 324 336 378 384 392 432 441 448 486 504 512 567 576 588 648 672 729 756 768 784 864 882 896 972 1008 1024 1134 1152 1176 1237 1296 1323 1344 1458 1512 1536 1568 1701 1728 1764 1792 1944 2016 2187 2268 2304 2352 2474 2592 2646 2688 2916 3024 3072 3136 3402 3456 3528 3584 3711 3888 3969 4032 4374 4536 4608 4704 4948 5103 5184 5292 5376 5832 6048 6272 6804 6912 7056 7168 7422 7776 7938 8064 8659 8748 9072 9216 9408 9896 10206 10368 10584 10752 11133 11664 11907 12096 12544 13608 13824 14112 14844 15309 15552 15876 16128 17318 17496 18144 18816 19792 20412 20736 21168 21504 22266 23328 23814 24192 25088 25977 27216 27648 28224 29688 30618 31104 31752 32256 33399 34636 34992 35721 36288 37632 39584 40824 41472 42336 44532 46656 47628 48384 50176 51954 54432 56448 59376 60613 61236 62208 63504 64512 66798 69272 69984 71442 72576 75264 77931 79168 81648 82944 84672 89064 93312 95256 96768 100197 103908 107163 108864 112896 118752 121226 122472 124416 127008 133596 138544 139968 142884 145152 150528 155862 158336 163296 169344 178128 181839 186624 190512 193536 200394 207816 214326 217728 225792 233793 237504 242452 244944 248832 254016 267192 277088 279936 285768 290304 300591 311724 316672 326592 338688 356256 363678 373248 381024 400788 415632 428652 435456 451584 467586 475008 484904 489888 508032 534384 545517 554176 559872 571536 580608 601182 623448 633344 653184 677376 701379 712512 727356 746496 762048 801576 831264 857304 870912 901773 935172 950016 969808 979776 1016064 1068768 1091034 1108352 1119744 1143072 1202364 1246896 1266688 1306368 1354752 1402758 1425024 1454712 1524096 1603152 1636551 1662528 1714608 1741824 1803546 1870344 1900032 1939616 1959552 2032128 2104137 2137536 2182068 2216704 2239488 2286144 2404728 2493792 2612736 2705319 2805516 2850048 2909424 3048192 3206304 3273102 3325056 3429216 3607092 3740688 3800064 3879232 3919104 4064256 4208274 4275072 4364136 4433408 4572288 4809456 4909653 4987584 5225472 5410638 5611032 5700096 5818848 6096384 6312411 6412608 6546204 6650112 6858432 7214184 7481376 7758464 7838208 8416548 8550144 8728272 8866816 9144576 9618912 9819306 9975168 10821276 11222064 11400192 11637696 12192768 12624822 12825216 13092408 13300224 13716864 14428368 14728959 14962752 15516928 15676416 16833096 17100288 17456544 18289152 18937233 19237824 19638612 19950336 21642552 22444128 23275392 25249644 25650432 26184816 26600448 27433728 28856736 29457918 29925504 31033856 33666192 34200576 34913088 36578304 37874466 38475648 39277224 39900672 43285104 44186877 44888256 46550784 50499288 51300864 52369632 54867456 57713472 58915836 59851008 62067712 67332384 69826176 75748932 76951296 78554448 79801344 86570208 88373754 89776512 93101568 100998576 102601728 104739264 109734912 115426944 117831672 119702016 132560631 134664768 139652352 151497864 153902592 157108896 173140416 176747508 179553024 186203136 201997152 209478528 230853888 235663344 239404032 265121262 269329536 279304704 302995728 307805184 314217792 346280832 353495016 359106048 403994304 418957056 461707776 471326688 530242524 538659072 558609408 605991456 628435584 692561664 706990032 718212096 807988608 837914112 923415552 942653376 1060485048 1077318144 1211982912 1256871168 1385123328 1413980064 1615977216 1675828224 1885306752 2120970096 2154636288 2423965824 2513742336 2770246656 2827960128 3231954432 3770613504 4241940192 4847931648 5027484672 5655920256 6463908864 7541227008 8483880384 9695863296 11311840512 15082454016 16967760768 19391726592 22623681024 33935521536 45247362048 67871043072 135742086144
- Sum of all divisors σ(n): 473791414560
- Sum of proper divisors (its aliquot sum) s(n): 338049328416
- 135742086144 is an abundant number, because the sum of its proper divisors (338049328416) is greater than itself. Its abundance is 202307242272
Bases of 135742086144
- Binary: 11111100110101101101111011100000000002
- Hexadecimal: 0x1F9ADBDC00
- Base-36: 1QCXC000
Squares and roots of 135742086144
- 135742086144 squared (1357420861442) is 18425913950725116788736
- 135742086144 cubed (1357420861443) is 2501171998781260174401062760873984
-
The
square root of 135742086144 is 368431.9287792523 -
The
cube root of 135742086144 is 5139.3102949975
Scales and comparisons
How big is 135742086144?- 135,742,086,144 seconds is equal to 4,316 years, 9 weeks, 1 day, 23 hours, 2 minutes, 24 seconds.
-
To count from 1 to 135,742,086,144 would take you about eight thousand, six hundred thirty-two 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 135742086144 cubic inches would be around 428.3 feet tall.
Recreational maths with 135742086144
- 135742086144 backwards is 441680247531
- The number of decimal digits it has is: 12
- The sum of 135742086144's digits is 45
- More coming soon!
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