135137578942464000
135,137,578,942,464,000 is an even composite number composed of six prime numbers multiplied together.
135137578942464000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, eight hundred twenty-four divisors.
Prime factorization of 135137578942464000:
218 × 3 × 53 × 72 × 1613 × 17393
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 7 × 1613 × 17393)See below for interesting mathematical facts about the number 135137578942464000 from the Numbermatics database.
Names of 135137578942464000
- Cardinal: 135137578942464000 can be written as One hundred thirty-five quadrillion, one hundred thirty-seven trillion, five hundred seventy-eight billion, nine hundred forty-two million, four hundred sixty-four thousand.
Scientific notation
- Scientific notation: 1.35137578942464 × 1017
Factors of 135137578942464000
Divisors of 135137578942464000
- Number of divisors d(n): 1824
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 49 50 56 60 64 70 75 80 84 96 98 100 105 112 120 125 128 140 147 150 160 168 175 192 196 200 210 224 240 245 250 256 280 294 300 320 336 350 375 384 392 400 420 448 480 490 500 512 525 560 588 600 640 672 700 735 750 768 784 800 840 875 896 960 980 1000 1024 1050 1120 1176 1200 1225 1280 1344 1400 1470 1500 1536 1568 1600 1613 1680 1750 1792 1920 1960 2000 2048 2100 2240 2352 2400 2450 2560 2625 2688 2800 2940 3000 3072 3136 3200 3226 3360 3500 3584 3675 3840 3920 4000 4096 4200 4480 4704 4800 4839 4900 5120 5250 5376 5600 5880 6000 6125 6144 6272 6400 6452 6720 7000 7168 7350 7680 7840 8000 8065 8192 8400 8960 9408 9600 9678 9800 10240 10500 10752 11200 11291 11760 12000 12250 12288 12544 12800 12904 13440 14000 14336 14700 15360 15680 16000 16130 16384 16800 17393 17920 18375 18816 19200 19356 19600 20480 21000 21504 22400 22582 23520 24000 24195 24500 24576 25088 25600 25808 26880 28000 28672 29400 30720 31360 32000 32260 32768 33600 33873 34786 35840 36750 37632 38400 38712 39200 40325 40960 42000 43008 44800 45164 47040 48000 48390 49000 49152 50176 51200 51616 52179 53760 56000 56455 57344 58800 61440 62720 64000 64520 65536 67200 67746 69572 71680 73500 75264 76800 77424 78400 79037 80650 81920 84000 86016 86965 89600 90328 94080 96000 96780 98000 98304 100352 102400 103232 104358 107520 112000 112910 114688 117600 120975 121751 122880 125440 128000 129040 131072 134400 135492 139144 143360 147000 150528 153600 154848 156800 158074 161300 163840 168000 169365 172032 173930 179200 180656 188160 192000 193560 196000 196608 200704 201625 204800 206464 208716 215040 224000 225820 229376 235200 237111 241950 243502 245760 250880 256000 258080 260895 262144 268800 270984 278288 282275 286720 294000 301056 307200 309696 313600 316148 322600 327680 336000 338730 344064 347860 358400 361312 365253 376320 384000 387120 392000 393216 395185 401408 403250 409600 412928 417432 430080 434825 448000 451640 458752 470400 474222 483900 487004 491520 501760 512000 516160 521790 537600 541968 556576 564550 573440 588000 602112 604875 608755 614400 619392 627200 632296 645200 655360 672000 677460 688128 695720 716800 722624 730506 752640 768000 774240 784000 786432 790370 802816 806500 819200 825856 834864 846825 852257 860160 869650 896000 903280 917504 940800 948444 967800 974008 983040 1003520 1024000 1032320 1043580 1075200 1083936 1113152 1129100 1146880 1176000 1185555 1204224 1209750 1217510 1228800 1238784 1254400 1264592 1290400 1304475 1310720 1344000 1354920 1376256 1391440 1411375 1433600 1445248 1461012 1505280 1536000 1548480 1568000 1580740 1605632 1613000 1638400 1651712 1669728 1693650 1704514 1720320 1739300 1792000 1806560 1826265 1835008 1881600 1896888 1935600 1948016 1966080 1975925 2007040 2048000 2064640 2087160 2150400 2167872 2174125 2226304 2258200 2293760 2352000 2371110 2408448 2419500 2435020 2457600 2477568 2508800 2529184 2556771 2580800 2608950 2688000 2709840 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21115246709760 21546170112000 21995048656000 22063278194688 22522929823744 22982581452800 24131710525440 25137198464000 25740491227136 26394058387200 27579097743360 27926757376000 28153662279680 28728226816000 30164638156800 32175614033920 32992572984000 33784394735616 34473872179200 35192077849600 36772130324480 37705797696000 38610736840704 40219517542400 41890136064000 42230493419520 43092340224000 43990097312000 45045859647488 45965162905600 48263421050880 50274396928000 51480982454272 52788116774400 55158195486720 56307324559360 57456453632000 60329276313600 64351228067840 65985145968000 67568789471232 68947744358400 70384155699200 75411595392000 77221473681408 80439035084800 83780272128000 84460986839040 86184680448000 87980194624000 90091719294976 91930325811200 96526842101760 100548793856000 105576233548800 110316390973440 112614649118720 114912907264000 120658552627200 128702456135680 131970291936000 135137578942464 137895488716800 140768311398400 150823190784000 154442947362816 160878070169600 168921973678080 172369360896000 175960389248000 180183438589952 183860651622400 193053684203520 201097587712000 211152467097600 225229298237440 229825814528000 241317105254400 257404912271360 263940583872000 270275157884928 275790977433600 281536622796800 301646381568000 321756140339200 337843947356160 344738721792000 351920778496000 360366877179904 386107368407040 402195175424000 422304934195200 450458596474880 459651629056000 482634210508800 527881167744000 540550315769856 551581954867200 563073245593600 603292763136000 643512280678400 675687894712320 689477443584000 703841556992000 772214736814080 804390350848000 844609868390400 900917192949760 919303258112000 965268421017600 1055762335488000 1081100631539712 1126146491187200 1206585526272000 1287024561356800 1351375789424640 1378954887168000 1407683113984000 1608780701696000 1689219736780800 1801834385899520 1930536842035200 2111524670976000 2252292982374400 2413171052544000 2702751578849280 2757909774336000 2815366227968000 3217561403392000 3378439473561600 3861073684070400 4223049341952000 4504585964748800 4826342105088000 5405503157698560 5630732455936000 6435122806784000 6756878947123200 8446098683904000 9009171929497600 9652684210176000 11261464911872000 13513757894246400 16892197367808000 19305368420352000 22522929823744000 27027515788492800 33784394735616000 45045859647488000 67568789471232000 135137578942464000
- Sum of all divisors σ(n): 523517894190622656
- Sum of proper divisors (its aliquot sum) s(n): 388380315248158656
- 135137578942464000 is an abundant number, because the sum of its proper divisors (388380315248158656) is greater than itself. Its abundance is 253242736305694656
Bases of 135137578942464000
- Binary: 1111000000001101011101001011111001010110000000000000000002
- Hexadecimal: 0x1E01AE97CAC0000
- Base-36: 10YM9UQ1GA2O
Squares and roots of 135137578942464000
- 135137578942464000 squared (1351375789424640002) is 18262165242430689512622391296000000
- 135137578942464000 cubed (1351375789424640003) is 2467904797109299516647987749133870478393344000000000
-
The
square root of 135137578942464000 is 367610634.9692076033 -
The
cube root of 135137578942464000 is 513166.9890479323
Scales and comparisons
How big is 135137578942464000?- 135,137,578,942,464,000 seconds is equal to 4,296,957,002 years, 20 weeks, 3 days, 2 hours, 40 minutes.
-
To count from 1 to 135,137,578,942,464,000 would take you about twelve billion, eight hundred ninety million, eight hundred seventy-one thousand and seven 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 135137578942464000 cubic inches would be around 42763.9 feet tall.
Recreational maths with 135137578942464000
- 135137578942464000 backwards is 000464249875731531
- The number of decimal digits it has is: 18
- The sum of 135137578942464000's digits is 69
- More coming soon!
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Numbermatics. (2024). Number 135137578942464000 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/135137578942464000/
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