135806438040
135,806,438,040 is an even composite number composed of eight prime numbers multiplied together.
135806438040 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 135806438040:
23 × 3 × 5 × 72 × 13 × 31 × 223 × 257
(2 × 2 × 2 × 3 × 5 × 7 × 7 × 13 × 31 × 223 × 257)See below for interesting mathematical facts about the number 135806438040 from the Numbermatics database.
Names of 135806438040
- Cardinal: 135806438040 can be written as One hundred thirty-five billion, eight hundred six million, four hundred thirty-eight thousand and forty.
Scientific notation
- Scientific notation: 1.3580643804 × 1011
Factors of 135806438040
Divisors of 135806438040
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 20 21 24 26 28 30 31 35 39 40 42 49 52 56 60 62 65 70 78 84 91 93 98 104 105 120 124 130 140 147 155 156 168 182 186 195 196 210 217 223 245 248 257 260 273 280 294 310 312 364 372 390 392 403 420 434 446 455 465 490 514 520 546 588 620 637 651 669 728 735 744 771 780 806 840 868 892 910 930 980 1028 1085 1092 1115 1176 1209 1240 1274 1285 1302 1338 1365 1470 1519 1542 1560 1561 1612 1736 1784 1799 1820 1860 1911 1960 2015 2056 2170 2184 2230 2418 2548 2570 2604 2676 2730 2821 2899 2940 3038 3084 3122 3185 3224 3255 3341 3345 3598 3640 3720 3822 3855 4030 4340 4460 4557 4683 4836 5096 5140 5208 5352 5397 5460 5642 5798 5880 6045 6076 6168 6244 6370 6510 6682 6690 6913 7196 7595 7644 7710 7805 7967 8060 8463 8680 8697 8920 8995 9114 9366 9555 9672 10023 10280 10794 10920 10927 11284 11596 12090 12152 12488 12593 12740 13020 13364 13380 13826 14105 14392 14495 15190 15288 15420 15610 15934 16120 16705 16926 17394 17990 18228 18732 19110 19747 20046 20293 20739 21588 21854 22568 22785 23192 23387 23415 23901 24180 25186 25480 26040 26728 26760 26985 27652 28210 28990 30380 30840 31220 31868 32781 33410 33852 34565 34788 35980 36456 37464 37779 38220 39494 39835 40092 40586 41478 42315 43176 43485 43708 45570 46774 46830 47802 48360 48391 50115 50372 53970 54635 55304 55769 56420 57311 57980 59241 60760 60879 62440 62965 63736 65562 66820 67704 69130 69576 70161 71960 75558 76440 78988 79670 80184 81172 82956 84630 86970 87416 89869 91140 93548 93660 95604 96782 98735 100230 100744 101465 103571 103695 107940 109270 111538 112840 114622 115960 116935 118482 119505 121758 125930 131124 133640 138260 140322 142051 145173 151116 157976 159340 162344 163709 163905 165912 167307 169260 171933 173940 179738 182280 187096 187320 188895 191208 193564 197470 200460 202930 207142 207390 215880 218540 223076 229244 233870 236964 239010 241955 243516 251860 262248 269607 276520 278845 280644 284102 286555 290346 296205 302232 304395 310713 318680 327418 327810 334614 338520 338737 343866 347880 350805 359476 377790 387128 390383 394940 400920 401177 405860 414284 414780 426153 437080 446152 449345 458488 467740 473928 478020 483910 487032 491127 503720 517855 539214 557690 561288 568204 573110 580692 592410 608790 621426 629083 654836 655620 669228 677474 687732 701610 710255 718952 724997 725865 745043 755580 780766 789880 802354 811720 818545 828568 829560 836535 852306 859665 898690 935480 956040 967820 982254 1016211 1035710 1078428 1115380 1136408 1146220 1161384 1171149 1184820 1203531 1217580 1242852 1258166 1309672 1311240 1338456 1348035 1354948 1375464 1403220 1420510 1449994 1451730 1490086 1511160 1553565 1561532 1604708 1637090 1673070 1693685 1704612 1719330 1776641 1797380 1887249 1935640 1951915 1964508 2005885 2032422 2071420 2130765 2156856 2174991 2230760 2235129 2292440 2342298 2369640 2407062 2435160 2455635 2485704 2516332 2696070 2709896 2806440 2808239 2841020 2899988 2903460 2980172 3107130 3123064 3145415 3209416 3274180 3346140 3387370 3409224 3438660 3553282 3594760 3624985 3725215 3774498 3903830 3929016 4011770 4064844 4142840 4261530 4349982 4403581 4470258 4684596 4814124 4911270 5032664 5074979 5081055 5215301 5329923 5392140 5616478 5682040 5799976 5806920 5855745 5960344 6017655 6214260 6290830 6548360 6692280 6774740 6877320 7106564 7249970 7450430 7548996 7807660 8023540 8129688 8424717 8523060 8699964 8807162 8883205 8940516 9369192 9436245 9628248 9822540 10149958 10162110 10430602 10659846 10784280 10874955 11175645 11232956 11711490 12035310 12428520 12436487 12581660 13210743 13549480 14041195 14213128 14499940 14900860 15097992 15224937 15615320 15645903 16047080 16849434 17046120 17399928 17614324 17766410 17881032 18872490 19645080 20299916 20324220 20861204 21319692 21749910 22017905 22351290 22465912 23096333 23422980 24070620 24872974 25163320 25374895 26076505 26421486 26649615 28082390 28999880 29801720 30449874 31291806 33698868 35228648 35532820 36507107 37309461 37744980 40599832 40648440 41722408 42123585 42639384 43499820 44035810 44702580 46192666 46845960 48141240 49745948 50749790 52153010 52842972 53299230 56164780 60899748 62182435 62583612 66053715 67397736 69288999 71065640 73014214 74618922 75489960 76124685 78229515 84247170 86999640 87055409 88071620 89405160 92385332 99491896 101499580 104306020 105685944 106598460 109521321 112329560 115481665 121799496 124364870 125167224 132107430 138577998 146028428 149237844 152249370 156459030 161674331 168494340 174110818 176143240 182535535 184770664 186547305 202999160 208612040 213196920 219042642 230963330 248729740 261166227 264214860 277155996 292056856 298475688 304498740 312918060 323348662 336988680 346444995 348221636 365071070 373094610 435277045 438085284 461926660 485022993 497459480 522332454 528429720 547606605 554311992 608997480 625836120 646697324 692889990 696443272 730142140 746189220 808371655 870554090 876170568 923853320 970045986 1044664908 1095213210 1131720317 1293394648 1305831135 1385779980 1460284280 1492378440 1616743310 1741108180 1940091972 2089329816 2190426420 2263440634 2425114965 2611662270 2771559960 3233486620 3395160951 3482216360 3880183944 4380852840 4526881268 4850229930 5223324540 5658601585 6466973240 6790321902 9053762536 9700459860 10446649080 11317203170 13580643804 16975804755 19400919720 22634406340 27161287608 33951609510 45268812680 67903219020 135806438040
- Sum of all divisors σ(n): 531279544320
- Sum of proper divisors (its aliquot sum) s(n): 395473106280
- 135806438040 is an abundant number, because the sum of its proper divisors (395473106280) is greater than itself. Its abundance is 259666668240
Bases of 135806438040
- Binary: 11111100111101011000111001010100110002
- Hexadecimal: 0x1F9EB1CA98
- Base-36: 1QDZNA8O
Squares and roots of 135806438040
- 135806438040 squared (1358064380402) is 18443388613112359041600
- 135806438040 cubed (1358064380403) is 2504730912934285119741284182464000
-
The
square root of 135806438040 is 368519.2505690851 -
The
cube root of 135806438040 is 5140.1223057797
Scales and comparisons
How big is 135806438040?- 135,806,438,040 seconds is equal to 4,318 years, 11 weeks, 4 days, 18 hours, 34 minutes.
-
To count from 1 to 135,806,438,040 would take you about eight thousand, six hundred thirty-six 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 135806438040 cubic inches would be around 428.3 feet tall.
Recreational maths with 135806438040
- 135806438040 backwards is 040834608531
- 135806438040 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 135806438040's digits is 42
- More coming soon!
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