135378015360
135,378,015,360 is an even composite number composed of six prime numbers multiplied together.
135378015360 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 135378015360:
27 × 3 × 5 × 72 × 37 × 38891
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 37 × 38891)See below for interesting mathematical facts about the number 135378015360 from the Numbermatics database.
Names of 135378015360
- Cardinal: 135378015360 can be written as One hundred thirty-five billion, three hundred seventy-eight million, fifteen thousand, three hundred sixty.
Scientific notation
- Scientific notation: 1.3537801536 × 1011
Factors of 135378015360
Divisors of 135378015360
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 37 40 42 48 49 56 60 64 70 74 80 84 96 98 105 111 112 120 128 140 147 148 160 168 185 192 196 210 222 224 240 245 259 280 294 296 320 336 370 384 392 420 444 448 480 490 518 555 560 588 592 640 672 735 740 777 784 840 888 896 960 980 1036 1110 1120 1176 1184 1295 1344 1470 1480 1554 1568 1680 1776 1813 1920 1960 2072 2220 2240 2352 2368 2590 2688 2940 2960 3108 3136 3360 3552 3626 3885 3920 4144 4440 4480 4704 4736 5180 5439 5880 5920 6216 6272 6720 7104 7252 7770 7840 8288 8880 9065 9408 10360 10878 11760 11840 12432 13440 14208 14504 15540 15680 16576 17760 18130 18816 20720 21756 23520 23680 24864 27195 29008 31080 31360 33152 35520 36260 38891 41440 43512 47040 49728 54390 58016 62160 71040 72520 77782 82880 87024 94080 99456 108780 116032 116673 124320 145040 155564 165760 174048 194455 217560 232064 233346 248640 272237 290080 311128 348096 388910 435120 466692 497280 544474 580160 583365 622256 696192 777820 816711 870240 933384 1088948 1160320 1166730 1244512 1361185 1438967 1555640 1633422 1740480 1866768 1905659 2177896 2333460 2489024 2722370 2877934 3111280 3266844 3480960 3733536 3811318 4083555 4316901 4355792 4666920 4978048 5444740 5716977 5755868 6222560 6533688 7194835 7467072 7622636 8167110 8633802 8711584 9333840 9528295 10072769 10889480 11433954 11511736 12445120 13067376 14389670 14934144 15245272 16334220 17267604 17423168 18667680 19056590 20145538 21584505 21778960 22867908 23023472 24890240 26134752 28584885 28779340 30218307 30490544 32668440 34535208 34846336 37335360 38113180 40291076 43169010 43557920 45735816 46046944 50363845 52269504 57169770 57558680 60436614 60981088 65336880 69070416 70509383 74670720 76226360 80582152 86338020 87115840 91471632 92093888 100727690 104539008 114339540 115117360 120873228 121962176 130673760 138140832 141018766 151091535 152452720 161164304 172676040 174231680 182943264 184187776 201455380 211528149 228679080 230234720 241746456 243924352 261347520 276281664 282037532 302183070 304905440 322328608 345352080 352546915 365886528 402910760 423056298 457358160 460469440 483492912 522695040 552563328 564075064 604366140 609810880 644657216 690704160 705093830 731773056 805821520 846112596 914716320 920938880 966985824 1057640745 1128150128 1208732280 1219621760 1289314432 1381408320 1410187660 1611643040 1692225192 1829432640 1933971648 2115281490 2256300256 2417464560 2762816640 2820375320 3223286080 3384450384 3658865280 3867943296 4230562980 4512600512 4834929120 5640750640 6446572160 6768900768 8461125960 9025201024 9669858240 11281501280 13537801536 16922251920 19339716480 22563002560 27075603072 33844503840 45126005120 67689007680 135378015360
- Sum of all divisors σ(n): 515549240640
- Sum of proper divisors (its aliquot sum) s(n): 380171225280
- 135378015360 is an abundant number, because the sum of its proper divisors (380171225280) is greater than itself. Its abundance is 244793209920
Bases of 135378015360
- Binary: 11111100001010010100010010100100000002
- Hexadecimal: 0x1F85289480
- Base-36: 1Q6WKP6O
Squares and roots of 135378015360
- 135378015360 squared (1353780153602) is 18327207042812395929600
- 135378015360 cubed (1353780153603) is 2481100916547756713755790278656000
-
The
square root of 135378015360 is 367937.5155648035 -
The
cube root of 135378015360 is 5134.7115050769
Scales and comparisons
How big is 135378015360?- 135,378,015,360 seconds is equal to 4,304 years, 31 weeks, 2 days, 4 hours, 16 minutes.
-
To count from 1 to 135,378,015,360 would take you about eight thousand, six hundred nine 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 135378015360 cubic inches would be around 427.9 feet tall.
Recreational maths with 135378015360
- 135378015360 backwards is 063510873531
- 135378015360 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 135378015360's digits is 42
- More coming soon!
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