130416026400
130,416,026,400 is an even composite number composed of five prime numbers multiplied together.
What does the number 130416026400 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 540 divisors.
130416026400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of five hundred forty divisors.
Prime factorization of 130416026400:
25 × 34 × 52 × 112 × 16633
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 11 × 11 × 16633)See below for interesting mathematical facts about the number 130416026400 from the Numbermatics database.
Names of 130416026400
- Cardinal: 130416026400 can be written as One hundred thirty billion, four hundred sixteen million, twenty-six thousand, four hundred.
Scientific notation
- Scientific notation: 1.304160264 × 1011
Factors of 130416026400
Divisors of 130416026400
- Number of divisors d(n): 540
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 27 30 32 33 36 40 44 45 48 50 54 55 60 66 72 75 80 81 88 90 96 99 100 108 110 120 121 132 135 144 150 160 162 165 176 180 198 200 216 220 225 240 242 264 270 275 288 297 300 324 330 352 360 363 396 400 405 432 440 450 480 484 495 528 540 550 594 600 605 648 660 675 720 726 792 800 810 825 864 880 891 900 968 990 1056 1080 1089 1100 1188 1200 1210 1296 1320 1350 1440 1452 1485 1584 1620 1650 1760 1782 1800 1815 1936 1980 2025 2160 2178 2200 2376 2400 2420 2475 2592 2640 2700 2904 2970 3025 3168 3240 3267 3300 3564 3600 3630 3872 3960 4050 4320 4356 4400 4455 4752 4840 4950 5280 5400 5445 5808 5940 6050 6480 6534 6600 7128 7200 7260 7425 7920 8100 8712 8800 8910 9075 9504 9680 9801 9900 10800 10890 11616 11880 12100 12960 13068 13200 14256 14520 14850 15840 16200 16335 16633 17424 17820 18150 19360 19602 19800 21600 21780 22275 23760 24200 26136 26400 27225 28512 29040 29700 32400 32670 33266 34848 35640 36300 39204 39600 43560 44550 47520 48400 49005 49899 52272 54450 58080 59400 64800 65340 66532 71280 72600 78408 79200 81675 83165 87120 89100 96800 98010 99798 104544 108900 118800 130680 133064 142560 145200 149697 156816 163350 166330 174240 178200 182963 196020 199596 217800 237600 245025 249495 261360 266128 290400 299394 313632 326700 332660 356400 365926 392040 399192 415825 435600 449091 490050 498990 522720 532256 548889 598788 653400 665320 712800 731852 748485 784080 798384 831650 871200 898182 914815 980100 997980 1097778 1197576 1247475 1306800 1330640 1347273 1463704 1496970 1568160 1596768 1646667 1663300 1796364 1829630 1960200 1995960 2012593 2195556 2245455 2395152 2494950 2613600 2661280 2694546 2744445 2927408 2993940 3293334 3326600 3592728 3659260 3742425 3920400 3991920 4025186 4391112 4490910 4574075 4790304 4940001 4989900 5389092 5488890 5854816 5987880 6037779 6586668 6653200 6736365 7185456 7318520 7484850 7840800 7983840 8050372 8233335 8782224 8981820 9148150 9880002 9979800 10062965 10778184 10977780 11227275 11975760 12075558 13173336 13306400 13472730 13722225 14370912 14637040 14820003 14969700 16100744 16466670 17564448 17963640 18113337 18296300 19760004 19959600 20125930 21556368 21955560 22454550 23951520 24151116 24700005 26346672 26945460 27444450 29274080 29640006 29939400 30188895 32201488 32933340 33681825 35927280 36226674 36592600 39520008 39919200 40251860 41166675 43112736 43911120 44909100 48302232 49400010 50314825 52693344 53890920 54340011 54888900 59280012 59878800 60377790 64402976 65866680 67363650 71854560 72453348 73185200 74100015 79040016 80503720 82333350 87822240 89818200 90566685 96604464 98800020 100629650 107781840 108680022 109777800 118560024 119757600 120755580 123500025 131733360 134727300 144906696 146370400 148200030 150944475 158080032 161007440 163020033 164666700 179636400 181133370 193208928 197600040 201259300 215563680 217360044 219555600 237120048 241511160 247000050 263466720 269454600 271700055 289813392 296400060 301888950 322014880 326040066 329333400 359272800 362266740 370500075 395200080 402518600 434720088 439111200 452833425 474240096 483022320 494000100 538909200 543400110 579626784 592800120 603777900 652080132 658666800 724533480 741000150 790400160 805037200 815100165 869440176 905666850 966044640 988000200 1077818400 1086800220 1185600240 1207555800 1304160264 1317333600 1358500275 1449066960 1482000300 1610074400 1630200330 1738880352 1811333700 1976000400 2173600440 2371200480 2415111600 2608320528 2717000550 2898133920 2964000600 3260400660 3622667400 3952000800 4075500825 4347200880 4830223200 5216641056 5434001100 5928001200 6520801320 7245334800 8151001650 8694401760 10868002200 11856002400 13041602640 14490669600 16302003300 21736004400 26083205280 32604006600 43472008800 65208013200 130416026400
- Sum of all divisors σ(n): 522800448786
- Sum of proper divisors (its aliquot sum) s(n): 392384422386
- 130416026400 is an abundant number, because the sum of its proper divisors (392384422386) is greater than itself. Its abundance is 261968395986
Bases of 130416026400
- Binary: 11110010111010110011010100011001000002
- Hexadecimal: 0x1E5D66A320
- Base-36: 1NWUC200
Squares and roots of 130416026400
- 130416026400 squared (1304160264002) is 17008339941965496960000
- 130416026400 cubed (1304160264003) is 2218160110891546719424479744000000
-
The
square root of 130416026400 is 361131.5915286283 -
The
cube root of 130416026400 is 5071.1951245807
Scales and comparisons
How big is 130416026400?- 130,416,026,400 seconds is equal to 4,146 years, 42 weeks, 6 days, 18 hours.
-
To count from 1 to 130,416,026,400 would take you about eight thousand, two hundred ninety-three 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 130416026400 cubic inches would be around 422.6 feet tall.
Recreational maths with 130416026400
- 130416026400 backwards is 004620614031
- 130416026400 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 130416026400's digits is 27
- More coming soon!
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