130714145188200
130,714,145,188,200 is an even composite number composed of six prime numbers multiplied together.
130714145188200 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 130714145188200:
23 × 33 × 52 × 7 × 131 × 26397299
(2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 7 × 131 × 26397299)See below for interesting mathematical facts about the number 130714145188200 from the Numbermatics database.
Names of 130714145188200
- Cardinal: 130714145188200 can be written as One hundred thirty trillion, seven hundred fourteen billion, one hundred forty-five million, one hundred eighty-eight thousand, two hundred.
Scientific notation
- Scientific notation: 1.307141451882 × 1014
Factors of 130714145188200
Divisors of 130714145188200
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 25 27 28 30 35 36 40 42 45 50 54 56 60 63 70 72 75 84 90 100 105 108 120 126 131 135 140 150 168 175 180 189 200 210 216 225 252 262 270 280 300 315 350 360 378 393 420 450 504 524 525 540 600 630 655 675 700 756 786 840 900 917 945 1048 1050 1080 1179 1260 1310 1350 1400 1512 1572 1575 1800 1834 1890 1965 2100 2358 2520 2620 2700 2751 3144 3150 3275 3537 3668 3780 3930 4200 4585 4716 4725 5240 5400 5502 5895 6300 6550 7074 7336 7560 7860 8253 9170 9432 9450 9825 11004 11790 12600 13100 13755 14148 15720 16506 17685 18340 18900 19650 22008 22925 23580 24759 26200 27510 28296 29475 33012 35370 36680 37800 39300 41265 45850 47160 49518 55020 58950 66024 68775 70740 78600 82530 88425 91700 99036 110040 117900 123795 137550 141480 165060 176850 183400 198072 206325 235800 247590 275100 330120 353700 412650 495180 550200 618975 707400 825300 990360 1237950 1650600 2475900 4951800 26397299 52794598 79191897 105589196 131986495 158383794 184781093 211178392 237575691 263972990 316767588 369562186 395959485 475151382 527945980 554343279 633535176 659932475 712727073 739124372 791918970 923905465 950302764 1055891960 1108686558 1187878455 1319864950 1425454146 1478248744 1583837940 1663029837 1847810930 1900605528 1979797425 2217373116 2375756910 2639729900 2771716395 2850908292 3167675880 3326059674 3458046169 3563635365 3695621860 3959594850 4434746232 4619527325 4751513820 4989089511 5279459800 5543432790 5701816584 5939392275 6652119348 6916092338 7127270730 7391243720 7919189700 8315149185 9239054650 9503027640 9978179022 10374138507 11086865580 11878784550 13304238696 13832184676 13858581975 14254541460 15838379400 16630298370 17290230845 17818176825 18478109300 19956358044 20748277014 22173731160 23757569100 24206323183 24945447555 27664369352 27717163950 28509082920 31122415521 33260596740 34580461690 35636353650 36956218600 39912716088 41496554028 41575745925 47515138200 48412646366 49890895110 51870692535 55434327900 62244831042 66521193480 69160923380 71272707300 72618969549 82993108056 83151491850 86451154225 93367246563 96825292732 99781790220 103741385070 110868655800 121031615915 124489662084 124727237775 138321846760 142545414600 145237939098 155612077605 166302983700 172902308450 186734493126 193650585464 199563580440 207482770140 217856908647 242063231830 248979324168 249454475550 259353462675 290475878196 311224155210 332605967400 345804616900 363094847745 373468986252 414965540280 435713817294 466836232815 484126463660 498908951100 518706925350 580951756392 605158079575 622448310420 653570725941 691609233800 726189695490 746937972504 778060388025 871427634588 933672465630 968252927320 997817902200 1037413850700 1089284543235 1210316159150 1244896620840 1307141451882 1452379390980 1556120776050 1742855269176 1815474238725 1867344931260 2074827701400 2178569086470 2334181164075 2420632318300 2614282903764 2904758781960 3112241552100 3267853629705 3630948477450 3734689862520 4357138172940 4668362328150 4841264636600 5228565807528 5446422716175 6224483104200 6535707259410 7261896954900 8714276345880 9336724656300 10892845432350 13071414518820 14523793909800 16339268148525 18673449312600 21785690864700 26142829037640 32678536297050 43571381729400 65357072594100 130714145188200
- Sum of all divisors σ(n): 518485207680000
- Sum of proper divisors (its aliquot sum) s(n): 387771062491800
- 130714145188200 is an abundant number, because the sum of its proper divisors (387771062491800) is greater than itself. Its abundance is 257056917303600
Bases of 130714145188200
- Binary: 111011011100010010000100011000011101001011010002
- Hexadecimal: 0x76E24230E968
- Base-36: 1AC18Z3T60
Squares and roots of 130714145188200
- 130714145188200 squared (1307141451882002) is 17086187752281829213419240000
- 130714145188200 cubed (1307141451882003) is 2233406426564611639647558741115300968000000
-
The
square root of 130714145188200 is 11433028.6970776033 -
The
cube root of 130714145188200 is 50750.5627592657
Scales and comparisons
How big is 130714145188200?- 130,714,145,188,200 seconds is equal to 4,156,305 years, 25 weeks, 3 days, 22 hours, 30 minutes.
-
To count from 1 to 130,714,145,188,200 would take you about ten million, three hundred ninety thousand, seven hundred sixty-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 130714145188200 cubic inches would be around 4229.2 feet tall.
Recreational maths with 130714145188200
- 130714145188200 backwards is 002881541417031
- 130714145188200 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 130714145188200's digits is 45
- More coming soon!
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