230438020200
230,438,020,200 is an even composite number composed of six prime numbers multiplied together.
230438020200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 230438020200:
23 × 3 × 52 × 372 × 472 × 127
(2 × 2 × 2 × 3 × 5 × 5 × 37 × 37 × 47 × 47 × 127)See below for interesting mathematical facts about the number 230438020200 from the Numbermatics database.
Names of 230438020200
- Cardinal: 230438020200 can be written as Two hundred thirty billion, four hundred thirty-eight million, twenty thousand, two hundred.
Scientific notation
- Scientific notation: 2.304380202 × 1011
Factors of 230438020200
Divisors of 230438020200
- Number of divisors d(n): 432
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 20 24 25 30 37 40 47 50 60 74 75 94 100 111 120 127 141 148 150 185 188 200 222 235 254 282 296 300 370 376 381 444 470 508 555 564 600 635 705 740 762 888 925 940 1016 1110 1128 1175 1270 1369 1410 1480 1524 1739 1850 1880 1905 2209 2220 2350 2540 2738 2775 2820 3048 3175 3478 3525 3700 3810 4107 4418 4440 4699 4700 5080 5217 5476 5550 5640 5969 6350 6627 6845 6956 7050 7400 7620 8214 8695 8836 9398 9400 9525 10434 10952 11045 11100 11938 12700 13254 13690 13912 14097 14100 15240 16428 17390 17672 17907 18796 19050 20535 20868 22090 22200 23495 23876 25400 26085 26508 27380 28194 28200 29845 32856 33135 34225 34780 35814 37592 38100 41070 41736 43475 44180 46990 47752 52170 53016 54760 55225 56388 59690 64343 66270 68450 69560 70485 71628 76200 81733 82140 86950 88360 89535 93980 102675 104340 110450 112776 117475 119380 128686 130425 132540 136900 140970 143256 149225 163466 164280 165675 173863 173900 179070 187960 193029 205350 208680 220853 220900 234950 238760 245199 257372 260850 265080 273800 280543 281940 298450 321715 326932 331350 347726 347800 352425 358140 386058 408665 410700 441706 441800 447675 469900 490398 514744 521589 521700 561086 563880 596900 643430 653864 662559 662700 695452 704850 716280 772116 817330 821400 841629 869315 883412 895350 939800 965145 980796 1043178 1043400 1104265 1122172 1193800 1225995 1286860 1325118 1325400 1390904 1402715 1409700 1544232 1608575 1634660 1683258 1738630 1766824 1790700 1930290 1961592 2043325 2086356 2208530 2244344 2451990 2573720 2607945 2650236 2805430 2819400 3024121 3217150 3269320 3312795 3366516 3477260 3581400 3860580 4086650 4172712 4208145 4346575 4417060 4825725 4903980 5215890 5300472 5521325 5610860 6048242 6129975 6434300 6625590 6733032 6954520 7013575 7721160 8171561 8173300 8416290 8693150 8834120 9072363 9651450 9807960 10380091 10431780 11042650 11221720 12096484 12259950 12868600 13039725 13251180 14027150 15120605 16343122 16346600 16563975 16832580 17386300 18144726 19302900 20760182 20863560 21040725 22085300 24192968 24514683 24519900 26079450 26502360 28054300 30241210 31140273 32686244 33127950 33665160 34772600 36289452 38605800 40857805 41520364 42081450 44170600 45361815 49029366 49039800 51900455 52158900 56108600 60482420 62280546 65372488 66255900 72578904 75603025 81715610 83040728 84162900 90723630 98058732 103800910 104317800 120964840 122573415 124561092 132511800 151206050 155701365 163431220 168325800 181447260 196117464 204289025 207601820 226809075 245146830 249122184 259502275 302412100 311402730 326862440 362894520 384063367 408578050 415203640 453618150 490293660 519004550 604824200 612867075 622805460 768126734 778506825 817156100 907236300 980587320 1038009100 1152190101 1225734150 1245610920 1536253468 1557013650 1634312200 1814472600 1920316835 2076018200 2304380202 2451468300 3072506936 3114027300 3840633670 4608760404 4902936600 5760950505 6228054600 7681267340 9217520808 9601584175 11521901010 15362534680 19203168350 23043802020 28804752525 38406336700 46087604040 57609505050 76812673400 115219010100 230438020200
- Sum of all divisors σ(n): 756046609920
- Sum of proper divisors (its aliquot sum) s(n): 525608589720
- 230438020200 is an abundant number, because the sum of its proper divisors (525608589720) is greater than itself. Its abundance is 295170569520
Bases of 230438020200
- Binary: 110101101001110010110100100100011010002
- Hexadecimal: 0x35A72D2468
- Base-36: 2XV0UICO
Squares and roots of 230438020200
- 230438020200 squared (2304380202002) is 53101681153695608040000
- 230438020200 cubed (2304380202003) is 12236646274349267830172802408000000
-
The
square root of 230438020200 is 480039.6027412739 -
The
cube root of 230438020200 is 6130.8126540027
Scales and comparisons
How big is 230438020200?- 230,438,020,200 seconds is equal to 7,327 years, 11 weeks, 1 day, 17 hours, 10 minutes.
-
To count from 1 to 230,438,020,200 would take you about fourteen thousand, six hundred fifty-four 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 230438020200 cubic inches would be around 510.9 feet tall.
Recreational maths with 230438020200
- 230438020200 backwards is 002020834032
- 230438020200 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 230438020200's digits is 24
- More coming soon!
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