230072138400
230,072,138,400 is an even composite number composed of seven prime numbers multiplied together.
230072138400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 230072138400:
25 × 3 × 52 × 132 × 17 × 61 × 547
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 13 × 13 × 17 × 61 × 547)See below for interesting mathematical facts about the number 230072138400 from the Numbermatics database.
Names of 230072138400
- Cardinal: 230072138400 can be written as Two hundred thirty billion, seventy-two million, one hundred thirty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 2.300721384 × 1011
Factors of 230072138400
Divisors of 230072138400
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 17 20 24 25 26 30 32 34 39 40 48 50 51 52 60 61 65 68 75 78 80 85 96 100 102 104 120 122 130 136 150 156 160 169 170 183 195 200 204 208 221 240 244 255 260 272 300 305 312 325 338 340 366 390 400 408 416 425 442 480 488 507 510 520 544 547 600 610 624 650 663 676 680 732 780 793 800 816 845 850 884 915 975 976 1014 1020 1037 1040 1094 1105 1200 1220 1248 1275 1300 1326 1352 1360 1464 1525 1560 1586 1632 1641 1690 1700 1768 1830 1950 1952 2028 2040 2074 2080 2188 2210 2379 2400 2440 2535 2550 2600 2652 2704 2720 2735 2873 2928 3050 3111 3120 3172 3282 3315 3380 3400 3536 3660 3900 3965 4056 4080 4148 4225 4376 4420 4575 4758 4880 5070 5100 5185 5200 5304 5408 5470 5525 5746 5856 6100 6222 6240 6344 6564 6630 6760 6800 7072 7111 7320 7800 7930 8112 8160 8205 8296 8450 8619 8752 8840 9150 9299 9516 9760 10140 10200 10309 10370 10400 10608 10940 11050 11492 11895 12200 12444 12675 12688 13128 13260 13481 13520 13600 13675 14222 14365 14640 15555 15600 15860 16224 16410 16575 16592 16900 17238 17504 17680 18300 18598 19032 19825 20280 20400 20618 20740 21216 21333 21880 22100 22984 23790 24400 24888 25350 25376 25925 26256 26520 26962 27040 27350 27897 28444 28730 29280 30927 31110 31200 31720 32820 33150 33184 33367 33800 34476 35360 35555 36600 37196 38064 39650 40443 40560 40800 41025 41236 41480 42666 43095 43760 44200 45968 46495 47580 48800 49776 50700 51545 51850 52512 53040 53924 54700 55794 56888 57460 59475 61854 62220 63440 65640 66300 66734 67405 67600 68952 71110 71825 73200 74392 76128 77775 79300 80886 81120 82050 82472 82960 85332 86190 87520 88400 91936 92443 92990 95160 99552 100101 101400 103090 103700 106080 106665 107848 109400 111588 113776 114920 118950 120887 123708 124440 126880 131280 132600 133468 134810 135200 137904 139485 142220 143650 146400 148784 154635 155550 158600 161772 164100 164944 165920 166835 170664 172380 175253 176800 177775 184886 185980 190320 200202 202215 202800 206180 207400 213330 215475 215696 218800 223176 227552 229840 232475 237900 241774 247416 248880 257725 262560 265200 266936 269620 275808 277329 278970 284440 287300 297568 309270 311100 317200 323544 328200 329888 333670 337025 341328 344760 350506 355550 362661 369772 371960 380640 400404 404430 405600 412360 414800 426660 430950 431392 433771 437600 446352 459680 462215 464950 475800 483548 494832 497760 500505 515450 525759 530400 533325 533872 539240 554658 557940 567239 568880 574600 604435 618540 622200 634400 647088 656400 667340 674050 682656 689520 697425 701012 711100 725322 739544 743920 773175 800808 808860 824720 829600 834175 853320 861900 867542 876265 892704 924430 929900 951600 967096 989664 1001010 1011075 1030900 1051518 1066650 1067744 1078480 1109316 1115880 1134478 1137760 1149200 1208870 1237080 1244400 1294176 1301313 1312800 1334680 1348100 1379040 1386645 1394850 1402024 1422200 1450644 1479088 1487840 1546350 1571531 1601616 1617720 1649440 1668350 1701717 1706640 1723800 1735084 1752530 1813305 1848860 1859800 1903200 1934192 2002020 2022150 2061800 2103036 2133300 2156960 2168855 2218632 2231760 2268956 2298400 2311075 2417740 2474160 2488800 2502525 2602626 2628795 2669360 2696200 2773290 2789700 2804048 2836195 2844400 2901288 2958176 3022175 3092700 3143062 3203232 3235440 3336700 3403434 3413280 3447600 3470168 3505060 3626610 3697720 3719600 3868384 4004040 4044300 4123600 4206072 4266600 4337710 4381325 4437264 4463520 4537912 4622150 4714593 4835480 4948320 5005050 5205252 5257590 5338720 5392400 5546580 5579400 5608096 5639023 5672390 5688800 5802576 6044350 6185400 6286124 6470880 6506565 6673400 6806868 6895200 6933225 6940336 7010120 7253220 7374107 7395440 7439200 7857655 8008080 8088600 8247200 8412144 8508585 8533200 8675420 8762650 8874528 9066525 9075824 9244300 9429186 9670960 10010100 10410504 10515180 10784800 10844275 11093160 11158800 11278046 11344780 11605152 12088700 12370800 12572248 13013130 13143975 13346800 13613736 13866450 13880672 14020240 14180975 14506440 14748214 14790880 15715310 16016160 16177200 16824288 16917069 17017170 17066400 17350840 17525300 18133050 18151648 18488600 18858372 19341920 20020200 20821008 21030360 21688550 22122321 22186320 22317600 22556092 22689560 23572965 24177400 24741600 25144496 26026260 26287950 26693600 27227472 27732900 28040480 28195115 28361950 29012880 29496428 31430620 32354400 32532825 33834138 34034340 34701680 35050600 36266100 36870535 36977200 37716744 39288275 40040400 41642016 42060720 42542925 43377100 44244642 44372640 45112184 45379120 47145930 48354800 50288992 52052520 52575900 54454944 55465800 56390230 56723900 58025760 58992856 62861240 65065650 67668276 68068680 69403360 70101200 72532200 73741070 73954400 75433488 78576550 80080800 84121440 84585345 85085850 86754200 88489284 90224368 90758240 94291860 95863391 96709600 104105040 105151800 110611605 110931600 112780460 113447800 117864825 117985712 125722480 130131300 135336552 136137360 140202400 140975575 145064400 147482140 150866976 157153100 169170690 170171700 173508400 176978568 180448736 184352675 188583720 191726782 208210080 210303600 221223210 221863200 225560920 226895600 235729650 235971424 251444960 260262600 270673104 272274720 281951150 287590173 290128800 294964280 314306200 338341380 340343400 347016800 353957136 368705350 377167440 383453564 420607200 422926725 442446420 451121840 453791200 471459300 479316955 520525200 541346208 553058025 563902300 575180346 589928560 628612400 676682760 680686800 707914272 737410700 754334880 766907128 845853450 884892840 902243680 942918600 958633910 1041050400 1106116050 1127804600 1150360692 1179857120 1257224800 1353365520 1361373600 1437950865 1474821400 1533814256 1691706900 1769785680 1885837200 1917267820 2212232100 2255609200 2300721384 2396584775 2706731040 2875901730 2949642800 3067628512 3383413800 3539571360 3771674400 3834535640 4424464200 4511218400 4601442768 4793169550 5751803460 5899285600 6766827600 7189754325 7669071280 8848928400 9202885536 9586339100 11503606920 13533655200 14379508650 15338142560 17697856800 19172678200 23007213840 28759017300 38345356400 46014427680 57518034600 76690712800 115036069200 230072138400
- Sum of all divisors σ(n): 874295166528
- Sum of proper divisors (its aliquot sum) s(n): 644223028128
- 230072138400 is an abundant number, because the sum of its proper divisors (644223028128) is greater than itself. Its abundance is 414150889728
Bases of 230072138400
- Binary: 110101100100010101111000111010101000002
- Hexadecimal: 0x35915E3AA0
- Base-36: 2XOZ0E5C
Squares and roots of 230072138400
- 230072138400 squared (2300721384002) is 52933188867948754560000
- 230072138400 cubed (2300721384003) is 12178451955180045183235951104000000
-
The
square root of 230072138400 is 479658.3559159583 -
The
cube root of 230072138400 is 6127.5661685825
Scales and comparisons
How big is 230072138400?- 230,072,138,400 seconds is equal to 7,315 years, 30 weeks, 1 day, 23 hours, 20 minutes.
-
To count from 1 to 230,072,138,400 would take you about fourteen thousand, six hundred thirty-one 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 230072138400 cubic inches would be around 510.6 feet tall.
Recreational maths with 230072138400
- 230072138400 backwards is 004831270032
- 230072138400 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 230072138400's digits is 30
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 230072138400 - Facts about the integer". Numbermatics.com. 2024. Web. 16 May 2024.
APA style:
Numbermatics. (2024). Number 230072138400 - Facts about the integer. Retrieved 16 May 2024, from https://numbermatics.com/n/230072138400/
Chicago style:
Numbermatics. 2024. "Number 230072138400 - Facts about the integer". https://numbermatics.com/n/230072138400/
The information we have on file for 230072138400 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 230072138400, math, Factors of 230072138400, curriculum, school, college, exams, university, Prime factorization of 230072138400, STEM, science, technology, engineering, physics, economics, calculator, two hundred thirty billion, seventy-two million, one hundred thirty-eight thousand, four hundred.