230513712000
230,513,712,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 230513712000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1536 divisors.
230513712000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 230513712000:
27 × 3 × 53 × 112 × 13 × 43 × 71
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 11 × 11 × 13 × 43 × 71)See below for interesting mathematical facts about the number 230513712000 from the Numbermatics database.
Names of 230513712000
- Cardinal: 230513712000 can be written as Two hundred thirty billion, five hundred thirteen million, seven hundred twelve thousand.
Scientific notation
- Scientific notation: 2.30513712 × 1011
Factors of 230513712000
Divisors of 230513712000
- Number of divisors d(n): 1536
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 25 26 30 32 33 39 40 43 44 48 50 52 55 60 64 65 66 71 75 78 80 86 88 96 100 104 110 120 121 125 128 129 130 132 142 143 150 156 160 165 172 176 192 195 200 208 213 215 220 240 242 250 258 260 264 275 284 286 300 312 320 325 330 344 352 355 363 375 384 390 400 416 426 429 430 440 473 480 484 500 516 520 528 550 559 568 572 600 605 624 640 645 650 660 688 704 710 715 726 750 780 781 800 825 832 852 858 860 880 923 946 960 968 975 1000 1032 1040 1056 1065 1075 1100 1118 1136 1144 1200 1210 1248 1290 1300 1320 1375 1376 1408 1419 1420 1430 1452 1500 1560 1562 1573 1600 1625 1650 1664 1677 1704 1716 1720 1760 1775 1815 1846 1892 1920 1936 1950 2000 2064 2080 2112 2130 2145 2150 2200 2236 2272 2288 2343 2365 2400 2420 2496 2580 2600 2640 2750 2752 2769 2795 2838 2840 2860 2904 3000 3025 3053 3120 3124 3146 3200 3225 3250 3300 3354 3408 3432 3440 3520 3550 3575 3630 3692 3784 3872 3900 3905 4000 4125 4128 4160 4224 4260 4290 4300 4400 4472 4544 4576 4615 4686 4719 4730 4800 4840 4875 4992 5160 5200 5203 5280 5325 5375 5500 5504 5538 5590 5676 5680 5720 5808 6000 6050 6106 6149 6240 6248 6292 6450 6500 6600 6708 6816 6864 6880 7040 7095 7100 7150 7260 7384 7568 7744 7800 7810 7865 8000 8250 8256 8320 8385 8520 8580 8591 8600 8800 8875 8944 9075 9088 9152 9159 9230 9372 9438 9460 9600 9680 9750 10153 10320 10400 10406 10560 10650 10725 10750 11000 11076 11180 11352 11360 11440 11616 11715 11825 12000 12100 12212 12298 12480 12496 12584 12900 13000 13200 13416 13632 13728 13760 13845 13975 14190 14200 14300 14520 14768 15125 15136 15265 15488 15600 15609 15620 15730 16000 16125 16500 16512 16770 17040 17160 17182 17200 17600 17750 17875 17888 18150 18304 18318 18447 18460 18744 18876 18920 19360 19500 19525 20306 20640 20800 20812 21120 21300 21450 21500 22000 22152 22360 22704 22720 22880 23075 23232 23430 23595 23650 24000 24200 24424 24596 24960 24992 25168 25773 25800 26000 26015 26400 26625 26832 27264 27456 27520 27690 27950 28380 28400 28600 29040 29536 30250 30272 30459 30530 30745 31200 31218 31240 31460 32250 33000 33540 33583 34080 34320 34364 34400 35200 35475 35500 35750 35776 36300 36636 36894 36920 37488 37752 37840 38720 39000 39050 39325 39689 40612 41280 41600 41624 41925 42600 42900 42955 43000 44000 44304 44720 45375 45408 45440 45760 45795 46150 46464 46860 47190 47300 48000 48400 48848 49192 49984 50336 50765 51546 51600 52000 52030 52800 53250 53625 53664 54912 55380 55900 56760 56800 57200 58080 58575 59072 59125 60500 60544 60918 61060 61490 62400 62436 62480 62920 64500 66000 67080 67166 67639 68160 68640 68728 68800 69225 69875 70950 71000 71500 71552 72600 73272 73788 73840 74976 75504 75680 76325 77440 78000 78045 78100 78650 79378 81224 82560 83248 83850 85200 85800 85910 86000 88000 88608 89440 90750 90816 91520 91590 92235 92300 93720 94380 94600 96800 97625 97696 98384 99968 100672 100749 101530 103092 103200 104000 104060 105600 106500 107250 107328 110760 111683 111800 113520 113600 114400 115375 116160 117150 117975 118144 118250 119067 121000 121836 122120 122980 124800 124872 124960 125840 128865 129000 130075 132000 134160 134332 135278 136320 137280 137456 137600 138450 139750 141900 142000 143000 145200 146544 147576 147680 149952 151008 151360 152295 152650 153725 156000 156090 156200 157300 158756 162448 166496 167700 167915 170400 171600 171820 172000 176000 177216 177375 178880 181500 181632 183180 184470 184600 187440 188760 189200 193600 195250 195392 196625 196768 198445 201344 201498 202917 203060 206184 206400 208000 208120 209625 213000 214500 214656 214775 221520 223366 223600 227040 227200 228800 228975 230750 232320 234300 235950 236500 238134 242000 243672 244240 245960 249744 249920 251680 253825 257730 258000 260150 264000 268320 268664 270556 274560 274912 276900 279500 283800 284000 286000 290400 292875 293088 295152 295360 299904 302016 302720 304590 305300 307450 312000 312180 312400 314600 317512 324896 332992 335049 335400 335830 338195 340800 343200 343640 344000 346125 354432 354750 357760 363000 366360 368940 369200 369413 374880 377520 378400 381625 387200 390225 390500 390784 393250 393536 396890 402996 405834 406120 412368 412800 416240 419250 426000 429000 429550 436579 443040 446732 447200 454080 457600 457950 461175 461500 468600 471900 473000 476268 484000 487344 488480 491920 499488 499840 503360 503745 507650 515460 516000 520300 528000 536640 537328 541112 549824 553800 558415 559000 567600 568000 572000 580800 585750 586176 589875 590304 590720 595335 604032 609180 610600 614900 624000 624360 624800 629200 635024 644325 649792 650375 665984 670098 670800 671660 676390 681600 686400 687280 688000 692250 709500 726000 732720 737880 738400 738826 749760 755040 756800 761475 763250 768625 780450 781000 786500 787072 793780 805992 811668 812240 824736 832480 838500 839575 852000 858000 859100 873158 886080 893464 894400 908160 915900 922350 923000 937200 943800 946000 952536 968000 974688 976960 983840 992225 998976 1006720 1007490 1014585 1015300 1030920 1032000 1040600 1073280 1073875 1074656 1082224 1099648 1107600 1108239 1116830 1118000 1135200 1136000 1144000 1144875 1161600 1171500 1172352 1179750 1180608 1190670 1218360 1221200 1229800 1248720 1249600 1258400 1269125 1270048 1288650 1299584 1300750 1309737 1340196 1341600 1343320 1352780 1372800 1374560 1384500 1419000 1452000 1465440 1475760 1476800 1477652 1499520 1510080 1513600 1522950 1526500 1537250 1560900 1562000 1573000 1587560 1611984 1623336 1624480 1649472 1664960 1675245 1677000 1679150 1690975 1704000 1716000 1718200 1746316 1772160 1786928 1788800 1831800 1844700 1846000 1847065 1874400 1887600 1892000 1905072 1936000 1949376 1951125 1953920 1967680 1984450 1997952 2014980 2029170 2030600 2061840 2064000 2081200 2147750 2149312 2164448 2182895 2215200 2216478 2233660 2236000 2270400 2288000 2289750 2305875 2343000 2359500 2361216 2381340 2436720 2442400 2459600 2497440 2499200 2516800 2518725 2538250 2540096 2577300 2601500 2619474 2680392 2683200 2686640 2705560 2749120 2769000 2792075 2838000 2904000 2930880 2951520 2953600 2955304 2976675 3020160 3045900 3053000 3074500 3121800 3124000 3146000 3175120 3221625 3223968 3246672 3248960 3298944 3329920 3350490 3354000 3358300 3381950 3408000 3432000 3436400 3492632 3573856 3663600 3689400 3692000 3694130 3748800 3775200 3784000 3807375 3810144 3898752 3902250 3935360 3968900 4029960 4058340 4061200 4123680 4162400 4197875 4295500 4298624 4328896 4365790 4430400 4432956 4467320 4472000 4540800 4579500 4611750 4686000 4719000 4762680 4802369 4873440 4884800 4919200 4961125 4994880 5033600 5037450 5072925 5076500 5080192 5154600 5203000 5238948 5360784 5366400 5373280 5411120 5498240 5538000 5541195 5584150 5676000 5808000 5861760 5903040 5910608 5953350 6091800 6106000 6149000 6243600 6248000 6292000 6350240 6443250 6447936 6493344 6497920 6548685 6700980 6708000 6716600 6763900 6864000 6872800 6985264 7147712 7327200 7378800 7384000 7388260 7497600 7550400 7568000 7614750 7620288 7804500 7937800 8059920 8116680 8122400 8247360 8324800 8376225 8395750 8454875 8591000 8657792 8731580 8860800 8865912 8934640 8944000 9159000 9223500 9235325 9372000 9438000 9525360 9604738 9746880 9769600 9838400 9922250 9989760 10074900 10145850 10153000 10309200 10406000 10477896 10721568 10746560 10822240 10914475 11076000 11082390 11168300 11352000 11806080 11821216 11906700 12183600 12212000 12298000 12487200 12496000 12584000 12593625 12700480 12886500 12895872 12986688 13097370 13401960 13416000 13433200 13527800 13745600 13960375 13970528 14295424 14407107 14654400 14757600 14768000 14776520 14883375 15100800 15229500 15240576 15609000 15875600 16119840 16233360 16244800 16494720 16649600 16752450 16791500 16909750 17182000 17463160 17731824 17869280 18318000 18447000 18470650 18744000 18876000 19050720 19209476 19493760 19676800 19844500 20149800 20291700 20306000 20618400 20812000 20955792 21443136 21493120 21644480 21828950 22152000 22164780 22336600 22704000 23642432 23813400 24011845 24367200 24424000 24596000 24974400 25168000 25187250 25364625 25400960 25773000 25973376 26194740 26803920 26832000 26866400 27055600 27491200 27705975 27920750 27941056 28814214 29308800 29515200 29553040 29766750 30459000 31218000 31751200 32239680 32466720 32489600 32743425 33504900 33583000 33819500 34364000 34926320 35463648 35738560 36636000 36894000 36941300 37488000 37752000 38101440 38418952 39689000 40299600 40583400 40612000 41236800 41624000 41881125 41911584 42886272 43288960 43657900 44304000 44329560 44673200 46176625 47284864 47626800 48023690 48734400 48848000 49192000 49948800 50374500 50729250 51546000 52389480 53607840 53732800 54111200 54572375 55411950 55841500 55882112 57628428 59030400 59106080 59533500 60918000 62436000 63502400 64479360 64933440 65486850 67009800 67166000 67639000 68728000 69852640 70927296 71477120 72035535 73272000 73788000 73882600 75504000 76202880 76837904 79378000 80599200 81166800 81224000 82473600 83248000 83762250 83823168 87315800 88659120 89346400 92353250 95253600 96047380 97468800 98384000 100749000 101458500 103092000 104778960 107215680 107465600 108222400 109144750 110823900 111683000 115256856 118212160 119067000 120059225 121836000 124872000 127004800 129866880 130973700 134019600 134332000 135278000 137456000 138529875 139705280 141854592 144071070 146544000 147576000 147765200 153675808 158756000 161198400 162333600 162448000 163717125 167524500 167646336 174631600 177318240 178692800 184706500 190507200 192094760 201498000 202917000 206184000 209557920 214431360 216444800 218289500 221647800 223366000 230513712 236424320 238134000 240118450 243672000 249744000 261947400 268039200 268664000 270556000 277059750 279410560 288142140 295152000 295530400 307351616 317512000 322396800 324667200 327434250 335049000 349263200 354636480 357385600 360177675 369413000 381014400 384189520 402996000 405834000 412368000 419115840 436579000 443295600 446732000 461027424 476268000 480236900 487344000 523894800 536078400 537328000 541112000 554119500 576284280 591060800 600296125 614703232 635024000 649334400 654868500 670098000 698526400 709272960 720355350 738826000 768379040 805992000 811668000 838231680 873158000 886591200 893464000 922054848 952536000 960473800 1047789600 1072156800 1082224000 1108239000 1152568560 1182121600 1200592250 1309737000 1340196000 1397052800 1440710700 1477652000 1536758080 1611984000 1623336000 1746316000 1773182400 1786928000 1800888375 1844109696 1905072000 1920947600 2095579200 2216478000 2305137120 2401184500 2619474000 2680392000 2881421400 2955304000 3073516160 3246672000 3492632000 3546364800 3601776750 3841895200 4191158400 4432956000 4610274240 4802369000 5238948000 5360784000 5762842800 5910608000 6985264000 7203553500 7683790400 8865912000 9220548480 9604738000 10477896000 11525685600 14407107000 15367580800 17731824000 19209476000 20955792000 23051371200 28814214000 38418952000 46102742400 57628428000 76837904000 115256856000 230513712000
- Sum of all divisors σ(n): 938619601920
- Sum of proper divisors (its aliquot sum) s(n): 708105889920
- 230513712000 is an abundant number, because the sum of its proper divisors (708105889920) is greater than itself. Its abundance is 477592177920
Bases of 230513712000
- Binary: 110101101010111011000000011011100000002
- Hexadecimal: 0x35ABB01B80
- Base-36: 2XW9WUIO
Squares and roots of 230513712000
- 230513712000 squared (2305137120002) is 53136571420018944000000
- 230513712000 cubed (2305137120003) is 12248708320981677891760128000000000
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The
square root of 230513712000 is 480118.4353886029 -
The
cube root of 230513712000 is 6131.4838416323
Scales and comparisons
How big is 230513712000?- 230,513,712,000 seconds is equal to 7,329 years, 32 weeks, 2 days, 18 hours, 40 minutes.
-
To count from 1 to 230,513,712,000 would take you about fourteen thousand, six hundred fifty-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 230513712000 cubic inches would be around 511 feet tall.
Recreational maths with 230513712000
- 230513712000 backwards is 000217315032
- 230513712000 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 230513712000's digits is 24
- More coming soon!
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The information we have on file for 230513712000 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 230513712000, math, Factors of 230513712000, curriculum, school, college, exams, university, Prime factorization of 230513712000, STEM, science, technology, engineering, physics, economics, calculator, two hundred thirty billion, five hundred thirteen million, seven hundred twelve thousand.