230201628800
230,201,628,800 is an even composite number composed of seven prime numbers multiplied together.
230201628800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 230201628800:
27 × 52 × 112 × 13 × 19 × 29 × 83
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 11 × 11 × 13 × 19 × 29 × 83)See below for interesting mathematical facts about the number 230201628800 from the Numbermatics database.
Names of 230201628800
- Cardinal: 230201628800 can be written as Two hundred thirty billion, two hundred one million, six hundred twenty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 2.302016288 × 1011
Factors of 230201628800
Divisors of 230201628800
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 4 5 8 10 11 13 16 19 20 22 25 26 29 32 38 40 44 50 52 55 58 64 65 76 80 83 88 95 100 104 110 116 121 128 130 143 145 152 160 166 176 190 200 208 209 220 232 242 247 260 275 286 290 304 319 320 325 332 352 377 380 400 415 416 418 440 464 475 484 494 520 550 551 572 580 605 608 638 640 650 664 704 715 725 754 760 800 830 832 836 880 913 928 950 968 988 1040 1045 1079 1100 1102 1144 1160 1210 1216 1235 1276 1300 1328 1408 1430 1450 1508 1520 1573 1577 1595 1600 1660 1664 1672 1760 1826 1856 1885 1900 1936 1976 2075 2080 2090 2158 2200 2204 2288 2299 2320 2407 2420 2432 2470 2552 2600 2656 2717 2755 2860 2900 3016 3025 3040 3146 3154 3190 3200 3320 3344 3509 3520 3575 3652 3712 3770 3800 3872 3952 4147 4150 4160 4180 4316 4400 4408 4565 4576 4598 4640 4814 4840 4940 5104 5200 5225 5312 5395 5434 5510 5720 5800 6032 6050 6061 6080 6175 6292 6308 6380 6640 6688 7018 7040 7150 7163 7304 7540 7600 7744 7865 7885 7904 7975 8294 8300 8320 8360 8632 8800 8816 9130 9152 9196 9280 9425 9628 9680 9880 10043 10208 10400 10450 10624 10790 10868 11020 11440 11495 11600 11869 12035 12064 12100 12122 12160 12350 12584 12616 12760 13280 13376 13585 13775 14036 14300 14326 14608 15080 15200 15488 15730 15770 15808 15950 16588 16600 16720 17264 17347 17545 17600 17632 18260 18304 18392 18560 18850 19256 19360 19760 20086 20416 20501 20735 20800 20900 21580 21736 22040 22825 22880 22990 23200 23738 24070 24128 24200 24244 24700 25168 25232 25520 26477 26560 26752 26975 27170 27550 28072 28600 28652 29216 29887 30160 30305 30400 31291 31460 31540 31616 31900 33176 33200 33440 34528 34694 35090 35200 35264 35815 36520 36784 37700 38512 38720 39325 39425 39520 40172 40832 41002 41470 41600 41800 43160 43472 44080 45617 45650 45733 45760 45980 46400 47476 48140 48256 48400 48488 49400 50215 50336 50464 51040 52954 53120 53950 54340 55100 56144 57200 57304 57475 58432 59345 59774 60175 60320 60610 60800 62582 62920 63080 63800 66352 66400 66671 66880 67925 69056 69388 70180 70528 71630 73040 73568 75400 77024 77440 78650 78793 78850 79040 80344 82004 82940 83600 86320 86735 86944 87725 88160 91234 91300 91466 91520 91960 92800 94952 96280 96800 96976 98800 100430 100672 100928 102080 102505 103675 105908 107900 108680 110200 112288 114400 114608 114950 116864 118690 119548 120350 120640 121220 125164 125840 126160 127600 130559 132385 132704 132800 133342 133760 135850 138112 138776 140360 143260 146080 147136 149435 150800 151525 154048 156455 157300 157586 157700 158080 160688 164008 165880 167200 172640 173470 173888 175450 176320 179075 182468 182600 182932 183920 189904 190817 192560 193600 193952 197600 200860 201344 201856 204160 205010 207350 211816 215800 217360 220400 224576 225511 228085 228665 228800 229216 229900 237380 239096 240700 241280 242440 250328 251075 251680 252320 255200 261118 264770 265408 265600 266684 271700 277552 280720 286520 291247 292160 294272 296725 298870 301600 303050 308096 312910 314600 315172 315400 321376 328016 331760 333355 334400 344201 345280 346940 347776 350900 352640 358150 364936 365200 365864 367840 379808 381634 385120 387200 387904 393965 395200 401720 410020 414700 423632 431600 433675 434720 440800 449152 451022 456170 457330 457600 458432 459800 474760 478192 481400 484880 500656 502150 503063 503360 504640 510400 512525 522236 529540 530816 533368 543400 555104 561440 573040 582494 584320 593450 594529 597740 603200 606100 625820 629200 630344 630800 642752 652795 656032 661925 663520 666710 668800 688402 690560 693880 701800 716300 729872 730400 731728 735680 747175 759616 763268 770240 775808 782275 787930 790400 803440 820040 829400 847264 863200 866723 867350 869440 881600 902044 912340 914660 916864 919600 949520 954085 956384 962800 969760 1001312 1004300 1006126 1006720 1009280 1020800 1025050 1044472 1059080 1066736 1086800 1110208 1122880 1127555 1140425 1143325 1146080 1164988 1186900 1189058 1195480 1206400 1212200 1251640 1258400 1260688 1261600 1285504 1305590 1312064 1323850 1327040 1333420 1376804 1387760 1403600 1432600 1456235 1459744 1460800 1463456 1471360 1494350 1519232 1526536 1540480 1564550 1575860 1606880 1640080 1658800 1666775 1694528 1721005 1726400 1733446 1734700 1738880 1763200 1804088 1824680 1829320 1839200 1899040 1908170 1912768 1925600 1939520 1969825 2002624 2008600 2012252 2050100 2088944 2118160 2133472 2173600 2220416 2245760 2255110 2280850 2286650 2292160 2329976 2373800 2378116 2390960 2424400 2480621 2503280 2515315 2516800 2521376 2523200 2611180 2624128 2647700 2654080 2666840 2753608 2775520 2807200 2865200 2912470 2919488 2921600 2926912 2972645 2988700 3053072 3129100 3151720 3213760 3263975 3280160 3317600 3333550 3389056 3442010 3452800 3466892 3469400 3608176 3649360 3658640 3678400 3786211 3798080 3816340 3825536 3851200 3879040 3939650 4005248 4017200 4024504 4100200 4177888 4236320 4266944 4333615 4347200 4510220 4561700 4573300 4584320 4659952 4747600 4756232 4770425 4781920 4848800 4961242 5006560 5030630 5033600 5042752 5046400 5222360 5295400 5333680 5507216 5533693 5551040 5614400 5637775 5730400 5824940 5838976 5853824 5945290 5977400 6106144 6258200 6303440 6427520 6527950 6539819 6560320 6635200 6667100 6884020 6933784 6938800 7216352 7281175 7298720 7317280 7356800 7572422 7596160 7632680 7702400 7879300 8034400 8049008 8200400 8355776 8472640 8533888 8605025 8667230 8694400 9020440 9123400 9146600 9319904 9495200 9512464 9540850 9563840 9697600 9922484 10013120 10061260 10085504 10444720 10590800 10667360 11014432 11067386 11102080 11228800 11275550 11460800 11649880 11890580 11954800 12212288 12403105 12516400 12576575 12606880 13055900 13079638 13120640 13270400 13334200 13768040 13867568 13877600 14432704 14562350 14597440 14634560 14863225 15144844 15265360 15758600 16068800 16098016 16400800 16711552 16945280 17210050 17334460 18040880 18246800 18293200 18639808 18931055 18990400 19024928 19081700 19127680 19395200 19844968 20026240 20122520 20889440 21181600 21334720 21668075 22028864 22134772 22551100 22921600 23299760 23781160 23909600 24424576 24806210 25032800 25153150 25213760 26111800 26159276 26668400 27536080 27668465 27735136 27755200 28865408 29124700 29194880 29269120 29726450 30289688 30530720 31517200 32137600 32196032 32699095 32801600 34420100 34668920 36081760 36493600 36586400 37279616 37862110 37980800 38049856 38163400 39689936 40245040 41778880 42363200 42669440 43336150 44057728 44269544 45102200 46599520 47562320 47819200 49612420 50065600 50306300 50427520 52223600 52318552 53336800 55072160 55336930 55470272 55510400 58249400 59452900 60579376 61061440 62015525 63034400 64392064 65398190 65603200 68840200 69337840 71938009 72163520 72987200 73172800 75724220 76099712 76326800 79379872 80490080 83557760 84726400 86672300 88539088 90204400 93199040 94655275 95124640 95638400 99224840 100131200 100612600 104447200 104637104 106673600 110144320 110673860 110940544 116498800 118905800 121158752 122122880 124031050 126068800 130796380 137680400 138342325 138675680 143876018 144327040 145974400 146345600 151448440 152653600 158759744 160980160 163495475 173344600 177078176 180408800 186398080 189310550 190249280 198449680 201225200 208894400 209274208 213347200 220288640 221347720 232997600 237811600 242317504 248062100 252137600 261592760 275360800 276684650 277351360 287752036 302896880 305307200 317519488 321960320 326990950 346689200 354156352 359690045 360817600 378621100 380498560 396899360 402450400 417788800 418548416 442695440 465995200 475623200 484635008 496124200 523185520 550721600 553369300 554702720 575504072 605793760 610614400 653981900 693378400 708312704 719380090 721635200 757242200 793798720 804900800 837096832 885390880 931990400 951246400 992248400 1046371040 1101443200 1106738600 1151008144 1211587520 1307963800 1386756800 1438760180 1514484400 1587597440 1609801600 1770781760 1798450225 1902492800 1984496800 2092742080 2213477200 2302016288 2423175040 2615927600 2773513600 2877520360 3028968800 3541563520 3596900450 3968993600 4185484160 4426954400 4604032576 5231855200 5755040720 6057937600 7193800900 7937987200 8853908800 9208065152 10463710400 11510081440 12115875200 14387601800 17707817600 20927420800 23020162880 28775203600 46040325760 57550407200 115100814400 230201628800
- Sum of all divisors σ(n): 741843144000
- Sum of proper divisors (its aliquot sum) s(n): 511641515200
- 230201628800 is an abundant number, because the sum of its proper divisors (511641515200) is greater than itself. Its abundance is 281439886400
Bases of 230201628800
- Binary: 110101100110010001011000011000100000002
- Hexadecimal: 0x3599161880
- Base-36: 2XR43TKW
Squares and roots of 230201628800
- 230201628800 squared (2302016288002) is 52992789902172989440000
- 230201628800 cubed (2302016288003) is 12199026550136414828453199872000000
-
The
square root of 230201628800 is 479793.3188363507 -
The
cube root of 230201628800 is 6128.7155358869
Scales and comparisons
How big is 230201628800?- 230,201,628,800 seconds is equal to 7,319 years, 36 weeks, 2 days, 16 hours, 53 minutes, 20 seconds.
-
To count from 1 to 230,201,628,800 would take you about fourteen thousand, six hundred thirty-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 230201628800 cubic inches would be around 510.7 feet tall.
Recreational maths with 230201628800
- 230201628800 backwards is 008826102032
- 230201628800 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 230201628800's digits is 32
- More coming soon!
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The information we have on file for 230201628800 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!
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