230948512200
230,948,512,200 is an even composite number composed of six prime numbers multiplied together.
What does the number 230948512200 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1440 divisors.
230948512200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 230948512200:
23 × 39 × 52 × 7 × 172 × 29
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 17 × 17 × 29)See below for interesting mathematical facts about the number 230948512200 from the Numbermatics database.
Names of 230948512200
- Cardinal: 230948512200 can be written as Two hundred thirty billion, nine hundred forty-eight million, five hundred twelve thousand, two hundred.
Scientific notation
- Scientific notation: 2.309485122 × 1011
Factors of 230948512200
Divisors of 230948512200
- Number of divisors d(n): 1440
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 17 18 20 21 24 25 27 28 29 30 34 35 36 40 42 45 50 51 54 56 58 60 63 68 70 72 75 81 84 85 87 90 100 102 105 108 116 119 120 126 135 136 140 145 150 153 162 168 170 174 175 180 189 200 203 204 210 216 225 232 238 243 252 255 261 270 280 289 290 300 306 315 324 340 348 350 357 360 378 405 406 408 420 425 435 450 459 476 486 493 504 510 522 525 540 567 578 580 595 600 609 612 630 648 675 680 696 700 714 725 729 756 765 783 810 812 840 850 867 870 900 918 945 952 972 986 1015 1020 1044 1050 1071 1080 1134 1156 1160 1190 1215 1218 1224 1260 1275 1305 1350 1377 1400 1428 1445 1450 1458 1479 1512 1530 1566 1575 1620 1624 1700 1701 1734 1740 1785 1800 1827 1836 1890 1944 1972 2023 2025 2030 2040 2088 2100 2142 2175 2187 2268 2295 2312 2349 2380 2430 2436 2465 2520 2550 2601 2610 2700 2754 2835 2856 2890 2900 2916 2958 2975 3045 3060 3132 3150 3213 3240 3400 3402 3451 3468 3480 3570 3645 3654 3672 3780 3825 3915 3944 4046 4050 4060 4131 4200 4284 4335 4350 4374 4437 4536 4590 4698 4725 4760 4860 4872 4930 5075 5100 5103 5202 5220 5355 5400 5481 5508 5670 5780 5800 5832 5916 5950 6069 6075 6090 6120 6264 6300 6426 6525 6561 6804 6885 6902 6936 7047 7140 7225 7290 7308 7395 7560 7650 7803 7830 8092 8100 8120 8262 8381 8505 8568 8670 8700 8748 8874 8925 9135 9180 9396 9450 9639 9720 9860 10115 10150 10200 10206 10353 10404 10440 10710 10935 10962 11016 11340 11475 11560 11745 11832 11900 12138 12150 12180 12325 12393 12600 12852 13005 13050 13122 13311 13608 13770 13804 14094 14175 14280 14450 14580 14616 14790 15225 15300 15309 15606 15660 16065 16184 16200 16443 16524 16762 17010 17255 17340 17400 17496 17748 17850 18207 18225 18270 18360 18792 18900 19278 19575 19683 19720 20230 20300 20412 20655 20706 20808 21141 21420 21675 21870 21924 22185 22680 22950 23409 23490 23800 24276 24300 24360 24650 24786 25143 25515 25704 26010 26100 26244 26622 26775 27405 27540 27608 28188 28350 28900 28917 29160 29580 30345 30450 30600 30618 31059 31212 31320 32130 32805 32886 33048 33524 34020 34425 34510 34680 35235 35496 35700 36414 36450 36540 36975 37179 37800 38556 39015 39150 39366 39933 40460 40600 40824 41310 41412 41905 42282 42525 42840 43350 43740 43848 44370 45675 45900 45927 46818 46980 48195 48552 48600 49300 49329 49572 50286 50575 51030 51765 52020 52200 52488 53244 53550 54621 54675 54810 55080 56376 56700 57800 57834 58667 58725 59160 60690 60900 61236 61965 62118 62424 63423 64260 65025 65610 65772 66555 67048 68040 68850 69020 70227 70470 71400 72828 72900 73080 73950 74358 75429 76545 77112 78030 78300 78732 79866 80325 80920 82215 82620 82824 83810 84564 85050 86275 86700 86751 87480 88740 91035 91350 91800 91854 93177 93636 93960 96390 98415 98600 98658 99144 100572 101150 102060 103275 103530 104040 105705 106488 107100 109242 109350 109620 110925 111537 113400 115668 117045 117334 117450 119799 121380 121800 122472 123930 124236 125715 126846 127575 128520 130050 131220 131544 133110 137025 137700 137781 138040 140454 140940 144585 145656 145800 147900 147987 148716 150858 151725 153090 155295 156060 156600 157464 159732 160650 163863 164025 164430 165240 167620 169128 170100 172550 173400 173502 176001 176175 177480 182070 182700 183708 185895 186354 187272 190269 192780 195075 196830 197316 199665 201144 202300 204120 206550 207060 209525 210681 211410 214200 218484 218700 219240 221850 223074 226287 229635 231336 234090 234668 234900 239598 240975 242760 246645 247860 248472 251430 253692 255150 258825 260100 260253 262440 266220 273105 274050 275400 275562 279531 280908 281880 289170 293335 295800 295974 297432 301716 303450 306180 309825 310590 312120 317115 319464 321300 327726 328050 328860 332775 334611 335240 340200 345100 347004 351135 352002 352350 359397 364140 365400 367416 371790 372708 377145 380538 382725 385560 390150 393660 394632 399330 404600 411075 413100 414120 419050 421362 422820 433755 436968 437400 443700 443961 446148 452574 455175 459270 465885 468180 469336 469800 479196 481950 491589 492075 493290 495720 502860 507384 510300 517650 520200 520506 528003 528525 532440 546210 548100 551124 557685 559062 561816 570807 578340 585225 586670 591948 598995 603432 606900 612360 619650 621180 628575 632043 634230 642600 655452 656100 657720 665550 669222 678861 688905 690200 694008 702270 704004 704700 718794 722925 728280 739935 743580 745416 754290 761076 765450 776475 780300 780759 787320 798660 819315 822150 826200 838100 838593 842724 845640 867510 880005 887400 887922 892296 905148 910350 918540 929475 931770 936360 951345 958392 963900 983178 984150 986580 998325 1005720 1020600 1035300 1041012 1053405 1056006 1057050 1078191 1092420 1096200 1102248 1115370 1118124 1131435 1141614 1148175 1156680 1170450 1173340 1183896 1197990 1213800 1233225 1239300 1242360 1257150 1264086 1268460 1301265 1310904 1312200 1331100 1331883 1338444 1357722 1365525 1377810 1397655 1404540 1408008 1409400 1437588 1445850 1466675 1474767 1479870 1487160 1508580 1522152 1530900 1552950 1560600 1561518 1584009 1585575 1597320 1638630 1644300 1673055 1676200 1677186 1685448 1735020 1755675 1760010 1775844 1796985 1810296 1820700 1837080 1858950 1863540 1885725 1896129 1902690 1927800 1966356 1968300 1973160 1996650 2036583 2070600 2082024 2106810 2112012 2114100 2156382 2168775 2184840 2219805 2230740 2236248 2262870 2283228 2296350 2329425 2340900 2342277 2346680 2395980 2457945 2466450 2478600 2514300 2515779 2528172 2536920 2602530 2640015 2662200 2663766 2676888 2715444 2731050 2755620 2788425 2795310 2809080 2854035 2875176 2891700 2933350 2949534 2959740 2994975 3017160 3061800 3105900 3123036 3160215 3168018 3171150 3234573 3277260 3288600 3346110 3354372 3394305 3444525 3470040 3511350 3520020 3551688 3593970 3641400 3699675 3717900 3727080 3771450 3792258 3805380 3903795 3932712 3936600 3993300 3995649 4073166 4096575 4192965 4213620 4224024 4228200 4312764 4337550 4400025 4424301 4439610 4461480 4525740 4566456 4592700 4658850 4681800 4684554 4752027 4756725 4791960 4915890 4932900 5028600 5031558 5056344 5205060 5267025 5280030 5327532 5390955 5430888 5462100 5511240 5576850 5590620 5657175 5688387 5708070 5783400 5866700 5899068 5919480 5989950 6109749 6211800 6246072 6320430 6336036 6342300 6469146 6506325 6554520 6659415 6692220 6708744 6788610 6889050 6988275 7022700 7040040 7187940 7373835 7399350 7435800 7542900 7547337 7584516 7610760 7807590 7920045 7986600 7991298 8146332 8193150 8365275 8385930 8427240 8625528 8675100 8800050 8848602 8879220 8984925 9051480 9185400 9317700 9369108 9480645 9504054 9513450 9703719 9831780 9865800 10063116 10182915 10410120 10534050 10560060 10655064 10781910 10924200 11099025 11153700 11181240 11314350 11376774 11416140 11711385 11733400 11798136 11979900 12219498 12289725 12578895 12640860 12672072 12684600 12938292 13012650 13200075 13272903 13318830 13384440 13577220 13778100 13976550 14045400 14256081 14270175 14375880 14747670 14798700 15085800 15094674 15169032 15615180 15801075 15840090 15982596 16172865 16292664 16386300 16730550 16771860 16971525 17350200 17600100 17697204 17758440 17969850 18329247 18635400 18738216 18961290 19008108 19026900 19407438 19518975 19663560 19978245 20126232 20365830 20964825 21068100 21120120 21563820 22121505 22198050 22307400 22628700 22642011 22753548 22832280 23422770 23760135 23959800 24438996 24579450 25157790 25281720 25876584 26025300 26400150 26545806 26637660 26954775 27154440 27556200 27953100 28441935 28512162 28540350 29495340 29597400 30189348 30548745 31230360 31602150 31680180 31965192 32345730 32772600 33297075 33461100 33543720 33943050 35200200 35394408 35939700 36658494 36869175 37736685 37922580 38016216 38053800 38814876 39037950 39600225 39818709 39956490 40731660 41929650 42136200 42768243 43127640 44243010 44396100 45257400 45284022 45507096 46845540 47403225 47520270 48518595 48877992 49158900 50315580 50914575 52050600 52800300 53091612 53275320 53909550 54987741 55906200 56883870 57024324 57080700 58556925 58990680 60378696 61097490 62894475 63204300 63360360 64691460 66364515 66594150 66922200 67886100 67926033 71280405 71879400 73316988 73738350 75473370 75845160 77629752 78075900 79200450 79637418 79912980 80864325 81463320 83859300 85536486 88486020 88792200 90568044 91646235 93691080 94806450 95040540 97037190 98317800 99891225 100631160 101829150 105600600 106183224 107819100 109975482 110607525 113210055 113767740 114048648 114161400 117113850 118800675 122194980 125788950 126408600 128304729 129382920 132729030 133188300 135772200 135852066 142209675 142560810 146633976 147476700 150946740 152743725 156151800 158400900 159274836 159825960 161728650 164963223 167718600 171072972 176972040 181136088 183292470 188683425 189612900 190081080 194074380 199093545 199782450 203658300 213841215 215638200 219950964 221215050 226420110 227535480 234227700 237601350 242592975 244389960 251577900 256609458 265458060 266376600 271704132 274938705 284419350 285121620 294953400 301893480 305487450 316801800 318549672 323457300 329926446 331822575 339630165 342145944 356402025 366584940 377366850 379225800 384914187 388148760 398187090 399564900 407316600 427682430 439901928 442430100 452840220 458231175 468455400 475202700 485185950 503155800 513218916 530916120 543408264 549877410 566050275 568838700 570243240 610974900 641523645 646914600 659852892 663645150 679260330 712804050 733169880 754733700 769828374 796374180 799129800 824816115 855364860 884860200 905680440 916462350 950405400 970371900 995467725 1026437832 1069206075 1099754820 1132100550 1137677400 1154742561 1221949800 1283047290 1319705784 1327290300 1358520660 1374693525 1425608100 1509467400 1539656748 1592748360 1649632230 1698150825 1710729720 1832924700 1924570935 1940743800 1990935450 2138412150 2199509640 2264201100 2309485122 2566094580 2654580600 2717041320 2749387050 2851216200 3079313496 3207618225 3299264460 3396301650 3665849400 3849141870 3981870900 4124080575 4276824300 4528402200 4618970244 5132189160 5498774100 5773712805 6415236450 6598528920 6792603300 7698283740 7963741800 8248161150 8553648600 9237940488 9622854675 10997548200 11547425610 12830472900 13585206600 15396567480 16496322300 19245709350 23094851220 25660945800 28868564025 32992644600 38491418700 46189702440 57737128050 76982837400 115474256100 230948512200
- Sum of all divisors σ(n): 1011527668800
- Sum of proper divisors (its aliquot sum) s(n): 780579156600
- 230948512200 is an abundant number, because the sum of its proper divisors (780579156600) is greater than itself. Its abundance is 549630644400
Bases of 230948512200
- Binary: 110101110001011001101010100001110010002
- Hexadecimal: 0x35C59AA1C8
- Base-36: 2Y3GS4I0
Squares and roots of 230948512200
- 230948512200 squared (2309485122002) is 53337215287393548840000
- 230948512200 cubed (2309485122003) is 12318150515514635520476035848000000
-
The
square root of 230948512200 is 480571.0272165813 -
The
cube root of 230948512200 is 6135.3365350031
Scales and comparisons
How big is 230948512200?- 230,948,512,200 seconds is equal to 7,343 years, 23 weeks, 2 days, 4 hours, 30 minutes.
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To count from 1 to 230,948,512,200 would take you about fourteen thousand, six hundred eighty-six 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 230948512200 cubic inches would be around 511.3 feet tall.
Recreational maths with 230948512200
- 230948512200 backwards is 002215849032
- 230948512200 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 230948512200's digits is 36
- More coming soon!
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The information we have on file for 230948512200 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 230948512200, math, Factors of 230948512200, curriculum, school, college, exams, university, Prime factorization of 230948512200, STEM, science, technology, engineering, physics, economics, calculator, two hundred thirty billion, nine hundred forty-eight million, five hundred twelve thousand, two hundred.