230357131200
230,357,131,200 is an even composite number composed of six prime numbers multiplied together.
230357131200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred forty divisors.
Prime factorization of 230357131200:
26 × 34 × 52 × 7 × 31 × 8191
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 31 × 8191)See below for interesting mathematical facts about the number 230357131200 from the Numbermatics database.
Names of 230357131200
- Cardinal: 230357131200 can be written as Two hundred thirty billion, three hundred fifty-seven million, one hundred thirty-one thousand, two hundred.
Scientific notation
- Scientific notation: 2.303571312 × 1011
Factors of 230357131200
Divisors of 230357131200
- Number of divisors d(n): 840
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 31 32 35 36 40 42 45 48 50 54 56 60 62 63 64 70 72 75 80 81 84 90 93 96 100 105 108 112 120 124 126 135 140 144 150 155 160 162 168 175 180 186 189 192 200 210 216 217 224 225 240 248 252 270 279 280 288 300 310 315 320 324 336 350 360 372 378 400 405 420 432 434 448 450 465 480 496 504 525 540 558 560 567 576 600 620 630 648 651 672 675 700 720 744 756 775 800 810 837 840 864 868 900 930 945 960 992 1008 1050 1080 1085 1116 1120 1134 1200 1240 1260 1296 1302 1344 1350 1395 1400 1440 1488 1512 1550 1575 1600 1620 1674 1680 1728 1736 1800 1860 1890 1953 1984 2016 2025 2100 2160 2170 2232 2240 2268 2325 2400 2480 2511 2520 2592 2604 2700 2790 2800 2835 2880 2976 3024 3100 3150 3240 3255 3348 3360 3472 3600 3720 3780 3906 4032 4050 4185 4200 4320 4340 4464 4536 4650 4725 4800 4960 5022 5040 5184 5208 5400 5425 5580 5600 5670 5859 5952 6048 6200 6300 6480 6510 6696 6720 6944 6975 7200 7440 7560 7812 8100 8191 8370 8400 8640 8680 8928 9072 9300 9450 9765 9920 10044 10080 10416 10800 10850 11160 11200 11340 11718 12096 12400 12555 12600 12960 13020 13392 13888 13950 14175 14400 14880 15120 15624 16200 16275 16382 16740 16800 17360 17577 17856 18144 18600 18900 19530 20088 20160 20832 20925 21600 21700 22320 22680 23436 24573 24800 25110 25200 25920 26040 26784 27900 28350 29295 29760 30240 31248 32400 32550 32764 33480 33600 34720 35154 36288 37200 37800 39060 40176 40955 41664 41850 43200 43400 44640 45360 46872 48825 49146 49600 50220 50400 52080 53568 55800 56700 57337 58590 60480 62496 62775 64800 65100 65528 66960 69440 70308 73719 74400 75600 78120 80352 81910 83700 86800 87885 89280 90720 93744 97650 98292 100440 100800 104160 111600 113400 114674 117180 122865 124992 125550 129600 130200 131056 133920 140616 146475 147438 148800 151200 156240 160704 163820 167400 172011 173600 175770 181440 187488 195300 196584 200880 204775 208320 221157 223200 226800 229348 234360 245730 251100 253921 260400 262112 267840 281232 286685 292950 294876 302400 312480 327640 334800 344022 347200 351540 368595 374976 390600 393168 401760 409550 439425 442314 446400 453600 458696 468720 491460 502200 507842 516033 520800 524224 562464 573370 585900 589752 614325 624960 655280 663471 669600 688044 703080 737190 761763 781200 786336 803520 819100 860055 878850 884628 907200 917392 937440 982920 1004400 1015684 1032066 1041600 1105785 1124928 1146740 1171800 1179504 1228650 1269605 1310560 1326942 1339200 1376088 1406160 1433425 1474380 1523526 1548099 1562400 1572672 1638200 1720110 1757700 1769256 1777447 1834784 1842975 1874880 1965840 2008800 2031368 2064132 2211570 2285289 2293480 2343600 2359008 2457300 2539210 2580165 2621120 2653884 2752176 2812320 2866850 2948760 3047052 3096198 3124800 3276400 3317355 3440220 3515400 3538512 3554894 3669568 3685950 3808815 3931680 4017600 4062736 4128264 4300275 4423140 4570578 4586960 4644297 4687200 4718016 4914600 5078420 5160330 5307768 5332341 5504352 5528925 5624640 5733700 5897520 6094104 6192396 6348025 6552800 6634710 6855867 6880440 7030800 7077024 7109788 7371900 7617630 7740495 7863360 8125472 8256528 8600550 8846280 8887235 9141156 9173920 9288594 9374400 9829200 10156840 10320660 10615536 10664682 11008704 11057850 11426445 11467400 11795040 12188208 12384792 12696050 12900825 13105600 13269420 13711734 13760880 14061600 14154048 14219576 14743800 15235260 15480990 15997023 16250944 16513056 16586775 17201100 17692560 17774470 18282312 18347840 18577188 19044075 19658400 20313680 20567601 20641320 21231072 21329364 22115700 22852890 22934800 23221485 23590080 24376416 24769584 25392100 25801650 26538840 26661705 27423468 27521760 28123200 28439152 29487600 30470520 30961980 31994046 33026112 33173550 34279335 34402200 35385120 35548940 36564624 37154376 38088150 38702475 39316800 40627360 41135202 41282640 42462144 42658728 44231400 44436175 45705780 45869600 46442970 47991069 48752832 49539168 50784200 51603300 53077680 53323410 54846936 55043520 56878304 57132225 58975200 60941040 61923960 63988092 66347100 68558670 68804400 70770240 71097880 73129248 74308752 76176300 77404950 79985115 81254720 82270404 82565280 85317456 88462800 88872350 91411560 91739200 92885940 95982138 99078336 101568400 102838005 103206600 106155360 106646820 109693872 113756608 114264450 116107425 117950400 121882080 123847920 127976184 132694200 133308525 137117340 137608800 142195760 143973207 146258496 148617504 152352600 154809900 159970230 164540808 165130560 170634912 171396675 176925600 177744700 182823120 185771880 191964276 203136800 205676010 206413200 212310720 213293640 219387744 228528900 232214850 239955345 243764160 247695840 255952368 265388400 266617050 274234680 275217600 284391520 287946414 297235008 304705200 309619800 319940460 329081616 341269824 342793350 353851200 355489400 365646240 371543760 383928552 399925575 406273600 411352020 412826400 426587280 438775488 457057800 464429700 479910690 495391680 511904736 514190025 530776800 533234100 548469360 568783040 575892828 609410400 619239600 639880920 658163232 685586700 710978800 719866035 731292480 743087520 767857104 799851150 822704040 825652800 853174560 914115600 928859400 959821380 1023809472 1028380050 1061553600 1066468200 1096938720 1151785656 1199776725 1218820800 1238479200 1279761840 1316326464 1371173400 1421957600 1439732070 1486175040 1535714208 1599702300 1645408080 1706349120 1828231200 1857718800 1919642760 2056760100 2132936400 2193877440 2303571312 2399553450 2476958400 2559523680 2742346800 2843915200 2879464140 3071428416 3199404600 3290816160 3599330175 3656462400 3715437600 3839285520 4113520200 4265872800 4607142624 4799106900 5119047360 5484693600 5758928280 6398809200 6581632320 7198660350 7430875200 7678571040 8227040400 8531745600 9214285248 9598213800 10969387200 11517856560 12797618400 14397320700 15357142080 16454080800 19196427600 23035713120 25595236800 28794641400 32908161600 38392855200 46071426240 57589282800 76785710400 115178565600 230357131200
- Sum of all divisors σ(n): 999034978304
- Sum of proper divisors (its aliquot sum) s(n): 768677847104
- 230357131200 is an abundant number, because the sum of its proper divisors (768677847104) is greater than itself. Its abundance is 538320715904
Bases of 230357131200
- Binary: 110101101000100101101011011111110000002
- Hexadecimal: 0x35A25ADFC0
- Base-36: 2XTOOS00
Squares and roots of 230357131200
- 230357131200 squared (2303571312002) is 53064407894694013440000
- 230357131200 cubed (2303571312003) is 12223764771448344637852643328000000
-
The
square root of 230357131200 is 479955.3429226515 -
The
cube root of 230357131200 is 6130.0952183679
Scales and comparisons
How big is 230357131200?- 230,357,131,200 seconds is equal to 7,324 years, 33 weeks, 3 days, 12 hours.
-
To count from 1 to 230,357,131,200 would take you about fourteen thousand, six hundred forty-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 230357131200 cubic inches would be around 510.8 feet tall.
Recreational maths with 230357131200
- 230357131200 backwards is 002131753032
- 230357131200 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 230357131200's digits is 27
- More coming soon!
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