238628096000
238,628,096,000 is an even composite number composed of six prime numbers multiplied together.
238628096000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 238628096000:
211 × 53 × 7 × 37 × 59 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 37 × 59 × 61)See below for interesting mathematical facts about the number 238628096000 from the Numbermatics database.
Names of 238628096000
- Cardinal: 238628096000 can be written as Two hundred thirty-eight billion, six hundred twenty-eight million, ninety-six thousand.
Scientific notation
- Scientific notation: 2.38628096 × 1011
Factors of 238628096000
Divisors of 238628096000
- Number of divisors d(n): 768
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 37 40 50 56 59 61 64 70 74 80 100 112 118 122 125 128 140 148 160 175 185 200 224 236 244 250 256 259 280 295 296 305 320 350 370 400 413 427 448 472 488 500 512 518 560 590 592 610 640 700 740 800 826 854 875 896 925 944 976 1000 1024 1036 1120 1180 1184 1220 1280 1295 1400 1475 1480 1525 1600 1652 1708 1750 1792 1850 1888 1952 2000 2048 2065 2072 2135 2183 2240 2257 2360 2368 2440 2560 2590 2800 2950 2960 3050 3200 3304 3416 3500 3584 3599 3700 3776 3904 4000 4130 4144 4270 4366 4480 4514 4625 4720 4736 4880 5120 5180 5600 5900 5920 6100 6400 6475 6608 6832 7000 7168 7198 7375 7400 7552 7625 7808 8000 8260 8288 8540 8732 8960 9028 9250 9440 9472 9760 10240 10325 10360 10675 10915 11200 11285 11800 11840 12200 12800 12950 13216 13664 14000 14336 14396 14750 14800 15104 15250 15281 15616 15799 16000 16520 16576 17080 17464 17920 17995 18056 18500 18880 18944 19520 20650 20720 21350 21830 22400 22570 23600 23680 24400 25193 25600 25900 26432 27328 28000 28792 29500 29600 30208 30500 30562 31232 31598 32000 32375 33040 33152 34160 34928 35840 35990 36112 37000 37760 37888 39040 41300 41440 42700 43660 44800 45140 47200 47360 48800 50386 51200 51625 51800 52864 53375 54575 54656 56000 56425 57584 59000 59200 60416 61000 61124 62464 63196 64000 64750 66080 66304 68320 69856 71680 71980 72224 74000 75520 75776 76405 78080 78995 82600 82880 85400 87320 89600 89975 90280 94400 94720 97600 100772 103250 103600 105728 106750 109150 109312 112000 112850 115168 118000 118400 120832 122000 122248 124928 125965 126392 128000 129500 132160 132608 133163 136640 139712 143960 144448 148000 151040 152810 156160 157990 165200 165760 170800 174640 179200 179950 180560 188800 189440 195200 201544 206500 207200 211456 213500 218300 218624 224000 225700 230336 236000 236800 244000 244496 251930 252784 256000 259000 264320 265216 266326 272875 273280 279424 282125 287920 288896 296000 302080 305620 312320 315980 330400 331520 341600 349280 358400 359900 361120 377600 378880 382025 390400 394975 403088 413000 414400 422912 427000 436600 437248 448000 449875 451400 460672 472000 473600 488000 488992 503860 505568 518000 528640 530432 532652 545750 546560 558848 564250 575840 577792 592000 604160 611240 624640 629825 631960 660800 663040 665815 683200 698560 719800 722240 755200 764050 780800 789950 806176 826000 828800 845824 854000 873200 874496 896000 899750 902800 921344 932141 944000 947200 976000 977984 1007720 1011136 1036000 1057280 1065304 1091500 1093120 1117696 1128500 1151680 1155584 1184000 1222480 1259650 1263920 1321600 1326080 1331630 1366400 1397120 1439600 1444480 1510400 1528100 1561600 1579900 1612352 1652000 1657600 1708000 1746400 1792000 1799500 1805600 1842688 1864282 1888000 1894400 1910125 1952000 1955968 1974875 2015440 2022272 2072000 2114560 2130608 2183000 2186240 2235392 2257000 2303360 2311168 2368000 2444960 2519300 2527840 2643200 2652160 2663260 2732800 2794240 2879200 2888960 3020800 3056200 3123200 3149125 3159800 3224704 3304000 3315200 3329075 3416000 3492800 3599000 3611200 3685376 3728564 3776000 3820250 3904000 3911936 3949750 4030880 4044544 4144000 4229120 4261216 4366000 4372480 4470784 4514000 4606720 4622336 4660705 4736000 4889920 5038600 5055680 5286400 5326520 5465600 5588480 5758400 5777920 6112400 6298250 6319600 6449408 6608000 6630400 6658150 6832000 6985600 7198000 7222400 7370752 7457128 7552000 7640500 7808000 7823872 7899500 8061760 8089088 8288000 8522432 8732000 9028000 9213440 9321410 9472000 9779840 10077200 10111360 10572800 10653040 10931200 11176960 11516800 11555840 12224800 12596500 12639200 12898816 13216000 13260800 13316300 13664000 13971200 14396000 14444800 14914256 15104000 15281000 15616000 15647744 15799000 16123520 16178176 16576000 16645375 17044864 17464000 18056000 18426880 18642820 19559680 20154400 20222720 21145600 21306080 21862400 22353920 23033600 23111680 23303525 24449600 25193000 25278400 25797632 26432000 26632600 27328000 27942400 28792000 28889600 29828512 30562000 31295488 31598000 32247040 32356352 33152000 33290750 34089728 34928000 36112000 36853760 37285640 39119360 40308800 40445440 42612160 46067200 46607050 48899200 50386000 50556800 51595264 52864000 53265200 54656000 55884800 57584000 57779200 59657024 61124000 63196000 64494080 66304000 66581500 68179456 69856000 72224000 74571280 78238720 80617600 80890880 85224320 92134400 93214100 97798400 100772000 101113600 105728000 106530400 109312000 111769600 115168000 115558400 116517625 119314048 122248000 126392000 128988160 133163000 136358912 139712000 144448000 149142560 156477440 161235200 161781760 170448640 184268800 186428200 195596800 201544000 202227200 213060800 230336000 233035250 238628096 244496000 252784000 257976320 266326000 272717824 279424000 288896000 298285120 322470400 340897280 372856400 391193600 403088000 404454400 426121600 460672000 466070500 477256192 488992000 505568000 532652000 558848000 577792000 596570240 644940800 681794560 745712800 782387200 806176000 808908800 852243200 921344000 932141000 954512384 977984000 1011136000 1065304000 1193140480 1289881600 1363589120 1491425600 1612352000 1704486400 1864282000 1909024768 1955968000 2022272000 2130608000 2386280960 2982851200 3224704000 3408972800 3728564000 3911936000 4044544000 4261216000 4772561920 5965702400 6449408000 6817945600 7457128000 8522432000 9545123840 11931404800 14914256000 17044864000 23862809600 29828512000 34089728000 47725619200 59657024000 119314048000 238628096000
- Sum of all divisors σ(n): 722428761600
- Sum of proper divisors (its aliquot sum) s(n): 483800665600
- 238628096000 is an abundant number, because the sum of its proper divisors (483800665600) is greater than itself. Its abundance is 245172569600
Bases of 238628096000
- Binary: 110111100011110101011111001000000000002
- Hexadecimal: 0x378F57C800
- Base-36: 31MH09A8
Squares and roots of 238628096000
- 238628096000 squared (2386280960002) is 56943368200585216000000
- 238628096000 cubed (2386280960003) is 13588287533532596179828736000000000
-
The
square root of 238628096000 is 488495.7481902991 -
The
cube root of 238628096000 is 6202.6011978021
Scales and comparisons
How big is 238628096000?- 238,628,096,000 seconds is equal to 7,587 years, 33 weeks, 6 hours, 13 minutes, 20 seconds.
-
To count from 1 to 238,628,096,000 would take you about fifteen thousand, one hundred seventy-five 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 238628096000 cubic inches would be around 516.9 feet tall.
Recreational maths with 238628096000
- 238628096000 backwards is 000690826832
- The number of decimal digits it has is: 12
- The sum of 238628096000's digits is 44
- More coming soon!
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