131438208000
131,438,208,000 is an even composite number composed of six prime numbers multiplied together.
131438208000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and fifty-six divisors.
Prime factorization of 131438208000:
210 × 3 × 53 × 11 × 292 × 37
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 11 × 29 × 29 × 37)See below for interesting mathematical facts about the number 131438208000 from the Numbermatics database.
Names of 131438208000
- Cardinal: 131438208000 can be written as One hundred thirty-one billion, four hundred thirty-eight million, two hundred eight thousand.
Scientific notation
- Scientific notation: 1.31438208 × 1011
Factors of 131438208000
Divisors of 131438208000
- Number of divisors d(n): 1056
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 29 30 32 33 37 40 44 48 50 55 58 60 64 66 74 75 80 87 88 96 100 110 111 116 120 125 128 132 145 148 150 160 165 174 176 185 192 200 220 222 232 240 250 256 264 275 290 296 300 319 320 330 348 352 370 375 384 400 407 435 440 444 464 480 500 512 528 550 555 580 592 600 638 640 660 696 704 725 740 750 768 800 814 825 841 870 880 888 925 928 957 960 1000 1024 1056 1073 1100 1110 1160 1184 1200 1221 1276 1280 1320 1375 1392 1408 1450 1480 1500 1536 1595 1600 1628 1650 1682 1740 1760 1776 1850 1856 1914 1920 2000 2035 2112 2146 2175 2200 2220 2320 2368 2400 2442 2523 2552 2560 2640 2750 2775 2784 2816 2900 2960 3000 3072 3190 3200 3219 3256 3300 3364 3480 3520 3552 3625 3700 3712 3828 3840 4000 4070 4125 4205 4224 4292 4350 4400 4440 4625 4640 4736 4785 4800 4884 5046 5104 5120 5280 5365 5500 5550 5568 5632 5800 5920 6000 6105 6380 6400 6438 6512 6600 6728 6960 7040 7104 7250 7400 7424 7656 7680 7975 8000 8140 8250 8410 8448 8584 8700 8800 8880 9250 9251 9280 9472 9570 9600 9768 10092 10175 10208 10560 10730 10875 11000 11100 11136 11264 11600 11803 11840 12000 12210 12615 12760 12800 12876 13024 13200 13456 13875 13920 14080 14208 14500 14800 14848 15312 15360 15950 16000 16095 16280 16500 16820 16896 17168 17400 17600 17760 18500 18502 18560 18944 19140 19200 19536 20184 20350 20416 21025 21120 21460 21750 22000 22200 22272 23200 23606 23680 23925 24000 24420 25230 25520 25600 25752 26048 26400 26825 26912 27750 27753 27840 28160 28416 29000 29600 29696 30525 30624 31117 31900 32000 32190 32560 33000 33640 33792 34336 34800 35200 35409 35520 37000 37004 37120 37888 38280 38400 39072 39875 40368 40700 40832 42050 42240 42920 43500 44000 44400 44544 46255 46400 47212 47360 47850 48000 48840 50460 50875 51040 51504 52096 52800 53650 53824 55500 55506 55680 56320 56832 58000 59015 59200 61050 61248 62234 63075 63800 64000 64380 65120 66000 67280 68672 69600 70400 70818 71040 74000 74008 74240 76560 76800 78144 79750 80475 80736 81400 81664 84100 84480 85840 87000 88000 88800 89088 92510 92800 93351 94424 94720 95700 96000 97680 100920 101750 102080 103008 104192 105125 105600 107300 107648 111000 111012 111360 113664 116000 118030 118400 119625 122100 122496 124468 126150 127600 128000 128760 130240 132000 134125 134560 137344 138765 139200 140800 141636 142080 148000 148016 148480 152625 153120 155585 156288 159500 160950 161472 162800 163328 168200 168960 171680 174000 176000 177045 177600 185020 185600 186702 188848 189440 191400 192000 195360 201840 203500 204160 206016 208384 210250 211200 214600 215296 222000 222024 222720 231275 232000 236060 236800 239250 244200 244992 248936 252300 255200 257520 260480 264000 268250 269120 274688 277530 278400 281600 283272 284160 295075 296000 296032 305250 306240 311170 312576 315375 319000 321900 322944 325600 326656 336400 342287 343360 348000 352000 354090 355200 370040 371200 373404 377696 382800 384000 390720 402375 403680 407000 408320 412032 416768 420500 422400 429200 430592 444000 444048 445440 462550 464000 466755 472120 473600 478500 488400 489984 497872 504600 510400 515040 520960 528000 536500 538240 549376 555060 556800 566544 568320 590150 592000 592064 610500 612480 622340 625152 630750 638000 643800 645888 651200 672800 684574 686720 693825 696000 704000 708180 710400 740080 742400 746808 755392 765600 777925 781440 804750 807360 814000 816640 824064 841000 844800 858400 861184 885225 888000 888096 925100 928000 933510 944240 947200 957000 976800 979968 995744 1009200 1020800 1026861 1030080 1041920 1056000 1073000 1076480 1098752 1110120 1113600 1133088 1156375 1180300 1184000 1184128 1221000 1224960 1244680 1250304 1261500 1276000 1287600 1291776 1302400 1345600 1369148 1373440 1387650 1392000 1408000 1416360 1420800 1475375 1480160 1493616 1510784 1531200 1555850 1562880 1609500 1614720 1628000 1633280 1648128 1682000 1711435 1716800 1770450 1776000 1776192 1850200 1856000 1867020 1888480 1914000 1953600 1991488 2018400 2041600 2053722 2060160 2083840 2112000 2146000 2152960 2220240 2227200 2266176 2312750 2333775 2360600 2368000 2368256 2442000 2449920 2489360 2523000 2552000 2575200 2583552 2604800 2691200 2738296 2746880 2775300 2784000 2832720 2841600 2950750 2960320 2987232 3021568 3062400 3111700 3125760 3219000 3229440 3256000 3296256 3364000 3422870 3433600 3469125 3540900 3552000 3552384 3700400 3712000 3734040 3776960 3828000 3889625 3907200 3982976 4036800 4083200 4107444 4120320 4224000 4292000 4305920 4426125 4440480 4532352 4625500 4667550 4721200 4736000 4736512 4884000 4899840 4978720 5046000 5104000 5134305 5150400 5209600 5382400 5476592 5493760 5550600 5568000 5665440 5901500 5920640 5974464 6043136 6124800 6223400 6251520 6438000 6458880 6512000 6728000 6845740 6867200 6938250 7081800 7104000 7104768 7400800 7468080 7553920 7656000 7779250 7814400 7965952 8073600 8166400 8214888 8240640 8557175 8584000 8852250 8880960 9064704 9251000 9335100 9442400 9473024 9768000 9957440 10092000 10208000 10268610 10300800 10419200 10764800 10953184 11101200 11136000 11330880 11668875 11803000 11841280 11948928 12086272 12249600 12446800 12876000 12917760 13024000 13456000 13691480 13734400 13876500 14163600 14208000 14209536 14801600 14936160 15107840 15312000 15558500 15628800 15931904 16147200 16429776 16481280 17114350 17168000 17704500 17761920 18129408 18502000 18670200 18884800 19536000 19914880 20184000 20416000 20537220 20601600 21529600 21906368 22202400 22661760 23337750 23606000 23682560 23897856 24499200 24893600 25671525 25752000 26048000 26912000 27382960 27468800 27753000 28327200 28419072 29603200 29872320 30215680 30624000 31117000 31257600 31863808 32294400 32859552 34228700 34336000 35409000 35523840 36258816 37004000 37340400 37769600 39072000 39829760 40368000 40832000 41074440 41203200 42785875 43812736 44404800 45323520 46675500 47212000 47365120 47795712 49787200 51343050 51504000 52096000 53824000 54765920 55506000 56654400 59206400 59744640 60431360 61248000 62234000 64588800 65719104 68457400 68672000 70818000 71047680 74008000 74680800 75539200 78144000 79659520 80736000 82148880 82406400 85571750 87625472 88809600 90647040 93351000 94424000 95591424 99574400 102686100 103008000 107648000 109531840 111012000 113308800 118412800 119489280 122496000 124468000 128357625 131438208 136914800 137344000 141636000 142095360 148016000 149361600 151078400 156288000 159319040 161472000 164297760 171143500 175250944 177619200 181294080 186702000 188848000 199148800 205372200 206016000 219063680 222024000 226617600 236825600 238978560 248936000 256715250 262876416 273829600 283272000 296032000 298723200 302156800 322944000 328595520 342287000 350501888 355238400 373404000 377696000 398297600 410744400 412032000 438127360 444048000 453235200 477957120 497872000 513430500 525752832 547659200 566544000 592064000 597446400 657191040 684574000 710476800 746808000 755392000 796595200 821488800 876254720 888096000 906470400 995744000 1026861000 1051505664 1095318400 1133088000 1184128000 1194892800 1314382080 1369148000 1493616000 1510784000 1642977600 1752509440 1776192000 1991488000 2053722000 2190636800 2266176000 2389785600 2628764160 2738296000 2987232000 3285955200 3552384000 3982976000 4107444000 4381273600 4532352000 5257528320 5476592000 5974464000 6571910400 8214888000 8762547200 10953184000 11948928000 13143820800 16429776000 21906368000 26287641600 32859552000 43812736000 65719104000 131438208000
- Sum of all divisors σ(n): 507324025728
- Sum of proper divisors (its aliquot sum) s(n): 375885817728
- 131438208000 is an abundant number, because the sum of its proper divisors (375885817728) is greater than itself. Its abundance is 244447609728
Bases of 131438208000
- Binary: 11110100110100101001111100100000000002
- Hexadecimal: 0x1E9A53E400
- Base-36: 1ODQWYDC
Squares and roots of 131438208000
- 131438208000 squared (1314382080002) is 17276002522251264000000
- 131438208000 cubed (1314382080003) is 2270726812928186265894912000000000
-
The
square root of 131438208000 is 362544.0773202619 -
The
cube root of 131438208000 is 5084.4097531153
Scales and comparisons
How big is 131438208000?- 131,438,208,000 seconds is equal to 4,179 years, 17 weeks, 13 hours, 20 minutes.
-
To count from 1 to 131,438,208,000 would take you about eight thousand, three hundred fifty-eight 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 131438208000 cubic inches would be around 423.7 feet tall.
Recreational maths with 131438208000
- 131438208000 backwards is 000802834131
- 131438208000 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 131438208000's digits is 30
- More coming soon!
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The information we have on file for 131438208000 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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