138034176000
138,034,176,000 is an even composite number composed of five prime numbers multiplied together.
138034176000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eight hundred ninety-six divisors.
Prime factorization of 138034176000:
213 × 3 × 53 × 73 × 131
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 7 × 7 × 131)See below for interesting mathematical facts about the number 138034176000 from the Numbermatics database.
Names of 138034176000
- Cardinal: 138034176000 can be written as One hundred thirty-eight billion, thirty-four million, one hundred seventy-six thousand.
Scientific notation
- Scientific notation: 1.38034176 × 1011
Factors of 138034176000
Divisors of 138034176000
- Number of divisors d(n): 896
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 49 50 56 60 64 70 75 80 84 96 98 100 105 112 120 125 128 131 140 147 150 160 168 175 192 196 200 210 224 240 245 250 256 262 280 294 300 320 336 343 350 375 384 392 393 400 420 448 480 490 500 512 524 525 560 588 600 640 655 672 686 700 735 750 768 784 786 800 840 875 896 917 960 980 1000 1024 1029 1048 1050 1120 1176 1200 1225 1280 1310 1344 1372 1400 1470 1500 1536 1568 1572 1600 1680 1715 1750 1792 1834 1920 1960 1965 2000 2048 2058 2096 2100 2240 2352 2400 2450 2560 2620 2625 2688 2744 2751 2800 2940 3000 3072 3136 3144 3200 3275 3360 3430 3500 3584 3668 3675 3840 3920 3930 4000 4096 4116 4192 4200 4480 4585 4704 4800 4900 5120 5145 5240 5250 5376 5488 5502 5600 5880 6000 6125 6144 6272 6288 6400 6419 6550 6720 6860 7000 7168 7336 7350 7680 7840 7860 8000 8192 8232 8384 8400 8575 8960 9170 9408 9600 9800 9825 10240 10290 10480 10500 10752 10976 11004 11200 11760 12000 12250 12288 12544 12576 12800 12838 13100 13440 13720 13755 14000 14336 14672 14700 15360 15680 15720 16000 16375 16464 16768 16800 17150 17920 18340 18375 18816 19200 19257 19600 19650 20480 20580 20960 21000 21504 21952 22008 22400 22925 23520 24000 24500 24576 25088 25152 25600 25676 25725 26200 26880 27440 27510 28000 28672 29344 29400 30720 31360 31440 32000 32095 32750 32928 33536 33600 34300 35840 36680 36750 37632 38400 38514 39200 39300 40960 41160 41920 42000 42875 43008 43904 44016 44800 44933 45850 47040 48000 49000 49125 50176 50304 51200 51352 51450 52400 53760 54880 55020 56000 57344 58688 58800 61440 62720 62880 64000 64190 65500 65856 67072 67200 68600 68775 71680 73360 73500 75264 76800 77028 78400 78600 82320 83840 84000 85750 86016 87808 88032 89600 89866 91700 94080 96000 96285 98000 98250 100352 100608 102400 102704 102900 104800 107520 109760 110040 112000 114625 117376 117600 122880 125440 125760 128000 128380 128625 131000 131712 134144 134400 134799 137200 137550 143360 146720 147000 150528 153600 154056 156800 157200 160475 164640 167680 168000 171500 172032 175616 176064 179200 179732 183400 188160 192000 192570 196000 196500 200704 201216 204800 205408 205800 209600 215040 219520 220080 224000 224665 229250 234752 235200 250880 251520 256000 256760 257250 262000 263424 268288 268800 269598 274400 275100 286720 293440 294000 301056 307200 308112 313600 314400 320950 329280 335360 336000 343000 343875 351232 352128 358400 359464 366800 376320 384000 385140 392000 393000 401408 402432 410816 411600 419200 430080 439040 440160 448000 449330 458500 469504 470400 481425 501760 503040 512000 513520 514500 524000 526848 536576 537600 539196 548800 550200 586880 588000 602112 614400 616224 627200 628800 641900 658560 670720 672000 673995 686000 687750 702464 704256 716800 718928 733600 752640 768000 770280 784000 786000 802375 804864 821632 823200 838400 860160 878080 880320 896000 898660 917000 939008 940800 962850 1003520 1006080 1024000 1027040 1029000 1048000 1053696 1073152 1075200 1078392 1097600 1100400 1123325 1173760 1176000 1204224 1232448 1254400 1257600 1283800 1317120 1341440 1344000 1347990 1372000 1375500 1404928 1408512 1433600 1437856 1467200 1505280 1536000 1540560 1568000 1572000 1604750 1609728 1643264 1646400 1676800 1756160 1760640 1792000 1797320 1834000 1878016 1881600 1925700 2007040 2012160 2054080 2058000 2096000 2107392 2150400 2156784 2195200 2200800 2246650 2347520 2352000 2407125 2464896 2508800 2515200 2567600 2634240 2682880 2688000 2695980 2744000 2751000 2809856 2817024 2875712 2934400 3010560 3072000 3081120 3136000 3144000 3209500 3219456 3286528 3292800 3353600 3369975 3512320 3521280 3584000 3594640 3668000 3756032 3763200 3851400 4024320 4108160 4116000 4192000 4214784 4300800 4313568 4390400 4401600 4493300 4695040 4704000 4814250 4929792 5017600 5030400 5135200 5268480 5365760 5376000 5391960 5488000 5502000 5616625 5634048 5751424 5868800 6021120 6162240 6272000 6288000 6419000 6573056 6585600 6707200 6739950 7024640 7042560 7168000 7189280 7336000 7512064 7526400 7702800 8048640 8216320 8232000 8384000 8429568 8627136 8780800 8803200 8986600 9390080 9408000 9628500 9859584 10035200 10060800 10270400 10536960 10752000 10783920 10976000 11004000 11233250 11268096 11502848 11737600 12324480 12544000 12576000 12838000 13146112 13171200 13414400 13479900 14049280 14085120 14378560 14672000 15052800 15405600 16097280 16432640 16464000 16768000 16849875 17254272 17561600 17606400 17973200 18780160 18816000 19257000 19719168 20121600 20540800 21073920 21504000 21567840 21952000 22008000 22466500 22536192 23005696 23475200 24648960 25088000 25152000 25676000 26292224 26342400 26828800 26959800 28170240 28757120 29344000 30105600 30811200 32865280 32928000 33536000 33699750 34508544 35123200 35212800 35946400 37560320 37632000 38514000 39438336 40243200 41081600 42147840 43135680 43904000 44016000 44933000 46011392 46950400 49297920 50176000 50304000 51352000 52584448 52684800 53919600 56340480 57514240 58688000 61622400 65730560 65856000 67072000 67399500 69017088 70246400 70425600 71892800 75264000 77028000 78876672 80486400 82163200 86271360 87808000 88032000 89866000 92022784 93900800 98595840 100608000 102704000 105369600 107839200 112680960 115028480 117376000 123244800 131461120 131712000 134144000 134799000 138034176 140851200 143785600 150528000 154056000 157753344 164326400 172542720 175616000 176064000 179732000 184045568 187801600 197191680 201216000 205408000 210739200 215678400 230056960 234752000 246489600 262922240 263424000 269598000 276068352 281702400 287571200 308112000 328652800 345085440 351232000 352128000 359464000 368091136 394383360 402432000 410816000 431356800 460113920 469504000 492979200 526848000 539196000 552136704 563404800 575142400 616224000 657305600 690170880 704256000 718928000 788766720 821632000 862713600 920227840 939008000 985958400 1053696000 1078392000 1104273408 1150284800 1232448000 1314611200 1380341760 1408512000 1437856000 1643264000 1725427200 1840455680 1971916800 2156784000 2300569600 2464896000 2760683520 2817024000 2875712000 3286528000 3450854400 3943833600 4313568000 4601139200 4929792000 5521367040 5751424000 6573056000 6901708800 8627136000 9202278400 9859584000 11502848000 13803417600 17254272000 19719168000 23005696000 27606835200 34508544000 46011392000 69017088000 138034176000
- Sum of all divisors σ(n): 539773977600
- Sum of proper divisors (its aliquot sum) s(n): 401739801600
- 138034176000 is an abundant number, because the sum of its proper divisors (401739801600) is greater than itself. Its abundance is 263705625600
Bases of 138034176000
- Binary: 100000001000110111101001100000000000002
- Hexadecimal: 0x20237A6000
- Base-36: 1RETZFUO
Squares and roots of 138034176000
- 138034176000 squared (1380341760002) is 19053433743998976000000
- 138034176000 cubed (1380341760003) is 2630025026823493597003776000000000
-
The
square root of 138034176000 is 371529.5089222389 -
The
cube root of 138034176000 is 5168.0758103437
Scales and comparisons
How big is 138034176000?- 138,034,176,000 seconds is equal to 4,389 years, 3 weeks, 18 hours, 40 minutes.
-
To count from 1 to 138,034,176,000 would take you about eight thousand, seven hundred seventy-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 138034176000 cubic inches would be around 430.7 feet tall.
Recreational maths with 138034176000
- 138034176000 backwards is 000671430831
- The number of decimal digits it has is: 12
- The sum of 138034176000's digits is 33
- More coming soon!
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The information we have on file for 138034176000 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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