138150950400
138,150,950,400 is an even composite number composed of five prime numbers multiplied together.
What does the number 138150950400 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 540 divisors.
138150950400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of five hundred forty divisors.
Prime factorization of 138150950400:
29 × 32 × 52 × 43 × 1672
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 43 × 167 × 167)See below for interesting mathematical facts about the number 138150950400 from the Numbermatics database.
Names of 138150950400
- Cardinal: 138150950400 can be written as One hundred thirty-eight billion, one hundred fifty million, nine hundred fifty thousand, four hundred.
Scientific notation
- Scientific notation: 1.381509504 × 1011
Factors of 138150950400
Divisors of 138150950400
- Number of divisors d(n): 540
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 43 45 48 50 60 64 72 75 80 86 90 96 100 120 128 129 144 150 160 167 172 180 192 200 215 225 240 256 258 288 300 320 334 344 360 384 387 400 430 450 480 501 512 516 576 600 640 645 668 688 720 768 774 800 835 860 900 960 1002 1032 1075 1152 1200 1280 1290 1336 1376 1440 1503 1536 1548 1600 1670 1720 1800 1920 1935 2004 2064 2150 2304 2400 2505 2560 2580 2672 2752 2880 3006 3096 3200 3225 3340 3440 3600 3840 3870 4008 4128 4175 4300 4608 4800 5010 5160 5344 5504 5760 6012 6192 6400 6450 6680 6880 7181 7200 7515 7680 7740 8016 8256 8350 8600 9600 9675 10020 10320 10688 11008 11520 12024 12384 12525 12800 12900 13360 13760 14362 14400 15030 15480 16032 16512 16700 17200 19200 19350 20040 20640 21376 21543 22016 23040 24048 24768 25050 25800 26720 27520 27889 28724 28800 30060 30960 32064 33024 33400 34400 35905 37575 38400 38700 40080 41280 42752 43086 48096 49536 50100 51600 53440 55040 55778 57448 57600 60120 61920 64128 64629 66048 66800 68800 71810 75150 77400 80160 82560 83667 85504 86172 96192 99072 100200 103200 106880 107715 110080 111556 114896 115200 120240 123840 128256 129258 133600 137600 139445 143620 150300 154800 160320 165120 167334 172344 179525 192384 198144 200400 206400 213760 215430 223112 229792 240480 247680 251001 256512 258516 267200 275200 278890 287240 300600 309600 320640 323145 330240 334668 344688 359050 384768 400800 412800 418335 427520 430860 446224 459584 480960 495360 502002 517032 534400 538575 550400 557780 574480 601200 619200 641280 646290 669336 689376 697225 718100 769536 801600 825600 836670 861720 892448 919168 961920 990720 1004004 1034064 1068800 1077150 1115560 1148960 1199227 1202400 1238400 1255005 1282560 1292580 1338672 1378752 1394450 1436200 1603200 1615725 1651200 1673340 1723440 1784896 1838336 1923840 2008008 2068128 2091675 2137600 2154300 2231120 2297920 2398454 2404800 2476800 2510010 2585160 2677344 2757504 2788900 2872400 3206400 3231450 3346680 3446880 3569792 3597681 3676672 3847680 4016016 4136256 4183350 4308600 4462240 4595840 4796908 4809600 4953600 5020020 5170320 5354688 5515008 5577800 5744800 5996135 6275025 6412800 6462900 6693360 6893760 7139584 7195362 8032032 8272512 8366700 8617200 8924480 9191680 9593816 9619200 10040040 10340640 10709376 10793043 11030016 11155600 11489600 11992270 12550050 12925800 13386720 13787520 14279168 14390724 16064064 16545024 16733400 17234400 17848960 17988405 18383360 19187632 19238400 20080080 20681280 21418752 21586086 22311200 22979200 23984540 25100100 25851600 26773440 27575040 28781448 29980675 32128128 33090048 33466800 34468800 35697920 35976810 38375264 40160160 41362560 42837504 43172172 44622400 45958400 47969080 50200200 51703200 53546880 53965215 55150080 57562896 59961350 64256256 66933600 68937600 71395840 71953620 76750528 80320320 82725120 86344344 89244800 89942025 91916800 95938160 100400400 103406400 107093760 107930430 115125792 119922700 128512512 133867200 137875200 143907240 153501056 160640640 165450240 172688688 178489600 179884050 191876320 200800800 206812800 214187520 215860860 230251584 239845400 267734400 269826075 275750400 287814480 307002112 321281280 345377376 356979200 359768100 383752640 401601600 413625600 431721720 460503168 479690800 535468800 539652150 575628960 614004224 642562560 690754752 719536200 767505280 803203200 827251200 863443440 921006336 959381600 1070937600 1079304300 1151257920 1381509504 1439072400 1535010560 1606406400 1726886880 1842012672 1918763200 2158608600 2302515840 2763019008 2878144800 3070021120 3212812800 3453773760 3837526400 4317217200 4605031680 5526038016 5756289600 6907547520 7675052800 8634434400 9210063360 11512579200 13815095040 15350105600 17268868800 23025158400 27630190080 34537737600 46050316800 69075475200 138150950400
- Sum of all divisors σ(n): 508949378652
- Sum of proper divisors (its aliquot sum) s(n): 370798428252
- 138150950400 is an abundant number, because the sum of its proper divisors (370798428252) is greater than itself. Its abundance is 232647477852
Bases of 138150950400
- Binary: 100000001010100111000000110110000000002
- Hexadecimal: 0x202A703600
- Base-36: 1RGRIBK0
Squares and roots of 138150950400
- 138150950400 squared (1381509504002) is 19085685096423260160000
- 138150950400 cubed (1381509504003) is 2636705535105989031770456064000000
-
The
square root of 138150950400 is 371686.6292994679 -
The
cube root of 138150950400 is 5169.5327655851
Scales and comparisons
How big is 138150950400?- 138,150,950,400 seconds is equal to 4,392 years, 40 weeks, 1 day, 8 hours.
-
To count from 1 to 138,150,950,400 would take you about eight thousand, seven hundred eighty-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 138150950400 cubic inches would be around 430.8 feet tall.
Recreational maths with 138150950400
- 138150950400 backwards is 004059051831
- 138150950400 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138150950400's digits is 36
- More coming soon!
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