138344063468800
138,344,063,468,800 is an even composite number composed of nine prime numbers multiplied together.
What does the number 138344063468800 look like?
This visualization shows the relationship between its 9 prime factors (large circles) and 3456 divisors.
138344063468800 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of three thousand, four hundred fifty-six divisors.
Prime factorization of 138344063468800:
28 × 52 × 7 × 17 × 29 × 31 × 37 × 43 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 17 × 29 × 31 × 37 × 43 × 127)See below for interesting mathematical facts about the number 138344063468800 from the Numbermatics database.
Names of 138344063468800
- Cardinal: 138344063468800 can be written as One hundred thirty-eight trillion, three hundred forty-four billion, sixty-three million, four hundred sixty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.383440634688 × 1014
Factors of 138344063468800
Divisors of 138344063468800
- Number of divisors d(n): 3456
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 17 20 25 28 29 31 32 34 35 37 40 43 50 56 58 62 64 68 70 74 80 85 86 100 112 116 119 124 127 128 136 140 145 148 155 160 170 172 175 185 200 203 215 217 224 232 238 248 254 256 259 272 280 290 296 301 310 320 340 344 350 370 400 406 425 430 434 448 464 476 493 496 508 518 527 544 560 580 592 595 602 620 629 635 640 680 688 700 725 731 740 775 800 812 850 860 868 889 896 899 925 928 952 986 992 1015 1016 1036 1054 1073 1075 1085 1088 1120 1147 1160 1184 1190 1204 1240 1247 1258 1270 1280 1295 1333 1360 1376 1400 1450 1462 1480 1505 1550 1591 1600 1624 1700 1720 1736 1778 1792 1798 1850 1856 1904 1972 1984 2030 2032 2072 2108 2146 2150 2159 2170 2176 2240 2294 2320 2368 2380 2408 2465 2480 2494 2516 2540 2590 2635 2666 2720 2752 2800 2900 2924 2960 2975 3010 3100 3145 3175 3182 3200 3248 3400 3440 3451 3472 3556 3596 3655 3683 3689 3700 3712 3808 3937 3944 3968 4060 4064 4144 4216 4292 4300 4318 4340 4352 4403 4445 4480 4495 4588 4640 4699 4736 4760 4816 4930 4960 4988 5032 5075 5080 5117 5180 5270 5332 5365 5425 5440 5461 5504 5600 5735 5800 5848 5920 5950 6020 6200 6235 6290 6293 6350 6364 6400 6475 6496 6665 6800 6880 6902 6944 7112 7192 7310 7366 7378 7400 7424 7511 7525 7616 7874 7888 7936 7955 8029 8120 8128 8288 8432 8584 8600 8636 8680 8729 8806 8890 8960 8990 9176 9280 9331 9398 9472 9520 9632 9860 9920 9976 10064 10150 10160 10234 10360 10540 10664 10730 10795 10850 10880 10922 11008 11137 11200 11470 11600 11696 11840 11900 12040 12325 12400 12470 12580 12586 12700 12728 12950 12992 13175 13330 13600 13760 13804 13888 14224 14384 14620 14732 14756 14800 15022 15050 15113 15232 15283 15725 15748 15776 15910 16058 16240 16256 16576 16864 17168 17200 17255 17272 17360 17458 17612 17780 17980 18241 18275 18352 18415 18445 18560 18662 18796 19040 19264 19499 19685 19720 19840 19952 20128 20300 20320 20468 20720 21080 21199 21328 21460 21590 21700 21760 21844 22015 22225 22274 22400 22475 22661 22940 23200 23392 23495 23680 23800 24080 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15710204800 15848787200 15938256160 16019460800 16086519008 16116503200 16407028400 16692092600 17020677100 17037446240 17230547200 17390831360 17432467675 17538547600 17569731200 18164924300 18384593152 18418860800 18634706825 18695143712 18750889600 18781436800 18925316480 19235826400 19452202400 19922820200 20044054400 20108148760 20344715216 20756798720 21296807800 21365878528 21616259917 21738539200 21786466688 21983801600 21994286720 22188302080 22313558624 22980741440 23251103104 23368929640 23656645600 23852424736 24122766080 24704297048 25135185950 25333100800 25430894020 25501209856 25786405120 25945998400 26251245440 26707348160 27036166400 27233083360 27259913984 27492858400 27735377600 27891948280 28061676160 28725926800 29063878880 29211162050 29441171200 29815530920 30153457600 30777322240 30880371310 31123523840 31420409600 31788617525 31876512320 32038921600 32173038016 32233006400 32814056800 33384185200 34041354200 34074892480 34864935350 35077095200 35139462400 36329848600 37269413650 37390287424 37501779200 37562873600 37850632960 38471652800 38904404800 39845640400 40088108800 40216297520 40689430432 42593615600 43232519834 43477078400 43572933376 43988573440 44627117248 45961482880 46502206208 46737859280 47313291200 47704849472 49408594096 50270371900 50861788040 51891996800 52502490880 53414696320 54466166720 54985716800 55470755200 55783896560 56123352320 57451853600 58127757760 58422324100 59631061840 60306915200 61760742620 63577235050 63753024640 64077843200 64346076032 64466012800 65628113600 66768370400 68082708400 68149784960 69729870700 70154190400 72659697200 74538827300 74780574848 76943305600 77200928275 77808809600 79691280800 80432595040 81378860864 85187231200 86465039668 86954156800 89254234496 91922965760 93475718560 94626582400 95409698944 98817188192 100540743800 101723576080 103783993600 106829392640 108081299585 108932333440 109971433600 110941510400 111567793120 114903707200 116255515520 116844648200 119262123680 120613830400 123521485240 127154470100 127506049280 128692152064 128932025600 131256227200 133536740800 136165416800 136299569920 139459741400 140308380800 145319394400 149077654600 149561149696 153886611200 154401856550 155617619200 159382561600 160865190080 162757721728 170374462400 172930079336 178508468992 186951437120 189253164800 190819397888 197634376384 201081487600 203447152160 216162599170 217864666880 219942867200 223135586240 229807414400 232511031040 233689296400 238524247360 247042970480 254308940200 262512454400 267073481600 272330833600 278919482800 280616761600 290638788800 298155309200 308803713100 318765123200 321730380160 325515443456 340748924800 345860158672 373902874240 395268752768 402162975200 406894304320 432325198340 446271172480 459614828800 467378592800 477048494720 494085940960 508617880400 534146963200 540406497925 544661667200 557838965600 581277577600 596310618400 617607426200 637530246400 643460760320 681497849600 691720317344 747805748480 790537505536 804325950400 813788608640 864650396680 892542344960 934757185600 954096989440 988171881920 1017235760800 1080812995850 1089323334400 1115677931200 1162555155200 1192621236800 1235214852400 1383440634688 1608651900800 1627577217280 1729300793360 1869514371200 1976343763840 2034471521600 2161625991700 2231355862400 2385242473600 2470429704800 2766881269376 3217303801600 3458601586720 3739028742400 3952687527680 4068943043200 4323251983400 4462711724800 4770484947200 4940859409600 5533762538752 6917203173440 8137886086400 8646503966800 9881718819200 13834406346880 17293007933600 19763437638400 27668812693760 34586015867200 69172031734400 138344063468800
- Sum of all divisors σ(n): 468665043517440
- Sum of proper divisors (its aliquot sum) s(n): 330320980048640
- 138344063468800 is an abundant number, because the sum of its proper divisors (330320980048640) is greater than itself. Its abundance is 191976916579840
Bases of 138344063468800
- Binary: 111110111010010101111001100001010000101000000002
- Hexadecimal: 0x7DD2BCC28500
- Base-36: 1D1EDVG934
Squares and roots of 138344063468800
- 138344063468800 squared (1383440634688002) is 19139079897059362688573440000
- 138344063468800 cubed (1383440634688003) is 2647778084013214642269282591889948672000000
-
The
square root of 138344063468800 is 11761975.3217221129 -
The
cube root of 138344063468800 is 51719.4037247625
Scales and comparisons
How big is 138344063468800?- 138,344,063,468,800 seconds is equal to 4,398,913 years, 15 weeks, 1 day, 7 hours, 6 minutes, 40 seconds.
-
To count from 1 to 138,344,063,468,800 would take you about ten million, nine hundred ninety-seven thousand, two hundred eighty-three 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 138344063468800 cubic inches would be around 4310 feet tall.
Recreational maths with 138344063468800
- 138344063468800 backwards is 008864360443831
- 138344063468800 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138344063468800's digits is 58
- More coming soon!
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Cite this page
MLA style:
"Number 138344063468800 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
APA style:
Numbermatics. (2024). Number 138344063468800 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/138344063468800/
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Numbermatics. 2024. "Number 138344063468800 - Facts about the integer". https://numbermatics.com/n/138344063468800/
The information we have on file for 138344063468800 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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