138464949110400
138,464,949,110,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138464949110400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2592 divisors.
138464949110400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, five hundred ninety-two divisors.
Prime factorization of 138464949110400:
27 × 32 × 52 × 112 × 29 × 73 × 1372
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 11 × 11 × 29 × 73 × 137 × 137)See below for interesting mathematical facts about the number 138464949110400 from the Numbermatics database.
Names of 138464949110400
- Cardinal: 138464949110400 can be written as One hundred thirty-eight trillion, four hundred sixty-four billion, nine hundred forty-nine million, one hundred ten thousand, four hundred.
Scientific notation
- Scientific notation: 1.384649491104 × 1014
Factors of 138464949110400
Divisors of 138464949110400
- Number of divisors d(n): 2592
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 29 30 32 33 36 40 44 45 48 50 55 58 60 64 66 72 73 75 80 87 88 90 96 99 100 110 116 120 121 128 132 137 144 145 146 150 160 165 174 176 180 192 198 200 219 220 225 232 240 242 261 264 274 275 288 290 292 300 319 320 330 348 352 360 363 365 384 396 400 411 435 438 440 450 464 480 484 495 522 528 548 550 576 580 584 600 605 638 640 657 660 685 696 704 720 725 726 730 792 800 803 822 825 870 876 880 900 928 957 960 968 990 1044 1056 1089 1095 1096 1100 1152 1160 1168 1200 1210 1233 1276 1305 1314 1320 1370 1392 1408 1440 1450 1452 1460 1507 1584 1595 1600 1606 1644 1650 1740 1752 1760 1800 1815 1825 1856 1914 1920 1936 1980 2055 2088 2112 2117 2175 2178 2190 2192 2200 2320 2336 2400 2409 2420 2466 2475 2552 2610 2628 2640 2740 2784 2871 2880 2900 2904 2920 3014 3025 3168 3190 3200 3212 3285 3288 3300 3425 3480 3504 3509 3520 3600 3630 3650 3712 3828 3872 3960 3973 4015 4110 4176 4224 4234 4350 4356 4380 4384 4400 4521 4640 4672 4785 4800 4818 4840 4932 4950 5104 5220 5256 5280 5445 5475 5480 5568 5742 5760 5800 5808 5840 6028 6050 6165 6336 6351 6380 6424 6525 6570 6576 6600 6850 6960 7008 7018 7040 7200 7227 7260 7300 7535 7656 7744 7920 7946 7975 8030 8220 8352 8468 8700 8712 8760 8768 8800 8833 9042 9075 9280 9344 9570 9600 9636 9680 9864 9900 10001 10208 10275 10440 10512 10527 10560 10585 10890 10950 10960 11136 11484 11600 11616 11680 11919 12045 12056 12100 12330 12672 12702 12760 12848 13050 13140 13152 13200 13563 13700 13920 14016 14036 14355 14400 14454 14520 14600 15070 15312 15488 15840 15892 15950 16060 16425 16440 16577 16704 16936 17400 17424 17520 17536 17545 17600 17666 18084 18150 18560 18769 19053 19140 19272 19360 19728 19800 19865 20002 20075 20416 20550 20880 21024 21054 21120 21170 21780 21900 21920 22605 22968 23200 23232 23287 23360 23838 23925 24090 24112 24200 24660 25404 25520 25696 26100 26280 26304 26400 26499 27126 27225 27400 27840 28032 28072 28710 28800 28908 29040 29200 30003 30140 30624 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72117160995 72343233600 74603959650 75871204992 76289228160 76924971728 78673266540 79032505200 79577556960 83918150976 84224421600 86217278400 86540593194 86811880320 87414740600 91881187200 94839006240 95361535200 95493068352 96156214660 98341583175 99471946200 101069305920 104897688720 105376673600 106103409280 108514850400 112299228800 114433842240 115387457592 118548757800 119366335440 120195268325 125877226464 126336632400 126452008320 127148713600 131122110900 132629261600 139863584960 143042302800 144234321990 144686467200 149207919300 153849943456 157346533080 158065010400 159155113920 167836301952 168448843200 172434556800 173081186388 174829481200 189678012480 190723070400 190986136704 192312429320 196683166350 198943892400 202138611840 209795377440 210753347200 216351482985 217029700800 228867684480 230774915184 237097515600 238732670880 240390536650 251754452928 252673264800 262244221800 265258523200 279727169920 286084605600 288468643980 298415838600 307699886912 314693066160 316130020800 318310227840 336897686400 346162372776 349658962400 360585804975 379356024960 381446140800 384624858640 393366332700 397887784800 419590754880 432702965970 434059401600 461549830368 474195031200 477465341760 480781073300 503508905856 505346529600 524488443600 530517046400 572169211200 576937287960 596831677200 615399773824 629386132320 632260041600 692324745552 699317924800 721171609950 769249717280 786732665400 795775569600 839181509760 865405931940 923099660736 948390062400 954930683520 961562146600 1010693059200 1048976887200 1081757414925 1144338422400 1153874575920 1193663354400 1258772264640 1384649491104 1398635849600 1442343219900 1538499434560 1573465330800 1591551139200 1730811863880 1846199321472 1896780124800 1923124293200 2097953774400 2163514829850 2307749151840 2387326708800 2517544529280 2769298982208 2884686439800 3076998869120 3146930661600 3461623727760 3846248586400 4195907548800 4327029659700 4615498303680 4774653417600 5538597964416 5769372879600 6293861323200 6923247455520 7692497172800 8654059319400 9230996607360 11538745759200 12587722646400 13846494911040 15384994345600 17308118638800 23077491518400 27692989822080 34616237277600 46154983036800 69232474555200 138464949110400
- Sum of all divisors σ(n): 573683641467300
- Sum of proper divisors (its aliquot sum) s(n): 435218692356900
- 138464949110400 is an abundant number, because the sum of its proper divisors (435218692356900) is greater than itself. Its abundance is 296753743246500
Bases of 138464949110400
- Binary: 111110111101110111000100001101100000110100000002
- Hexadecimal: 0x7DEEE21B0680
- Base-36: 1D2XX3N340
Squares and roots of 138464949110400
- 138464949110400 squared (1384649491104002) is 19172542132145661751388160000
- 138464949110400 cubed (1384649491104003) is 2654725070644548966366093310957092864000000
-
The
square root of 138464949110400 is 11767113.0321077481 -
The
cube root of 138464949110400 is 51734.4635521287
Scales and comparisons
How big is 138464949110400?- 138,464,949,110,400 seconds is equal to 4,402,757 years, 4 weeks, 1 day, 16 hours.
-
To count from 1 to 138,464,949,110,400 would take you about eleven million, six thousand, eight hundred ninety-two 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 138464949110400 cubic inches would be around 4311.2 feet tall.
Recreational maths with 138464949110400
- 138464949110400 backwards is 004011949464831
- The number of decimal digits it has is: 15
- The sum of 138464949110400's digits is 54
- More coming soon!
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"Number 138464949110400 - Facts about the integer". Numbermatics.com. 2024. Web. 1 June 2024.
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Numbermatics. (2024). Number 138464949110400 - Facts about the integer. Retrieved 1 June 2024, from https://numbermatics.com/n/138464949110400/
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The information we have on file for 138464949110400 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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