138824228505600
138,824,228,505,600 is an even composite number composed of five prime numbers multiplied together.
138824228505600 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, eight hundred eighty divisors.
Prime factorization of 138824228505600:
211 × 33 × 52 × 114 × 193
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 11 × 11 × 11 × 11 × 19 × 19 × 19)See below for interesting mathematical facts about the number 138824228505600 from the Numbermatics database.
Names of 138824228505600
- Cardinal: 138824228505600 can be written as One hundred thirty-eight trillion, eight hundred twenty-four billion, two hundred twenty-eight million, five hundred five thousand, six hundred.
Scientific notation
- Scientific notation: 1.388242285056 × 1014
Factors of 138824228505600
Divisors of 138824228505600
- Number of divisors d(n): 2880
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 19 20 22 24 25 27 30 32 33 36 38 40 44 45 48 50 54 55 57 60 64 66 72 75 76 80 88 90 95 96 99 100 108 110 114 120 121 128 132 135 144 150 152 160 165 171 176 180 190 192 198 200 209 216 220 225 228 240 242 256 264 270 275 285 288 297 300 304 320 330 342 352 360 361 363 380 384 396 400 418 432 440 450 456 475 480 484 495 512 513 528 540 550 570 576 594 600 605 608 627 640 660 675 684 704 720 722 726 760 768 792 800 825 836 855 864 880 900 912 950 960 968 990 1024 1026 1045 1056 1080 1083 1089 1100 1140 1152 1188 1200 1210 1216 1254 1280 1320 1331 1350 1368 1408 1425 1440 1444 1452 1485 1520 1536 1584 1600 1650 1672 1710 1728 1760 1800 1805 1815 1824 1881 1900 1920 1936 1980 2048 2052 2090 2112 2160 2166 2178 2200 2280 2299 2304 2376 2400 2420 2432 2475 2508 2560 2565 2640 2662 2700 2736 2816 2850 2880 2888 2904 2970 3025 3040 3072 3135 3168 3200 3249 3267 3300 3344 3420 3456 3520 3600 3610 3630 3648 3762 3800 3840 3872 3960 3971 3993 4104 4180 4224 4275 4320 4332 4356 4400 4560 4598 4608 4752 4800 4840 4864 4950 5016 5120 5130 5225 5280 5324 5400 5415 5445 5472 5632 5643 5700 5760 5776 5808 5940 6050 6080 6144 6270 6336 6400 6498 6534 6600 6655 6688 6840 6859 6897 6912 7040 7200 7220 7260 7296 7425 7524 7600 7680 7744 7920 7942 7986 8208 8360 8448 8550 8640 8664 8712 8800 9025 9075 9120 9196 9216 9405 9504 9600 9680 9728 9747 9900 10032 10240 10260 10450 10560 10648 10800 10830 10890 10944 11264 11286 11400 11495 11520 11552 11616 11880 11913 11979 12100 12160 12540 12672 12800 12825 12996 13068 13200 13310 13376 13680 13718 13794 13824 14080 14400 14440 14520 14592 14641 14850 15048 15200 15360 15488 15675 15840 15884 15972 16245 16335 16416 16720 16896 17100 17280 17328 17424 17600 18050 18150 18240 18392 18432 18810 19008 19200 19360 19456 19494 19800 19855 19965 20064 20520 20577 20691 20900 21120 21296 21600 21660 21780 21888 22528 22572 22800 22990 23040 23104 23232 23760 23826 23958 24200 24320 25080 25289 25344 25600 25650 25992 26136 26400 26620 26752 27075 27225 27360 27436 27588 27648 28160 28215 28800 28880 29040 29184 29282 29700 30096 30400 30720 30976 31350 31680 31768 31944 32490 32670 32832 33275 33440 33792 34200 34295 34485 34560 34656 34848 35200 35739 35937 36100 36300 36480 36784 37620 38016 38400 38720 38912 38988 39600 39710 39930 40128 41040 41154 41382 41800 42240 42592 43200 43320 43560 43681 43776 43923 45144 45600 45980 46080 46208 46464 47025 47520 47652 47916 48400 48640 48735 50160 50578 50688 51200 51300 51984 52272 52800 53240 53504 54150 54450 54720 54872 55176 55296 56320 56430 57475 57600 57760 58080 58368 58564 59400 59565 59895 60192 60800 61731 61952 62073 62700 63360 63536 63888 64980 65340 65664 66550 66880 67584 68400 68590 68970 69120 69312 69696 70400 71478 71874 72200 72600 72960 73205 73568 75240 75449 75867 76032 76800 77440 77976 79200 79420 79860 80256 81225 81675 82080 82308 82764 83600 84480 85184 86400 86640 87120 87362 87552 87846 90288 91200 91960 92160 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48069331200 48202857120 48710255616 49298376600 50739849600 51416380928 52150348800 52584935040 54122506240 54228214260 55352563200 56090597376 57082330800 57365383680 57843428544 58427705600 60253571400 60384614400 60887819520 63101922048 63739315200 64092441600 64270476160 65731168800 66423075840 67653132800 67785267825 70113246720 71706729600 72304285680 73065383424 73803417600 76109774400 76487178240 76910929920 77124571392 78877402560 80338095200 81183759360 83028844800 84135896064 86765142816 87641558400 90380357100 91331729280 93484328960 95608972800 96138662400 96405714240 97420511232 98596753200 101479699200 102832761856 104300697600 105169870080 108456428520 110705126400 114164661600 114730767360 115686857088 116855411200 120507142800 121775639040 126203844096 127478630400 128184883200 128540952320 131462337600 132846151680 135306265600 135570535650 140226493440 143413459200 144608571360 146130766848 152219548800 154249142784 157754805120 160676190400 162367518720 166057689600 168271792128 173530285632 175283116800 180760714200 182663458560 191217945600 192277324800 192811428480 197193506400 202959398400 205665523712 210339740160 216912857040 221410252800 228329323200 229461534720 231373714176 233710822400 241014285600 243551278080 252407688192 257081904640 262924675200 270612531200 271141071300 280452986880 286826918400 289217142720 292261533696 304439097600 308498285568 315509610240 321352380800 332115379200 347060571264 350566233600 361521428400 365326917120 382435891200 384554649600 385622856960 394387012800 405918796800 420679480320 433825714080 456658646400 462747428352 467421644800 482028571200 487102556160 504815376384 514163809280 525849350400 542282142600 573653836800 578434285440 608878195200 616996571136 631019220480 642704761600 664230758400 694121142528 701132467200 723042856800 730653834240 771245713920 788774025600 811837593600 841358960640 867651428160 913317292800 925494856704 964057142400 1028327618560 1051698700800 1084564285200 1147307673600 1156868570880 1217756390400 1262038440960 1285409523200 1388242285056 1402264934400 1446085713600 1461307668480 1542491427840 1577548051200 1735302856320 1826634585600 1850989713408 1928114284800 2103397401600 2169128570400 2313737141760 2435512780800 2524076881920 2570819046400 2776484570112 2892171427200 3084982855680 3155096102400 3470605712640 3653269171200 3856228569600 4206794803200 4338257140800 4627474283520 5141638092800 5552969140224 5784342854400 6310192204800 6941211425280 7306538342400 7712457139200 8676514281600 9254948567040 11568685708800 12620384409600 13882422850560 15424914278400 17353028563200 23137371417600 27764845701120 34706057126400 46274742835200 69412114252800 138824228505600
- Sum of all divisors σ(n): 592072495560000
- Sum of proper divisors (its aliquot sum) s(n): 453248267054400
- 138824228505600 is an abundant number, because the sum of its proper divisors (453248267054400) is greater than itself. Its abundance is 314424038548800
Bases of 138824228505600
- Binary: 111111001000010100010001101001110001000000000002
- Hexadecimal: 0x7E4288D38800
- Base-36: 1D7IYXBEO0
Squares and roots of 138824228505600
- 138824228505600 squared (1388242285056002) is 19272166420175043609231360000
- 138824228505600 cubed (1388242285056003) is 2675443634912331395958379274217455616000000
-
The
square root of 138824228505600 is 11782369.3926815925 -
The
cube root of 138824228505600 is 51779.1705912913
Scales and comparisons
How big is 138824228505600?- 138,824,228,505,600 seconds is equal to 4,414,181 years, 2 weeks, 6 days.
-
To count from 1 to 138,824,228,505,600 would take you about eleven million, thirty-five thousand, four hundred fifty-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 138824228505600 cubic inches would be around 4314.9 feet tall.
Recreational maths with 138824228505600
- 138824228505600 backwards is 006505822428831
- 138824228505600 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138824228505600's digits is 54
- More coming soon!
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Cite this page
MLA style:
"Number 138824228505600 - Facts about the integer". Numbermatics.com. 2024. Web. 17 May 2024.
APA style:
Numbermatics. (2024). Number 138824228505600 - Facts about the integer. Retrieved 17 May 2024, from https://numbermatics.com/n/138824228505600/
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Numbermatics. 2024. "Number 138824228505600 - Facts about the integer". https://numbermatics.com/n/138824228505600/
The information we have on file for 138824228505600 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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