138162329078400
138,162,329,078,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138162329078400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2880 divisors.
138162329078400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, eight hundred eighty divisors.
Prime factorization of 138162329078400:
27 × 34 × 52 × 112 × 61 × 257 × 281
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 11 × 11 × 61 × 257 × 281)See below for interesting mathematical facts about the number 138162329078400 from the Numbermatics database.
Names of 138162329078400
- Cardinal: 138162329078400 can be written as One hundred thirty-eight trillion, one hundred sixty-two billion, three hundred twenty-nine million, seventy-eight thousand, four hundred.
Scientific notation
- Scientific notation: 1.381623290784 × 1014
Factors of 138162329078400
Divisors of 138162329078400
- 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 20 22 24 25 27 30 32 33 36 40 44 45 48 50 54 55 60 61 64 66 72 75 80 81 88 90 96 99 100 108 110 120 121 122 128 132 135 144 150 160 162 165 176 180 183 192 198 200 216 220 225 240 242 244 257 264 270 275 281 288 297 300 305 320 324 330 352 360 363 366 384 396 400 405 432 440 450 480 484 488 495 514 528 540 549 550 562 576 594 600 605 610 640 648 660 671 675 704 720 726 732 771 792 800 810 825 843 864 880 891 900 915 960 968 976 990 1028 1056 1080 1089 1098 1100 1124 1152 1188 1200 1210 1220 1285 1296 1320 1342 1350 1405 1408 1440 1452 1464 1485 1525 1542 1584 1600 1620 1647 1650 1686 1728 1760 1782 1800 1815 1830 1920 1936 1952 1980 2013 2025 2056 2112 2160 2178 2196 2200 2248 2313 2376 2400 2420 2440 2475 2529 2570 2592 2640 2684 2700 2745 2810 2827 2880 2904 2928 2970 3025 3050 3084 3091 3168 3200 3240 3267 3294 3300 3355 3372 3456 3520 3564 3600 3630 3660 3855 3872 3904 3960 4026 4050 4112 4215 4224 4320 4356 4392 4400 4455 4496 4575 4626 4752 4800 4840 4880 4941 4950 5058 5140 5184 5280 5368 5400 5445 5490 5620 5654 5760 5808 5856 5940 6039 6050 6100 6168 6182 6336 6425 6480 6534 6588 6600 6710 6744 6939 7025 7040 7128 7200 7260 7320 7381 7425 7587 7710 7744 7808 7920 8052 8100 8224 8235 8430 8481 8640 8712 8784 8800 8910 8992 9075 9150 9252 9273 9504 9600 9680 9760 9801 9882 9900 10065 10116 10280 10368 10560 10736 10800 10890 10980 11240 11308 11565 11616 11712 11880 12078 12100 12200 12336 12364 12645 12672 12850 12960 13068 13176 13200 13420 13488 13725 13878 14050 14135 14256 14400 14520 14640 14762 14850 15174 15420 15455 15488 15677 15840 16104 16200 16335 16448 16470 16775 16860 16962 17141 17280 17424 17568 17600 17820 17984 18117 18150 18300 18504 18546 19008 19275 19360 19520 19602 19764 19800 20130 20232 20560 20817 21075 21120 21472 21600 21780 21960 22143 22275 22480 22616 22761 23130 23232 23424 23760 24156 24200 24400 24672 24705 24728 25290 25443 25700 25920 26136 26352 26400 26840 26976 27225 27450 27756 27819 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6863503680 6977895408 6990605600 7048379200 7077988170 7136483940 7167954816 7268641050 7449710400 7466619600 7549854048 7612249536 7626115200 7682513850 7753217120 7850132334 7864431300 7929426600 7995505155 8060342400 8145403200 8194681440 8236204416 8388726720 8399947050 8458055040 8528538832 8579379600 8722369260 8813059200 8920604925 8939652480 8959943520 9105201600 9303860544 9359323200 9437317560 9515311920 9594606186 9691521400 9774483840 9833617728 9955492800 10066472064 10243351800 10295255520 10466843112 10485908400 10572568800 10660673540 10751932224 10902961575 10926241920 11174565600 11199929400 11324781072 11418374304 11439172800 11629825680 11796646950 11894139900 11946591360 12218104800 12292022160 12583090080 12687082560 12792808248 12869069400 13083553890 13325841925 13439915280 13657802400 13727007360 13955790816 13981211200 14096758400 14155976340 14272967880 14391909279 14537282100 14899420800 14933239200 15099708096 15224499072 15365027700 15506434240 15700264668 15728862600 15858853200 15991010310 16290806400 16389362880 16777453440 16799894100 17057077664 17158759200 17444738520 17694970425 17841209850 17919887040 18210403200 18607721088 18718646400 18874635120 19030623840 19189212372 19383042800 19625330835 19667235456 19910985600 20486703600 20590511040 20933686224 20971816800 21145137600 21321347080 21503864448 21805923150 22349131200 22399858800 22649562144 22836748608 22878345600 23259651360 23593293900 23788279800 23986515465 24436209600 24584044320 25166180160 25374165120 25585616496 25738138800 26167107780 26651683850 26879830560 27315604800 27911581632 27962422400 28311952680 28545935760 28783818558 29074564200 29866478400 30199416192 30730055400 31012868480 31400529336 31457725200 31717706400 31982020620 32708884725 32778725760 33599788200 34114155328 34317518400 34889477040 35389940850 35682419700 35839774080 37749270240 38061247680 38378424744 38766085600 39250661670 39977525775 40973407200 41181022080 41867372448 41943633600 42290275200 42642694160 43175727837 43611846300 44698262400 44799717600 45299124288 45673497216 46519302720 47186587800 47576559600 47973030930 48872419200 49168088640 50332360320 51171232992 51476277600 52334215560 53303367700 53759661120 54631209600 55823163264 56623905360 57091871520 57567637116 58149128400 59732956800 61460110800 62801058672 62915450400 63435412800 63964041240 65417769450 67199576400 68228310656 68635036800 69778954080 70779881700 71364839400 71959546395 75498540480 76122495360 76756849488 77532171200 78501323340 79955051550 81946814400 83734744896 83887267200 85285388320 86351455674 87223692600 89599435200 90598248576 93038605440 94373175600 95153119200 95946061860 98126654175 98336177280 102342465984 102952555200 104668431120 106606735400 107519322240 113247810720 114183743040 115135274232 116298256800 119932577325 122920221600 125602117344 125830900800 126870825600 127928082480 130835538900 134399152800 139557908160 141559763400 142729678800 143919092790 150997080960 153513698976 155064342400 157002646680 159910103100 163893628800 167469489792 170570776640 172702911348 174447385200 179198870400 188746351200 190306238400 191892123720 196253308350 204684931968 205905110400 209336862240 213213470800 215878639185 226495621440 228367486080 230270548464 232596513600 239865154650 245840443200 251204234688 251661801600 255856164960 261671077800 268798305600 279115816320 283119526800 285459357600 287838185580 307027397952 314005293360 319820206200 341141553280 345405822696 348894770400 359797731975 377492702400 380612476800 383784247440 392506616700 418673724480 426426941600 431757278370 452991242880 460541096928 465193027200 479730309300 491680886400 502408469376 511712329920 523342155600 537596611200 566239053600 570918715200 575676371160 614054795904 628010586720 639640412400 690811645392 697789540800 719595463950 754985404800 767568494880 785013233400 837347448960 852853883200 863514556740 921082193856 959460618600 1023424659840 1046684311200 1079393195925 1132478107200 1141837430400 1151352742320 1256021173440 1279280824800 1381623290784 1395579081600 1439190927900 1535136989760 1570026466800 1705707766400 1727029113480 1842164387712 1918921237200 2093368622400 2158786391850 2264956214400 2302705484640 2512042346880 2558561649600 2763246581568 2878381855800 3070273979520 3140052933600 3454058226960 3837842474400 4186737244800 4317572783700 4605410969280 5117123299200 5526493163136 5756763711600 6280105867200 6908116453920 7675684948800 8635145567400 9210821938560 11513527423200 12560211734400 13816232907840 15351369897600 17270291134800 23027054846400 27632465815680 34540582269600 46054109692800 69081164539200 138162329078400
- Sum of all divisors σ(n): 573851325773880
- Sum of proper divisors (its aliquot sum) s(n): 435688996695480
- 138162329078400 is an abundant number, because the sum of its proper divisors (435688996695480) is greater than itself. Its abundance is 297526667617080
Bases of 138162329078400
- Binary: 111110110101000011011001000101111001010100000002
- Hexadecimal: 0x7DA86C8BCA80
- Base-36: 1CZ2WBHK00
Squares and roots of 138162329078400
- 138162329078400 squared (1381623290784002) is 19088829176368094193346560000
- 138162329078400 cubed (1381623290784003) is 2637357098386731862471395618496610304000000
-
The
square root of 138162329078400 is 11754247.2782564857 -
The
cube root of 138162329078400 is 51696.7468965627
Scales and comparisons
How big is 138162329078400?- 138,162,329,078,400 seconds is equal to 4,393,134 years, 36 weeks, 3 days.
-
To count from 1 to 138,162,329,078,400 would take you about ten million, nine hundred eighty-two thousand, eight hundred thirty-six 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 138162329078400 cubic inches would be around 4308.1 feet tall.
Recreational maths with 138162329078400
- 138162329078400 backwards is 004870923261831
- 138162329078400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138162329078400's digits is 54
- More coming soon!
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MLA style:
"Number 138162329078400 - Facts about the integer". Numbermatics.com. 2024. Web. 4 June 2024.
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Numbermatics. (2024). Number 138162329078400 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/138162329078400/
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Numbermatics. 2024. "Number 138162329078400 - Facts about the integer". https://numbermatics.com/n/138162329078400/
The information we have on file for 138162329078400 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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