138468016527693742080
138,468,016,527,693,742,080 is an even composite number composed of six prime numbers multiplied together.
What does the number 138468016527693742080 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1728 divisors.
138468016527693742080 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 138468016527693742080:
215 × 32 × 5 × 17 × 372 × 635212
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 17 × 37 × 37 × 63521 × 63521)See below for interesting mathematical facts about the number 138468016527693742080 from the Numbermatics database.
Names of 138468016527693742080
- Cardinal: 138468016527693742080 can be written as One hundred thirty-eight quintillion, four hundred sixty-eight quadrillion, sixteen trillion, five hundred twenty-seven billion, six hundred ninety-three million, seven hundred forty-two thousand and eighty.
Scientific notation
- Scientific notation: 1.3846801652769374208 × 1020
Factors of 138468016527693742080
Divisors of 138468016527693742080
- Number of divisors d(n): 1728
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 32 34 36 37 40 45 48 51 60 64 68 72 74 80 85 90 96 102 111 120 128 136 144 148 153 160 170 180 185 192 204 222 240 255 256 272 288 296 306 320 333 340 360 370 384 408 444 480 510 512 544 555 576 592 612 629 640 666 680 720 740 765 768 816 888 960 1020 1024 1088 1110 1152 1184 1224 1258 1280 1332 1360 1369 1440 1480 1530 1536 1632 1665 1776 1887 1920 2040 2048 2176 2220 2304 2368 2448 2516 2560 2664 2720 2738 2880 2960 3060 3072 3145 3264 3330 3552 3774 3840 4080 4096 4107 4352 4440 4608 4736 4896 5032 5120 5328 5440 5476 5661 5760 5920 6120 6144 6290 6528 6660 6845 7104 7548 7680 8160 8192 8214 8704 8880 9216 9435 9472 9792 10064 10240 10656 10880 10952 11322 11520 11840 12240 12288 12321 12580 13056 13320 13690 14208 15096 15360 16320 16384 16428 17408 17760 18432 18870 18944 19584 20128 20480 20535 21312 21760 21904 22644 23040 23273 23680 24480 24576 24642 25160 26112 26640 27380 28305 28416 30192 30720 32640 32768 32856 34816 35520 36864 37740 37888 39168 40256 40960 41070 42624 43520 43808 45288 46080 46546 47360 48960 49152 49284 50320 52224 53280 54760 56610 56832 60384 61440 61605 63521 65280 65712 69632 69819 71040 73728 75480 75776 78336 80512 81920 82140 85248 87040 87616 90576 92160 93092 94720 97920 98304 98568 100640 104448 106560 109520 113220 113664 116365 120768 122880 123210 127042 130560 131424 139264 139638 142080 147456 150960 151552 156672 161024 163840 164280 170496 174080 175232 181152 184320 186184 189440 190563 195840 197136 201280 208896 209457 213120 219040 226440 227328 232730 241536 245760 246420 254084 261120 262848 278528 279276 284160 294912 301920 303104 313344 317605 322048 328560 340992 348160 349095 350464 362304 368640 372368 378880 381126 391680 394272 402560 417792 418914 426240 438080 452880 454656 465460 483072 491520 492840 508168 522240 525696 557056 558552 568320 571689 603840 606208 626688 635210 644096 657120 681984 696320 698190 700928 724608 737280 744736 757760 762252 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12994370920391680 13522267239032592 13758745680414720 14140933060426240 14618667285440640 14675995392442368 15024741376702880 15593245104470016 15908549692979520 16857562275102720 16902834048790740 16969119672511488 18029689652043456 18344994240552960 19491556380587520 20229074730123264 20790993472626688 21211399590639360 22013993088663552 22537112065054320 22625492896681984 23389867656705024 24039586202724608 24459992320737280 25286343412654080 25453679508767232 25988741840783360 27044534478065184 27517491360829440 28281866120852480 29237334570881280 30049482753405760 31186490208940032 31817099385959040 33715124550205440 33805668097581480 33938239345022976 36059379304086912 36689988481105920 38983112761175040 41581986945253376 42422799181278720 44027986177327104 45074224130108640 45250985793363968 46779735313410048 48079172405449216 50572686825308160 50907359017534464 51977483681566720 54089068956130368 55034982721658880 56563732241704960 58474669141762560 60098965506811520 62372980417880064 63634198771918080 67611336195162960 67876478690045952 72118758608173824 73379976962211840 77966225522350080 83163973890506752 84845598362557440 90148448260217280 90501971586727936 93559470626820096 96158344810898432 101145373650616320 101814718035068928 103954967363133440 108178137912260736 110069965443317760 113127464483409920 116949338283525120 120197931013623040 124745960835760128 127268397543836160 135222672390325920 135752957380091904 144237517216347648 155932451044700160 169691196725114880 180296896520434560 181003943173455872 187118941253640192 192316689621796864 203629436070137856 207909934726266880 216356275824521472 220139930886635520 226254928966819840 233898676567050240 240395862027246080 249491921671520256 254536795087672320 270445344780651840 271505914760183808 288475034432695296 311864902089400320 339382393450229760 360593793040869120 374237882507280384 384633379243593728 407258872140275712 415819869452533760 432712551649042944 452509857933639680 467797353134100480 480791724054492160 509073590175344640 540890689561303680 543011829520367616 576950068865390592 623729804178800640 678764786900459520 721187586081738240 748475765014560768 769266758487187456 814517744280551424 865425103298085888 905019715867279360 935594706268200960 961583448108984320 1018147180350689280 1081781379122607360 1153900137730781184 1247459608357601280 1357529573800919040 1442375172163476480 1538533516974374912 1629035488561102848 1730850206596171776 1871189412536401920 1923166896217968640 2036294360701378560 2163562758245214720 2307800275461562368 2715059147601838080 2884750344326952960 3077067033948749824 3461700413192343552 3742378825072803840 3846333792435937280 4072588721402757120 4327125516490429440 4615600550923124736 5769500688653905920 6923400826384687104 7692667584871874560 8145177442805514240 8654251032980858880 9231201101846249472 11539001377307811840 13846801652769374208 15385335169743749120 17308502065961717760 23078002754615623680 27693603305538748416 34617004131923435520 46156005509231247360 69234008263846871040 138468016527693742080
- Sum of all divisors σ(n): 522367319985486442740
- Sum of proper divisors (its aliquot sum) s(n): 383899303457792700660
- 138468016527693742080 is an abundant number, because the sum of its proper divisors (383899303457792700660) is greater than itself. Its abundance is 245431286930098958580
Bases of 138468016527693742080
- Binary: 11110000001101000010011011101100101100111100001101010000000000000002
- Hexadecimal: 0x781A137659E1A8000
- Base-36: T80JJASCRRI80
Squares and roots of 138468016527693742080
- 138468016527693742080 squared (1384680165276937420802) is 19173391601113667321327311990393562726400
- 138468016527693742080 cubed (1384680165276937420803) is 2654901505114951666825141182146226746614590949437223206912000
-
The
square root of 138468016527693742080 is 11767243369.9526135907 -
The
cube root of 138468016527693742080 is 5173484.5574239309
Scales and comparisons
How big is 138468016527693742080?- 138,468,016,527,693,742,080 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,468,016,527,693,742,080 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 138468016527693742080 cubic inches would be around 431123.7 feet tall.
Recreational maths with 138468016527693742080
- 138468016527693742080 backwards is 080247396725610864831
- 138468016527693742080 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 138468016527693742080's digits is 90
- More coming soon!
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"Number 138468016527693742080 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
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Numbermatics. (2024). Number 138468016527693742080 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/138468016527693742080/
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The information we have on file for 138468016527693742080 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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