138828227736848614272
138,828,227,736,848,614,272 is an even composite number composed of seven prime numbers multiplied together.
138828227736848614272 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 138828227736848614272:
27 × 32 × 7 × 114 × 23 × 37 × 1381742003
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 11 × 11 × 11 × 11 × 23 × 37 × 1381742003)See below for interesting mathematical facts about the number 138828227736848614272 from the Numbermatics database.
Names of 138828227736848614272
- Cardinal: 138828227736848614272 can be written as One hundred thirty-eight quintillion, eight hundred twenty-eight quadrillion, two hundred twenty-seven trillion, seven hundred thirty-six billion, eight hundred forty-eight million, six hundred fourteen thousand, two hundred seventy-two.
Scientific notation
- Scientific notation: 1.38828227736848614272 × 1020
Factors of 138828227736848614272
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 17
- Sum of prime factors: 1381742086
Divisors of 138828227736848614272
- Number of divisors d(n): 1920
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Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 23 24 28 32 33 36 37 42 44 46 48 56 63 64 66 69 72 74 77 84 88 92 96 99 111 112 121 126 128 132 138 144 148 154 161 168 176 184 192 198 207 222 224 231 242 252 253 259 264 276 288 296 308 322 333 336 352 363 368 384 396 407 414 444 448 462 483 484 504 506 518 528 552 576 592 616 644 666 672 693 704 726 736 759 777 792 814 828 847 851 888 896 924 966 968 1008 1012 1036 1056 1089 1104 1152 1184 1221 1232 1288 1331 1332 1344 1386 1408 1449 1452 1472 1518 1554 1584 1628 1656 1694 1702 1771 1776 1848 1932 1936 2016 2024 2072 2112 2178 2208 2277 2331 2368 2442 2464 2541 2553 2576 2662 2664 2688 2772 2783 2849 2898 2904 2944 3036 3108 3168 3256 3312 3388 3404 3542 3552 3663 3696 3864 3872 3993 4032 4048 4144 4224 4356 4416 4477 4554 4662 4736 4884 4928 5082 5106 5152 5313 5324 5328 5544 5566 5698 5796 5808 5957 6072 6216 6336 6512 6624 6776 6808 7084 7104 7326 7392 7623 7659 7728 7744 7986 8064 8096 8288 8349 8547 8712 8832 8954 9108 9317 9324 9361 9768 9856 10164 10212 10304 10626 10648 10656 11088 11132 11396 11592 11616 11914 11979 12144 12432 12672 13024 13248 13431 13552 13616 14168 14208 14641 14652 14784 15246 15318 15456 15488 15939 15972 16192 16576 16698 17094 17424 17871 17908 18216 18634 18648 18722 19481 19536 20328 20424 20608 21252 21296 21312 22176 22264 22792 23184 23232 23828 23958 24288 24864 25047 25641 26048 26496 26862 27104 27232 27951 28083 28336 29282 29304 29568 30492 30613 30636 30912 31339 31878 31944 32384 33152 33396 34188 34848 35742 35816 36432 37268 37296 37444 38962 39072 40293 40656 40848 42504 42592 42624 43923 44352 44528 45584 46368 46464 47656 47916 48576 49247 49728 50094 51282 52096 53613 53724 54208 54464 55902 56166 56672 58443 58564 58608 60984 61226 61272 61824 62678 63756 63888 65527 66792 68376 69696 71484 71632 72864 74536 74592 74888 77924 78144 80586 81312 81696 83853 84249 85008 85184 87846 88704 89056 91168 91839 92736 94017 95312 95832 97152 98494 99456 100188 102487 102564 102971 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107785891100037744 112685249786403096 113700432216911232 117253570723689708 120510614354903311 125750206283377368 127482302788658048 131466124750803612 134004080827073952 137182043218229856 137726416405603784 143417590637240304 143714521466716992 150246999715204128 154942218456304257 156338094298252944 163135402746003072 163905817871131776 167666941711169824 170550648325366848 175288166334404816 178672107769431936 182909390957639808 188625309425066052 191223454182987072 197199187126205418 200329332953605504 206589624608405676 208450792397670592 215571782200075488 225370499572806192 234507141447379416 241021228709806622 251500412566754736 262932249501607224 268008161654147904 274364086436459712 275452832811207568 286835181274480608 287429042933433984 300493999430408256 309884436912608514 312676188596505888 335333883422339648 341101296650733696 350576332668809632 361531843064709933 377250618850132104 382446908365974144 394398374252410836 413179249216811352 416901584795341184 431143564400150976 450740999145612384 469014282894758832 482042457419613244 503000825133509472 525864499003214448 536016323308295808 548728172872919424 550905665622415136 573670362548961216 600987998860816512 619768873825217028 625352377193011776 670667766844679296 701152665337619264 723063686129419866 754501237700264208 788796748504821672 826358498433622704 862287128800301952 901481998291224768 938028565789517664 964084914839226488 1006001650267018944 1051728998006428896 1084595529194129799 1101811331244830272 1147340725097922432 1239537747650434056 1250704754386023552 1402305330675238528 1446127372258839732 1509002475400528416 1577593497009643344 1652716996867245408 1802963996582449536 1876057131579035328 1928169829678452976 2012003300534037888 2103457996012857792 2169191058388259598 2203622662489660544 2479075495300868112 2892254744517679464 3018004950801056832 3155186994019286688 3305433993734490816 3752114263158070656 3856339659356905952 4206915992025715584 4338382116776519196 4958150990601736224 5784509489035358928 6036009901602113664 6310373988038573376 6610867987468981632 7712679318713811904 8676764233553038392 9916301981203472448 11569018978070717856 12620747976077146752 15425358637427623808 17353528467106076784 19832603962406944896 23138037956141435712 34707056934212153568 46276075912282871424 69414113868424307136 138828227736848614272
- Sum of all divisors σ(n): 538215309720515980800
- Sum of proper divisors (its aliquot sum) s(n): 399387081983667366528
- 138828227736848614272 is an abundant number, because the sum of its proper divisors (399387081983667366528) is greater than itself. Its abundance is 260558854246818752256
Bases of 138828227736848614272
- Binary: 11110000110101000001111000110010101010010111110010011000011100000002
- Hexadecimal: 0x786A0F1954BE4C380
- Base-36: TAR2BILDORFK0
Squares and roots of 138828227736848614272
- 138828227736848614272 squared (1388282277368486142722) is 19273276816554302916523191842566642089984
- 138828227736848614272 cubed (1388282277368486142723) is 2675674863123925437880545381763432052041697786184900330651648
-
The
square root of 138828227736848614272 is 11782539103.9813067225 -
The
cube root of 138828227736848614272 is 5177966.7802503077
Scales and comparisons
How big is 138828227736848614272?- 138,828,227,736,848,614,272 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,828,227,736,848,614,272 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 138828227736848614272 cubic inches would be around 431497.2 feet tall.
Recreational maths with 138828227736848614272
- 138828227736848614272 backwards is 272416848637722828831
- 138828227736848614272 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 138828227736848614272's digits is 99
- More coming soon!
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"Number 138828227736848614272 - Facts about the integer". Numbermatics.com. 2024. Web. 6 June 2024.
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Numbermatics. (2024). Number 138828227736848614272 - Facts about the integer. Retrieved 6 June 2024, from https://numbermatics.com/n/138828227736848614272/
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Numbermatics. 2024. "Number 138828227736848614272 - Facts about the integer". https://numbermatics.com/n/138828227736848614272/
The information we have on file for 138828227736848614272 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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