138553372067052800
138,553,372,067,052,800 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138553372067052800 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2160 divisors.
138553372067052800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 138553372067052800:
28 × 52 × 114 × 13 × 19 × 41 × 146011
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 11 × 11 × 11 × 11 × 13 × 19 × 41 × 146011)See below for interesting mathematical facts about the number 138553372067052800 from the Numbermatics database.
Names of 138553372067052800
- Cardinal: 138553372067052800 can be written as One hundred thirty-eight quadrillion, five hundred fifty-three trillion, three hundred seventy-two billion, sixty-seven million, fifty-two thousand, eight hundred.
Scientific notation
- Scientific notation: 1.385533720670528 × 1017
Factors of 138553372067052800
Divisors of 138553372067052800
- Number of divisors d(n): 2160
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Complete list of divisors:
1 2 4 5 8 10 11 13 16 19 20 22 25 26 32 38 40 41 44 50 52 55 64 65 76 80 82 88 95 100 104 110 121 128 130 143 152 160 164 176 190 200 205 208 209 220 242 247 256 260 275 286 304 320 325 328 352 380 400 410 416 418 440 451 475 484 494 520 533 550 572 605 608 640 650 656 704 715 760 779 800 820 832 836 880 902 950 968 988 1025 1040 1045 1066 1100 1144 1210 1216 1235 1280 1300 1312 1331 1408 1430 1520 1558 1573 1600 1640 1664 1672 1760 1804 1900 1936 1976 2050 2080 2090 2132 2200 2255 2288 2299 2420 2432 2470 2600 2624 2662 2665 2717 2816 2860 3025 3040 3116 3146 3200 3280 3328 3344 3520 3575 3608 3800 3872 3895 3952 4100 4160 4180 4264 4400 4510 4576 4598 4840 4864 4940 4961 5200 5225 5248 5324 5330 5434 5720 5863 6050 6080 6175 6232 6292 6400 6560 6655 6688 7040 7150 7216 7600 7744 7790 7865 7904 8200 8320 8360 8528 8569 8800 9020 9152 9196 9680 9880 9922 10127 10400 10450 10496 10648 10660 10868 11275 11440 11495 11726 12100 12160 12350 12464 12584 13120 13310 13325 13376 13585 14080 14300 14432 14641 15200 15488 15580 15730 15808 16400 16640 16720 17056 17138 17303 17600 18040 18304 18392 19360 19475 19760 19844 20254 20800 20900 21296 21320 21736 22550 22880 22990 23452 24200 24320 24700 24805 24928 25168 25289 26240 26620 26650 26752 27170 28600 28864 29282 29315 29887 30400 30976 31160 31460 31616 32800 33275 33440 34112 34276 34606 35200 36080 36608 36784 38720 38950 39325 39520 39688 40508 41600 41800 42592 42640 42845 43472 45100 45760 45980 46904 48400 49400 49610 49856 50336 50578 50635 52480 53240 53300 53504 54340 54571 57200 57475 57728 58564 58630 59774 60800 62320 62920 63232 64493 65600 66550 66880 67925 68224 68552 69212 70400 72160 73205 73568 77440 77900 78650 79040 79376 81016 83200 83600 85184 85280 85690 86515 86944 90200 91520 91960 93808 94259 96800 98800 99220 99712 100672 101156 101270 106480 106600 108680 109142 111397 114400 114950 115456 117128 117260 119548 121600 124025 124640 125840 126445 128986 131200 133100 133760 135850 136448 137104 138424 144320 146011 146410 146575 147136 149435 154880 155800 157300 158080 158752 162032 167200 170368 170560 171380 173030 173888 180400 183040 183920 187616 188518 190333 193600 197600 198440 199424 201344 202312 202540 212960 213200 214225 217360 218284 222794 228800 229900 234256 234520 239096 248050 249280 251680 252890 253175 257972 262400 266200 267520 271700 272855 274208 276848 278179 288640 292022 292820 293150 294272 298870 311600 314600 316160 317504 322465 324064 328757 334400 340736 341120 342760 346060 347776 360800 366025 367840 375232 377036 380666 387200 395200 396880 402688 404624 405080 425920 426400 428450 432575 434720 436568 445588 457600 459800 468512 469040 471295 478192 496100 498560 503360 505780 506350 515944 532400 543400 545710 548416 553696 556358 556985 577280 584044 585640 586300 588544 597740 600281 623200 629200 632225 635008 644930 648128 657514 668800 682240 685520 692120 695552 709423 721600 730055 732050 735680 747175 750464 754072 761332 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6629347945792 6661219810916 6840790563200 6982129211200 7011810327280 7114422185728 7156682441480 7533349938400 7569567966950 7680342132320 7872350685628 8007476857600 8084570665600 8123438793800 8286684932240 8326524763645 8448376345552 8764762909100 8808224543360 8893027732160 8945853051850 9115353425464 9463381740800 9600427665400 9689046997696 9840438357035 10198996839680 10358356165300 10398001656064 10409719914880 10560470431940 11010280679200 11116284665200 11218896523648 11394191781830 11450691906368 11815910972800 12053359901440 12111308747120 12288547411712 12748746049600 12997502070080 13012149893600 13200588039925 13258695891584 13322439621832 13681581126400 13964258422400 14023620654560 14313364882960 15066699876800 15139135933900 15360684264640 15744701371256 16169141331200 16246877587600 16573369864480 16653049527290 16896752691104 17529525818200 17616449086720 17786055464320 17891706103700 18230706850928 19200855330800 19378093995392 19680876714070 20716712330600 20819439829760 21120940863880 21648964385477 22020561358400 22232569330400 22437793047296 22788383563660 22901383812736 23631821945600 24222617494240 25497492099200 25995004140160 26024299787200 26401176079850 26517391783168 26644879243664 27928516844800 28047241309120 28485479454575 28626729765920 30133399753600 30278271867800 30721368529280 31489402742512 32493755175200 33146739728960 33306099054580 33793505382208 35059051636400 35572110928640 35783412207400 36461413701856 38401710661600 38756187990784 39361753428140 41433424661200 41632623818225 42241881727760 43297928770954 44041122716800 44465138660800 45576767127320 45802767625472 48445234988480 49202191785175 50994984198400 51990008280320 52048599574400 52802352159700 53289758487328 56094482618240 56970958909150 57253459531840 60266799507200 60556543735600 61442737058560 62978805485024 64987510350400 66293479457920 66612198109160 67587010764416 70118103272800 71566824414800 72922827403712 76803421323200 78723506856280 82866849322400 83265247636450 84483763455520 86595857541908 88082245433600 88930277321600 91153534254640 96890469976960 98404383570350 104097199148800 105604704319400 106579516974656 108244821927385 112188965236480 113941917818300 114506919063680 121113087471200 125957610970048 129975020700800 132586958915840 133224396218320 135174021528832 140236206545600 143133648829600 145845654807424 153606842646400 157447013712560 165733698644800 166530495272900 168967526911040 173191715083816 177860554643200 182307068509280 193780939953920 196808767140700 211209408638800 213159033949312 216489643854770 227883835636600 229013838127360 242226174942400 251915221940096 259950041401600 266448792436640 280472413091200 286267297659200 291691309614848 307213685292800 314894027425120 331467397289600 333060990545800 337935053822080 346383430167632 364614137018560 393617534281400 422418817277600 426318067898624 432979287709540 455767671273200 484452349884800 503830443880192 532897584873280 541224109636925 560944826182400 572534595318400 629788054850240 662934794579200 666121981091600 675870107644160 692766860335264 729228274037120 787235068562800 844837634555200 865958575419080 911535342546400 968904699769600 1065795169746560 1082448219273850 1145069190636800 1259576109700480 1332243962183200 1385533720670528 1458456548074240 1574470137125600 1689675269110400 1731917150838160 1823070685092800 2131590339493120 2164896438547700 2519152219400960 2664487924366400 2771067441341056 3148940274251200 3379350538220800 3463834301676320 3646141370185600 4329792877095400 5328975848732800 5542134882682112 6297880548502400 6927668603352640 7292282740371200 8659585754190800 10657951697465600 12595761097004800 13855337206705280 17319171508381600 27710674413410560 34638343016763200 69276686033526400 138553372067052800
- Sum of all divisors σ(n): 438065644349121600
- Sum of proper divisors (its aliquot sum) s(n): 299512272282068800
- 138553372067052800 is an abundant number, because the sum of its proper divisors (299512272282068800) is greater than itself. Its abundance is 160958900215016000
Bases of 138553372067052800
- Binary: 1111011000011110110001110110011000111110100111101000000002
- Hexadecimal: 0x1EC3D8ECC7D3D00
- Base-36: 11W92KF6O0ZK
Squares and roots of 138553372067052800
- 138553372067052800 squared (1385533720670528002) is 19197036911151167088579277987840000
- 138553372067052800 cubed (1385533720670528003) is 2659814197735673678454118631097695607543037952000000
-
The
square root of 138553372067052800 is 372227581.0133537107 -
The
cube root of 138553372067052800 is 517454.7365697123
Scales and comparisons
How big is 138553372067052800?- 138,553,372,067,052,800 seconds is equal to 4,405,568,658 years, 4 days, 19 hours, 33 minutes, 20 seconds.
-
To count from 1 to 138,553,372,067,052,800 would take you about thirteen billion, two hundred sixteen million, seven hundred five thousand, nine hundred seventy-four 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 138553372067052800 cubic inches would be around 43121.2 feet tall.
Recreational maths with 138553372067052800
- 138553372067052800 backwards is 008250760273355831
- 138553372067052800 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138553372067052800's digits is 65
- More coming soon!
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"Number 138553372067052800 - Facts about the integer". Numbermatics.com. 2024. Web. 15 June 2024.
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Numbermatics. (2024). Number 138553372067052800 - Facts about the integer. Retrieved 15 June 2024, from https://numbermatics.com/n/138553372067052800/
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The information we have on file for 138553372067052800 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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