138088012006080
138,088,012,006,080 is an even composite number composed of six prime numbers multiplied together.
What does the number 138088012006080 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1680 divisors.
138088012006080 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, six hundred eighty divisors.
Prime factorization of 138088012006080:
26 × 34 × 5 × 232 × 473 × 97
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 23 × 23 × 47 × 47 × 47 × 97)See below for interesting mathematical facts about the number 138088012006080 from the Numbermatics database.
Names of 138088012006080
- Cardinal: 138088012006080 can be written as One hundred thirty-eight trillion, eighty-eight billion, twelve million, six thousand and eighty.
Scientific notation
- Scientific notation: 1.3808801200608 × 1014
Factors of 138088012006080
Divisors of 138088012006080
- Number of divisors d(n): 1680
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 27 30 32 36 40 45 46 47 48 54 60 64 69 72 80 81 90 92 94 96 97 108 115 120 135 138 141 144 160 162 180 184 188 192 194 207 216 230 235 240 270 276 282 288 291 320 324 345 360 368 376 388 405 414 423 432 460 470 480 485 529 540 552 564 576 582 621 648 690 705 720 736 752 776 810 828 846 864 873 920 940 960 970 1035 1058 1080 1081 1104 1128 1164 1242 1269 1296 1380 1410 1440 1455 1472 1504 1552 1587 1620 1656 1692 1728 1746 1840 1863 1880 1940 2070 2115 2116 2160 2162 2208 2209 2231 2256 2328 2484 2538 2592 2619 2645 2760 2820 2880 2910 3008 3104 3105 3174 3240 3243 3312 3384 3492 3680 3726 3760 3807 3880 4140 4230 4232 4320 4324 4365 4416 4418 4462 4512 4559 4656 4761 4968 5076 5184 5238 5290 5405 5520 5640 5820 6208 6210 6345 6348 6480 6486 6624 6627 6693 6768 6984 7360 7452 7520 7614 7760 7857 7935 8280 8460 8464 8640 8648 8730 8836 8924 9024 9118 9312 9315 9522 9729 9936 10152 10476 10580 10810 11040 11045 11155 11280 11640 12420 12690 12696 12960 12972 13095 13248 13254 13386 13536 13677 13968 14283 14904 15040 15228 15520 15714 15870 16215 16560 16920 16928 17296 17460 17672 17848 18236 18624 18630 19035 19044 19458 19872 19881 20079 20304 20952 21160 21620 22080 22090 22310 22560 22795 23280 23805 24840 24863 25380 25392 25920 25944 26190 26508 26772 27072 27354 27936 28566 29187 29808 30456 31040 31428 31740 32430 33120 33135 33465 33840 33856 34592 34920 35344 35696 36472 37260 38070 38088 38916 39285 39744 39762 40158 40608 41031 41904 42320 42849 43240 44180 44620 45120 45590 46560 47610 48645 49680 49726 50760 50784 50807 51313 51888 52380 53016 53544 54708 55872 57132 58374 59616 59643 60237 60912 62856 63480 64860 66240 66270 66930 67680 68385 69184 69840 70688 71392 71415 72944 74520 74589 76140 76176 77832 78570 79524 80316 81216 82062 83808 84640 85698 86480 87561 88360 89240 91180 93120 95220 97290 99360 99405 99452 100395 101520 101568 101614 102626 103776 103823 104760 104857 106032 107088 109416 114264 116748 119232 119286 120474 121824 123093 124315 125712 126960 129720 132540 133860 135360 136770 139680 141376 142784 142830 145888 145935 149040 149178 152280 152352 152421 153939 155664 157140 159048 160632 164124 167616 169280 171396 172960 175122 176720 178480 178929 180711 182360 190440 194580 198720 198810 198904 200790 203040 203228 205155 205252 207552 207646 209520 209714 212064 214176 214245 214273 218832 223767 228528 233496 238572 240948 243648 246186 248630 251424 253920 254035 256565 259440 265080 267720 273540 279360 285660 291776 291870 298080 298215 298356 301185 304560 304704 304842 307878 311328 311469 314280 314571 318096 321264 328248 342792 345920 350244 353440 356960 357858 361422 364720 369279 372945 380880 389160 397620 397808 401580 406080 406456 410310 410504 415292 419040 419428 424128 428352 428490 428546 437664 437805 447534 457056 457263 461817 466992 477144 481896 492372 497260 502848 507840 508070 513130 518880 519115 524285 530160 535440 547080 571320 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21290165280 21309878396 21752994960 21763280064 22236394848 22243558635 23726462544 24483690072 25015944204 25548198336 26103593952 26362736160 26637347995 27204100080 27795493560 29003993280 29658078180 30289101120 30604612590 30947559840 31255774560 31269930255 31635283392 31935247920 31964817594 32629492440 32644920096 33354592272 35589693816 36272133440 36725535108 37060658080 37523916306 39544104240 40806150120 41693240340 42580330560 42619756792 43505989920 44472789696 44487117270 45906918885 47452925088 47947226391 48967380144 50031888408 52207187904 52725472320 53274695990 54408200160 55590987120 59316156360 61209225180 61895119680 62511549120 62539860510 63870495840 63929635188 65258984880 65289840192 66709184544 71179387632 73451070216 74121316160 75047832612 79088208480 79912043985 81612300240 83386480680 85239513584 87011979840 88974234540 91813837770 93809790765 94905850176 95894452782 97934760288 100063776816 106549391980 108816400320 111181974240 118632312720 122418450360 125079721020 127740991680 127859270376 130517969760 133418369088 142358775264 143841679173 146902140432 150095665224 158176416960 159824087970 163224600480 166772961360 170479027168 177948469080 183627675540 187619581530 191788905564 195869520576 200127553632 213098783960 222363948480 237264625440 239736131955 244836900720 250159442040 255718540752 261035939520 284717550528 287683358346 293804280864 300191330448 319648175940 326449200960 333545922720 340958054336 355896938160 367255351080 375239163060 383577811128 400255107264 426197567920 431525037519 474529250880 479472263910 489673801440 500318884080 511437081504 575366716692 587608561728 600382660896 639296351880 667091845440 711793876320 719208395865 734510702160 750478326120 767155622256 852395135840 863050075038 958944527820 979347602880 1000637768160 1022874163008 1150733433384 1200765321792 1278592703760 1423587752640 1438416791730 1469021404320 1500956652240 1534311244512 1704790271680 1726100150076 1917889055640 2001275536320 2157625187595 2301466866768 2557185407520 2876833583460 2938042808640 3001913304480 3068622489024 3452200300152 3835778111280 4315250375190 4602933733536 5114370815040 5753667166920 6003826608960 6904400600304 7671556222560 8630500750380 9205867467072 11507334333840 13808801200608 15343112445120 17261001500760 23014668667680 27617602401216 34522003001520 46029337335360 69044006003040 138088012006080
- Sum of all divisors σ(n): 530060033543040
- Sum of proper divisors (its aliquot sum) s(n): 391972021536960
- 138088012006080 is an abundant number, because the sum of its proper divisors (391972021536960) is greater than itself. Its abundance is 253884009530880
Bases of 138088012006080
- Binary: 111110110010111000111101110011101000010110000002
- Hexadecimal: 0x7D971EE742C0
- Base-36: 1CY4R90S00
Squares and roots of 138088012006080
- 138088012006080 squared (1380880120060802) is 19068299059791294225956966400
- 138088012006080 cubed (1380880120060803) is 2633103509503984212853007356620615155712000
-
The
square root of 138088012006080 is 11751085.5671329361 -
The
cube root of 138088012006080 is 51687.4760628337
Scales and comparisons
How big is 138088012006080?- 138,088,012,006,080 seconds is equal to 4,390,771 years, 33 weeks, 4 days, 16 hours, 48 minutes.
-
To count from 1 to 138,088,012,006,080 would take you about ten million, nine hundred seventy-six thousand, nine hundred twenty-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 138088012006080 cubic inches would be around 4307.3 feet tall.
Recreational maths with 138088012006080
- 138088012006080 backwards is 080600210880831
- 138088012006080 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138088012006080's digits is 45
- More coming soon!
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"Number 138088012006080 - Facts about the integer". Numbermatics.com. 2024. Web. 12 May 2024.
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Numbermatics. (2024). Number 138088012006080 - Facts about the integer. Retrieved 12 May 2024, from https://numbermatics.com/n/138088012006080/
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The information we have on file for 138088012006080 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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