138319040015520
138,319,040,015,520 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138319040015520 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1728 divisors.
138319040015520 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 138319040015520:
25 × 3 × 5 × 7 × 132 × 17 × 532 × 5101
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 13 × 13 × 17 × 53 × 53 × 5101)See below for interesting mathematical facts about the number 138319040015520 from the Numbermatics database.
Names of 138319040015520
- Cardinal: 138319040015520 can be written as One hundred thirty-eight trillion, three hundred nineteen billion, forty million, fifteen thousand, five hundred twenty.
Scientific notation
- Scientific notation: 1.3831904001552 × 1014
Factors of 138319040015520
Divisors of 138319040015520
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 17 20 21 24 26 28 30 32 34 35 39 40 42 48 51 52 53 56 60 65 68 70 78 80 84 85 91 96 102 104 105 106 112 119 120 130 136 140 156 159 160 168 169 170 182 195 204 208 210 212 221 224 238 240 255 260 265 272 273 280 312 318 336 338 340 357 364 371 390 408 416 420 424 442 455 476 480 507 510 520 530 544 546 560 595 624 636 663 672 676 680 689 714 728 742 780 795 816 840 845 848 884 901 910 952 1014 1020 1040 1060 1092 1105 1113 1120 1183 1190 1248 1272 1326 1352 1360 1365 1378 1428 1456 1484 1547 1560 1590 1632 1680 1690 1696 1768 1785 1802 1820 1855 1904 2028 2040 2067 2080 2120 2184 2210 2226 2366 2380 2535 2544 2652 2703 2704 2720 2730 2756 2809 2856 2873 2912 2968 3094 3120 3180 3315 3360 3380 3445 3536 3549 3570 3604 3640 3710 3808 4056 4080 4134 4240 4368 4420 4452 4505 4641 4732 4760 4823 5070 5088 5101 5304 5406 5408 5460 5512 5565 5618 5712 5746 5915 5936 6188 6240 6307 6360 6630 6760 6890 7072 7098 7140 7208 7280 7420 7735 8112 8160 8268 8427 8480 8619 8736 8840 8904 8957 9010 9282 9464 9520 9646 10140 10202 10335 10608 10812 10920 11024 11130 11236 11424 11492 11713 11830 11872 12376 12614 12720 13260 13515 13520 13780 14045 14196 14280 14365 14416 14469 14560 14840 15303 15470 16224 16536 16854 17238 17680 17745 17808 17914 18020 18564 18921 18928 19040 19292 19663 20111 20280 20404 20670 21216 21624 21840 22048 22260 22472 22984 23205 23426 23660 24115 24752 25228 25440 25505 26520 26871 27030 27040 27560 28090 28392 28560 28730 28832 28938 29680 30606 30940 31535 33072 33708 34476 35139 35360 35490 35616 35707 35828 36040 36517 37128 37842 37856 38584 39326 40222 40560 40808 41340 42135 43095 43248 43680 44520 44785 44944 45968 46410 46852 47320 47753 48230 49504 50456 51010 53040 53742 54060 55120 56180 56784 57120 57460 57876 58565 58989 59360 60333 61212 61880 62699 63070 66144 66313 67416 68952 70278 70980 71414 71656 72080 72345 73034 74256 75684 76515 77168 78652 80444 81120 81616 81991 82680 84270 86190 86496 86717 89040 89570 89888 91936 92820 93704 94605 94640 95506 96460 98315 100555 100912 102020 106080 107121 107484 108120 109551 110240 112360 113568 114920 115752 117130 117978 120666 122424 123760 125398 126140 132626 134355 134832 137904 140556 141960 142828 143259 143312 144160 144690 146068 148512 151368 152269 153030 154336 157304 160888 163232 163982 165360 168540 172380 173434 175695 178080 178535 179140 182585 185640 187408 188097 189210 189280 191012 192920 196630 198939 201110 201824 204040 214242 214968 216240 219102 224720 229840 231504 234260 235956 238765 241332 244848 245973 247520 250796 252280 255619 260151 265252 268710 269664 270353 275808 281112 283920 285656 286518 286624 289380 292136 294945 301665 302736 304538 306060 313495 314608 321776 327964 330720 331565 334271 337080 344760 346868 351390 357070 358280 365170 371280 374816 376194 378420 382024 385840 393260 397878 402220 408080 409955 428484 429936 432480 433585 438204 449440 456807 459680 463008 464191 468520 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96862072840 100376661840 101332630048 101705176482 102306982260 104313001520 108741383660 110832564115 116234487408 116922265440 123499142871 124275867040 125175601824 126665787560 130489660392 132999076938 135606901976 136409309680 145293109260 151998945072 153517247520 156469502280 163112075490 163691171616 164665523828 169508627470 173986213856 177332102584 186413800560 189998681340 193724145680 200753323680 203410352964 204613964520 205831904785 208626003040 217482767320 221665128230 232468974816 246998285742 253331575120 254262941205 260979320784 265998153876 271213803952 272818619360 288164666699 290586218520 303997890144 312939004560 326224150980 329331047656 332497692345 339017254940 354664205168 372827601120 379997362680 387448291360 406820705928 409227929040 411663809570 434965534640 443330256460 493996571484 506663150240 508525882410 521958641568 531996307752 542427607904 576329333398 581172437040 617495714355 625878009120 652448301960 658662095312 664995384690 678034509880 709328410336 759994725360 813641411856 818455858080 823327619140 864494000097 869931069280 886660512920 987993142968 1017051764820 1063992615504 1152658666796 1162344874080 1234991428710 1304896603920 1317324190624 1329990769380 1356069019760 1440823333495 1519989450720 1627282823712 1646655238280 1728988000194 1773321025840 1975986285936 2034103529640 2127985231008 2305317333592 2469982857420 2609793207840 2659981538760 2712138039520 2881646666990 3293310476560 3457976000388 3546642051680 3951972571872 4068207059280 4322470000485 4610634667184 4939965714840 5319963077520 5763293333980 6586620953120 6915952000776 8136414118560 8644940000970 9221269334368 9879931429680 10639926155040 11526586667960 13831904001552 17289880001940 19759862859360 23053173335920 27663808003104 34579760003880 46106346671840 69159520007760 138319040015520
- Sum of all divisors σ(n): 582005615917824
- Sum of proper divisors (its aliquot sum) s(n): 443686575902304
- 138319040015520 is an abundant number, because the sum of its proper divisors (443686575902304) is greater than itself. Its abundance is 305367535886784
Bases of 138319040015520
- Binary: 111110111001100111010010011111011101100101000002
- Hexadecimal: 0x7DCCE93EECA0
- Base-36: 1D12W14SYO
Squares and roots of 138319040015520
- 138319040015520 squared (1383190400155202) is 19132156830815023001840870400
- 138319040015520 cubed (1383190400155203) is 2646341566264707473206796583480986308608000
-
The
square root of 138319040015520 is 11760911.5299588917 -
The
cube root of 138319040015520 is 51716.2852290135
Scales and comparisons
How big is 138319040015520?- 138,319,040,015,520 seconds is equal to 4,398,117 years, 32 weeks, 2 days, 23 hours, 52 minutes.
-
To count from 1 to 138,319,040,015,520 would take you about ten million, nine hundred ninety-five thousand, two hundred ninety-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 138319040015520 cubic inches would be around 4309.7 feet tall.
Recreational maths with 138319040015520
- 138319040015520 backwards is 025510040913831
- 138319040015520 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138319040015520's digits is 42
- More coming soon!
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"Number 138319040015520 - Facts about the integer". Numbermatics.com. 2024. Web. 4 June 2024.
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Numbermatics. (2024). Number 138319040015520 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/138319040015520/
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The information we have on file for 138319040015520 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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