138146840832
138,146,840,832 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138146840832 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 864 divisors.
138146840832 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 138146840832:
28 × 3 × 7 × 11 × 132 × 23 × 601
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 11 × 13 × 13 × 23 × 601)See below for interesting mathematical facts about the number 138146840832 from the Numbermatics database.
Names of 138146840832
- Cardinal: 138146840832 can be written as One hundred thirty-eight billion, one hundred forty-six million, eight hundred forty thousand, eight hundred thirty-two.
Scientific notation
- Scientific notation: 1.38146840832 × 1011
Factors of 138146840832
Divisors of 138146840832
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 6 7 8 11 12 13 14 16 21 22 23 24 26 28 32 33 39 42 44 46 48 52 56 64 66 69 77 78 84 88 91 92 96 104 112 128 132 138 143 154 156 161 168 169 176 182 184 192 208 224 231 253 256 264 273 276 286 299 308 312 322 336 338 352 364 368 384 416 429 448 462 483 506 507 528 546 552 572 598 601 616 624 644 672 676 704 728 736 759 768 832 858 896 897 924 966 1001 1012 1014 1056 1092 1104 1144 1183 1196 1202 1232 1248 1288 1344 1352 1408 1456 1472 1518 1664 1716 1771 1792 1794 1803 1848 1859 1932 2002 2024 2028 2093 2112 2184 2208 2288 2366 2392 2404 2464 2496 2576 2688 2704 2816 2912 2944 3003 3036 3289 3328 3432 3542 3549 3588 3606 3696 3718 3864 3887 4004 4048 4056 4186 4207 4224 4368 4416 4576 4732 4784 4808 4928 4992 5152 5313 5376 5408 5577 5824 5888 6006 6072 6279 6578 6611 6864 7084 7098 7176 7212 7392 7436 7728 7774 7813 8008 8096 8112 8372 8414 8448 8736 8832 9152 9464 9568 9616 9856 9867 9984 10304 10626 10816 11154 11648 11661 12012 12144 12558 12621 13013 13156 13222 13728 13823 14168 14196 14352 14424 14784 14872 15456 15548 15626 16016 16192 16224 16744 16828 17472 17664 18304 18928 19136 19232 19712 19734 19833 20608 21252 21632 22308 23023 23296 23322 23439 24024 24288 25116 25242 26026 26312 26444 27209 27456 27646 28336 28392 28704 28848 29568 29744 30912 31096 31252 32032 32384 32448 33488 33656 34944 36608 37856 38272 38464 39039 39468 39666 41216 41469 42504 42757 43264 44616 46046 46277 46644 46878 48048 48576 50232 50484 52052 52624 52888 54418 54691 54912 55292 56672 56784 57408 57696 59136 59488 61824 62192 62504 64064 64768 64896 66976 67312 69069 69888 75712 76544 76928 78078 78936 79332 81627 82938 85008 85514 85943 89232 92092 92554 93288 93756 96096 96761 97152 100464 100968 101569 104104 105248 105776 108836 109382 109824 110584 113344 113568 114816 115392 118976 123648 124384 125008 128128 128271 129792 133952 134624 138138 138831 151424 152053 153856 156156 157872 158664 163254 164073 165876 170016 171028 171886 178464 179699 184184 185108 186576 187512 192192 193522 194304 200928 201936 203138 208208 210496 211552 217672 218764 221168 226688 227136 229632 230784 237952 248768 250016 256256 256542 257829 267904 269248 276276 277662 290283 299299 302848 304106 304707 312312 315744 317328 326508 328146 331752 340032 342056 343772 356928 359398 368368 370216 373152 375024 384384 387044 401856 403872 406276 416416 420992 423104 435344 437528 442336 453376 454272 456159 461568 475904 497536 500032 513084 515658 535808 538496 539097 552552 555324 580566 598598 601601 608212 609414 624624 631488 634656 653016 656292 663504 680064 684112 687544 710983 713856 718796 736736 740432 746304 750048 768768 774088 803712 807744 812552 832832 841984 846208 870688 875056 884672 897897 908544 912318 995072 1000064 1026168 1031316 1064371 1076992 1078194 1105104 1110648 1117259 1161132 1197196 1203202 1216424 1218828 1249248 1257893 1262976 1269312 1306032 1312584 1327008 1360128 1368224 1375088 1421966 1427712 1437592 1473472 1480864 1492608 1500096 1548176 1607424 1615488 1625104 1665664 1692416 1741376 1750112 1769344 1795794 1804803 1824636 1976689 2000128 2052336 2062632 2128742 2132949 2156388 2210208 2221296 2234518 2322264 2336087 2394392 2406404 2432848 2437656 2498496 2515786 2525952 2538624 2612064 2625168 2654016 2736448 2750176 2843932 2875184 2946944 2961728 2985216 3000192 3096352 3193113 3230976 3250208 3331328 3351777 3482752 3500224 3538688 3591588 3609606 3649272 3773679 3953378 4104672 4125264 4257484 4265898 4312776 4420416 4442592 4469036 4644528 4672174 4788784 4812808 4865696 4875312 4996992 5031572 5077248 5224128 5250336 5308032 5472896 5500352 5687864 5750368 5893888 5923456 5930067 6000384 6192704 6386226 6500416 6703554 6965504 7000448 7008261 7183176 7219212 7298544 7547358 7820813 7906756 8209344 8250528 8514968 8531796 8625552 8840832 8885184 8938072 9289056 9344348 9577568 9625616 9731392 9750624 9993984 10063144 10448256 10500672 10616064 10945792 11000704 11375728 11500736 11846912 11860134 12385408 12772452 13000832 13407108 13836823 14000896 14016522 14366352 14438424 14597088 15094716 15641626 15813512 16352609 16418688 16501056 17029936 17063592 17251104 17681664 17770368 17876144 18578112 18688696 19155136 19251232 19462784 19501248 20126288 20896512 21001344 22001408 22751456 23001472 23462439 23720268 24770816 25544904 25696957 26001664 26814216 27673646 28033044 28732704 28876848 29194176 30189432 31283252 31627024 32705218 32837376 33002112 34059872 34127184 34502208 35540736 35752288 37156224 37377392 38310272 38502464 38925568 39002496 40252576 41510469 42002688 45502912 46002944 46924878 47440536 49057827 51089808 51393914 53628432 55347292 56066088 57465408 57753696 58388352 60378864 62566504 63254048 65410436 66004224 68119744 68254368 69004416 71504576 74312448 74754784 76620544 77004928 77090871 78004992 80505152 83020938 91005824 93849756 94881072 98115654 102179616 102787828 107256864 110694584 112132176 114930816 115507392 116776704 120757728 125133008 126508096 130820872 136239488 136508736 138008832 143009152 149509568 154009856 154181742 161010304 166041876 179878699 182011648 187699512 189762144 196231308 204359232 205575656 214513728 221389168 224264352 229861632 231014784 241515456 250266016 253016192 261641744 272478976 273017472 286018304 299019136 308363484 322020608 332083752 359757398 375399024 379524288 392462616 408718464 411151312 429027456 442778336 448528704 462029568 483030912 500532032 506032384 523283488 539636097 546034944 598038272 616726968 664167504 719514796 750798048 759048576 784925232 817436928 822302624 858054912 885556672 897057408 966061824 1001064064 1046566976 1079272194 1233453936 1328335008 1439029592 1501596096 1518097152 1569850464 1644605248 1771113344 1794114816 2002128128 2093133952 2158544388 2466907872 2656670016 2878059184 3003192192 3139700928 3289210496 3542226688 4186267904 4317088776 4933815744 5313340032 5756118368 6006384384 6279401856 6578420992 8634177552 9867631488 10626680064 11512236736 12558803712 17268355104 19735262976 23024473472 34536710208 46048946944 69073420416 138146840832
- Sum of all divisors σ(n): 518813116416
- Sum of proper divisors (its aliquot sum) s(n): 380666275584
- 138146840832 is an abundant number, because the sum of its proper divisors (380666275584) is greater than itself. Its abundance is 242519434752
Bases of 138146840832
- Binary: 100000001010100011000110000001000000002
- Hexadecimal: 0x202A318100
- Base-36: 1RGP28LC
Squares and roots of 138146840832
- 138146840832 squared (1381468408322) is 19084549631861942452224
- 138146840832 cubed (1381468408323) is 2636470240343235959745732692410368
-
The
square root of 138146840832 is 371681.1009884683 -
The
cube root of 138146840832 is 5169.4815058169
Scales and comparisons
How big is 138146840832?- 138,146,840,832 seconds is equal to 4,392 years, 33 weeks, 2 days, 18 hours, 27 minutes, 12 seconds.
-
To count from 1 to 138,146,840,832 would take you about eight thousand, seven hundred eighty-five 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 138146840832 cubic inches would be around 430.8 feet tall.
Recreational maths with 138146840832
- 138146840832 backwards is 238048641831
- 138146840832 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138146840832's digits is 48
- More coming soon!
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The information we have on file for 138146840832 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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