138206008948820472
138,206,008,948,820,472 is an even composite number composed of five prime numbers multiplied together.
138206008948820472 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 138206008948820472:
23 × 34 × 112 × 709 × 2486109851
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 11 × 11 × 709 × 2486109851)See below for interesting mathematical facts about the number 138206008948820472 from the Numbermatics database.
Names of 138206008948820472
- Cardinal: 138206008948820472 can be written as One hundred thirty-eight quadrillion, two hundred six trillion, eight billion, nine hundred forty-eight million, eight hundred twenty thousand, four hundred seventy-two.
Scientific notation
- Scientific notation: 1.38206008948820472 × 1017
Factors of 138206008948820472
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 11
- Sum of prime factors: 2486110576
Divisors of 138206008948820472
- Number of divisors d(n): 240
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 121 132 162 198 216 242 264 297 324 363 396 484 594 648 709 726 792 891 968 1089 1188 1418 1452 1782 2127 2178 2376 2836 2904 3267 3564 4254 4356 5672 6381 6534 7128 7799 8508 8712 9801 12762 13068 15598 17016 19143 19602 23397 25524 26136 31196 38286 39204 46794 51048 57429 62392 70191 76572 78408 85789 93588 114858 140382 153144 171578 187176 210573 229716 257367 280764 343156 421146 459432 514734 561528 631719 686312 772101 842292 1029468 1263438 1544202 1684584 2058936 2316303 2526876 3088404 4632606 5053752 6176808 6948909 9265212 13897818 18530424 27795636 55591272 2486109851 4972219702 7458329553 9944439404 14916659106 19888878808 22374988659 27347208361 29833318212 44749977318 54694416722 59666636424 67124965977 82041625083 89499954636 109388833444 134249931954 164083250166 178999909272 201374897931 218777666888 246124875249 268499863908 300819291971 328166500332 402749795862 492249750498 536999727816 601638583942 656333000664 738374625747 805499591724 902457875913 984499500996 1203277167884 1476749251494 1610999183448 1762651884359 1804915751826 1968999001992 2215123877241 2406554335768 2707373627739 2953498502988 3525303768718 3609831503652 4430247754482 5287955653077 5414747255478 5906997005976 7050607537436 7219663007304 8122120883217 8860495508964 10575911306154 10829494510956 14101215074872 15863866959231 16244241766434 17720991017928 19389170727949 21151822612308 21658989021912 24366362649651 31727733918462 32488483532868 38778341455898 42303645224616 47591600877693 48732725299302 58167512183847 63455467836924 64976967065736 77556682911796 95183201755386 97465450598604 116335024367694 126910935673848 142774802633079 155113365823592 174502536551541 190366403510772 194930901197208 213280878007439 232670048735388 285549605266158 349005073103082 380732807021544 426561756014878 465340097470776 523507609654623 571099210532316 639842634022317 698010146206164 853123512029756 1047015219309246 1142198421064632 1279685268044634 1396020292412328 1570522828963869 1706247024059512 1919527902066951 2094030438618492 2559370536089268 3141045657927738 3839055804133902 4188060877236984 5118741072178536 5758583706200853 6282091315855476 7678111608267804 11517167412401706 12564182631710952 15356223216535608 17275751118602559 23034334824803412 34551502237205118 46068669649606824 69103004474410236 138206008948820472
- Sum of all divisors σ(n): 426095486283713400
- Sum of proper divisors (its aliquot sum) s(n): 287889477334892928
- 138206008948820472 is an abundant number, because the sum of its proper divisors (287889477334892928) is greater than itself. Its abundance is 149683468386072456
Bases of 138206008948820472
- Binary: 1111010110000000110100010000001010011100000001001111110002
- Hexadecimal: 0x1EB01A2053809F8
- Base-36: 11STXW0APZI0
Squares and roots of 138206008948820472
- 138206008948820472 squared (1382060089488204722) is 19100900909561444387851840086302784
- 138206008948820472 cubed (1382060089488204723) is 2639859282037382076194325490865617232680600249794048
-
The
square root of 138206008948820472 is 371760687.7398691171 -
The
cube root of 138206008948820472 is 517021.9427935365
Scales and comparisons
How big is 138206008948820472?- 138,206,008,948,820,472 seconds is equal to 4,394,523,585 years, 16 weeks, 3 days, 19 hours, 1 minute, 12 seconds.
-
To count from 1 to 138,206,008,948,820,472 would take you about thirteen billion, one hundred eighty-three million, five hundred seventy thousand, seven hundred fifty-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 138206008948820472 cubic inches would be around 43085.2 feet tall.
Recreational maths with 138206008948820472
- 138206008948820472 backwards is 274028849800602831
- 138206008948820472 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138206008948820472's digits is 72
- More coming soon!
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