138524006016
138,524,006,016 is an even composite number composed of five prime numbers multiplied together.
What does the number 138524006016 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 480 divisors.
138524006016 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 138524006016:
27 × 32 × 114 × 43 × 191
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 11 × 11 × 11 × 11 × 43 × 191)See below for interesting mathematical facts about the number 138524006016 from the Numbermatics database.
Names of 138524006016
- Cardinal: 138524006016 can be written as One hundred thirty-eight billion, five hundred twenty-four million, six thousand and sixteen.
Scientific notation
- Scientific notation: 1.38524006016 × 1011
Factors of 138524006016
Divisors of 138524006016
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 43 44 48 64 66 72 86 88 96 99 121 128 129 132 144 172 176 191 192 198 242 258 264 288 344 352 363 382 384 387 396 473 484 516 528 573 576 688 704 726 764 774 792 946 968 1032 1056 1089 1146 1152 1331 1376 1408 1419 1452 1528 1548 1584 1719 1892 1936 2064 2101 2112 2178 2292 2662 2752 2838 2904 3056 3096 3168 3438 3784 3872 3993 4128 4202 4224 4257 4356 4584 5203 5324 5504 5676 5808 6112 6192 6303 6336 6876 7568 7744 7986 8213 8256 8404 8514 8712 9168 10406 10648 11352 11616 11979 12224 12384 12606 12672 13752 14641 15136 15488 15609 15972 16426 16512 16808 17028 17424 18336 18909 20812 21296 22704 23111 23232 23958 24448 24639 24768 25212 27504 29282 30272 31218 31944 32852 33616 34056 34848 36672 37818 41624 42592 43923 45408 46222 46464 46827 47916 49278 49536 50424 55008 57233 58564 60544 62436 63888 65704 67232 68112 69333 69696 73344 73917 75636 83248 85184 87846 90343 90816 92444 93654 95832 98556 100848 110016 114466 117128 124872 127776 131408 131769 134464 136224 138666 139392 147834 151272 166496 170368 171699 175692 180686 181632 184888 187308 191664 197112 201696 207999 220032 228932 234256 249744 254221 255552 262816 263538 268928 271029 272448 277332 295668 302544 332992 343398 351384 361372 369776 374616 383328 394224 403392 415998 457864 468512 499488 508442 511104 515097 525632 527076 542058 544896 554664 591336 605088 629563 665984 686796 702768 722744 739552 749232 762663 766656 788448 806784 813087 831996 915728 937024 993773 998976 1016884 1030194 1051264 1054152 1084116 1109328 1182672 1210176 1259126 1373592 1405536 1445488 1479104 1498464 1525326 1533312 1576896 1626174 1663992 1831456 1874048 1888689 1987546 1997952 2033768 2060388 2108304 2168232 2218656 2287989 2365344 2420352 2518252 2747184 2796431 2811072 2890976 2958208 2981319 2996928 3050652 3153792 3252348 3327984 3662912 3777378 3975092 4067536 4120776 4216608 4336464 4437312 4575978 4730688 5036504 5494368 5592862 5622144 5666067 5781952 5962638 5993856 6101304 6504696 6655968 7325824 7554756 7950184 8135072 8241552 8389293 8433216 8672928 8874624 8943957 9151956 9461376 10073008 10931503 10988736 11185724 11332134 11563904 11925276 12202608 13009392 13311936 15109512 15900368 16270144 16483104 16778586 16866432 17345856 17887914 18303912 20146016 21863006 21977472 22371448 22664268 23850552 24405216 25167879 26018784 26623872 30219024 31800736 32540288 32794509 32966208 33557172 34691712 35775828 36607824 40292032 43726012 44742896 45328536 47701104 48810432 50335758 52037568 60438048 63601472 65589018 65932416 67114344 71551656 73215648 80584064 87452024 89485792 90657072 95402208 97620864 98383527 100671516 104075136 120246533 120876096 127202944 131178036 134228688 143103312 146431296 174904048 178971584 181314144 190804416 196767054 201343032 240493066 241752192 262356072 268457376 286206624 292862592 349808096 357943168 360739599 362628288 381608832 393534108 402686064 480986132 524712144 536914752 572413248 699616192 721479198 725256576 787068216 805372128 961972264 1049424288 1073829504 1082218797 1144826496 1399232384 1442958396 1574136432 1610744256 1923944528 2098848576 2164437594 2885916792 3148272864 3221488512 3847889056 4197697152 4328875188 5771833584 6296545728 7695778112 8657750376 11543667168 12593091456 15391556224 17315500752 23087334336 34631001504 46174668672 69262003008 138524006016
- Sum of all divisors σ(n): 451022457600
- Sum of proper divisors (its aliquot sum) s(n): 312498451584
- 138524006016 is an abundant number, because the sum of its proper divisors (312498451584) is greater than itself. Its abundance is 173974445568
Bases of 138524006016
- Binary: 100000010000001010110010010110100000002
- Hexadecimal: 0x2040AC9680
- Base-36: 1RMXM740
Squares and roots of 138524006016
- 138524006016 squared (1385240060162) is 19188900242720804192256
- 138524006016 cubed (1385240060163) is 2658123332663080540136428164612096
-
The
square root of 138524006016 is 372188.1325566413 -
The
cube root of 138524006016 is 5174.1817622799
Scales and comparisons
How big is 138524006016?- 138,524,006,016 seconds is equal to 4,404 years, 33 weeks, 2 hours, 33 minutes, 36 seconds.
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To count from 1 to 138,524,006,016 would take you about eight thousand, eight hundred 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 138524006016 cubic inches would be around 431.2 feet tall.
Recreational maths with 138524006016
- 138524006016 backwards is 610600425831
- 138524006016 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138524006016's digits is 36
- More coming soon!
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