138848938416
138,848,938,416 is an even composite number composed of six prime numbers multiplied together.
What does the number 138848938416 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 240 divisors.
138848938416 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 138848938416:
24 × 32 × 19 × 281 × 313 × 577
(2 × 2 × 2 × 2 × 3 × 3 × 19 × 281 × 313 × 577)See below for interesting mathematical facts about the number 138848938416 from the Numbermatics database.
Names of 138848938416
- Cardinal: 138848938416 can be written as One hundred thirty-eight billion, eight hundred forty-eight million, nine hundred thirty-eight thousand, four hundred sixteen.
Scientific notation
- Scientific notation: 1.38848938416 × 1011
Factors of 138848938416
Divisors of 138848938416
- Number of divisors d(n): 240
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 281 304 313 342 456 562 577 626 684 843 912 939 1124 1154 1252 1368 1686 1731 1878 2248 2308 2504 2529 2736 2817 3372 3462 3756 4496 4616 5008 5058 5193 5339 5634 5947 6744 6924 7512 9232 10116 10386 10678 10963 11268 11894 13488 13848 15024 16017 17841 20232 20772 21356 21926 22536 23788 27696 32034 32889 35682 40464 41544 42712 43852 45072 47576 48051 53523 64068 65778 71364 83088 85424 87704 87953 95152 96102 98667 107046 128136 131556 142728 162137 175408 175906 180601 192204 197334 214092 256272 263112 263859 285456 324274 351812 361202 384408 394668 428184 486411 526224 527718 541803 648548 703624 722404 768816 789336 791577 856368 972822 1055436 1083606 1297096 1407248 1444808 1459233 1578672 1583154 1625409 1671107 1945644 2110872 2167212 2594192 2889616 2918466 3080603 3166308 3250818 3342214 3431419 3891288 4221744 4334424 5013321 5836932 6161206 6332616 6501636 6684428 6862838 7782576 8668848 9241809 10026642 10294257 11673864 12322412 12665232 13003272 13368856 13725676 15039963 18483618 20053284 20588514 23347728 24644824 26006544 26737712 27451352 27725427 30079926 30882771 36967236 40106568 41177028 49289648 50748881 54902704 55450854 60159852 61765542 73934472 80213136 82354056 101497762 110901708 120319704 123531084 147868944 152246643 164708112 202995524 221803416 240639408 247062168 304493286 405991048 443606832 456739929 494124336 608986572 811982096 913479858 964228739 1217973144 1826959716 1928457478 2435946288 2892686217 3653919432 3856914956 5785372434 7307838864 7713829912 8678058651 11570744868 15427659824 17356117302 23141489736 34712234604 46282979472 69424469208 138848938416
- Sum of all divisors σ(n): 412516796640
- Sum of proper divisors (its aliquot sum) s(n): 273667858224
- 138848938416 is an abundant number, because the sum of its proper divisors (273667858224) is greater than itself. Its abundance is 134818919808
Bases of 138848938416
- Binary: 100000010101000000101010101001101100002
- Hexadecimal: 0x20540AA9B0
- Base-36: 1RSB2MK0
Squares and roots of 138848938416
- 138848938416 squared (1388489384162) is 19279027699250160589056
- 138848938416 cubed (1388489384163) is 2676872529733543717007946827575296
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The
square root of 138848938416 is 372624.3932111799 -
The
cube root of 138848938416 is 5178.2242540079
Scales and comparisons
How big is 138848938416?- 138,848,938,416 seconds is equal to 4,414 years, 50 weeks, 1 day, 21 hours, 33 minutes, 36 seconds.
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To count from 1 to 138,848,938,416 would take you about eight thousand, eight 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 138848938416 cubic inches would be around 431.5 feet tall.
Recreational maths with 138848938416
- 138848938416 backwards is 614839848831
- The number of decimal digits it has is: 12
- The sum of 138848938416's digits is 63
- More coming soon!
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