106938118144
106,938,118,144 is an even composite number composed of six prime numbers multiplied together.
106938118144 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred sixteen divisors.
Prime factorization of 106938118144:
212 × 11 × 13 × 41 × 61 × 73
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 11 × 13 × 41 × 61 × 73)See below for interesting mathematical facts about the number 106938118144 from the Numbermatics database.
Names of 106938118144
- Cardinal: 106938118144 can be written as One hundred six billion, nine hundred thirty-eight million, one hundred eighteen thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 1.06938118144 × 1011
Factors of 106938118144
Divisors of 106938118144
- Number of divisors d(n): 416
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Complete list of divisors:
1 2 4 8 11 13 16 22 26 32 41 44 52 61 64 73 82 88 104 122 128 143 146 164 176 208 244 256 286 292 328 352 416 451 488 512 533 572 584 656 671 704 793 803 832 902 949 976 1024 1066 1144 1168 1312 1342 1408 1586 1606 1664 1804 1898 1952 2048 2132 2288 2336 2501 2624 2684 2816 2993 3172 3212 3328 3608 3796 3904 4096 4264 4453 4576 4672 5002 5248 5368 5632 5863 5986 6344 6424 6656 7216 7592 7808 8528 8723 8906 9152 9344 10004 10439 10496 10736 11264 11726 11972 12688 12848 13312 14432 15184 15616 17056 17446 17812 18304 18688 20008 20878 20992 21472 22528 23452 23944 25376 25696 26624 27511 28864 30368 31232 32513 32923 34112 34892 35624 36608 37376 38909 40016 41756 41984 42944 45056 46904 47888 48983 50752 51392 53248 55022 57728 57889 60736 62464 65026 65846 68224 69784 71248 73216 74752 77818 80032 83512 83968 85888 93808 95776 97966 101504 102784 110044 115456 115778 121472 124928 130052 131692 136448 139568 142496 146432 149504 155636 160064 167024 167936 171776 182573 187616 191552 195932 203008 205568 220088 230912 231556 242944 249856 260104 263384 272896 279136 284992 292864 299008 311272 320128 334048 343552 357643 365146 375232 383104 391864 406016 411136 427999 440176 461824 463112 485888 520208 526768 545792 558272 569984 585728 622544 636779 640256 668096 687104 715286 730292 750464 766208 783728 812032 822272 855998 880352 923648 926224 971776 1040416 1053536 1091584 1116544 1139968 1245088 1273558 1280512 1336192 1374208 1430572 1460584 1500928 1532416 1567456 1624064 1644544 1711996 1760704 1847296 1852448 1943552 2008303 2080832 2107072 2183168 2233088 2279936 2373449 2490176 2547116 2561024 2672384 2748416 2861144 2921168 3001856 3064832 3134912 3248128 3289088 3423992 3521408 3704896 3887104 4016606 4161664 4214144 4466176 4559872 4746898 4980352 5094232 5122048 5344768 5722288 5842336 6003712 6129664 6269824 6847984 7042816 7409792 8033212 8323328 8428288 8932352 9119744 9493796 9960704 10188464 10244096 10689536 11444576 11684672 12007424 12259328 12539648 13695968 14085632 14819584 16066424 16646656 16856576 17864704 18239488 18987592 19921408 20376928 21379072 22889152 23369344 24014848 25079296 26107939 27391936 28171264 29639168 32132848 33293312 33713152 35729408 37975184 39842816 40753856 42758144 45778304 46738688 50158592 52215878 54783872 56342528 59278336 64265696 66586624 67426304 75950368 79685632 81507712 91556608 93477376 100317184 104431756 109567744 112685056 118556672 128531392 133173248 134852608 151900736 159371264 163015424 183113216 186954752 200634368 208863512 219135488 237113344 257062784 303801472 326030848 366226432 373909504 417727024 438270976 514125568 607602944 652061696 732452864 747819008 835454048 876541952 1028251136 1215205888 1304123392 1464905728 1670908096 1753083904 2056502272 2430411776 2608246784 3341816192 4113004544 4860823552 6683632384 8226009088 9721647104 13367264768 26734529536 53469059072 106938118144
- Sum of all divisors σ(n): 265166653248
- Sum of proper divisors (its aliquot sum) s(n): 158228535104
- 106938118144 is an abundant number, because the sum of its proper divisors (158228535104) is greater than itself. Its abundance is 51290416960
Bases of 106938118144
- Binary: 11000111001100000001000110000000000002
- Hexadecimal: 0x18E6023000
- Base-36: 1D4K701S
Squares and roots of 106938118144
- 106938118144 squared (1069381181442) is 11435761112180102004736
- 106938118144 cubed (1069381181443) is 1222918772880876585588429615529984
-
The
square root of 106938118144 is 327013.9418189995 -
The
cube root of 106938118144 is 4746.5440145613
Scales and comparisons
How big is 106938118144?- 106,938,118,144 seconds is equal to 3,400 years, 15 weeks, 4 days, 16 hours, 49 minutes, 4 seconds.
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To count from 1 to 106,938,118,144 would take you about six thousand, eight hundred 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 106938118144 cubic inches would be around 395.5 feet tall.
Recreational maths with 106938118144
- 106938118144 backwards is 441811839601
- The number of decimal digits it has is: 12
- The sum of 106938118144's digits is 46
- More coming soon!
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The information we have on file for 106938118144 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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