105742016064
105,742,016,064 is an even composite number composed of six prime numbers multiplied together.
105742016064 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 105742016064:
26 × 32 × 17 × 29 × 73 × 5101
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 17 × 29 × 73 × 5101)See below for interesting mathematical facts about the number 105742016064 from the Numbermatics database.
Names of 105742016064
- Cardinal: 105742016064 can be written as One hundred five billion, seven hundred forty-two million, sixteen thousand and sixty-four.
Scientific notation
- Scientific notation: 1.05742016064 × 1011
Factors of 105742016064
Divisors of 105742016064
- Number of divisors d(n): 336
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 17 18 24 29 32 34 36 48 51 58 64 68 72 73 87 96 102 116 136 144 146 153 174 192 204 219 232 261 272 288 292 306 348 408 438 464 493 522 544 576 584 612 657 696 816 876 928 986 1044 1088 1168 1224 1241 1314 1392 1479 1632 1752 1856 1972 2088 2117 2336 2448 2482 2628 2784 2958 3264 3504 3723 3944 4176 4234 4437 4672 4896 4964 5101 5256 5568 5916 6351 7008 7446 7888 8352 8468 8874 9792 9928 10202 10512 11169 11832 12702 14016 14892 15303 15776 16704 16936 17748 19053 19856 20404 21024 22338 23664 25404 29784 30606 31552 33872 35496 35989 38106 39712 40808 42048 44676 45909 47328 50808 59568 61212 67744 70992 71978 76212 79424 81616 86717 89352 91818 94656 101616 107967 119136 122424 135488 141984 143956 147929 152424 163232 173434 178704 183636 203232 215934 238272 244848 260151 283968 287912 295858 304848 323901 326464 346868 357408 367272 372373 406464 431868 443787 489696 520302 575824 591716 609696 647802 693736 714816 734544 744746 780453 863736 887574 979392 1040604 1117119 1151648 1183432 1219392 1295604 1331361 1387472 1469088 1489492 1560906 1727472 1775148 2081208 2234238 2303296 2366864 2514793 2591208 2662722 2774944 2938176 2978984 3121812 3351357 3454944 3550296 4162416 4468476 4733728 5029586 5182416 5325444 5549888 5957968 6243624 6330341 6702714 6909888 7100592 7544379 8324832 8936952 9467456 10059172 10364832 10650888 10798817 11915936 12487248 12660682 13405428 14201184 15088758 16649664 17873904 18991023 20118344 20729664 21301776 21597634 22633137 23831872 24974496 25321364 26810856 28402368 30177516 32396451 35747808 37982046 40236688 42603552 43195268 45266274 49948992 50642728 53621712 56973069 60355032 64792902 71495616 75964092 80473376 85207104 86390536 90532548 97189353 101285456 107243424 113946138 120710064 129585804 151928184 160946752 172781072 181065096 183579889 194378706 202570912 214486848 227892276 241420128 259171608 303856368 345562144 362130192 367159778 388757412 405141824 455784552 482840256 518343216 550739667 607712736 691124288 724260384 734319556 777514824 911569104 1036686432 1101479334 1215425472 1448520768 1468639112 1555029648 1652219001 1823138208 2073372864 2202958668 2937278224 3110059296 3304438002 3646276416 4405917336 5874556448 6220118592 6608876004 8811834672 11749112896 13217752008 17623669344 26435504016 35247338688 52871008032 105742016064
- Sum of all divisors σ(n): 336599143920
- Sum of proper divisors (its aliquot sum) s(n): 230857127856
- 105742016064 is an abundant number, because the sum of its proper divisors (230857127856) is greater than itself. Its abundance is 125115111792
Bases of 105742016064
- Binary: 11000100111101011011100011110010000002
- Hexadecimal: 0x189EB71E40
- Base-36: 1CKS2DS0
Squares and roots of 105742016064
- 105742016064 squared (1057420160642) is 11181373961279234052096
- 105742016064 cubed (1057420160643) is 1182341025031180081126351044870144
-
The
square root of 105742016064 is 325179.9748816031 -
The
cube root of 105742016064 is 4728.7809355335
Scales and comparisons
How big is 105742016064?- 105,742,016,064 seconds is equal to 3,362 years, 13 weeks, 6 days, 22 hours, 14 minutes, 24 seconds.
-
To count from 1 to 105,742,016,064 would take you about six thousand, seven hundred twenty-four 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 105742016064 cubic inches would be around 394.1 feet tall.
Recreational maths with 105742016064
- 105742016064 backwards is 460610247501
- 105742016064 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 105742016064's digits is 36
- More coming soon!
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The information we have on file for 105742016064 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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