106448640
106,448,640 is an even composite number composed of five prime numbers multiplied together.
106448640 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 106448640:
28 × 3 × 5 × 19 × 1459
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 19 × 1459)See below for interesting mathematical facts about the number 106448640 from the Numbermatics database.
Names of 106448640
- Cardinal: 106448640 can be written as One hundred six million, four hundred forty-eight thousand, six hundred forty.
Scientific notation
- Scientific notation: 1.0644864 × 108
Factors of 106448640
Divisors of 106448640
- Number of divisors d(n): 144
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 76 80 95 96 114 120 128 152 160 190 192 228 240 256 285 304 320 380 384 456 480 570 608 640 760 768 912 960 1140 1216 1280 1459 1520 1824 1920 2280 2432 2918 3040 3648 3840 4377 4560 4864 5836 6080 7295 7296 8754 9120 11672 12160 14590 14592 17508 18240 21885 23344 24320 27721 29180 35016 36480 43770 46688 55442 58360 70032 72960 83163 87540 93376 110884 116720 138605 140064 166326 175080 186752 221768 233440 277210 280128 332652 350160 373504 415815 443536 466880 554420 560256 665304 700320 831630 887072 933760 1108840 1120512 1330608 1400640 1663260 1774144 1867520 2217680 2661216 2801280 3326520 3548288 4435360 5322432 5602560 6653040 7096576 8870720 10644864 13306080 17741440 21289728 26612160 35482880 53224320 106448640
- Sum of all divisors σ(n): 358108800
- Sum of proper divisors (its aliquot sum) s(n): 251660160
- 106448640 is an abundant number, because the sum of its proper divisors (251660160) is greater than itself. Its abundance is 145211520
Bases of 106448640
- Binary: 1100101100001000111000000002
- Hexadecimal: 0x6584700
- Base-36: 1RDKAO
Squares and roots of 106448640
- 106448640 squared (1064486402) is 11331312957849600
- 106448640 cubed (1064486403) is 1206202853777467244544000
-
The
square root of 106448640 is 10317.3950200619 -
The
cube root of 106448640 is 473.9290961969
Scales and comparisons
How big is 106448640?- 106,448,640 seconds is equal to 3 years, 20 weeks, 1 hour, 4 minutes.
-
To count from 1 to 106,448,640 would take you about 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 106448640 cubic inches would be around 39.5 feet tall.
Recreational maths with 106448640
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