106089312
106,089,312 is an even composite number composed of five prime numbers multiplied together.
106089312 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 106089312:
25 × 3 × 72 × 19 × 1187
(2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 19 × 1187)See below for interesting mathematical facts about the number 106089312 from the Numbermatics database.
Names of 106089312
- Cardinal: 106089312 can be written as One hundred six million, eighty-nine thousand, three hundred twelve.
Scientific notation
- Scientific notation: 1.06089312 × 108
Factors of 106089312
Divisors of 106089312
- Number of divisors d(n): 144
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 49 56 57 76 84 96 98 112 114 133 147 152 168 196 224 228 266 294 304 336 392 399 456 532 588 608 672 784 798 912 931 1064 1176 1187 1568 1596 1824 1862 2128 2352 2374 2793 3192 3561 3724 4256 4704 4748 5586 6384 7122 7448 8309 9496 11172 12768 14244 14896 16618 18992 22344 22553 24927 28488 29792 33236 37984 44688 45106 49854 56976 58163 66472 67659 89376 90212 99708 113952 116326 132944 135318 157871 174489 180424 199416 232652 265888 270636 315742 348978 360848 398832 465304 473613 541272 631484 697956 721696 797664 930608 947226 1082544 1105097 1262968 1395912 1861216 1894452 2165088 2210194 2525936 2791824 3315291 3788904 4420388 5051872 5583648 6630582 7577808 8840776 13261164 15155616 17681552 26522328 35363104 53044656 106089312
- Sum of all divisors σ(n): 341288640
- Sum of proper divisors (its aliquot sum) s(n): 235199328
- 106089312 is an abundant number, because the sum of its proper divisors (235199328) is greater than itself. Its abundance is 129110016
Bases of 106089312
- Binary: 1100101001011001011011000002
- Hexadecimal: 0x652CB60
- Base-36: 1R5V1C
Squares and roots of 106089312
- 106089312 squared (1060893122) is 11254942120633344
- 106089312 cubed (1060893123) is 1194029066177812469219328
-
The
square root of 106089312 is 10299.9666018875 -
The
cube root of 106089312 is 473.3952300637
Scales and comparisons
How big is 106089312?- 106,089,312 seconds is equal to 3 years, 19 weeks, 2 days, 21 hours, 15 minutes, 12 seconds.
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To count from 1 to 106,089,312 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 106089312 cubic inches would be around 39.4 feet tall.
Recreational maths with 106089312
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