106464096
106,464,096 is an even composite number composed of five prime numbers multiplied together.
106464096 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 106464096:
25 × 32 × 37 × 97 × 103
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 37 × 97 × 103)See below for interesting mathematical facts about the number 106464096 from the Numbermatics database.
Names of 106464096
- Cardinal: 106464096 can be written as One hundred six million, four hundred sixty-four thousand and ninety-six.
Scientific notation
- Scientific notation: 1.06464096 × 108
Factors of 106464096
Divisors of 106464096
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 72 74 96 97 103 111 144 148 194 206 222 288 291 296 309 333 388 412 444 582 592 618 666 776 824 873 888 927 1164 1184 1236 1332 1552 1648 1746 1776 1854 2328 2472 2664 3104 3296 3492 3552 3589 3708 3811 4656 4944 5328 6984 7178 7416 7622 9312 9888 9991 10656 10767 11433 13968 14356 14832 15244 19982 21534 22866 27936 28712 29664 29973 30488 32301 34299 39964 43068 45732 57424 59946 60976 64602 68598 79928 86136 89919 91464 114848 119892 121952 129204 137196 159856 172272 179838 182928 239784 258408 274392 319712 344544 359676 365856 369667 479568 516816 548784 719352 739334 959136 1033632 1097568 1109001 1438704 1478668 2218002 2877408 2957336 3327003 4436004 5914672 6654006 8872008 11829344 13308012 17744016 26616024 35488032 53232048 106464096
- Sum of all divisors σ(n): 317195424
- Sum of proper divisors (its aliquot sum) s(n): 210731328
- 106464096 is an abundant number, because the sum of its proper divisors (210731328) is greater than itself. Its abundance is 104267232
Bases of 106464096
- Binary: 1100101100010000011011000002
- Hexadecimal: 0x6588360
- Base-36: 1RDW80
Squares and roots of 106464096
- 106464096 squared (1064640962) is 11334603737097216
- 106464096 cubed (1064640963) is 1206728340388276765556736
-
The
square root of 106464096 is 10318.1440191539 -
The
cube root of 106464096 is 473.9520327469
Scales and comparisons
How big is 106464096?- 106,464,096 seconds is equal to 3 years, 20 weeks, 5 hours, 21 minutes, 36 seconds.
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To count from 1 to 106,464,096 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 106464096 cubic inches would be around 39.5 feet tall.
Recreational maths with 106464096
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