106142832
106,142,832 is an even composite number composed of five prime numbers multiplied together.
106142832 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred sixty divisors.
Prime factorization of 106142832:
24 × 33 × 17 × 97 × 149
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 17 × 97 × 149)See below for interesting mathematical facts about the number 106142832 from the Numbermatics database.
Names of 106142832
- Cardinal: 106142832 can be written as One hundred six million, one hundred forty-two thousand, eight hundred thirty-two.
Scientific notation
- Scientific notation: 1.06142832 × 108
Factors of 106142832
Divisors of 106142832
- Number of divisors d(n): 160
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 97 102 108 136 144 149 153 194 204 216 272 291 298 306 388 408 432 447 459 582 596 612 776 816 873 894 918 1164 1192 1224 1341 1552 1649 1746 1788 1836 2328 2384 2448 2533 2619 2682 3298 3492 3576 3672 4023 4656 4947 5066 5238 5364 6596 6984 7152 7344 7599 8046 9894 10132 10476 10728 13192 13968 14453 14841 15198 16092 19788 20264 20952 21456 22797 26384 28906 29682 30396 32184 39576 40528 41904 43359 44523 45594 57812 59364 60792 64368 68391 79152 86718 89046 91188 115624 118728 121584 130077 136782 173436 178092 182376 231248 237456 245701 260154 273564 346872 356184 364752 390231 491402 520308 547128 693744 712368 737103 780462 982804 1040616 1094256 1474206 1560924 1965608 2081232 2211309 2948412 3121848 3931216 4422618 5896824 6243696 6633927 8845236 11793648 13267854 17690472 26535708 35380944 53071416 106142832
- Sum of all divisors σ(n): 328104000
- Sum of proper divisors (its aliquot sum) s(n): 221961168
- 106142832 is an abundant number, because the sum of its proper divisors (221961168) is greater than itself. Its abundance is 115818336
Bases of 106142832
- Binary: 1100101001110011100011100002
- Hexadecimal: 0x6539C70
- Base-36: 1R70C0
Squares and roots of 106142832
- 106142832 squared (1061428322) is 11266300784980224
- 106142832 cubed (1061428323) is 1195837071481624039354368
-
The
square root of 106142832 is 10302.5643409785 -
The
cube root of 106142832 is 473.4748229179
Scales and comparisons
How big is 106142832?- 106,142,832 seconds is equal to 3 years, 19 weeks, 3 days, 12 hours, 7 minutes, 12 seconds.
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To count from 1 to 106,142,832 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 106142832 cubic inches would be around 39.5 feet tall.
Recreational maths with 106142832
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