238142268
238,142,268 is an even composite number composed of six prime numbers multiplied together.
What does the number 238142268 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 240 divisors.
238142268 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 238142268:
22 × 34 × 7 × 13 × 41 × 197
(2 × 2 × 3 × 3 × 3 × 3 × 7 × 13 × 41 × 197)See below for interesting mathematical facts about the number 238142268 from the Numbermatics database.
Names of 238142268
- Cardinal: 238142268 can be written as Two hundred thirty-eight million, one hundred forty-two thousand, two hundred sixty-eight.
Scientific notation
- Scientific notation: 2.38142268 × 108
Factors of 238142268
Divisors of 238142268
- Number of divisors d(n): 240
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Complete list of divisors:
1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 41 42 52 54 63 78 81 82 84 91 108 117 123 126 156 162 164 182 189 197 234 246 252 273 287 324 351 364 369 378 394 468 492 533 546 567 574 591 702 738 756 788 819 861 1053 1066 1092 1107 1134 1148 1182 1379 1404 1476 1599 1638 1722 1773 2106 2132 2214 2268 2364 2457 2561 2583 2758 3198 3276 3321 3444 3546 3731 4137 4212 4428 4797 4914 5122 5166 5319 5516 6396 6642 7092 7371 7462 7683 7749 8077 8274 9594 9828 10244 10332 10638 11193 12411 13284 14391 14742 14924 15366 15498 15957 16154 16548 17927 19188 21276 22386 23049 23247 24231 24822 28782 29484 30732 30996 31914 32308 33579 35854 37233 43173 44772 46098 46494 48462 49644 53781 56539 57564 63828 67158 69147 71708 72693 74466 86346 92196 92988 96924 100737 105001 107562 111699 113078 134316 138294 145386 148932 161343 169617 172692 201474 207441 210002 215124 218079 223398 226156 276588 290772 302211 315003 322686 339234 402948 414882 420004 436158 446796 484029 508851 604422 630006 645372 654237 678468 735007 829764 872316 945009 968058 1017702 1208844 1260012 1308474 1452087 1470014 1526553 1890018 1936116 2035404 2205021 2616948 2835027 2904174 2940028 3053106 3780036 4410042 4579659 5670054 5808348 6106212 6615063 8505081 8820084 9159318 11340108 13230126 17010162 18318636 19845189 26460252 34020324 39690378 59535567 79380756 119071134 238142268
- Sum of all divisors σ(n): 788889024
- Sum of proper divisors (its aliquot sum) s(n): 550746756
- 238142268 is an abundant number, because the sum of its proper divisors (550746756) is greater than itself. Its abundance is 312604488
Bases of 238142268
- Binary: 11100011000111000011001111002
- Hexadecimal: 0xE31C33C
- Base-36: 3XS7R0
Squares and roots of 238142268
- 238142268 squared (2381422682) is 56711739808183824
- 238142268 cubed (2381422683) is 13505462340146780808272832
-
The
square root of 238142268 is 15431.8588640513 -
The
cube root of 238142268 is 619.8389002179
Scales and comparisons
How big is 238142268?- 238,142,268 seconds is equal to 7 years, 29 weeks, 5 days, 6 hours, 37 minutes, 48 seconds.
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To count from 1 to 238,142,268 would take you about eleven 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 238142268 cubic inches would be around 51.7 feet tall.
Recreational maths with 238142268
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