107138416
107,138,416 is an even composite number composed of six prime numbers multiplied together.
107138416 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred sixty divisors.
Prime factorization of 107138416:
24 × 7 × 11 × 19 × 23 × 199
(2 × 2 × 2 × 2 × 7 × 11 × 19 × 23 × 199)See below for interesting mathematical facts about the number 107138416 from the Numbermatics database.
Names of 107138416
- Cardinal: 107138416 can be written as One hundred seven million, one hundred thirty-eight thousand, four hundred sixteen.
Scientific notation
- Scientific notation: 1.07138416 × 108
Factors of 107138416
Divisors of 107138416
- Number of divisors d(n): 160
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Complete list of divisors:
1 2 4 7 8 11 14 16 19 22 23 28 38 44 46 56 76 77 88 92 112 133 152 154 161 176 184 199 209 253 266 304 308 322 368 398 418 437 506 532 616 644 796 836 874 1012 1064 1232 1288 1393 1463 1592 1672 1748 1771 2024 2128 2189 2576 2786 2926 3059 3184 3344 3496 3542 3781 4048 4378 4577 4807 5572 5852 6118 6992 7084 7562 8756 9154 9614 11144 11704 12236 14168 15124 15323 17512 18308 19228 22288 23408 24472 26467 28336 30248 30646 32039 33649 35024 36616 38456 41591 48944 50347 52934 60496 61292 64078 67298 73232 76912 83182 86963 100694 105868 122584 128156 134596 166364 173926 201388 211736 245168 256312 269192 291137 332728 347852 352429 402776 423472 512624 538384 582274 608741 665456 695704 704858 805552 956593 1164548 1217482 1391408 1409716 1913186 2329096 2434964 2819432 3826372 4658192 4869928 5638864 6696151 7652744 9739856 13392302 15305488 26784604 53569208 107138416
- Sum of all divisors σ(n): 285696000
- Sum of proper divisors (its aliquot sum) s(n): 178557584
- 107138416 is an abundant number, because the sum of its proper divisors (178557584) is greater than itself. Its abundance is 71419168
Bases of 107138416
- Binary: 1100110001011001101011100002
- Hexadecimal: 0x662CD70
- Base-36: 1RSCJ4
Squares and roots of 107138416
- 107138416 squared (1071384162) is 11478640182989056
- 107138416 cubed (1071384163) is 1229803327039397605175296
-
The
square root of 107138416 is 10350.7688603313 -
The
cube root of 107138416 is 474.9505632759
Scales and comparisons
How big is 107138416?- 107,138,416 seconds is equal to 3 years, 21 weeks, 1 day, 40 minutes, 16 seconds.
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To count from 1 to 107,138,416 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 107138416 cubic inches would be around 39.6 feet tall.
Recreational maths with 107138416
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