135116352
135,116,352 is an even composite number composed of six prime numbers multiplied together.
135116352 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 135116352:
26 × 32 × 7 × 23 × 31 × 47
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 23 × 31 × 47)See below for interesting mathematical facts about the number 135116352 from the Numbermatics database.
Names of 135116352
- Cardinal: 135116352 can be written as One hundred thirty-five million, one hundred sixteen thousand, three hundred fifty-two.
Scientific notation
- Scientific notation: 1.35116352 × 108
Factors of 135116352
Divisors of 135116352
- Number of divisors d(n): 336
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 31 32 36 42 46 47 48 56 62 63 64 69 72 84 92 93 94 96 112 124 126 138 141 144 161 168 184 186 188 192 207 217 224 248 252 276 279 282 288 322 329 336 368 372 376 414 423 434 448 483 496 504 552 558 564 576 644 651 658 672 713 736 744 752 828 846 868 966 987 992 1008 1081 1104 1116 1128 1288 1302 1316 1344 1426 1449 1457 1472 1488 1504 1656 1692 1736 1932 1953 1974 1984 2016 2139 2162 2208 2232 2256 2576 2604 2632 2852 2898 2914 2961 2976 3008 3243 3312 3384 3472 3864 3906 3948 4032 4278 4324 4371 4416 4464 4512 4991 5152 5208 5264 5704 5796 5828 5922 5952 6417 6486 6624 6768 6944 7567 7728 7812 7896 8556 8648 8742 8928 9024 9729 9982 10199 10304 10416 10528 11408 11592 11656 11844 12834 12972 13113 13248 13536 13888 14973 15134 15456 15624 15792 17112 17296 17484 17856 19458 19964 20398 20832 21056 22701 22816 23184 23312 23688 25668 25944 26226 27072 29946 30268 30597 30912 31248 31584 33511 34224 34592 34968 38916 39928 40796 41664 44919 45402 45632 46368 46624 47376 51336 51888 52452 59892 60536 61194 62496 63168 67022 68103 68448 69184 69936 77832 79856 81592 89838 90804 91791 92736 93248 94752 100533 102672 103776 104904 119784 121072 122388 124992 134044 136206 136896 139872 155664 159712 163184 179676 181608 183582 189504 201066 205344 207552 209808 234577 239568 242144 244776 268088 272412 279744 301599 311328 319424 326368 359352 363216 367164 402132 410688 419616 469154 479136 484288 489552 536176 544824 603198 622656 652736 703731 718704 726432 734328 804264 839232 938308 958272 979104 1072352 1089648 1206396 1407462 1437408 1452864 1468656 1608528 1876616 1958208 2111193 2144704 2179296 2412792 2814924 2874816 2937312 3217056 3753232 4222386 4358592 4825584 5629848 5874624 6434112 7506464 8444772 9651168 11259696 15012928 16889544 19302336 22519392 33779088 45038784 67558176 135116352
- Sum of all divisors σ(n): 486899712
- Sum of proper divisors (its aliquot sum) s(n): 351783360
- 135116352 is an abundant number, because the sum of its proper divisors (351783360) is greater than itself. Its abundance is 216667008
Bases of 135116352
- Binary: 10000000110110110110010000002
- Hexadecimal: 0x80DB640
- Base-36: 28G0G0
Squares and roots of 135116352
- 135116352 squared (1351163522) is 18256428577787904
- 135116352 cubed (1351163523) is 2466742029979249818206208
-
The
square root of 135116352 is 11623.9559531169 -
The
cube root of 135116352 is 513.1401188103
Scales and comparisons
How big is 135116352?- 135,116,352 seconds is equal to 4 years, 15 weeks, 2 days, 20 hours, 19 minutes, 12 seconds.
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To count from 1 to 135,116,352 would take you about six 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 135116352 cubic inches would be around 42.8 feet tall.
Recreational maths with 135116352
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