117133128
117,133,128 is an even composite number composed of five prime numbers multiplied together.
117133128 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 117133128:
23 × 34 × 73 × 17 × 31
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 7 × 7 × 17 × 31)See below for interesting mathematical facts about the number 117133128 from the Numbermatics database.
Names of 117133128
- Cardinal: 117133128 can be written as One hundred seventeen million, one hundred thirty-three thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 1.17133128 × 108
Factors of 117133128
Divisors of 117133128
- Number of divisors d(n): 320
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 17 18 21 24 27 28 31 34 36 42 49 51 54 56 62 63 68 72 81 84 93 98 102 108 119 124 126 136 147 153 162 168 186 189 196 204 216 217 238 248 252 279 294 306 324 343 357 372 378 392 408 434 441 459 476 504 527 558 567 588 612 648 651 686 714 744 756 833 837 868 882 918 952 1029 1054 1071 1116 1134 1176 1224 1302 1323 1372 1377 1428 1512 1519 1581 1666 1674 1736 1764 1836 1953 2058 2108 2142 2232 2268 2499 2511 2604 2646 2744 2754 2856 3038 3087 3162 3213 3332 3348 3528 3672 3689 3906 3969 4116 4216 4284 4536 4557 4743 4998 5022 5208 5292 5508 5831 5859 6076 6174 6324 6426 6664 6696 7378 7497 7812 7938 8232 8568 9114 9261 9486 9639 9996 10044 10584 10633 11016 11067 11662 11718 12152 12348 12648 12852 13671 14229 14756 14994 15624 15876 17493 17577 18228 18522 18972 19278 19992 20088 21266 22134 22491 23324 23436 24696 25704 25823 27342 27783 28458 29512 29988 31752 31899 33201 34986 35154 36456 37044 37944 38556 41013 42532 42687 44268 44982 46648 46872 51646 52479 54684 55566 56916 59976 63798 66402 67473 69972 70308 74088 77112 77469 82026 85064 85374 88536 89964 95697 99603 103292 104958 109368 111132 113832 123039 127596 132804 134946 139944 140616 154938 157437 164052 170748 179928 180761 191394 199206 206584 209916 222264 232407 246078 255192 265608 269892 287091 298809 309876 314874 328104 341496 361522 382788 398412 419832 464814 472311 492156 539784 542283 574182 597618 619752 629748 697221 723044 765576 796824 861273 929628 944622 984312 1084566 1148364 1195236 1259496 1394442 1446088 1626849 1722546 1859256 1889244 2091663 2169132 2296728 2390472 2788884 3253698 3445092 3778488 4183326 4338264 4880547 5577768 6507396 6890184 8366652 9761094 13014792 14641641 16733304 19522188 29283282 39044376 58566564 117133128
- Sum of all divisors σ(n): 418176000
- Sum of proper divisors (its aliquot sum) s(n): 301042872
- 117133128 is an abundant number, because the sum of its proper divisors (301042872) is greater than itself. Its abundance is 183909744
Bases of 117133128
- Binary: 1101111101101001111010010002
- Hexadecimal: 0x6FB4F48
- Base-36: 1XQKI0
Squares and roots of 117133128
- 117133128 squared (1171331282) is 13720169675064384
- 117133128 cubed (1171331283) is 1607086390731034899313152
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The
square root of 117133128 is 10822.8059208323 -
The
cube root of 117133128 is 489.2827601725
Scales and comparisons
How big is 117133128?- 117,133,128 seconds is equal to 3 years, 37 weeks, 4 days, 16 hours, 58 minutes, 48 seconds.
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To count from 1 to 117,133,128 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 117133128 cubic inches would be around 40.8 feet tall.
Recreational maths with 117133128
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