137161728
137,161,728 is an even composite number composed of four prime numbers multiplied together.
137161728 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of two hundred sixty-four divisors.
Prime factorization of 137161728:
210 × 33 × 112 × 41
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 11 × 11 × 41)See below for interesting mathematical facts about the number 137161728 from the Numbermatics database.
Names of 137161728
- Cardinal: 137161728 can be written as One hundred thirty-seven million, one hundred sixty-one thousand, seven hundred twenty-eight.
Scientific notation
- Scientific notation: 1.37161728 × 108
Factors of 137161728
Divisors of 137161728
- Number of divisors d(n): 264
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 41 44 48 54 64 66 72 82 88 96 99 108 121 123 128 132 144 164 176 192 198 216 242 246 256 264 288 297 328 352 363 369 384 396 432 451 484 492 512 528 576 594 656 704 726 738 768 792 864 902 968 984 1024 1056 1089 1107 1152 1188 1312 1353 1408 1452 1476 1536 1584 1728 1804 1936 1968 2112 2178 2214 2304 2376 2624 2706 2816 2904 2952 3072 3168 3267 3456 3608 3872 3936 4059 4224 4356 4428 4608 4752 4961 5248 5412 5632 5808 5904 6336 6534 6912 7216 7744 7872 8118 8448 8712 8856 9216 9504 9922 10496 10824 11264 11616 11808 12177 12672 13068 13824 14432 14883 15488 15744 16236 16896 17424 17712 19008 19844 20992 21648 23232 23616 24354 25344 26136 27648 28864 29766 30976 31488 32472 33792 34848 35424 38016 39688 41984 43296 44649 46464 47232 48708 50688 52272 57728 59532 61952 62976 64944 69696 70848 76032 79376 86592 89298 92928 94464 97416 101376 104544 115456 119064 123904 125952 129888 133947 139392 141696 152064 158752 173184 178596 185856 188928 194832 209088 230912 238128 259776 267894 278784 283392 304128 317504 346368 357192 371712 377856 389664 418176 461824 476256 519552 535788 557568 566784 635008 692736 714384 779328 836352 952512 1039104 1071576 1115136 1133568 1270016 1385472 1428768 1558656 1672704 1905024 2078208 2143152 2540032 2857536 3117312 3345408 3810048 4156416 4286304 5080064 5715072 6234624 7620096 8572608 11430144 12469248 15240192 17145216 22860288 34290432 45720576 68580864 137161728
- Sum of all divisors σ(n): 457381680
- Sum of proper divisors (its aliquot sum) s(n): 320219952
- 137161728 is an abundant number, because the sum of its proper divisors (320219952) is greater than itself. Its abundance is 183058224
Bases of 137161728
- Binary: 10000010110011101100000000002
- Hexadecimal: 0x82CEC00
- Base-36: 29NUO0
Squares and roots of 137161728
- 137161728 squared (1371617282) is 18813339627945984
- 137161728 cubed (1371617283) is 2580470172819948256100352
-
The
square root of 137161728 is 11711.6065507683 -
The
cube root of 137161728 is 515.7164477805
Scales and comparisons
How big is 137161728?- 137,161,728 seconds is equal to 4 years, 18 weeks, 5 days, 12 hours, 28 minutes, 48 seconds.
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To count from 1 to 137,161,728 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 137161728 cubic inches would be around 43 feet tall.
Recreational maths with 137161728
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