130370688
130,370,688 is an even composite number composed of five prime numbers multiplied together.
130370688 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 130370688:
27 × 33 × 7 × 17 × 317
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 17 × 317)See below for interesting mathematical facts about the number 130370688 from the Numbermatics database.
Names of 130370688
- Cardinal: 130370688 can be written as One hundred thirty million, three hundred seventy thousand, six hundred eighty-eight.
Scientific notation
- Scientific notation: 1.30370688 × 108
Factors of 130370688
Divisors of 130370688
- Number of divisors d(n): 256
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 27 28 32 34 36 42 48 51 54 56 63 64 68 72 84 96 102 108 112 119 126 128 136 144 153 168 189 192 204 216 224 238 252 272 288 306 317 336 357 378 384 408 432 448 459 476 504 544 576 612 634 672 714 756 816 864 896 918 951 952 1008 1071 1088 1152 1224 1268 1344 1428 1512 1632 1728 1836 1902 1904 2016 2142 2176 2219 2448 2536 2688 2853 2856 3024 3213 3264 3456 3672 3804 3808 4032 4284 4438 4896 5072 5389 5706 5712 6048 6426 6528 6657 7344 7608 7616 8064 8559 8568 8876 9792 10144 10778 11412 11424 12096 12852 13314 14688 15216 15232 16167 17118 17136 17752 19584 19971 20288 21556 22824 22848 24192 25704 26628 29376 30432 32334 34236 34272 35504 37723 39942 40576 43112 45648 45696 48501 51408 53256 58752 59913 60864 64668 68472 68544 71008 75446 79884 86224 91296 97002 102816 106512 113169 119826 121728 129336 136944 137088 142016 145503 150892 159768 172448 182592 194004 205632 213024 226338 239652 258672 273888 284032 291006 301784 319536 339507 344896 365184 388008 411264 426048 452676 479304 517344 547776 582012 603568 639072 679014 689792 776016 852096 905352 958608 1018521 1034688 1095552 1164024 1207136 1278144 1358028 1552032 1810704 1917216 2037042 2069376 2328048 2414272 2556288 2716056 3104064 3621408 3834432 4074084 4656096 4828544 5432112 6208128 7242816 7668864 8148168 9312192 10864224 14485632 16296336 18624384 21728448 32592672 43456896 65185344 130370688
- Sum of all divisors σ(n): 467078400
- Sum of proper divisors (its aliquot sum) s(n): 336707712
- 130370688 is an abundant number, because the sum of its proper divisors (336707712) is greater than itself. Its abundance is 206337024
Bases of 130370688
- Binary: 1111100010101001100100000002
- Hexadecimal: 0x7C54C80
- Base-36: 25MAO0
Squares and roots of 130370688
- 130370688 squared (1303706882) is 16996516289593344
- 130370688 cubed (1303706883) is 2215847522277491497500672
-
The
square root of 130370688 is 11417.9984235417 -
The
cube root of 130370688 is 507.0607398957
Scales and comparisons
How big is 130370688?- 130,370,688 seconds is equal to 4 years, 7 weeks, 3 days, 22 hours, 4 minutes, 48 seconds.
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To count from 1 to 130,370,688 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 130370688 cubic inches would be around 42.3 feet tall.
Recreational maths with 130370688
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