130584873687643440
130,584,873,687,643,440 is an even composite number composed of six prime numbers multiplied together.
130584873687643440 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 130584873687643440:
24 × 32 × 5 × 13 × 131 × 106499048809
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 13 × 131 × 106499048809)See below for interesting mathematical facts about the number 130584873687643440 from the Numbermatics database.
Names of 130584873687643440
- Cardinal: 130584873687643440 can be written as One hundred thirty quadrillion, five hundred eighty-four trillion, eight hundred seventy-three billion, six hundred eighty-seven million, six hundred forty-three thousand, four hundred forty.
Scientific notation
- Scientific notation: 1.3058487368764344 × 1017
Factors of 130584873687643440
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 10
- Sum of prime factors: 106499048963
Divisors of 130584873687643440
- Number of divisors d(n): 240
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 36 39 40 45 48 52 60 65 72 78 80 90 104 117 120 130 131 144 156 180 195 208 234 240 260 262 312 360 390 393 468 520 524 585 624 655 720 780 786 936 1040 1048 1170 1179 1310 1560 1572 1703 1872 1965 2096 2340 2358 2620 3120 3144 3406 3930 4680 4716 5109 5240 5895 6288 6812 7860 8515 9360 9432 10218 10480 11790 13624 15327 15720 17030 18864 20436 23580 25545 27248 30654 31440 34060 40872 47160 51090 61308 68120 76635 81744 94320 102180 122616 136240 153270 204360 245232 306540 408720 613080 1226160 106499048809 212998097618 319497146427 425996195236 532495244045 638994292854 851992390472 958491439281 1064990488090 1277988585708 1384487634517 1597485732135 1703984780944 1916982878562 2129980976180 2555977171416 2768975269034 3194971464270 3833965757124 4153462903551 4259961952360 4792457196405 5111954342832 5537950538068 6389942928540 6922438172585 7667931514248 8306925807102 8519923904720 9584914392810 11075901076136 12460388710653 12779885857080 13844876345170 13951375393979 15335863028496 16613851614204 19169828785620 20767314517755 22151802152272 24920777421306 25559771714160 27689752690340 27902750787958 33227703228408 38339657571240 41534629035510 41854126181937 49841554842612 55379505380680 55805501575916 62301943553265 66455406456816 69756876969895 76679315142480 83069258071020 83708252363874 99683109685224 110759010761360 111611003151832 124603887106530 125562378545811 139513753939790 166138516142040 167416504727748 181367880121727 199366219370448 209270630909685 223222006303664 249207774213060 251124757091622 279027507879580 332277032284080 334833009455496 362735760243454 418541261819370 498415548426120 502249514183244 544103640365181 558055015759160 627811892729055 669666018910992 725471520486908 837082523638740 906839400608635 996831096852240 1004499028366488 1088207280730362 1116110031518320 1255623785458110 1450943040973816 1632310921095543 1674165047277480 1813678801217270 2008998056732976 2176414561460724 2511247570916220 2720518201825905 2901886081947632 3264621842191086 3348330094554960 3627357602434540 4352829122921448 5022495141832440 5441036403651810 6529243684382172 7254715204869080 8161554605477715 8705658245842896 10044990283664880 10882072807303620 13058487368764344 14509430409738160 16323109210955430 21764145614607240 26116974737528688 32646218421910860 43528291229214480 65292436843821720 130584873687643440
- Sum of all divisors σ(n): 475887165641727840
- Sum of proper divisors (its aliquot sum) s(n): 345302291954084400
- 130584873687643440 is an abundant number, because the sum of its proper divisors (345302291954084400) is greater than itself. Its abundance is 214717418266440960
Bases of 130584873687643440
- Binary: 1110011111110111001000000001100010011000011110101001100002
- Hexadecimal: 0x1CFEE403130F530
- Base-36: ZPSH2SW3JG0
Squares and roots of 130584873687643440
- 130584873687643440 squared (1305848736876434402) is 17052409236017792036219740575033600
- 130584873687643440 cubed (1305848736876434403) is 2226786706155387746133212640074456631656482819584000
-
The
square root of 130584873687643440 is 361365291.2049570927 -
The
cube root of 130584873687643440 is 507338.2709199953
Scales and comparisons
How big is 130584873687643440?- 130,584,873,687,643,440 seconds is equal to 4,152,195,057 years, 38 weeks, 9 hours, 24 minutes.
-
To count from 1 to 130,584,873,687,643,440 would take you about twelve billion, four hundred fifty-six million, five hundred eighty-five thousand, one hundred seventy-three 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 130584873687643440 cubic inches would be around 42278.2 feet tall.
Recreational maths with 130584873687643440
- 130584873687643440 backwards is 044346786378485031
- The number of decimal digits it has is: 18
- The sum of 130584873687643440's digits is 81
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 130584873687643440 - Facts about the integer". Numbermatics.com. 2024. Web. 28 May 2024.
APA style:
Numbermatics. (2024). Number 130584873687643440 - Facts about the integer. Retrieved 28 May 2024, from https://numbermatics.com/n/130584873687643440/
Chicago style:
Numbermatics. 2024. "Number 130584873687643440 - Facts about the integer". https://numbermatics.com/n/130584873687643440/
The information we have on file for 130584873687643440 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 130584873687643440, math, Factors of 130584873687643440, curriculum, school, college, exams, university, Prime factorization of 130584873687643440, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty quadrillion, five hundred eighty-four trillion, eight hundred seventy-three billion, six hundred eighty-seven million, six hundred forty-three thousand, four hundred forty.