131957277116036736
131,957,277,116,036,736 is an even composite number composed of six prime numbers multiplied together.
131957277116036736 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 131957277116036736:
27 × 3 × 7 × 13 × 3389 × 1114266721
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 13 × 3389 × 1114266721)See below for interesting mathematical facts about the number 131957277116036736 from the Numbermatics database.
Names of 131957277116036736
- Cardinal: 131957277116036736 can be written as One hundred thirty-one quadrillion, nine hundred fifty-seven trillion, two hundred seventy-seven billion, one hundred sixteen million, thirty-six thousand, seven hundred thirty-six.
Scientific notation
- Scientific notation: 1.31957277116036736 × 1017
Factors of 131957277116036736
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 12
- Sum of prime factors: 1114270135
Divisors of 131957277116036736
- Number of divisors d(n): 256
-
Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 128 156 168 182 192 208 224 273 312 336 364 384 416 448 546 624 672 728 832 896 1092 1248 1344 1456 1664 2184 2496 2688 2912 3389 4368 4992 5824 6778 8736 10167 11648 13556 17472 20334 23723 27112 34944 40668 44057 47446 54224 71169 81336 88114 94892 108448 132171 142338 162672 176228 189784 216896 264342 284676 308399 325344 352456 379568 433792 528684 569352 616798 650688 704912 759136 925197 1057368 1138704 1233596 1301376 1409824 1518272 1850394 2114736 2277408 2467192 2819648 3036544 3700788 4229472 4554816 4934384 5639296 7401576 8458944 9109632 9868768 14803152 16917888 19737536 29606304 39475072 59212608 118425216 1114266721 2228533442 3342800163 4457066884 6685600326 7799867047 8914133768 13371200652 14485467373 15599734094 17828267536 23399601141 26742401304 28970934746 31199468188 35656535072 43456402119 46799202282 53484802608 57941869492 62398936376 71313070144 86912804238 93598404564 101398271611 106969605216 115883738984 124797872752 142626140288 173825608476 187196809128 202796543222 213939210432 231767477968 249595745504 304194814833 347651216952 374393618256 405593086444 427878420864 463534955936 499191491008 608389629666 695302433904 748787236512 811186172888 927069911872 998382982016 1216779259332 1390604867808 1497574473024 1622372345776 1854139823744 2433558518664 2781209735616 2995148946048 3244744691552 3776249917469 4867117037328 5562419471232 6489489383104 7552499834938 9734234074656 11328749752407 12978978766208 15104999669876 19468468149312 22657499504814 26433749422283 30209999339752 38936936298624 45314999009628 49091248927097 52867498844566 60419998679504 79301248266849 90629998019256 98182497854194 105734997689132 120839997359008 147273746781291 158602496533698 181259996038512 196364995708388 211469995378264 241679994718016 294547493562582 317204993067396 343638742489679 362519992077024 392729991416776 422939990756528 483359989436032 589094987125164 634409986134792 687277484979358 725039984154048 785459982833552 845879981513056 1030916227469037 1178189974250328 1268819972269584 1374554969958716 1450079968308096 1570919965667104 1691759963026112 2061832454938074 2356379948500656 2537639944539168 2749109939917432 3141839931334208 3383519926052224 4123664909876148 4712759897001312 5075279889078336 5498219879834864 6283679862668416 8247329819752296 9425519794002624 10150559778156672 10996439759669728 16494659639504592 18851039588005248 21992879519339456 32989319279009184 43985759038678912 65978638558018368 131957277116036736
- Sum of all divisors σ(n): 431526084789139200
- Sum of proper divisors (its aliquot sum) s(n): 299568807673102464
- 131957277116036736 is an abundant number, because the sum of its proper divisors (299568807673102464) is greater than itself. Its abundance is 167611530557065728
Bases of 131957277116036736
- Binary: 1110101001100111001110001110001000000011101110110100000002
- Hexadecimal: 0x1D4CE71C4077680
- Base-36: 103AY88EYGLC
Squares and roots of 131957277116036736
- 131957277116036736 squared (1319572771160367362) is 17412722983878512442520268101533696
- 131957277116036736 cubed (1319572771160367363) is 2297735512128438940647036800353785572252678677856256
-
The
square root of 131957277116036736 is 363259242.2995411357 -
The
cube root of 131957277116036736 is 509109.3992989013
Scales and comparisons
How big is 131957277116036736?- 131,957,277,116,036,736 seconds is equal to 4,195,833,241 years, 32 weeks, 6 days, 3 hours, 5 minutes, 36 seconds.
-
To count from 1 to 131,957,277,116,036,736 would take you about twelve billion, five hundred eighty-seven million, four hundred ninety-nine thousand, seven hundred twenty-four 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 131957277116036736 cubic inches would be around 42425.8 feet tall.
Recreational maths with 131957277116036736
- 131957277116036736 backwards is 637630611772759131
- The number of decimal digits it has is: 18
- The sum of 131957277116036736's digits is 75
- 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 131957277116036736 - Facts about the integer". Numbermatics.com. 2024. Web. 10 June 2024.
APA style:
Numbermatics. (2024). Number 131957277116036736 - Facts about the integer. Retrieved 10 June 2024, from https://numbermatics.com/n/131957277116036736/
Chicago style:
Numbermatics. 2024. "Number 131957277116036736 - Facts about the integer". https://numbermatics.com/n/131957277116036736/
The information we have on file for 131957277116036736 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 131957277116036736, math, Factors of 131957277116036736, curriculum, school, college, exams, university, Prime factorization of 131957277116036736, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-one quadrillion, nine hundred fifty-seven trillion, two hundred seventy-seven billion, one hundred sixteen million, thirty-six thousand, seven hundred thirty-six.