131217438770368128
131,217,438,770,368,128 is an even composite number composed of seven prime numbers multiplied together.
What does the number 131217438770368128 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1280 divisors.
131217438770368128 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, two hundred eighty divisors.
Prime factorization of 131217438770368128:
27 × 34 × 17 × 19 × 547 × 1093 × 65537
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 17 × 19 × 547 × 1093 × 65537)See below for interesting mathematical facts about the number 131217438770368128 from the Numbermatics database.
Names of 131217438770368128
- Cardinal: 131217438770368128 can be written as One hundred thirty-one quadrillion, two hundred seventeen trillion, four hundred thirty-eight billion, seven hundred seventy million, three hundred sixty-eight thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 1.31217438770368128 × 1017
Factors of 131217438770368128
Divisors of 131217438770368128
- Number of divisors d(n): 1280
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 17 18 19 24 27 32 34 36 38 48 51 54 57 64 68 72 76 81 96 102 108 114 128 136 144 152 153 162 171 192 204 216 228 272 288 304 306 323 324 342 384 408 432 456 459 513 544 547 576 608 612 646 648 684 816 864 912 918 969 1026 1088 1093 1094 1152 1216 1224 1292 1296 1368 1377 1539 1632 1641 1728 1824 1836 1938 2052 2176 2186 2188 2432 2448 2584 2592 2736 2754 2907 3078 3264 3279 3282 3456 3648 3672 3876 4104 4372 4376 4896 4923 5168 5184 5472 5508 5814 6156 6528 6558 6564 7296 7344 7752 8208 8721 8744 8752 9299 9792 9837 9846 10336 10368 10393 10944 11016 11628 12312 13116 13128 14688 14769 15504 16416 17442 17488 17504 18581 18598 19584 19674 19692 20672 20767 20786 21888 22032 23256 24624 26163 26232 26256 27897 29376 29511 29538 31008 31179 32832 34884 34976 35008 37162 37196 39348 39384 41344 41534 41572 44064 44307 46512 49248 52326 52464 52512 55743 55794 58752 59022 59076 62016 62301 62358 65537 65664 69768 69952 70016 74324 74392 78696 78768 83068 83144 83691 88128 88533 88614 93024 93537 98496 104652 104928 105024 111486 111588 118044 118152 124032 124602 124716 131074 139536 139904 148648 148784 157392 157536 166136 166288 167229 167382 176256 176681 177066 177228 186048 186903 187074 196611 196992 209304 209856 210048 222972 223176 236088 236304 249204 249432 251073 262148 279072 280611 297296 297568 314784 315072 332272 332576 334458 334764 353039 353362 354132 354456 372096 373806 374148 393222 418608 419712 445944 446352 472176 472608 498408 498864 501687 502146 524296 530043 558144 560709 561222 589833 594592 595136 597871 629568 630144 664544 665152 668916 669528 706078 706724 708264 708912 747612 748296 753219 786444 837216 841833 891888 892704 944352 945216 996816 997728 1003374 1004292 1048592 1059117 1060086 1114129 1116288 1121418 1122444 1179666 1189184 1190272 1195742 1245203 1259136 1329088 1330304 1337832 1339056 1412156 1413448 1416528 1417824 1495224 1496592 1505061 1506438 1572888 1590129 1674432 1682127 1683666 1769499 1783776 1785408 1793613 1888704 1890432 1993632 1995456 2006748 2008584 2097184 2118234 2120172 2228258 2242836 2244888 2359332 2378368 2391484 2490406 2658176 2675664 2678112 2824312 2826896 2833056 2835648 2990448 2993184 3010122 3012876 3145776 3177351 3180258 3342387 3348864 3364254 3367332 3538998 3567552 3570816 3587226 3735609 3777408 3987264 3990912 4013496 4017168 4194368 4236468 4240344 4456516 4485672 4489776 4718664 4770387 4782968 4980812 5308497 5351328 5356224 5380839 5648624 5653792 5666112 5671296 5980896 5986368 6020244 6025752 6291552 6354702 6360516 6684774 6728508 6734664 7077996 7135104 7174452 7471218 7974528 8026992 8034336 8388736 8472936 8480688 8913032 8971344 8979552 9437328 9532053 9540774 9565936 9961624 10027161 10163807 10616994 10702656 10712448 10761678 11206827 11297248 11307584 11332224 11359549 11961792 11972736 12040488 12051504 12583104 12709404 12721032 13369548 13457016 13469328 14155992 14311161 14348904 14942436 16053984 16068672 16142517 16945872 16961376 17826064 17942688 17959104 18874656 19064106 19081548 19131872 19923248 20054322 20327614 21168451 21233988 21405312 21523356 22413654 22594496 22615168 22719098 23923584 24080976 24103008 25166208 25418808 25442064 26739096 26914032 26938656 28311984 28596159 28622322 28697808 29884872 30081483 30491421 32107968 32137344 32285034 33620481 33891744 33922752 34078647 35652128 35848739 35885376 35918208 37749312 38128212 38163096 38263744 39846496 40108644 40655228 42336902 42467976 43046712 44827308 45188992 45438196 48161952 48206016 48427551 50837616 50884128 53478192 53828064 53877312 56623968 57192318 57244644 57395616 59769744 60162966 60982842 63505353 64215936 64570068 67240962 67783488 67845504 68157294 71304256 71631941 71697478 71770752 75498624 76256424 76326192 76527488 79692992 80217288 81310456 84673804 84935952 86093424 89654616 90244449 90876392 91474263 96323904 96412032 96855102 100861443 101675232 101768256 102235941 106956384 107546217 107656128 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2221163226528 2223195397824 2233412288439 2351819886912 2353971597696 2498808629844 2501094822552 2507690990528 2664421677436 2821152364344 2961550968704 2977883051252 3156389848224 3159277670592 3173796409887 3331744839792 3334793096736 3527729830368 3530957396544 3748212944766 3751642233828 3761536485792 3996632516154 4208519797632 4231728546516 4442326453056 4446390795648 4466824576878 4703639773824 4997617259688 5002189645104 5015381981056 5328843354872 5642304728688 5955766102504 5994948774231 6312779696448 6318555341184 6347592819774 6663489679584 6669586193472 6700236865317 7055459660736 7061914793088 7496425889532 7503284467656 7523072971584 7993265032308 8463457093032 8884652906112 8933649153756 9995234519376 10004379290208 10657686709744 11284609457376 11911532205008 11989897548462 12625559392896 12656002967821 12695185639548 13326979359168 13339172386944 13400473730634 14110919321472 14992851779064 15006568935312 15046145943168 15986530064616 16926914186064 17867298307512 17984846322693 19990469038752 20008758580416 20100710595951 21315373419488 22569218914752 23823064410016 23979795096924 25312005935642 25390371279096 26653958718336 26800947461268 29985703558128 30013137870624 31973060129232 33853828372128 35734596615024 35969692645386 37968008903463 39980938077504 40017517160832 40201421191902 42630746838976 45138437829504 47646128820032 47959590193848 50624011871284 50780742558192 53601894922536 53954538968079 59971407116256 60026275741248 60302131787853 63946120258464 67707656744256 71469193230048 71939385290772 75936017806926 79961876155008 80402842383804 85261493677952 95292257640064 95919180387696 101248023742568 101561485116384 107203789845072 107909077936158 113904026710389 119942814232512 120052551482496 120604263575706 127892240516928 135415313488512 142938386460096 143878770581544 151872035613852 160805684767608 191838360775392 202496047485136 203122970232768 214407579690144 215818155872316 227808053420778 239885628465024 241208527151412 255784481033856 285876772920192 287757541163088 303744071227704 321611369535216 341712080131167 383676721550784 404992094970272 406245940465536 428815159380288 431636311744632 455616106841556 482417054302824 575515082326176 607488142455408 643222739070432 683424160262334 767353443101568 809984189940544 857630318760576 863272623489264 911232213683112 964834108605648 1025136240393501 1151030164652352 1214976284910816 1286445478140864 1366848320524668 1619968379881088 1726545246978528 1822464427366224 1929668217211296 2050272480787002 2302060329304704 2429952569821632 2572890956281728 2733696641049336 3453090493957056 3644928854732448 3859336434422592 4100544961574004 4859905139643264 5467393282098672 6906180987914112 7289857709464896 7718672868845184 8201089923148008 10934786564197344 14579715418929792 16402179846296016 21869573128394688 32804359692592032 43739146256789376 65608719385184064 131217438770368128
- Sum of all divisors σ(n): 436434542137756800
- Sum of proper divisors (its aliquot sum) s(n): 305217103367388672
- 131217438770368128 is an abundant number, because the sum of its proper divisors (305217103367388672) is greater than itself. Its abundance is 173999664597020544
Bases of 131217438770368128
- Binary: 1110100100010110110010000101110100011111010001110100000002
- Hexadecimal: 0x1D22D90BA3E8E80
- Base-36: ZW0P76U0800
Squares and roots of 131217438770368128
- 131217438770368128 squared (1312174387703681282) is 17218016237455308739499180638224384
- 131217438770368128 cubed (1312174387703681283) is 2259303991385496189018141563757031983410955946033152
-
The
square root of 131217438770368128 is 362239477.1009478587 -
The
cube root of 131217438770368128 is 508156.1493885631
Scales and comparisons
How big is 131217438770368128?- 131,217,438,770,368,128 seconds is equal to 4,172,308,670 years, 36 weeks, 6 days, 12 hours, 28 minutes, 48 seconds.
-
To count from 1 to 131,217,438,770,368,128 would take you about twelve billion, five hundred sixteen million, nine hundred twenty-six thousand and twelve 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 131217438770368128 cubic inches would be around 42346.3 feet tall.
Recreational maths with 131217438770368128
- 131217438770368128 backwards is 821863077834712131
- 131217438770368128 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 131217438770368128's digits is 72
- More coming soon!
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"Number 131217438770368128 - Facts about the integer". Numbermatics.com. 2024. Web. 17 June 2024.
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Numbermatics. (2024). Number 131217438770368128 - Facts about the integer. Retrieved 17 June 2024, from https://numbermatics.com/n/131217438770368128/
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The information we have on file for 131217438770368128 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 131217438770368128, math, Factors of 131217438770368128, curriculum, school, college, exams, university, Prime factorization of 131217438770368128, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-one quadrillion, two hundred seventeen trillion, four hundred thirty-eight billion, seven hundred seventy million, three hundred sixty-eight thousand, one hundred twenty-eight.