131838131378176000
131,838,131,378,176,000 is an even composite number composed of five prime numbers multiplied together.
131838131378176000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 131838131378176000:
214 × 53 × 19 × 137 × 49732
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 19 × 137 × 4973 × 4973)See below for interesting mathematical facts about the number 131838131378176000 from the Numbermatics database.
Names of 131838131378176000
- Cardinal: 131838131378176000 can be written as One hundred thirty-one quadrillion, eight hundred thirty-eight trillion, one hundred thirty-one billion, three hundred seventy-eight million, one hundred seventy-six thousand.
Scientific notation
- Scientific notation: 1.31838131378176 × 1017
Factors of 131838131378176000
Divisors of 131838131378176000
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 4 5 8 10 16 19 20 25 32 38 40 50 64 76 80 95 100 125 128 137 152 160 190 200 250 256 274 304 320 380 400 475 500 512 548 608 640 685 760 800 950 1000 1024 1096 1216 1280 1370 1520 1600 1900 2000 2048 2192 2375 2432 2560 2603 2740 3040 3200 3425 3800 4000 4096 4384 4750 4864 4973 5120 5206 5480 6080 6400 6850 7600 8000 8192 8768 9500 9728 9946 10240 10412 10960 12160 12800 13015 13700 15200 16000 16384 17125 17536 19000 19456 19892 20480 20824 21920 24320 24865 25600 26030 27400 30400 32000 34250 35072 38000 38912 39784 40960 41648 43840 48640 49730 51200 52060 54800 60800 64000 65075 68500 70144 76000 77824 79568 81920 83296 87680 94487 97280 99460 102400 104120 109600 121600 124325 128000 130150 137000 140288 152000 155648 159136 166592 175360 188974 194560 198920 204800 208240 219200 243200 248650 256000 260300 274000 280576 304000 311296 318272 325375 333184 350720 377948 389120 397840 409600 416480 438400 472435 486400 497300 512000 520600 548000 561152 608000 621625 636544 650750 666368 681301 701440 755896 778240 795680 832960 876800 944870 972800 994600 1024000 1041200 1096000 1122304 1216000 1243250 1273088 1301500 1332736 1362602 1402880 1511792 1556480 1591360 1665920 1753600 1889740 1945600 1989200 2048000 2082400 2192000 2244608 2362175 2432000 2486500 2546176 2603000 2665472 2725204 2805760 3023584 3182720 3331840 3406505 3507200 3779480 3891200 3978400 4164800 4384000 4724350 4864000 4973000 5092352 5206000 5330944 5450408 5611520 6047168 6365440 6663680 6813010 7014400 7558960 7782400 7956800 8329600 8768000 9448700 9728000 9946000 10184704 10412000 10661888 10900816 11223040 11810875 12094336 12730880 12944719 13327360 13626020 14028800 15117920 15913600 16659200 17032525 17536000 18897400 19456000 19892000 20369408 20824000 21323776 21801632 23621750 24188672 24730729 25461760 25889438 26654720 27252040 28057600 30235840 31827200 33318400 34065050 35072000 37794800 38912000 39784000 40738816 41648000 42647552 43603264 47243500 48377344 49461458 50923520 51778876 53309440 54504080 56115200 60471680 63654400 64723595 66636800 68130100 70144000 75589600 79568000 81477632 83296000 85162625 87206528 94487000 96754688 98922916 101847040 103557752 106618880 109008160 120943360 123653645 127308800 129447190 133273600 136260200 140288000 151179200 159136000 166592000 170325250 174413056 188974000 193509376 197845832 203694080 207115504 213237760 218016320 241886720 247307290 254617600 258894380 266547200 272520400 280576000 302358400 318272000 323617975 333184000 340650500 348826112 377948000 387018752 395691664 407388160 414231008 436032640 469883851 483773440 494614580 509235200 517788760 533094400 545040800 604716800 618268225 636544000 647235950 666368000 681301000 697652224 755896000 774037504 791383328 828462016 872065280 939767702 967546880 989229160 1018470400 1035577520 1066188800 1090081600 1209433600 1236536450 1273088000 1294471900 1332736000 1362602000 1395304448 1511792000 1548075008 1582766656 1618089875 1656924032 1744130560 1879535404 1935093760 1978458320 2036940800 2071155040 2180163200 2349419255 2418867200 2473072900 2546176000 2588943800 2665472000 2725204000 2790608896 3023584000 3091341125 3165533312 3236179750 3313848064 3388109873 3488261120 3759070808 3870187520 3956916640 4142310080 4360326400 4698838510 4837734400 4946145800 5092352000 5177887600 5330944000 5450408000 5581217792 6047168000 6182682250 6331066624 6472359500 6627696128 6776219746 6976522240 7518141616 7740375040 7913833280 8284620160 8720652800 9397677020 9675468800 9892291600 10184704000 10355775200 10900816000 11162435584 11747096275 12094336000 12365364500 12662133248 12944719000 13255392256 13552439492 13953044480 15036283232 15827666560 16569240320 16940549365 17441305600 18795354040 19350937600 19784583200 20711550400 21801632000 23494192550 24188672000 24730729000 25324266496 25889438000 26510784512 27104878984 27906088960 30072566464 31655333120 33138480640 33881098730 34882611200 37590708080 38701875200 39569166400 41423100800 43603264000 46988385100 48377344000 49461458000 50648532992 51778876000 53021569024 54209757968 55812177920 58735481375 60145132928 63310666240 64374087587 66276961280 67762197460 69765222400 75181416160 79138332800 82846201600 84702746825 87206528000 93976770200 96754688000 98922916000 101297065984 103557752000 106043138048 108419515936 117470962750 120290265856 126621332480 128748175174 132553922560 135524394920 139530444800 150362832320 158276665600 165692403200 169405493650 174413056000 187953540400 193509376000 197845832000 202594131968 207115504000 212086276096 216839031872 234941925500 240580531712 253242664960 257496350348 265107845120 271048789840 279060889600 300725664640 316553331200 321870437935 331384806400 338810987300 348826112000 375907080800 395691664000 405188263936 414231008000 423513734125 433678063744 469883851000 481161063424 506485329920 514992700696 530215690240 542097579680 601451329280 633106662400 643740875870 662769612800 677621974600 697652224000 751814161600 791383328000 828462016000 847027468250 867356127488 939767702000 962322126848 1012970659840 1029985401392 1060431380480 1084195159360 1202902658560 1266213324800 1287481751740 1325539225600 1355243949200 1395304448000 1503628323200 1582766656000 1609352189675 1656924032000 1694054936500 1734712254976 1879535404000 1924644253696 2025941319680 2059970802784 2168390318720 2405805317120 2532426649600 2574963503480 2651078451200 2710487898400 3007256646400 3165533312000 3218704379350 3313848064000 3388109873000 3469424509952 3759070808000 3849288507392 4119941605568 4336780637440 4811610634240 5064853299200 5149927006960 5302156902400 5420975796800 6014513292800 6331066624000 6437408758700 6627696128000 6776219746000 6938849019904 7518141616000 7698577014784 8046760948375 8239883211136 8673561274880 9623221268480 10129706598400 10299854013920 10841951593600 12029026585600 12662133248000 12874817517400 13255392256000 13552439492000 13877698039808 15036283232000 16093521896750 16479766422272 17347122549760 19246442536960 20599708027840 21683903187200 24058053171200 25324266496000 25749635034800 26510784512000 27104878984000 27755396079616 30072566464000 32187043793500 32959532844544 34694245099520 38492885073920 41199416055680 43367806374400 48116106342400 50648532992000 51499270069600 54209757968000 55510792159232 60145132928000 64374087587000 65919065689088 69388490199040 82398832111360 86735612748800 96232212684800 102998540139200 108419515936000 120290265856000 128748175174000 131838131378176 138776980398080 164797664222720 173471225497600 192464425369600 205997080278400 216839031872000 240580531712000 257496350348000 263676262756352 277553960796160 329595328445440 346942450995200 411994160556800 433678063744000 481161063424000 514992700696000 527352525512704 659190656890880 693884901990400 823988321113600 867356127488000 962322126848000 1029985401392000 1054705051025408 1318381313781760 1387769803980800 1647976642227200 1734712254976000 2059970802784000 2636762627563520 3295953284454400 3469424509952000 4119941605568000 5273525255127040 6591906568908800 6938849019904000 8239883211136000 13183813137817600 16479766422272000 26367626275635200 32959532844544000 65919065689088000 131838131378176000
- Sum of all divisors σ(n): 348975243763342560
- Sum of proper divisors (its aliquot sum) s(n): 217137112385166560
- 131838131378176000 is an abundant number, because the sum of its proper divisors (217137112385166560) is greater than itself. Its abundance is 85298981006990560
Bases of 131838131378176000
- Binary: 1110101000110001000010100111111001010010111000000000000002
- Hexadecimal: 0x1D46214FCA5C000
- Base-36: 1024PTFQVX8G
Squares and roots of 131838131378176000
- 131838131378176000 squared (1318381313781760002) is 17381292885289195201129086976000000
- 131838131378176000 cubed (1318381313781760003) is 2291517174933312707998154601034475452235776000000000
-
The
square root of 131838131378176000 is 363095209.7978930925 -
The
cube root of 131838131378176000 is 508956.1262551477
Scales and comparisons
How big is 131838131378176000?- 131,838,131,378,176,000 seconds is equal to 4,192,044,775 years, 36 weeks, 6 days, 12 hours, 26 minutes, 40 seconds.
-
To count from 1 to 131,838,131,378,176,000 would take you about twelve billion, five hundred seventy-six million, one hundred thirty-four thousand, three hundred twenty-seven 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 131838131378176000 cubic inches would be around 42413 feet tall.
Recreational maths with 131838131378176000
- 131838131378176000 backwards is 000671873131838131
- The number of decimal digits it has is: 18
- The sum of 131838131378176000's digits is 61
- 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 131838131378176000 - Facts about the integer". Numbermatics.com. 2024. Web. 6 June 2024.
APA style:
Numbermatics. (2024). Number 131838131378176000 - Facts about the integer. Retrieved 6 June 2024, from https://numbermatics.com/n/131838131378176000/
Chicago style:
Numbermatics. 2024. "Number 131838131378176000 - Facts about the integer". https://numbermatics.com/n/131838131378176000/
The information we have on file for 131838131378176000 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 131838131378176000, math, Factors of 131838131378176000, curriculum, school, college, exams, university, Prime factorization of 131838131378176000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-one quadrillion, eight hundred thirty-eight trillion, one hundred thirty-one billion, three hundred seventy-eight million, one hundred seventy-six thousand.