131828568790100
131,828,568,790,100 is an even composite number composed of eight prime numbers multiplied together.
What does the number 131828568790100 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1728 divisors.
131828568790100 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 131828568790100:
22 × 52 × 73 × 132 × 29 × 31 × 41 × 617
(2 × 2 × 5 × 5 × 7 × 7 × 7 × 13 × 13 × 29 × 31 × 41 × 617)See below for interesting mathematical facts about the number 131828568790100 from the Numbermatics database.
Names of 131828568790100
- Cardinal: 131828568790100 can be written as One hundred thirty-one trillion, eight hundred twenty-eight billion, five hundred sixty-eight million, seven hundred ninety thousand, one hundred.
Scientific notation
- Scientific notation: 1.318285687901 × 1014
Factors of 131828568790100
Divisors of 131828568790100
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 4 5 7 10 13 14 20 25 26 28 29 31 35 41 49 50 52 58 62 65 70 82 91 98 100 116 124 130 140 145 155 164 169 175 182 196 203 205 217 245 260 287 290 310 325 338 343 350 364 377 403 406 410 434 455 490 533 574 580 617 620 637 650 676 686 700 725 754 775 806 812 820 845 868 899 910 980 1015 1025 1066 1085 1148 1183 1189 1225 1234 1271 1274 1300 1372 1421 1435 1450 1508 1519 1550 1612 1690 1715 1798 1820 1885 2009 2015 2030 2050 2132 2170 2275 2366 2378 2450 2468 2542 2548 2639 2665 2821 2842 2870 2900 3038 3085 3100 3185 3380 3430 3596 3731 3770 4018 4030 4060 4100 4225 4319 4340 4459 4495 4550 4732 4756 4900 4901 5075 5084 5239 5278 5330 5425 5642 5684 5740 5915 5945 6076 6170 6293 6355 6370 6860 6929 7105 7175 7462 7540 7595 8021 8036 8060 8281 8323 8450 8575 8638 8897 8918 8990 9100 9425 9802 9947 10045 10075 10150 10478 10556 10633 10660 10850 11284 11687 11830 11890 12340 12586 12710 12740 13195 13325 13858 14063 14105 14210 14350 14924 15190 15425 15457 15925 16042 16523 16562 16646 16900 17150 17276 17794 17836 17893 17980 18473 18655 18850 19127 19604 19747 19894 20090 20150 20300 20956 21266 21595 21700 22295 22475 23374 23660 23780 24505 25172 25297 25420 26117 26195 26390 26650 27716 28126 28210 28420 28700 29575 29725 30233 30380 30850 30914 31465 31775 31850 32084 33046 33124 33292 34300 34307 34645 35525 35588 35786 36673 36859 36946 37310 37700 37975 38254 39494 39788 40105 40180 40300 41405 41615 42532 43190 44051 44485 44590 44950 46748 48503 49010 49735 50225 50594 52234 52390 52780 53165 53300 56147 56252 56420 57967 58261 58435 59150 59450 60466 61700 61828 62279 62930 63550 63700 65975 66092 68614 69290 70315 70525 71050 71572 73346 73718 73892 74620 75950 76508 77285 78988 80210 81809 82615 82810 83230 86380 88102 88970 89180 89465 89900 92365 93275 95635 97006 98020 98735 99470 100450 101188 104273 104468 104780 106330 107975 108199 111475 112294 115661 115934 116522 116870 118300 118900 120932 122525 124558 125251 125860 126485 127100 129311 130585 130975 131950 133889 137228 138229 138580 140630 141050 142100 146692 147436 151165 151900 151931 154570 157325 160420 163618 165230 165620 166460 171535 173225 176204 177079 177940 178930 182819 183365 184295 184730 186550 191270 194012 197470 198940 200525 200900 200941 207025 208075 208546 211631 212660 214799 215950 216398 220255 222425 222950 224588 231322 231868 232609 233044 233740 240149 242515 245050 248651 248675 249116 250502 252970 256711 258013 258622 261170 261950 263900 265825 267778 276458 280735 281260 282100 289835 291305 292175 302330 303862 308357 309140 311395 314650 327236 328861 330460 339521 343070 346450 351575 354158 357860 365638 366730 368590 369460 373100 382540 386425 393029 394940 401050 401882 407827 409045 413075 414050 416150 417092 423262 429598 431900 432796 435953 440510 444850 445900 447325 461825 462644 465218 478175 479167 480298 485030 490100 493675 497302 497350 501004 505940 513422 516026 517244 521365 522340 523900 531650 535556 540995 552916 554683 561470 572663 578305 579670 582610 584350 604660 607724 616714 622790 626255 629300 632425 646555 652925 657722 669445 679042 686140 691145 692900 703150 708316 729911 731276 733460 733613 737180 755825 757393 759655 772850 784207 786058 802100 803764 809627 815654 818090 826150 828100 832300 846524 857675 859196 871906 876757 881020 885395 889700 894650 914095 916825 921475 923650 930436 937223 956350 958334 960596 970060 987350 994604 994700 1004705 1026844 1032052 1042730 1058155 1063300 1063517 1073995 1081990 1101275 1109366 1122940 1145326 1156610 1159340 1163045 1165220 1168700 1200745 1212575 1233428 1239553 1243255 1245580 1252510 1264850 1283555 1290065 1293110 1305850 1315444 1338890 1358084 1382290 1403675 1406300 1406587 1449175 1456525 1459822 1467226 1503593 1511650 1514786 1519310 1541785 1545700 1556975 1568414 1572116 1619254 1628263 1631308 1636180 1644305 1652300 1681043 1697605 1715350 1740557 1743812 1753514 1770790 1789300 1796977 1806091 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263128775 265061966 265087550 267035132 268983001 271794670 274472450 275120300 275691052 283369450 284946025 285451348 294704228 295646039 296343866 299263510 302391700 304597475 305229379 306864950 311458550 316065925 316781374 318388042 319139548 322283780 323246300 328028050 328708562 333793915 335416900 341149172 344613815 353333071 356814185 357656390 359470370 360543950 368380285 372230950 374965708 380512538 384261430 388278100 398924435 400864100 402854725 418968914 423348380 426436465 427519300 433843550 436041970 451197292 452544820 454840060 467311481 468707135 469583660 476848450 492305450 495922388 499539859 503258518 504761530 509734550 510937700 513529100 521123330 526257550 529185475 530123932 530175100 537966002 543589340 548944900 563996615 565681025 566738900 568550075 569892050 586979575 591292078 592687732 598527020 609194950 610458758 613729900 619902985 622917100 632131850 633562748 636776084 656056100 656189989 657417124 662654915 667587830 679486675 689227630 706666142 713628370 715312780 718940740 721087900 736760570 740859665 744461900 748158775 761025076 768522860 791953435 795970105 797848870 805709450 821771405 837937828 852872930 867687100 867864179 872083940 894140975 898675925 927716881 934622962 937414270 951281345 953696900 960653575 984610900 999079718 1006517036 1009523060 1019469100 1037203531 1042246660 1047422285 1052515100 1058370950 1075932004 1090104925 1108734809 1114358147 1127993230 1131362050 1137100150 1139784100 1173959150 1182584156 1218389900 1220917516 1239805970 1258146295 1261903825 1264263700 1302808325 1312379978 1325309830 1335175660 1344915005 1358973350 1378455260 1413332284 1427256740 1466391199 1473521140 1478230195 1481719330 1496317550 1526146895 1583906870 1591940210 1595697740 1611418900 1643542810 1668969575 1705745860 1723069075 1735728358 1766665355 1784070925 1788281950 1797351850 1841901425 1855433762 1869245924 1874828540 1902562690 1921307150 1994622175 1998159436 2069522273 2074407062 2094844570 2116741900 2132182325 2136605653 2180209850 2217469618 2228716294 2255986460 2262724100 2274200300 2336557405 2343535675 2347918300 2473331497 2479611940 2497699295 2516292590 2523807650 2605616650 2624759956 2650619660 2689830010 2717946700 2819983075 2932782398 2956460390 2963438660 2992635100 3052293790 3099514925 3167813740 3183880420 3271180367 3280949945 3287085620 3313274575 3337939150 3446138150 3471456716 3496779013 3533330710 3568141850 3576563900 3594703700 3683802850 3704298325 3710867524 3805125380 3842614300 3843398507 3959767175 3979850525 3989244350 4108857025 4139044546 4148814124 4189689140 4264364650 4273211306 4339320895 4360419700 4434939236 4457432588 4593329923 4638584405 4673114810 4687071350 4756406725 4946662994 4995398590 5032585180 5047615300 5186017655 5211233300 5237111425 5379660020 5543674045 5571790735 5639966150 5865564796 5912920780 6075049253 6104587580 6199029850 6290731475 6494018167 6542360734 6561899890 6626549150 6675878300 6724575025 6892276300 6993558026 7066661420 7136283700 7331955995 7367605700 7391150975 7408596650 7630734475 7686797014 7800507029 7919534350 7959701050 7978488700 8217714050 8278089092 8528729300 8546422612 8678641790 8833326775 9186659846 9277168810 9346229620 9374142700 9512813450 9893325988 9990797180 10347611365 10372035310 10474222850 10683028265 11087348090 11143581470 11279932300 11682787025 12150098506 12366657485 12398059700 12488496475 12581462950 12988036334 13084721468 13123799780 13253098300 13449150050 13987116052 14486655911 14663911990 14782301950 14817193300 15261468950 15373594028 15601014058 15839068700 15919402100 16355901835 16404749725 16435428100 17357283580 17483895065 17666653550 18373319692 18554337620 19025626900 19216992535 20695222730 20744070620 20948445700 21366056530 21696604475 22174696180 22287162940 22966649615 23192922025 23365574050 24300197012 24733314970 24976992950 25162925900 25930088275 25976072668 26898300100 26903789549 27718370225 27858953675 28973311822 29327823980 29564603900 30375246265 30522937900 31202028116 32153309461 32470090835 32711803670 32809499450 34967790130 35333307100 36659779975 38433985070 39002535145 41390445460 42525344771 42732113060 43393208950 45458127169 45933299230 46385844050 46731148100 49466629940 49953985900 51738056825 51860176550 53415141325 53807579098 55436740450 55717907350 57946623644 60750492530 61833287425 64306618922 64940181670 65423607340 65618998900 69935580260 72433279555 73319559950 76867970140 78005070290 81779509175 85050689542 86786417900 87419475325 90916254338 91866598460 92771688100 96084962675 101406591377 103476113650 103720353100 106830282650 107615158196 110873480900 111435814700 114833248075 121500985060 123666574850 128613237844 129880363340 134518947745 144866559110 146639119900 151876231325 156010140580 160766547305 162350454175 163559018350 170101379084 174838950650 181832508676 188326526843 192169925350 195012675725 202813182754 206952227300 212626723855 213660565300 227290635845 229666496150 247333149700 269037895490 289733118220 303752462650 321533094610 324700908350 327118036700 349677901300 362166397775 376653053686 384339850700 390025351450 405626365508 425253447710 454581271690 459332992300 507032956885 538075790980 607504925300 643066189220 649401816700 672594738725 724332795550 753306107372 780050702900 803832736525 850506895420 909162543380 941632634215 1014065913770 1063133619275 1136453179225 1318285687901 1345189477450 1448665591100 1607665473050 1883265268430 2028131827540 2126267238550 2272906358450 2535164784425 2636571375802 2690378954900 3215330946100 3766530536860 4252534477100 4545812716900 4708163171075 5070329568850 5273142751604 6591428439505 9416326342150 10140659137700 13182856879010 18832652684300 26365713758020 32957142197525 65914284395050 131828568790100
- Sum of all divisors σ(n): 395803666944000
- Sum of proper divisors (its aliquot sum) s(n): 263975098153900
- 131828568790100 is an abundant number, because the sum of its proper divisors (263975098153900) is greater than itself. Its abundance is 132146529363800
Bases of 131828568790100
- Binary: 111011111100101101110110000001110010100010101002
- Hexadecimal: 0x77E5BB039454
- Base-36: 1AQ97I57PW
Squares and roots of 131828568790100
- 131828568790100 squared (1318285687901002) is 17378771549246127777858010000
- 131828568790100 cubed (1318285687901003) is 2291018580667225905559409122915293701000000
-
The
square root of 131828568790100 is 11481662.2834021731 -
The
cube root of 131828568790100 is 50894.3820620935
Scales and comparisons
How big is 131828568790100?- 131,828,568,790,100 seconds is equal to 4,191,740 years, 37 weeks, 1 day, 6 hours, 8 minutes, 20 seconds.
-
To count from 1 to 131,828,568,790,100 would take you about ten million, four hundred seventy-nine thousand, three hundred fifty-one 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 131828568790100 cubic inches would be around 4241.2 feet tall.
Recreational maths with 131828568790100
- 131828568790100 backwards is 001097865828131
- The number of decimal digits it has is: 15
- The sum of 131828568790100's digits is 59
- More coming soon!
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"Number 131828568790100 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.
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Numbermatics. (2024). Number 131828568790100 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/131828568790100/
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The information we have on file for 131828568790100 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!
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