131820420560472
131,820,420,560,472 is an even composite number composed of six prime numbers multiplied together.
What does the number 131820420560472 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1344 divisors.
131820420560472 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 131820420560472:
23 × 36 × 7 × 232 × 41 × 533
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 23 × 23 × 41 × 53 × 53 × 53)See below for interesting mathematical facts about the number 131820420560472 from the Numbermatics database.
Names of 131820420560472
- Cardinal: 131820420560472 can be written as One hundred thirty-one trillion, eight hundred twenty billion, four hundred twenty million, five hundred sixty thousand, four hundred seventy-two.
Scientific notation
- Scientific notation: 1.31820420560472 × 1014
Factors of 131820420560472
Divisors of 131820420560472
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 18 21 23 24 27 28 36 41 42 46 53 54 56 63 69 72 81 82 84 92 106 108 123 126 138 159 161 162 164 168 184 189 207 212 216 243 246 252 276 287 318 322 324 328 369 371 378 414 424 477 483 486 492 504 529 552 567 574 621 636 644 648 729 738 742 756 828 861 943 954 966 972 984 1058 1107 1113 1134 1148 1219 1242 1272 1288 1431 1449 1458 1476 1484 1512 1587 1656 1701 1722 1863 1886 1908 1932 1944 2116 2173 2214 2226 2268 2296 2438 2484 2583 2809 2829 2862 2898 2916 2952 2968 3174 3321 3339 3402 3444 3657 3703 3726 3772 3816 3864 4232 4293 4346 4347 4428 4452 4536 4761 4876 4968 5103 5166 5589 5618 5658 5724 5796 5832 6348 6519 6601 6642 6678 6804 6888 7314 7406 7452 7544 7749 8427 8487 8533 8586 8692 8694 8856 8904 9522 9752 9963 10017 10206 10332 10971 11109 11178 11236 11316 11448 11592 12696 12879 13038 13041 13202 13284 13356 13608 14283 14628 14812 14904 15211 15498 16767 16854 16974 17066 17172 17384 17388 19044 19557 19663 19803 19926 20034 20412 20664 21689 21942 22218 22356 22472 22632 23247 25281 25461 25599 25758 26076 26082 26404 26568 26712 28037 28566 29256 29624 29889 30051 30422 30996 32913 33327 33534 33708 33948 34132 34344 34776 38088 38637 39114 39123 39326 39606 39852 40068 40824 42849 43378 43884 44436 44712 45633 46494 49979 50562 50922 51198 51516 52152 52164 52808 56074 57132 58671 58989 59409 59778 60102 60844 61992 64607 65067 65826 66654 67068 67416 67896 68264 69741 75843 76383 76797 77274 78228 78246 78652 79212 79704 80136 84111 85698 86756 87768 88872 90153 91266 92988 98739 99958 99981 101124 101844 102396 103032 104328 112148 114264 115169 117342 117369 117978 118818 119556 120204 121688 128547 129214 130134 131652 133308 134136 136899 139482 148877 149937 151686 151823 152766 153594 154548 156456 156492 157304 158424 168222 171396 173512 176013 176967 178227 180306 182532 185976 193821 195201 196259 197478 199916 199962 202248 203688 204792 209223 224296 227529 229149 230338 230391 234684 234738 235956 237636 239112 240408 252333 257094 258428 260268 263304 266616 270459 273798 278964 296217 297754 299874 299943 303372 303646 305532 307188 309096 312984 336444 342792 345507 349853 352026 353934 356454 360612 365064 385641 387642 390402 392518 394956 399832 399924 410697 418446 446631 449811 452249 455058 455469 458298 460676 460782 469368 469476 471912 475272 504666 514188 516856 520536 528039 530901 534681 540918 547596 557928 581463 585603 588777 592434 595508 599748 599886 606744 607292 611064 614376 672888 682587 687447 691014 691173 699706 704052 707868 712908 721224 756999 771282 775284 780804 785036 789912 799848 806183 821394 836892 888651 893262 899622 899829 904498 910116 910938 916596 921352 921564 938952 1009332 1028376 1036521 1042139 1049559 1056078 1061802 1069362 1081836 1095192 1149517 1162926 1171206 1177554 1184868 1191016 1199496 1199772 1214584 1232091 1339893 1349433 1356747 1365174 1366407 1374894 1382028 1382346 1399412 1408104 1415736 1425816 1485961 1513998 1542564 1550568 1561608 1570072 1584117 1592703 1604043 1612366 1642788 1673784 1744389 1756809 1766331 1777302 1786524 1799244 1799658 1808996 1820232 1821876 1833192 1843128 2018664 2047761 2073042 2073519 2084278 2099118 2112156 2123604 2138724 2163672 2270997 2299034 2325852 2342412 2355108 2369736 2399544 2418549 2464182 2648887 2679786 2698866 2699487 2713494 2730348 2732814 2749788 2764056 2764692 2798824 2971922 3027996 3085128 3109563 3126417 3148677 3168234 3185406 3208086 3224732 3285576 3424171 3448551 3488778 3513618 3532662 3554604 3573048 3598488 3599316 3617992 3643752 3696273 4019679 4048299 4070241 4095522 4099221 4146084 4147038 4168556 4198236 4224312 4247208 4277448 4457883 4541994 4598068 4651704 4684824 4710216 4778109 4812129 4837098 4928364 5233167 5270427 5297774 5298993 5359572 5397732 5398974 5426988 5460696 5465628 5499576 5529384 5943844 6055992 6103957 6219126 6220557 6252834 6297354 6336468 6370812 6416172 6449464 6812991 6848342 6897102 6977556 7027236 7065324 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8505640764 8666124552 8844633693 8899569306 9011513574 9229182984 9686979759 9869752962 9923247558 9984882636 10108152792 10110478644 10235299368 10382830857 11371671891 11514711789 11649029742 11731970502 11792844924 11866092408 12015351432 12758461146 12915973012 13159670616 13230996744 13517270361 13843774476 14804629443 14884871337 15162229188 15165717966 15352949052 15448308984 15532039656 15642627336 17011281528 17473544613 17689267386 17799138612 18023027148 19137691719 19373959518 19739505924 19846495116 19969765272 20220957288 20765661714 22602952771 22743343782 23029423578 23298059484 23463941004 23585689848 25516922292 25831946024 26533901079 27034540722 27687548952 29060939277 29609258886 29769742674 30324458376 30331435932 30705898104 31148492571 34115015673 34544135367 34947089226 35378534772 35598277224 36046054296 38275383438 38747919036 39479011848 39692990232 41531323428 44413888329 44654614011 45205905542 45486687564 46058847156 46596118968 46927882008 51033844584 53067802158 54069081444 57413075157 58121878554 59218517772 59539485348 60662871864 62296985142 67808858313 68230031346 69088270734 69894178452 70757069544 76550766876 77495838072 79601703237 83062646856 87182817831 88827776658 89309228022 90411811084 90973375128 92117694312 102345047019 103632406101 106135604316 108138162888 114826150314 116243757108 118437035544 119078970696 124593970284 133963842033 135617716626 136460062692 138176541468 139788356904 153101533752 159203406474 174365635662 177655553316 178618456044 180823622168 203426574939 204690094038 207264812202 212271208632 229652300628 232487514216 238805109711 249187940568 261548453493 267927684066 271235433252 272920125384 276353082936 310897218303 318406812948 348731271324 355311106632 357236912088 401891526099 406853149878 409380188076 414529624404 459304601256 477610219422 523096906986 535855368132 542470866504 610279724817 621794436606 636813625896 697462542648 716415329133 784645360479 803783052198 813706299756 818760376152 829059248808 955220438844 1046193813972 1071710736264 1220559449634 1243588873212 1432830658266 1569290720958 1607566104396 1627412599512 1830839174451 1910440877688 2092387627944 2353936081437 2441118899268 2487177746424 2865661316532 3138581441916 3215132208792 3661678348902 4707872162874 4882237798536 5492517523353 5731322633064 6277162883832 7323356697804 9415744325748 10985035046706 14646713395608 16477552570059 18831488651496 21970070093412 32955105140118 43940140186824 65910210280236 131820420560472
- Sum of all divisors σ(n): 462248924558400
- Sum of proper divisors (its aliquot sum) s(n): 330428503997928
- 131820420560472 is an abundant number, because the sum of its proper divisors (330428503997928) is greater than itself. Its abundance is 198608083437456
Bases of 131820420560472
- Binary: 111011111100011110101010101011101110110010110002
- Hexadecimal: 0x77E3D5577658
- Base-36: 1AQ5GQWDI0
Squares and roots of 131820420560472
- 131820420560472 squared (1318204205604722) is 17376623276739709190608862784
- 131820420560472 cubed (1318204205604723) is 2290593788260715497344778637388179822274048
-
The
square root of 131820420560472 is 11481307.4412486665 -
The
cube root of 131820420560472 is 50893.3334586939
Scales and comparisons
How big is 131820420560472?- 131,820,420,560,472 seconds is equal to 4,191,481 years, 32 weeks, 4 days, 1 hour, 1 minute, 12 seconds.
-
To count from 1 to 131,820,420,560,472 would take you about ten million, four hundred seventy-eight thousand, seven hundred 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 131820420560472 cubic inches would be around 4241.1 feet tall.
Recreational maths with 131820420560472
- 131820420560472 backwards is 274065024028131
- The number of decimal digits it has is: 15
- The sum of 131820420560472's digits is 45
- More coming soon!
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Cite this page
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"Number 131820420560472 - Facts about the integer". Numbermatics.com. 2024. Web. 12 May 2024.
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Numbermatics. (2024). Number 131820420560472 - Facts about the integer. Retrieved 12 May 2024, from https://numbermatics.com/n/131820420560472/
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The information we have on file for 131820420560472 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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