131829970830491648
131,829,970,830,491,648 is an even composite number composed of five prime numbers multiplied together.
131829970830491648 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 131829970830491648:
217 × 112 × 133 × 313 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 11 × 11 × 13 × 13 × 13 × 31 × 31 × 31 × 127)See below for interesting mathematical facts about the number 131829970830491648 from the Numbermatics database.
Names of 131829970830491648
- Cardinal: 131829970830491648 can be written as One hundred thirty-one quadrillion, eight hundred twenty-nine trillion, nine hundred seventy billion, eight hundred thirty million, four hundred ninety-one thousand, six hundred forty-eight.
Scientific notation
- Scientific notation: 1.31829970830491648 × 1017
Factors of 131829970830491648
Divisors of 131829970830491648
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 4 8 11 13 16 22 26 31 32 44 52 62 64 88 104 121 124 127 128 143 169 176 208 242 248 254 256 286 338 341 352 403 416 484 496 508 512 572 676 682 704 806 832 961 968 992 1016 1024 1144 1352 1364 1397 1408 1573 1612 1651 1664 1859 1922 1936 1984 2032 2048 2197 2288 2704 2728 2794 2816 3146 3224 3302 3328 3718 3751 3844 3872 3937 3968 4064 4096 4394 4433 4576 5239 5408 5456 5588 5632 6292 6448 6604 6656 7436 7502 7688 7744 7874 7936 8128 8192 8788 8866 9152 10478 10571 10816 10912 11176 11264 12493 12584 12896 13208 13312 14872 15004 15367 15376 15488 15748 15872 16256 16384 17576 17732 18161 18304 20449 20956 21142 21463 21632 21824 22352 22528 24167 24986 25168 25792 26416 26624 29744 29791 30008 30734 30752 30976 31496 31744 32512 32768 35152 35464 36322 36608 40898 41912 42284 42926 43264 43307 43648 44704 45056 48334 48763 49972 50336 51181 51584 52832 53248 57629 59488 59582 60016 61468 61504 61952 62992 63488 65024 65536 68107 70304 70928 72644 73216 81796 83824 84568 85852 86528 86614 87296 89408 90112 96668 97526 99944 100672 102362 103168 105664 106496 115258 116281 118976 119164 120032 122047 122936 123008 123904 125984 126976 130048 131072 136214 137423 140608 141856 145288 146432 162409 163592 167648 169136 171704 173056 173228 174592 178816 180224 193336 195052 199771 199888 201344 204724 206336 211328 212992 230516 232562 236093 237952 238328 240064 244094 245872 246016 247808 251968 253952 260096 265837 272428 274846 279019 281216 283712 290576 292864 324818 327184 327701 335296 338272 343408 346112 346456 349184 357632 360448 386672 387283 390104 399542 399776 402688 409448 412672 422656 425984 461032 465124 472186 475904 476377 476656 480128 488188 491744 492032 495616 503936 507904 520192 531674 544856 549692 558038 562432 562991 567424 581152 585728 633919 649636 654368 655402 665353 670592 676544 686816 692224 692912 698368 715264 720896 749177 773344 774566 780208 799084 799552 805376 818896 825344 845312 851968 922064 930248 944372 951808 952754 953312 960256 976376 983488 984064 991232 1007872 1015808 1040384 1063348 1089712 1099384 1116076 1124864 1125982 1134848 1162304 1171456 1267838 1299272 1308736 1310804 1330706 1341184 1342517 1353088 1373632 1384448 1385824 1396736 1430528 1441792 1498354 1511653 1546688 1549132 1560416 1586611 1598168 1599104 1610752 1637792 1650688 1690624 1703936 1786499 1844128 1860496 1888744 1903616 1905508 1906624 1920512 1952752 1966976 1968128 1982464 2015744 2031616 2080768 2111317 2126696 2179424 2198768 2232152 2249728 2251964 2269696 2324608 2342912 2535676 2597023 2598544 2617472 2621608 2661412 2682368 2685034 2706176 2747264 2768896 2771648 2793472 2861056 2996708 3023306 3069209 3093376 3098264 3120832 3173222 3196336 3198208 3221504 3275584 3301376 3381248 3572998 3604711 3688256 3720992 3777488 3783457 3807232 3811016 3813248 3841024 3905504 3933952 3936256 3964928 4031488 4063232 4161536 4222634 4253392 4260113 4358848 4397536 4464304 4499456 4503928 4539392 4649216 4685824 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73792356352 77367912193 77977108352 79863651296 80492498944 81843741824 82439898112 82488180736 83089031168 84483862528 85099249664 85233719296 87209148416 87983194112 91434805319 92154764416 94384315168 95127498752 95222045776 95971825664 97428970496 98196127744 98293724672 99067691008 100571840512 100730759168 101464489984 103980138496 112535145008 113421248512 116165310976 117079998464 117196364032 118119170048 119912579072 120976891904 123976318976 126712801072 129778433356 130800310784 132996080464 133964834432 134043293696 135019675648 137286276608 138286280704 138367270912 138504793856 139595382784 141714866176 142972690432 154735824386 155954216704 159727302592 160984997888 163687483648 164879796224 164976361472 168967725056 170198499328 170467438592 175966388224 182869610638 184309528832 188768630336 190254997504 190444091552 191943651328 194857940992 196587449344 198135382016 201143681024 201461518336 202928979968 207960276992 225070290016 226842497024 232330621952 234159996928 234392728064 236238340096 239825158144 241953783808 247952637952 253425602144 259556866712 261600621568 265992160928 267929668864 268086587392 270039351296 274572553216 276572561408 276734541824 277009587712 279190765568 283429732352 285945380864 309471648772 311908433408 319454605184 321969995776 327374967296 329759592448 329952722944 337935450112 340396998656 340934877184 365739221276 368619057664 377537260672 380509995008 380888183104 383887302656 389715881984 393174898688 402287362048 402923036672 405857959936 450140580032 453684994048 464661243904 468785456128 472476680192 479650316288 483907567616 495905275904 506851204288 519113733424 523201243136 531984321856 535859337728 536173174784 540078702592 549145106432 553145122816 554019175424 558381531136 566859464704 571890761728 618943297544 623816866816 638909210368 643939991552 654749934592 659519184896 659905445888 675870900224 681869754368 731478442552 737238115328 755074521344 761019990016 761776366208 767774605312 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3223384293376 3601124640256 3629479952384 3717289951232 3750283649024 4023131434036 4054809634304 4152909867392 4185609945088 4255874574848 4286874701824 4289385398272 4393160851456 4425160982528 4432153403392 4951546380352 4990534934528 5111273682944 5237999476736 5276153479168 5454958034944 5851827540416 5897904922624 6040596170752 6094210929664 6142196842496 6235454111744 6290798379008 6446768586752 7202249280512 7258959904768 7434579902464 7500567298048 8046262868072 8109619268608 8305819734784 8371219890176 8511749149696 8573749403648 8578770796544 8786321702912 8864306806784 9903092760704 9981069869056 10222547365888 10475998953472 10552306958336 11703655080832 11795809845248 12081192341504 12188421859328 12470908223488 12581596758016 14404498561024 14869159804928 15001134596096 16092525736144 16219238537216 16611639469568 16742439780352 17023498299392 17147498807296 17572643405824 17728613613568 19806185521408 19962139738112 20445094731776 20951997906944 23407310161664 23591619690496 24162384683008 24376843718656 25163193516032 28808997122048 29738319609856 30002269192192 32185051472288 32438477074432 33223278939136 33484879560704 34046996598784 34294997614592 35145286811648 35457227227136 39612371042816 39924279476224 40890189463552 41903995813888 46814620323328 47183239380992 48324769366016 48753687437312 57617994244096 60004538384384 64370102944576 64876954148864 66446557878272 68093993197568 68589995229184 70914454454272 79224742085632 79848558952448 81780378927104 83807991627776 93629240646656 94366478761984 96649538732032 97507374874624 115235988488192 128740205889152 129753908297728 132893115756544 136187986395136 137179990458368 158449484171264 163560757854208 187258481293312 193299077464064 195014749749248 230471976976384 257480411778304 259507816595456 265786231513088 272375972790272 316898968342528 327121515708416 374516962586624 386598154928128 390029499498496 460943953952768 514960823556608 519015633190912 531572463026176 544751945580544 633797936685056 749033925173248 780058998996992 921887907905536 1029921647113216 1038031266381824 1063144926052352 1089503891161088 1267595873370112 1498067850346496 2059843294226432 2126289852104704 2535191746740224 2996135700692992 4119686588452864 4252579704209408 5070383493480448 5992271401385984 8239373176905728 10140766986960896 11984542802771968 16478746353811456 32957492707622912 65914985415245824 131829970830491648
- Sum of all divisors σ(n): 326965464685117440
- Sum of proper divisors (its aliquot sum) s(n): 195135493854625792
- 131829970830491648 is an abundant number, because the sum of its proper divisors (195135493854625792) is greater than itself. Its abundance is 63305523024134144
Bases of 131829970830491648
- Binary: 1110101000101101010101000111101100001101000000000000000002
- Hexadecimal: 0x1D45AA8F61A0000
- Base-36: 1021TOJ7HSZK
Squares and roots of 131829970830491648
- 131829970830491648 squared (1318299708304916482) is 17379141209168278771897497397755904
- 131829970830491648 cubed (1318299708304916483) is 2291091678663649539077760471617807592580892214689792
-
The
square root of 131829970830491648 is 363083972.1476171797 -
The
cube root of 131829970830491648 is 508945.6248764437
Scales and comparisons
How big is 131829970830491648?- 131,829,970,830,491,648 seconds is equal to 4,191,785,295 years, 27 weeks, 6 days, 3 hours, 14 minutes, 8 seconds.
-
To count from 1 to 131,829,970,830,491,648 would take you about twelve billion, five hundred seventy-five million, three hundred fifty-five thousand, eight hundred eighty-six 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 131829970830491648 cubic inches would be around 42412.1 feet tall.
Recreational maths with 131829970830491648
- 131829970830491648 backwards is 846194038079928131
- The number of decimal digits it has is: 18
- The sum of 131829970830491648's digits is 83
- More coming soon!
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MLA style:
"Number 131829970830491648 - Facts about the integer". Numbermatics.com. 2024. Web. 16 June 2024.
APA style:
Numbermatics. (2024). Number 131829970830491648 - Facts about the integer. Retrieved 16 June 2024, from https://numbermatics.com/n/131829970830491648/
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Numbermatics. 2024. "Number 131829970830491648 - Facts about the integer". https://numbermatics.com/n/131829970830491648/
The information we have on file for 131829970830491648 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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