131071209984
131,071,209,984 is an even composite number composed of six prime numbers multiplied together.
131071209984 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 131071209984:
29 × 32 × 11 × 13 × 193 × 29
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 11 × 13 × 19 × 19 × 19 × 29)See below for interesting mathematical facts about the number 131071209984 from the Numbermatics database.
Names of 131071209984
- Cardinal: 131071209984 can be written as One hundred thirty-one billion, seventy-one million, two hundred nine thousand, nine hundred eighty-four.
Scientific notation
- Scientific notation: 1.31071209984 × 1011
Factors of 131071209984
Divisors of 131071209984
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 18 19 22 24 26 29 32 33 36 38 39 44 48 52 57 58 64 66 72 76 78 87 88 96 99 104 114 116 117 128 132 143 144 152 156 171 174 176 192 198 208 209 228 232 234 247 256 261 264 286 288 304 312 319 342 348 352 361 377 384 396 416 418 429 456 464 468 494 512 522 528 551 572 576 608 624 627 638 684 696 704 722 741 754 768 792 832 836 858 912 928 936 957 988 1044 1056 1083 1102 1131 1144 1152 1216 1248 1254 1276 1287 1368 1392 1408 1444 1482 1508 1536 1584 1653 1664 1672 1716 1824 1856 1872 1881 1914 1976 2088 2112 2166 2204 2223 2262 2288 2304 2432 2496 2508 2552 2574 2717 2736 2784 2816 2871 2888 2964 3016 3168 3249 3306 3328 3344 3393 3432 3648 3712 3744 3762 3828 3952 3971 4147 4176 4224 4332 4408 4446 4524 4576 4608 4693 4864 4959 4992 5016 5104 5148 5434 5472 5568 5632 5742 5776 5928 6032 6061 6336 6498 6612 6656 6688 6786 6859 6864 7163 7296 7424 7488 7524 7656 7904 7942 8151 8294 8352 8448 8664 8816 8892 9048 9152 9386 9728 9918 9984 10032 10208 10296 10469 10868 10944 11136 11484 11552 11856 11913 12064 12122 12441 12672 12996 13224 13376 13572 13718 13728 14079 14326 14592 14848 14976 15048 15312 15808 15884 16302 16588 16704 16896 17328 17632 17784 18096 18183 18304 18772 19836 19968 20064 20416 20577 20592 20938 21489 21736 21888 22272 22968 23104 23712 23826 24128 24244 24453 24882 25344 25992 26448 26752 27144 27436 27456 28158 28652 29184 29952 30096 30624 31407 31616 31768 32604 33176 33408 34656 35264 35568 35739 36192 36366 36608 37323 37544 39672 40128 40832 41154 41184 41876 42237 42978 43472 43776 44544 45936 46208 47424 47652 48256 48488 48906 49764 50688 51623 51984 52896 53504 54288 54549 54872 54912 56316 57304 59904 60192 61248 61731 62814 63232 63536 64467 65208 66352 66816 69312 70528 71136 71478 72384 72732 73216 74646 75088 75449 78793 79344 80256 81664 82308 82368 83752 84474 85956 86944 87552 89167 91872 92416 94221 94848 95304 96512 96976 97812 99528 103246 103968 105792 107008 108576 109098 109744 109824 112632 114608 115159 120384 122496 123462 125628 126464 127072 128934 130416 132704 133632 136097 138624 141056 142272 142956 144768 145464 149292 150176 150898 154869 157586 158688 160512 163328 164616 164736 167504 168948 171912 173888 178334 183744 184832 188442 189696 190608 193024 193952 195624 198911 199056 206492 207936 211584 217152 218196 219488 219648 225264 226347 229216 230318 236379 240768 244992 246924 251256 254144 257868 260832 265408 267501 272194 277248 282112 284544 285912 289536 290928 298584 300352 301796 309738 315172 317376 321024 329232 329472 335008 337896 343824 345477 347776 356668 367488 376884 379392 381216 387904 391248 397822 398112 408291 412984 415872 423168 434304 436392 438976 450528 452694 458432 460636 464607 472758 481536 489984 493848 502512 508288 515736 521664 530816 535002 544388 554496 569088 571824 579072 581856 596733 597168 600704 603592 619476 630344 634752 658464 658944 670016 675792 679041 687648 690954 695552 709137 713336 734976 753768 762432 775808 782496 795644 796224 802503 816582 825968 831744 846336 868608 872784 877952 901056 905388 916864 921272 929214 945516 963072 980837 987696 1005024 1016576 1031472 1036431 1043328 1061632 1070004 1088776 1138176 1143648 1163712 1193466 1194336 1201408 1207184 1224873 1238952 1260688 1269504 1316928 1340032 1351584 1358082 1375296 1381908 1391104 1418274 1426672 1469952 1497067 1507536 1524864 1551616 1564992 1591288 1592448 1605006 1633164 1651936 1663488 1737216 1745568 1755904 1790199 1802112 1810776 1833728 1842544 1858428 1891032 1961674 1975392 2010048 2033152 2062944 2072862 2086656 2123264 2140008 2177552 2188021 2287296 2327424 2386932 2388672 2402816 2414368 2449746 2477904 2521376 2539008 2585843 2633856 2680064 2703168 2716164 2750592 2763816 2836548 2853344 2942511 2994134 3015072 3049728 3103232 3129984 3182576 3184896 3210012 3266328 3303872 3491136 3511808 3580398 3604224 3621552 3667456 3685088 3716856 3782064 3923348 3950784 4020096 4125888 4145724 4173312 4280016 4355104 4376042 4491201 4574592 4654848 4773864 4777344 4828736 4899492 4955808 5042752 5171686 5267712 5360128 5406336 5432328 5501184 5527632 5673096 5706688 5885022 5988268 6030144 6099456 6259968 6365152 6369792 6420024 6532656 6564063 6607744 6982272 7160796 7208448 7243104 7370176 7433712 7564128 7757529 7846696 7901568 8040192 8251776 8291448 8560032 8710208 8752084 8827533 8982402 9149184 9309696 9547728 9554688 9657472 9798984 9911616 10085504 10343372 10535424 10812672 10864656 11002368 11055264 11346192 11413376 11770044 11976536 12060288 12519936 12730304 12840048 13065312 13128126 13215488 13473603 13964544 14321592 14486208 14740352 14867424 15128256 15515058 15693392 15803136 16080384 16503552 16582896 17120064 17420416 17504168 17655066 17964804 18298368 19095456 19109376 19314944 19597968 19692189 19823232 20171008 20686744 21625344 21729312 22110528 22692384 22826752 23272587 23540088 23953072 24120576 25460608 25680096 26130624 26256252 26430976 26947206 27929088 28444273 28643184 28972416 29480704 29734848 30256512 31030116 31386784 31606272 33007104 33165792 34240128 34840832 35008336 35310132 35929608 38190912 38629888 39195936 39384378 39646464 40342016 41373488 43458624 44221056 45384768 45653504 46545174 47080176 47906144 48241152 50921216 51360192 52261248 52512504 53894412 56888546 57286368 57944832 58961408 59469696 60513024 62060232 62773568 66331584 68480256 69681664 70016672 70620264 71859216 76381824 78391872 78768756 79292928 82746976 85332819 86917248 88442112 90769536 93090348 94160352 95812288 101842432 102720384 104522496 105025008 107788824 113777092 114572736 115889664 118939392 121026048 124120464 125547136 132663168 136960512 140033344 141240528 143718432 152763648 156783744 157537512 165493952 170665638 173834496 176884224 181539072 186180696 188320704 191624576 205440768 209044992 210050016 215577648 227554184 229145472 237878784 248240928 251094272 255998457 265326336 280066688 282481056 287436864 305527296 313567488 315075024 330987904 341331276 347668992 363078144 372361392 376641408 383249152 410881536 420100032 431155296 455108368 458290944 496481856 502188544 511996914 530652672 560133376 564962112 574873728 627134976 630150048 661975808 682662552 744722784 753282816 766498304 840200064 862310592 910216736 916581888 992963712 1023993828 1120266752 1129924224 1149747456 1260300096 1323951616 1365325104 1489445568 1506565632 1680400128 1724621184 1820433472 1985927424 2047987656 2259848448 2299494912 2520600192 2730650208 2978891136 3360800256 3449242368 3640866944 3971854848 4095975312 4519696896 5041200384 5461300416 5957782272 6898484736 7281733888 8191950624 10082400768 10922600832 11915564544 14563467776 16383901248 21845201664 32767802496 43690403328 65535604992 131071209984
- Sum of all divisors σ(n): 485275190400
- Sum of proper divisors (its aliquot sum) s(n): 354203980416
- 131071209984 is an abundant number, because the sum of its proper divisors (354203980416) is greater than itself. Its abundance is 223132770432
Bases of 131071209984
- Binary: 11110100001000111001111110010000000002
- Hexadecimal: 0x1E8473F200
- Base-36: 1O7OEWW0
Squares and roots of 131071209984
- 131071209984 squared (1310712099842) is 17179662086669821280256
- 131071209984 cubed (1310712099843) is 2251759096816063752300185889275904
-
The
square root of 131071209984 is 362037.5809001049 -
The
cube root of 131071209984 is 5079.6731606119
Scales and comparisons
How big is 131071209984?- 131,071,209,984 seconds is equal to 4,167 years, 34 weeks, 1 day, 21 hours, 26 minutes, 24 seconds.
-
To count from 1 to 131,071,209,984 would take you about eight thousand, three hundred thirty-five 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 131071209984 cubic inches would be around 423.3 feet tall.
Recreational maths with 131071209984
- 131071209984 backwards is 489902170131
- The number of decimal digits it has is: 12
- The sum of 131071209984's digits is 45
- 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 131071209984 - Facts about the integer". Numbermatics.com. 2024. Web. 9 May 2024.
APA style:
Numbermatics. (2024). Number 131071209984 - Facts about the integer. Retrieved 9 May 2024, from https://numbermatics.com/n/131071209984/
Chicago style:
Numbermatics. 2024. "Number 131071209984 - Facts about the integer". https://numbermatics.com/n/131071209984/
The information we have on file for 131071209984 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 131071209984, math, Factors of 131071209984, curriculum, school, college, exams, university, Prime factorization of 131071209984, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-one billion, seventy-one million, two hundred nine thousand, nine hundred eighty-four.