131971982107680
131,971,982,107,680 is an even composite number composed of seven prime numbers multiplied together.
131971982107680 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, nine hundred forty-four divisors.
Prime factorization of 131971982107680:
25 × 32 × 5 × 112 × 13 × 172 × 4492
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 11 × 11 × 13 × 17 × 17 × 449 × 449)See below for interesting mathematical facts about the number 131971982107680 from the Numbermatics database.
Names of 131971982107680
- Cardinal: 131971982107680 can be written as One hundred thirty-one trillion, nine hundred seventy-one billion, nine hundred eighty-two million, one hundred seven thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.3197198210768 × 1014
Factors of 131971982107680
Divisors of 131971982107680
- Number of divisors d(n): 1944
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 17 18 20 22 24 26 30 32 33 34 36 39 40 44 45 48 51 52 55 60 65 66 68 72 78 80 85 88 90 96 99 102 104 110 117 120 121 130 132 136 143 144 153 156 160 165 170 176 180 187 195 198 204 208 220 221 234 240 242 255 260 264 272 286 288 289 306 312 330 340 352 360 363 374 390 396 408 416 429 440 442 449 468 480 484 495 510 520 528 544 561 572 578 585 605 612 624 660 663 680 715 720 726 748 765 780 792 816 858 867 880 884 898 935 936 968 990 1020 1040 1056 1089 1105 1122 1144 1156 1170 1210 1224 1248 1287 1320 1326 1347 1360 1430 1440 1445 1452 1496 1530 1560 1573 1584 1632 1683 1716 1734 1760 1768 1796 1815 1870 1872 1936 1980 1989 2040 2057 2080 2145 2178 2210 2244 2245 2288 2312 2340 2420 2431 2448 2574 2601 2640 2652 2694 2720 2805 2860 2890 2904 2992 3060 3120 3146 3168 3179 3315 3366 3432 3468 3536 3592 3630 3740 3744 3757 3872 3960 3978 4041 4080 4114 4290 4335 4356 4420 4488 4490 4576 4624 4680 4719 4840 4862 4896 4939 5148 5202 5280 5304 5388 5445 5610 5720 5780 5808 5837 5984 6120 6171 6240 6292 6358 6435 6630 6732 6735 6864 6936 7072 7184 7260 7293 7480 7514 7633 7865 7920 7956 8082 8160 8228 8415 8580 8670 8712 8840 8976 8980 9248 9360 9438 9537 9680 9724 9878 9945 10285 10296 10404 10608 10776 10890 11220 11271 11440 11560 11616 11674 12155 12240 12342 12584 12716 12870 13005 13260 13464 13470 13728 13872 14157 14368 14520 14586 14817 14960 15028 15266 15730 15840 15895 15912 16164 16456 16830 17160 17340 17424 17511 17680 17952 17960 18513 18720 18785 18876 19074 19360 19448 19756 19890 20205 20570 20592 20808 21216 21552 21780 21879 22440 22542 22880 22899 23120 23348 23595 24310 24480 24684 24695 25168 25432 25740 26010 26520 26741 26928 26940 27744 28314 28611 29040 29172 29185 29634 29920 30056 30532 30855 31460 31790 31824 32328 32912 33660 33813 34320 34680 34848 34969 35022 35360 35920 36465 37026 37570 37752 38148 38165 38896 39512 39780 40410 41140 41184 41327 41616 43104 43560 43758 44451 44880 45084 45798 46240 46696 47190 47685 48620 49368 49390 50336 50864 51480 52020 52533 53040 53482 53856 53880 54329 56355 56628 57222 58080 58344 58370 59268 60112 61064 61710 62920 63580 63648 64207 64656 65824 67320 67626 68640 68697 69360 69938 70044 70785 71840 72930 74052 74085 75140 75504 76296 76330 77792 79024 79560 80223 80820 82280 82654 83232 83963 87120 87516 87555 88902 89760 90168 91596 92565 93392 94380 95370 97240 98736 98780 99229 101728 102960 104040 104907 105066 106080 106964 107760 108658 109395 112710 113256 114444 114495 116688 116740 118536 120224 122128 123420 123981 125840 127160 128414 129312 129761 133705 134640 135252 137394 138720 139876 140088 141570 143055 145860 148104 148170 150280 151008 152592 152660 158048 159120 160446 161640 162987 164560 165308 167926 169065 174240 174845 175032 175110 177804 180336 183192 185130 186784 188760 190740 192621 194480 197472 197560 198458 201601 205920 206635 208080 209814 210132 213928 215520 217316 218790 222255 225420 226512 228888 228990 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81827460 82253208 83123370 83866016 84753240 85642260 86486829 87321520 88664928 88704440 89107642 92458080 92779115 93427920 94206486 94349268 96053672 96768480 97574884 98236710 99792495 101213580 101703888 102770712 102816510 104785824 104832520 106445328 108060381 109103280 109670944 110831160 111334938 113004320 113098161 114189680 115315772 116525378 117936585 120067090 120906720 121456296 121968605 123379812 125608648 125799024 127129860 128463390 130923936 130982280 132997392 133056660 133661463 134951440 137027616 137088680 141309729 142889760 144080508 144144715 145152720 146362326 147774880 148446584 150797548 151820370 154224765 157010810 157178736 157248780 159667992 161941728 163654920 164506416 166246740 167002407 169506480 171284520 172973658 174643040 174788067 177408880 178215284 180100635 185558230 186855840 188412972 188496935 188698536 192107344 195149768 196473420 199584990 202427160 203407776 204114053 205541424 205633020 209665040 212890656 216120762 218206560 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582626890 585449304 593786336 603190192 607281480 612342159 616899060 628043240 628995120 634236746 638671968 640889579 654619680 664986960 668009628 668307315 678588966 685138080 691894632 699152268 706548645 712861136 720402540 731811630 742232920 753651888 753987740 754794144 757414957 780599072 785893680 798339960 801968778 809708640 816456212 822532080 829386514 835012035 864483048 864868290 873940335 878173956 890679504 891076420 904785288 922526176 932203024 942064860 943492680 951355119 960536720 975748840 980184062 987038496 1017038880 1020570265 1027707120 1037841948 1048728402 1064453280 1069291704 1080603810 1097717445 1113349380 1130477832 1130981610 1152644064 1153157720 1165253780 1170898608 1206380384 1214562960 1224684318 1233798120 1244079771 1256086480 1257990240 1268473492 1281779158 1297302435 1329973920 1336019256 1336614630 1357177932 1383789264 1398304536 1413097290 1425722272 1440805080 1463623260 1470276093 1484465840 1507303776 1507975480 1514829914 1571787360 1585591865 1596679920 1603937556 1632912424 1645064160 1658773028 1670024070 1696472415 1728966096 1729736580 1747880670 1756347912 1781359008 1782152840 1809570576 1837026477 1864406048 1884129720 1886985360 1902710238 1921073440 1922668737 1951497680 1960368124 2004921945 2041140530 2055414240 2073466285 2075683896 2097456804 2138583408 2161207620 2195434890 2226698760 2260955664 2261963220 2272244871 2306315440 2330507560 2341797216 2429125920 2449368636 2450460155 2467596240 2488159542 2512172960 2536946984 2563558316 2594604870 2621821005 2672038512 2673229260 2714355864 2767578528 2796609072 2826194580 2854065357 2881610160 2927246520 2940552186 2968931680 3015950960 3029659828 3061710795 3171183730 3193359840 3204447895 3207875112 3265824848 3317546056 3340048140 3392944830 3457932192 3459473160 3495761340 3512695824 3564305680 3619141152 3674052954 3732239313 3768259440 3773970720 3787074785 3805420476 3845337474 3902995360 3920736248 4009843890 4082281060 4146932570 4151367792 4194913608 4277166816 4322415240 4390869780 4410828279 4453397520 4521911328 4523926440 4544489742 4612630880 4661015120 4756775595 4898737272 4900920310 4935192480 4976319084 5073893968 5127116632 5189209740 5243642010 5344077024 5346458520 5391012341 5428711728 5593218144 5652389160 5708130714 5763220320 5768006211 5854493040 5881104372 6031901920 6059319656 6123421590 6220398855 6342367460 6408895790 6415750224 6531649696 6635092112 6680096280 6785889660 6816734613 6918946320 6991522680 7025391648 7049785369 7128611360 7348105908 7351380465 7464478626 7536518880 7574149570 7610840952 7690674948 7841472496 8019687780 8164562120 8293865140 8302735584 8331564527 8389827216 8644830480 8781739560 8821656558 8906795040 9047852880 9088979484 9185132385 9322030240 9513551190 9613343685 9797474544 9801840620 9952638168 10147787936 10254233264 10378419480 10487284020 10692917040 10782024682 10857423456 11304778320 11361224355 11416261428 11536012422 11708986080 11762208744 12118639312 12246843180 12440797710 12684734920 12817791580 12831500448 13270184224 13360192560 13571779320 13633469226 13837892640 13983045360 14099570738 14270326785 14696211816 14702760930 14928957252 15148299140 15221681904 15381349896 15682944992 16039375560 16173037023 16329124240 16587730280 16663129054 16779654432 17289660960 17563479120 17643313116 18095705760 18177958968 18370264770 18661196565 19027102380 19226687370 19594949088 19603681240 19905276336 20508466528 20756838960 20974568040 21149356107 21385834080 21564049364 22054141395 22609556640 22722448710 22832522856 23072024844 23524417488 24237278624 24493686360 24881595420 24994693581 25369469840 25635583160 26720385120 26955061705 27143558640 27266938452 27966090720 28199141476 28540653570 28840031055 29392423632 29405521860 29857914504 30296598280 30443363808 30762699792 32078751120 32346074046 32658248480 33175460560 33326258108 34083673065 35126958240 35248926845 35286626232 36355917936 36740529540 37322393130 38054204760 38453374740 39207362480 39810552672 41513677920 41657822635 41949136080 42298712214 43128098728 44108282790 45444897420 45665045712 46144049688 47048834976 48519111069 48987372720 49763190840 49989387162 50738939680 51271166320 53910123410 54287117280 54533876904 56398282952 57081307140 57680062110 58784847264 58811043720 59715829008 60593196560 61525399584 63448068321 64157502240 64692148092 66350921120 66652516216 68167346130 70497853690 70573252464 72711835872 73481059080 74644786260 74984080743 76108409520 76906749480 78414724960 80865185115 83315645270 83898272160 84597424428 86256197456 88216565580 90889794840 91330091424 91647209797 92288099376 97038222138 97974745440 99526381680 99978774324 102542332640 105746780535 107820246820 109067753808 112796565904 114162614280 115360124220 117622087440 119431658016 121186393120 124973467905 126896136642 129384296184 133305032432 136334692260 140995707380 141146504928 146962118160 149289572520 149968161486 152216819040 153813498960 161730370230 166631290540 169194848856 172512394912 176433131160 181779589680 183294419594 184576198752 194076444276 199052763360 199957548648 211493561070 215640493640 218135507616 225593131808 228325228560 230720248440 235244174880 242595555345 249946935810 253792273284 258768592368 266610064864 272669384520 274941629391 281991414760 293924236320 298579145040 299936322972 307626997920 317240341605 323460740460 333262581080 338389697712 352866262320 363559179360 366588839188 374920403715 388152888552 399915097296 422987122140 431280987280 456650457120 458236048985 461440496880 485191110690 499893871620 507584546568 517537184736 545338769040 549883258782 563982829520 597158290080 599872645944 634480683210 646921480920 666525162160 676779395424 705732524640 733177678376 749840807430 776305777104 799830194592 824824888173 845974244280 862561974560 916472097970 922880993760 970382221380 999787743240 1015169093136 1090677538080 1099766517564 1127965659040 1199745291888 1268961366420 1293842961840 1333050324320 1374708146955 1466355356752 1499681614860 1552611554208 1649649776346 1691948488560 1832944195940 1940764442760 1999575486480 2030338186272 2199533035128 2399490583776 2537922732840 2587685923680 2749416293910 2932710713504 2999363229720 3299299552692 3383896977120 3665888391880 3881528885520 3999150972960 4124124440865 4399066070256 5075845465680 5498832587820 5998726459440 6598599105384 7331776783760 7763057771040 8248248881730 8798132140512 10151690931360 10997665175640 11997452918880 13197198210768 14663553567520 16496497763460 21995330351280 26394396421536 32992995526920 43990660702560 65985991053840 131971982107680
- Sum of all divisors σ(n): 567563173635276
- Sum of proper divisors (its aliquot sum) s(n): 435591191527596
- 131971982107680 is an abundant number, because the sum of its proper divisors (435591191527596) is greater than itself. Its abundance is 303619209419916
Bases of 131971982107680
- Binary: 111100000000111000111110001110100100100001000002
- Hexadecimal: 0x78071F1D2420
- Base-36: 1AS33AQBS0
Squares and roots of 131971982107680
- 131971982107680 squared (1319719821076802) is 17416604061429810055114982400
- 131971982107680 cubed (1319719821076803) is 2298503759571561712191815411957898104832000
-
The
square root of 131971982107680 is 11487905.9061118707 -
The
cube root of 131971982107680 is 50912.8309892675
Scales and comparisons
How big is 131971982107680?- 131,971,982,107,680 seconds is equal to 4,196,300 years, 42 weeks, 2 days, 14 hours, 48 minutes.
-
To count from 1 to 131,971,982,107,680 would take you about ten million, four hundred ninety thousand, seven hundred fifty-two 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 131971982107680 cubic inches would be around 4242.7 feet tall.
Recreational maths with 131971982107680
- 131971982107680 backwards is 086701289179131
- The number of decimal digits it has is: 15
- The sum of 131971982107680's digits is 63
- More coming soon!
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Cite this page
MLA style:
"Number 131971982107680 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
APA style:
Numbermatics. (2024). Number 131971982107680 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/131971982107680/
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Numbermatics. 2024. "Number 131971982107680 - Facts about the integer". https://numbermatics.com/n/131971982107680/
The information we have on file for 131971982107680 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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