131314135680
131,314,135,680 is an even composite number composed of six prime numbers multiplied together.
131314135680 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 131314135680:
27 × 32 × 5 × 72 × 132 × 2753
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 7 × 13 × 13 × 2753)See below for interesting mathematical facts about the number 131314135680 from the Numbermatics database.
Names of 131314135680
- Cardinal: 131314135680 can be written as One hundred thirty-one billion, three hundred fourteen million, one hundred thirty-five thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.3131413568 × 1011
Factors of 131314135680
Divisors of 131314135680
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 26 28 30 32 35 36 39 40 42 45 48 49 52 56 60 63 64 65 70 72 78 80 84 90 91 96 98 104 105 112 117 120 126 128 130 140 144 147 156 160 168 169 180 182 192 195 196 208 210 224 234 240 245 252 260 273 280 288 294 312 315 320 336 338 360 364 384 390 392 416 420 441 448 455 468 480 490 504 507 520 546 560 576 585 588 624 630 637 640 672 676 720 728 735 780 784 819 832 840 845 882 896 910 936 960 980 1008 1014 1040 1092 1120 1152 1170 1176 1183 1248 1260 1274 1344 1352 1365 1440 1456 1470 1521 1560 1568 1638 1664 1680 1690 1764 1820 1872 1911 1920 1960 2016 2028 2080 2184 2205 2240 2340 2352 2366 2496 2520 2535 2548 2688 2704 2730 2753 2880 2912 2940 3042 3120 3136 3185 3276 3360 3380 3528 3549 3640 3744 3822 3920 4032 4056 4095 4160 4368 4410 4480 4680 4704 4732 4992 5040 5070 5096 5408 5460 5506 5733 5760 5824 5880 5915 6084 6240 6272 6370 6552 6720 6760 7056 7098 7280 7488 7605 7644 7840 8064 8112 8190 8259 8281 8320 8736 8820 9360 9408 9464 9555 10080 10140 10192 10647 10816 10920 11012 11466 11648 11760 11830 12168 12480 12740 13104 13440 13520 13765 14112 14196 14560 14976 15210 15288 15680 16224 16380 16518 16562 17472 17640 17745 18720 18816 18928 19110 19271 20160 20280 20384 21294 21632 21840 22024 22932 23520 23660 24336 24777 24843 24960 25480 26208 27040 27530 28224 28392 28665 29120 30420 30576 31360 32448 32760 33036 33124 34944 35280 35490 35789 37440 37856 38220 38542 40320 40560 40768 41295 41405 42588 43680 44048 45864 47040 47320 48672 49554 49686 50960 52416 53235 54080 55060 56448 56784 57330 57813 58240 60840 61152 64896 65520 66072 66248 70560 70980 71578 74529 74880 75712 76440 77084 81120 81536 82590 82810 85176 87360 88096 91728 94080 94640 96355 97344 99108 99372 101920 104832 106470 107367 108160 110120 113568 114660 115626 121680 122304 123885 124215 131040 132144 132496 134897 141120 141960 143156 149058 151424 152880 154168 162240 165180 165620 170352 173439 174720 176192 178945 183456 189280 192710 194688 198216 198744 203840 212940 214734 220240 227136 229320 231252 243360 244608 247770 248430 250523 262080 264288 264992 269794 282240 283920 286312 289065 298116 305760 308336 322101 324480 330360 331240 340704 346878 352384 357890 366912 372645 378560 385420 396432 397488 404691 407680 425880 429468 440480 454272 458640 462504 465257 486720 495540 496860 501046 524160 528576 529984 536835 539588 567840 572624 578130 596232 611520 616672 644202 660720 662480 674485 681408 693756 715780 733824 745290 751569 757120 770840 792864 794976 809382 851760 858936 867195 880960 917280 925008 930514 973440 991080 993720 1002092 1057152 1059968 1073670 1079176 1135680 1145248 1156260 1192464 1214073 1223040 1233344 1252615 1288404 1321440 1324960 1348970 1362816 1387512 1395771 1431560 1490580 1503138 1541680 1585728 1589952 1610505 1618764 1703520 1717872 1734390 1753661 1761920 1834560 1850016 1861028 1982160 1987440 2004184 2023455 2147340 2158352 2254707 2271360 2290496 2312520 2326285 2384928 2428146 2466688 2505230 2576808 2642880 2649920 2697940 2775024 2791542 2863120 2981160 3006276 3083360 3171456 3179904 3221010 3237528 3256799 3407040 3435744 3468780 3507322 3669120 3700032 3722056 3757845 3964320 3974880 4008368 4046910 4187313 4294680 4316704 4509414 4580992 4625040 4652570 4769856 4856292 5010460 5153616 5260983 5285760 5299840 5395880 5550048 5583084 5726240 5962320 6012552 6070365 6166720 6442020 6475056 6513598 6814080 6871488 6937560 6978855 7014644 7400064 7444112 7515690 7928640 7949760 8016736 8093820 8374626 8589360 8633408 8768305 9018828 9250080 9305140 9539712 9712584 9770397 10020920 10307232 10521966 10791760 11100096 11166168 11273535 11452480 11924640 12025104 12140730 12333440 12884040 12950112 13027196 13742976 13875120 13957710 14029288 14888224 15031380 15782949 15857280 15899520 16033472 16187640 16283995 16749252 17178720 17266816 17536610 18037656 18500160 18610280 19425168 19540794 20041840 20614464 20936565 21043932 21583520 22200192 22332336 22547070 22797593 22904960 23849280 24050208 24281460 25768080 25900224 26054392 26304915 27750240 27915420 28058576 29311191 29776448 30062760 31565898 32066944 32375280 32567990 33498504 34357440 35073220 36075312 37000320 37220560 38850336 39081588 40083680 41228928 41873130 42087864 43167040 44664672 45094140 45595186 47698560 48100416 48562920 48851985 51536160 51800448 52108784 52609830 55500480 55830840 56117152 58622382 59552896 60125520 63131796 64750560 65135980 66997008 68392779 68714880 70146440 72150624 74441120 77700672 78163176 78914745 80167360 83746260 84175728 86334080 89329344 90188280 91190372 96200832 97125840 97703970 103072320 104217568 105219660 111000960 111661680 112234304 113987965 117244764 120251040 126263592 129501120 130271960 133994016 136785558 140292880 144301248 146555955 148882240 155401344 156326352 157829490 160334720 167492520 168351456 178658688 180376560 182380744 194251680 195407940 205178337 206144640 208435136 210439320 223323360 224468608 227975930 234489528 240502080 252527184 259002240 260543920 267988032 273571116 280585760 288602496 293111910 297764480 312652704 315658980 334985040 336702912 341963895 360753120 364761488 388503360 390815880 410356674 416870272 420878640 446646720 455951860 468979056 481004160 505054368 521087840 535976064 547142232 561171520 586223820 625305408 631317960 669970080 673405824 683927790 721506240 729522976 777006720 781631760 820713348 841757280 893293440 911903720 937958112 1010108736 1025891685 1042175680 1094284464 1122343040 1172447640 1250610816 1262635920 1339940160 1367855580 1443012480 1459045952 1563263520 1641426696 1683514560 1823807440 1875916224 2020217472 2051783370 2084351360 2188568928 2344895280 2525271840 2679880320 2735711160 2918091904 3126527040 3282853392 3367029120 3647614880 3751832448 4103566740 4377137856 4689790560 5050543680 5471422320 6253054080 6565706784 7295229760 8207133480 8754275712 9379581120 10101087360 10942844640 13131413568 14590459520 16414266960 18759162240 21885689280 26262827136 32828533920 43771378560 65657067840 131314135680
- Sum of all divisors σ(n): 571379512860
- Sum of proper divisors (its aliquot sum) s(n): 440065377180
- 131314135680 is an abundant number, because the sum of its proper divisors (440065377180) is greater than itself. Its abundance is 308751241500
Bases of 131314135680
- Binary: 11110100100101110111010110010100000002
- Hexadecimal: 0x1E92EEB280
- Base-36: 1OBP1NK0
Squares and roots of 131314135680
- 131314135680 squared (1313141356802) is 17243402229385449062400
- 131314135680 cubed (1313141356803) is 2264302459934335341197722386432000
-
The
square root of 131314135680 is 362372.9234918083 -
The
cube root of 131314135680 is 5082.8094241555
Scales and comparisons
How big is 131314135680?- 131,314,135,680 seconds is equal to 4,175 years, 19 weeks, 6 days, 12 hours, 48 minutes.
-
To count from 1 to 131,314,135,680 would take you about eight thousand, three hundred fifty 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 131314135680 cubic inches would be around 423.6 feet tall.
Recreational maths with 131314135680
- 131314135680 backwards is 086531413131
- 131314135680 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 131314135680's digits is 36
- More coming soon!
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The information we have on file for 131314135680 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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