131382412200
131,382,412,200 is an even composite number composed of seven prime numbers multiplied together.
131382412200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 131382412200:
23 × 32 × 52 × 13 × 192 × 103 × 151
(2 × 2 × 2 × 3 × 3 × 5 × 5 × 13 × 19 × 19 × 103 × 151)See below for interesting mathematical facts about the number 131382412200 from the Numbermatics database.
Names of 131382412200
- Cardinal: 131382412200 can be written as One hundred thirty-one billion, three hundred eighty-two million, four hundred twelve thousand, two hundred.
Scientific notation
- Scientific notation: 1.313824122 × 1011
Factors of 131382412200
Divisors of 131382412200
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 18 19 20 24 25 26 30 36 38 39 40 45 50 52 57 60 65 72 75 76 78 90 95 100 103 104 114 117 120 130 150 151 152 156 171 180 190 195 200 206 225 228 234 247 260 285 300 302 309 312 325 342 360 361 380 390 412 450 453 456 468 475 494 515 520 570 585 600 604 618 650 684 722 741 755 760 780 824 855 900 906 927 936 950 975 988 1030 1083 1140 1170 1208 1235 1236 1300 1339 1359 1368 1425 1444 1482 1510 1545 1560 1710 1800 1805 1812 1854 1900 1950 1957 1963 1976 2060 2166 2223 2265 2280 2340 2470 2472 2575 2600 2678 2718 2850 2869 2888 2925 2964 3020 3090 3249 3420 3610 3624 3705 3708 3775 3800 3900 3914 3926 4017 4120 4275 4332 4446 4530 4635 4680 4693 4940 5150 5356 5415 5436 5700 5738 5850 5871 5889 5928 6040 6175 6180 6498 6695 6795 6840 7220 7410 7416 7550 7725 7800 7828 7852 8034 8550 8607 8664 8892 9025 9060 9270 9386 9785 9815 9880 10300 10712 10830 10872 11115 11325 11400 11476 11700 11742 11778 12051 12350 12360 12996 13390 13590 14079 14345 14440 14820 15100 15450 15553 15656 15704 16068 16245 17100 17214 17613 17667 17784 18050 18120 18525 18540 18772 19570 19630 20085 20600 21660 22230 22650 22952 23175 23400 23465 23484 23556 24102 24700 25441 25821 25992 26780 27075 27180 28158 28690 29355 29445 29640 30200 30900 31106 32136 32490 33475 33975 34200 34428 35226 35334 36100 37050 37080 37183 37297 37544 39140 39260 40170 42237 43035 43320 44460 45300 46350 46659 46930 46968 47112 48204 48925 49075 49400 50882 51642 53560 54150 54360 54511 55575 56316 57380 58710 58890 60255 61800 62212 64980 66950 67950 68856 70395 70452 70668 71725 72200 74100 74366 74594 76323 77765 78280 78520 80340 81225 84474 86070 88065 88335 88920 90600 92700 93318 93860 96408 97850 98150 100425 101764 103284 108300 109022 111150 111549 111891 112632 114760 117325 117420 117780 120510 124424 127205 129105 129960 133900 135900 139977 140790 140904 141336 143450 146775 147225 148200 148732 149188 152646 155530 160680 162450 163533 168948 172140 176130 176670 185400 185915 186485 186636 187720 195700 196300 200850 202189 203528 206568 211185 215175 216600 218044 222300 223098 223782 228969 233295 234650 234840 235560 241020 254410 258210 267800 271800 272555 279954 281580 286900 293550 294450 295507 297464 298376 301275 305292 311060 324900 327066 334647 335673 337896 344280 351975 352260 353340 371830 372970 373272 381615 388825 391400 392600 401700 404378 422370 430350 436088 440325 441675 444600 446196 447564 457938 466590 469300 482040 483379 490599 508820 516420 545110 557745 559455 559908 563160 573800 587100 588900 591014 602550 606567 610584 622120 636025 645525 649800 654132 669294 671346 699885 703950 704520 706680 708643 743660 745940 763230 777650 803400 808756 817665 844740 860700 880650 883350 886521 892392 895128 915876 929575 932425 933180 938600 966758 981198 1010945 1017640 1032840 1055925 1090220 1115490 1118910 1119816 1144845 1166475 1174200 1177800 1182028 1205100 1213134 1272050 1291050 1308264 1338588 1342692 1362775 1399770 1407900 1417286 1450137 1477535 1487320 1491880 1526460 1555300 1617512 1635330 1673235 1678365 1689480 1721400 1761300 1766700 1773042 1819701 1831752 1859150 1864850 1866360 1908075 1933516 1962396 2021890 2111850 2125929 2180440 2230980 2237820 2289690 2332950 2364056 2410200 2416895 2426268 2452995 2544100 2582100 2659563 2677176 2685384 2725550 2788725 2797275 2799540 2815800 2834572 2900274 2955070 3032835 3052920 3110600 3270660 3346470 3356730 3499425 3522600 3533400 3543215 3546084 3639402 3718300 3729700 3816150 3841591 3867032 3924792 4043780 4088325 4223700 4251858 4350411 4432605 4461960 4475640 4579380 4665900 4833790 4852536 4905990 5054725 5088200 5164200 5319126 5451100 5577450 5594550 5599080 5614633 5669144 5724225 5800548 5910140 6065670 6377787 6541320 6692940 6713460 6998850 7086430 7092168 7250685 7278804 7387675 7436600 7459400 7632300 7683182 8087560 8176650 8366175 8391825 8447400 8503716 8700822 8865210 9098505 9158760 9331800 9667580 9811980 10109450 10629645 10638252 10902200 11154900 11189100 11229266 11448450 11524773 11601096 11820280 12084475 12131340 12264975 12755574 13297815 13385880 13426920 13997700 14172860 14501370 14557608 14775350 15164175 15264600 15366364 16353300 16732350 16783650 16843899 17007432 17401644 17716075 17730420 18197010 19207955 19335160 19623960 20218900 21259290 21276504 21752055 22163025 22309800 22378200 22458532 22896900 23049546 24168950 24262680 24529950 25511148 26595630 27995400 28073165 28345720 29002740 29550700 30328350 30732728 31888935 32706600 33464700 33567300 33687798 34574319 34803288 35432150 35460840 36253425 36394020 38415910 40437800 42518580 43504110 44326050 44917064 45492525 45793800 46099092 48337900 49059900 50531697 51022296 53148225 53191260 56146330 57623865 58005480 59101400 60656700 63777870 66489075 66929400 67134600 67375596 69148638 70864300 72506850 72788040 72990229 76831820 84219495 85037160 87008220 88652100 90985050 92198184 96039775 96675800 98119800 101063394 106296450 106382520 108760275 112292660 115247730 121313400 127555740 132978150 134751192 138297276 140365825 141728600 145013700 145980458 153663640 159444675 168438990 172871595 174016440 177304200 181970100 192079550 202126788 212592900 217520550 218970687 224585320 230495460 252658485 255111480 265956300 276594552 280731650 288119325 290027400 291960916 318889350 336877980 345743190 363940200 364951145 384159100 404253576 421097475 425185800 435041100 437941374 460990920 505316970 531912600 561463300 576238650 583921832 637778700 656912061 673755960 691486380 729902290 768318200 842194950 864357975 870082200 875882748 1010633940 1094853435 1122926600 1152477300 1263292425 1275557400 1313824122 1382972760 1459804580 1684389900 1728715950 1751765496 1824755725 2021267880 2189706870 2304954600 2526584850 2627648244 2919609160 3284560305 3368779800 3457431900 3649511450 4379413740 5053169700 5255296488 5474267175 6569120610 6914863800 7299022900 8758827480 10106339400 10948534350 13138241220 14598045800 16422801525 21897068700 26276482440 32845603050 43794137400 65691206100 131382412200
- Sum of all divisors σ(n): 509713626240
- Sum of proper divisors (its aliquot sum) s(n): 378331214040
- 131382412200 is an abundant number, because the sum of its proper divisors (378331214040) is greater than itself. Its abundance is 246948801840
Bases of 131382412200
- Binary: 11110100101110000000010000011101010002
- Hexadecimal: 0x1E970083A8
- Base-36: 1OCTP220
Squares and roots of 131382412200
- 131382412200 squared (1313824122002) is 17261338235490708840000
- 131382412200 cubed (1313824122003) is 2267836255178860978087063848000000
-
The
square root of 131382412200 is 362467.1187845871 -
The
cube root of 131382412200 is 5083.6902036895
Scales and comparisons
How big is 131382412200?- 131,382,412,200 seconds is equal to 4,177 years, 28 weeks, 5 days, 18 hours, 30 minutes.
-
To count from 1 to 131,382,412,200 would take you about eight thousand, three hundred fifty-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 131382412200 cubic inches would be around 423.6 feet tall.
Recreational maths with 131382412200
- 131382412200 backwards is 002214283131
- The number of decimal digits it has is: 12
- The sum of 131382412200's digits is 27
- More coming soon!
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