131385416400
131,385,416,400 is an even composite number composed of eight prime numbers multiplied together.
131385416400 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 131385416400:
24 × 32 × 52 × 7 × 29 × 37 × 43 × 113
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 29 × 37 × 43 × 113)See below for interesting mathematical facts about the number 131385416400 from the Numbermatics database.
Names of 131385416400
- Cardinal: 131385416400 can be written as One hundred thirty-one billion, three hundred eighty-five million, four hundred sixteen thousand, four hundred.
Scientific notation
- Scientific notation: 1.313854164 × 1011
Factors of 131385416400
Divisors of 131385416400
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 29 30 35 36 37 40 42 43 45 48 50 56 58 60 63 70 72 74 75 80 84 86 87 90 100 105 111 112 113 116 120 126 129 140 144 145 148 150 168 172 174 175 180 185 200 203 210 215 222 225 226 232 240 252 258 259 261 280 290 296 300 301 315 333 336 339 344 348 350 360 370 387 400 406 420 430 435 444 450 452 464 504 516 518 522 525 555 560 565 580 592 600 602 609 630 645 666 678 688 696 700 720 725 740 774 777 791 812 840 860 870 888 900 903 904 925 1008 1015 1017 1032 1036 1044 1050 1073 1075 1110 1130 1160 1200 1204 1218 1247 1260 1290 1295 1305 1332 1356 1392 1400 1450 1480 1505 1548 1554 1575 1582 1591 1624 1665 1680 1695 1720 1740 1776 1800 1806 1808 1827 1850 1935 2030 2034 2064 2072 2088 2100 2146 2150 2175 2220 2260 2320 2331 2373 2408 2436 2494 2520 2580 2590 2610 2664 2709 2712 2775 2800 2825 2900 2960 3010 3045 3096 3108 3150 3164 3182 3219 3225 3248 3277 3330 3390 3440 3480 3600 3612 3654 3700 3741 3870 3885 3955 4060 4068 4144 4176 4181 4200 4292 4300 4350 4440 4515 4520 4662 4746 4773 4816 4859 4872 4988 5040 5075 5085 5160 5180 5220 5328 5365 5418 5424 5550 5650 5800 6020 6090 6192 6216 6235 6300 6328 6364 6438 6450 6475 6525 6554 6660 6780 6960 7119 7224 7308 7400 7482 7511 7525 7740 7770 7910 7955 8120 8136 8325 8362 8400 8475 8584 8600 8700 8729 8880 9030 9040 9135 9324 9492 9546 9657 9675 9718 9744 9831 9976 10150 10170 10320 10360 10440 10730 10836 11100 11137 11223 11300 11600 11655 11865 12040 12180 12432 12470 12543 12600 12656 12728 12876 12900 12950 13050 13108 13320 13545 13560 14238 14319 14448 14577 14616 14800 14964 15022 15050 15225 15480 15540 15820 15910 16095 16240 16272 16385 16650 16724 16950 17168 17200 17400 17458 18060 18270 18648 18705 18984 19092 19314 19350 19425 19436 19662 19775 19952 20300 20340 20720 20880 20905 21460 21672 22200 22274 22446 22533 22575 22600 22939 23310 23730 23865 24080 24295 24360 24940 25086 25200 25425 25456 25752 25800 25900 26100 26187 26216 26640 26825 27090 27120 28476 28638 29154 29232 29267 29493 29928 30044 30100 30450 30960 31080 31175 31640 31820 32190 32770 33300 33411 33448 33900 34013 34800 34916 35595 36120 36540 37296 37410 37555 37629 37968 38184 38628 38700 38850 38872 39324 39550 39775 40600 40680 41810 42920 43344 43645 43731 44400 44548 44892 45066 45150 45200 45675 45878 46139 46620 47460 47730 48285 48590 48720 49155 49880 50172 50850 51504 51600 51800 52200 52374 52432 53650 54180 55685 56115 56952 57276 58275 58308 58534 58986 59325 59856 60088 60200 60900 62160 62350 62715 63280 63640 64380 65540 66600 66822 66896 67599 67725 67800 68026 68817 69832 71190 71595 72240 72885 73080 74820 75110 75258 76368 77256 77400 77700 77744 78561 78648 79100 79550 80475 81200 81360 81925 83620 85840 87290 87462 87801 89096 89784 90132 90300 91350 91756 92278 93240 93525 94920 95460 96570 97180 98310 99760 100233 100344 101700 102039 103600 104400 104525 104748 107300 108360 111370 112230 112665 113904 114552 114695 116550 116616 117068 117972 118650 119325 120176 120400 121249 121475 121800 124700 125430 127280 128760 130935 131080 133200 133644 135198 135450 135600 136052 137634 138417 139664 140911 142380 143190 145770 146160 146335 147465 149640 150220 150516 154512 154800 155400 157122 157296 158200 159100 160950 163850 167055 167240 170065 174580 174924 175602 177975 178192 179568 179783 180264 180600 182700 183512 184556 186480 187050 187775 188145 189840 190920 193140 194360 196620 200466 200688 203400 204078 206451 209050 209496 214600 216720 218225 218655 222740 224460 225330 229104 229390 230695 233100 233232 234136 235944 237300 238650 241425 242498 242950 243600 245775 249400 250860 257520 261870 262160 263403 267288 270396 270900 272104 275268 276834 278425 280575 281822 284760 286380 291540 292670 294930 299280 300440 301032 306117 310800 313575 314244 316400 318200 321900 322973 327700 334110 334480 337995 340130 344085 349160 349848 351204 355950 357975 359566 360528 361200 363747 364425 365400 367024 369112 374100 375550 376290 381840 386280 388720 392805 393240 400932 406800 408156 412902 415251 418100 418992 422733 429200 436450 437310 439005 445480 448920 450660 458780 461390 466200 468272 471888 474600 477300 482850 484996 485900 491550 498800 501165 501720 510195 523740 526806 534576 539349 540792 541800 544208 550536 553668 556850 561150 563325 563644 569520 572760 573475 583080 585340 589860 600880 602064 606245 612234 627150 628488 636400 643800 645946 654675 655400 668220 675990 680260 688170 692085 698320 699696 702408 704555 711900 715950 719132 727494 728850 730800 731675 737325 738224 748200 751100 752580 772560 785610 786480 801864 816312 825804 830502 835275 836200 845466 848743 850325 872900 874620 878010 890960 897840 898915 901320 917560 922780 932400 940725 949200 954600 965700 968919 969992 971800 983100 986377 1002330 1003440 1020390 1032255 1047480 1053612 1078698 1081584 1083600 1091241 1093275 1101072 1107336 1113700 1122300 1126650 1127288 1145520 1146950 1153475 1166160 1170680 1179720 1212490 1224468 1254300 1256976 1258481 1268199 1287600 1291892 1309350 1310800 1317015 1336440 1351980 1360520 1376340 1384170 1404816 1409110 1423800 1431900 1438264 1454988 1457700 1463350 1474650 1496400 1502200 1505160 1530585 1571220 1603728 1614865 1618047 1632624 1651608 1661004 1670550 1672400 1689975 1690932 1697486 1700650 1720425 1745800 1749240 1756020 1797830 1802640 1818735 1835120 1845560 1881450 1909200 1931400 1937838 1939984 1943600 1964025 1966200 1972754 2004660 2040780 2064510 2076255 2094960 2107224 2113665 2157396 2182482 2186550 2195025 2214672 2227400 2244600 2253300 2254576 2293900 2306950 2341360 2359440 2424980 2448936 2505825 2508600 2516962 2536398 2546229 2550975 2583784 2618700 2634030 2672880 2696745 2703960 2721040 2752680 2768340 2818220 2847600 2863800 2876528 2906757 2909976 2915400 2926700 2949300 2959131 3004400 3010320 3031225 3061170 3142440 3229730 3236094 3303216 3322008 3341100 3379950 3381864 3394972 3401300 3440850 3460425 3491600 3498480 3512040 3522775 3595660 3637470 3691120 3762900 3775443 3862800 3875676 3928050 3932400 3945508 4009320 4081560 4129020 4152510 4214448 4227330 4243715 4314792 4364964 4373100 4390050 4454800 4489200 4494575 4506600 4587800 4613900 4844595 4849960 4897872 4931885 5011650 5017200 5033924 5072796 5092458 5101950 5161275 5167568 5213707 5237400 5268060 5393490 5407920 5456205 5505360 5536680 5636440 5727600 5813514 5819952 5830800 5853400 5898600 5918262 6062450 6122340 6284880 6292405 6340995 6459460 6472188 6585075 6644016 6682200 6759900 6763728 6789944 6802600 6881700 6920850 7024080 7045550 7191320 7274940 7525800 7550886 7638687 7652925 7751352 7856100 7891016 8018640 8074325 8090235 8163120 8258040 8305020 8454660 8487430 8629584 8729928 8746200 8780100 8877393 8989150 9013200 9093675 9175600 9227800 9689190 9699920 9863770 10023300 10067848 10145592 10184916 10203900 10322550 10381275 10427414 10474800 10536120 10568325 10786980 10912410 11073360 11272880 11326329 11627028 11706800 11797200 11836524 12124900 12244680 12584810 12681990 12731145 12918920 12944376 13170150 13364400 13483725 13519800 13579888 13605200 13763400 13841700 14091100 14382640 14533785 14549880 14795655 15051600 15101772 15277374 15305850 15502704 15641121 15712200 15782032 16148650 16180470 16516080 16610040 16909320 16974860 17459856 17492400 17560200 17754786 17978300 18187350 18455600 18877215 19378380 19727540 20046600 20135696 20291184 20369832 20407800 20645100 20762550 20854828 21072240 21136650 21218575 21573960 21824820 22652658 23254056 23673048 24222975 24249800 24489360 24659425 25169620 25363980 25462290 25837840 25888752 26068535 26340300 26967450 27039600 27281025 27526800 27683400 28182200 29067570 29099760 29591310 30203544 30554748 30611700 31282242 31424400 31462025 31704975 32297300 32360940 33220080 33818640 33949720 35120400 35509572 35956600 36374700 36495949 37754430 38193435 38756760 39455080 40093200 40451175 40739664 40815600 41290200 41525100 41709656 42273300 42437150 43147920 43649640 44386965 45305316 46508112 46923363 47346096 48445950 48499600 49318850 50339240 50727960 50924580 52137070 52680600 53934900 54562050 55366800 56364400 56631645 58135140 59182620 60407088 61109496 61223400 62564484 62924050 63409950 63655725 64594600 64721880 67899440 71019144 71913200 72668925 72749400 72991898 73978275 75508860 76386870 77513520 78205605 78910160 80902350 82580400 83050200 83419312 84546600 84874300 87299280 88773930 90610632 93846726 94386075 96891900 98637700 100678480 101455920 101849160 104274140 105361200 107869800 109124100 109487847 113263290 116270280 118365240 122218992 122446800 125128968 125848100 126819900 127311450 129189200 129443760 130342675 142038288 145337850 145498800 145983796 147956550 151017720 152773740 156411210 161804700 166100400 169093200 169748600 177547860 181221264 182479745 187693452 188772150 190967175 193783800 197275400 203698320 208548280 215739600 218248200 218975694 221934825 226526580 232540560 234616815 236730480 250257936 251696200 253639800 254622900 260685350 283158225 290675700 291967592 295913100 302035440 305547480 312822420 323609400 328463541 339497200 355095720 364959490 375386904 377544300 381934350 387567600 391028025 394550800 417096560 436496400 437951388 443869650 453053160 469233630 503392400 507279600 509245800 521370700 547439235 566316450 581351400 583935184 591826200 611094960 625644840 647218800 656927082 710191440 729918980 750773808 755088600 763868700 782056050 875902776 887739300 906106320 912398725 938467260 1018491600 1042741400 1094878470 1132632900 1162702800 1173084075 1183652400 1251289680 1313854164 1459837960 1510177200 1527737400 1564112100 1642317705 1751805552 1775478600 1824797450 1876934520 2085482800 2189756940 2265265800 2346168150 2627708328 2737196175 2919675920 3055474800 3128224200 3284635410 3550957200 3649594900 3753869040 4379513880 4530531600 4692336300 5255416656 5474392350 6256448400 6569270820 7299189800 8211588525 8759027760 9384672600 10948784700 13138541640 14598379600 16423177050 18769345200 21897569400 26277083280 32846354100 43795138800 65692708200 131385416400
- Sum of all divisors σ(n): 571503778560
- Sum of proper divisors (its aliquot sum) s(n): 440118362160
- 131385416400 is an abundant number, because the sum of its proper divisors (440118362160) is greater than itself. Its abundance is 308732945760
Bases of 131385416400
- Binary: 11110100101110010111001011010110100002
- Hexadecimal: 0x1E972E5AD0
- Base-36: 1OCVHG40
Squares and roots of 131385416400
- 131385416400 squared (1313854164002) is 17262127642601388960000
- 131385416400 cubed (1313854164003) is 2267991828273133867727962944000000
-
The
square root of 131385416400 is 362471.2628609335 -
The
cube root of 131385416400 is 5083.7289514067
Scales and comparisons
How big is 131385416400?- 131,385,416,400 seconds is equal to 4,177 years, 33 weeks, 5 days, 13 hours.
-
To count from 1 to 131,385,416,400 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 131385416400 cubic inches would be around 423.6 feet tall.
Recreational maths with 131385416400
- 131385416400 backwards is 004614583131
- 131385416400 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 131385416400's digits is 36
- 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 131385416400 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.
APA style:
Numbermatics. (2024). Number 131385416400 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/131385416400/
Chicago style:
Numbermatics. 2024. "Number 131385416400 - Facts about the integer". https://numbermatics.com/n/131385416400/
The information we have on file for 131385416400 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 131385416400, math, Factors of 131385416400, curriculum, school, college, exams, university, Prime factorization of 131385416400, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-one billion, three hundred eighty-five million, four hundred sixteen thousand, four hundred.