13006778400
13,006,778,400 is an even composite number composed of seven prime numbers multiplied together.
13006778400 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 13006778400:
25 × 32 × 52 × 7 × 11 × 29 × 809
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 11 × 29 × 809)See below for interesting mathematical facts about the number 13006778400 from the Numbermatics database.
Names of 13006778400
- Cardinal: 13006778400 can be written as Thirteen billion, six million, seven hundred seventy-eight thousand, four hundred.
Scientific notation
- Scientific notation: 1.30067784 × 1010
Factors of 13006778400
Divisors of 13006778400
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 25 28 29 30 32 33 35 36 40 42 44 45 48 50 55 56 58 60 63 66 70 72 75 77 80 84 87 88 90 96 99 100 105 110 112 116 120 126 132 140 144 145 150 154 160 165 168 174 175 176 180 198 200 203 210 220 224 225 231 232 240 252 261 264 275 280 288 290 300 308 315 319 330 336 348 350 352 360 385 396 400 406 420 435 440 450 462 464 480 495 504 522 525 528 550 560 580 600 609 616 630 638 660 672 693 696 700 720 725 770 792 800 809 812 825 840 870 880 900 924 928 957 990 1008 1015 1044 1050 1056 1100 1120 1155 1160 1200 1218 1232 1260 1276 1305 1320 1386 1392 1400 1440 1450 1540 1575 1584 1595 1618 1624 1650 1680 1740 1760 1800 1827 1848 1914 1925 1980 2016 2030 2088 2100 2175 2200 2233 2310 2320 2400 2427 2436 2464 2475 2520 2552 2610 2640 2772 2784 2800 2871 2900 3045 3080 3150 3168 3190 3236 3248 3300 3360 3465 3480 3600 3654 3696 3828 3850 3960 4045 4060 4176 4200 4350 4400 4466 4620 4640 4785 4854 4872 4950 5040 5075 5104 5220 5280 5544 5600 5663 5742 5775 5800 6090 6160 6300 6380 6472 6496 6525 6600 6699 6930 6960 7200 7281 7308 7392 7656 7700 7920 7975 8090 8120 8352 8400 8700 8800 8899 8932 9135 9240 9570 9708 9744 9900 10080 10150 10208 10440 11088 11165 11326 11484 11550 11600 12135 12180 12320 12600 12760 12944 13050 13200 13398 13860 13920 14355 14562 14616 15225 15312 15400 15840 15950 16180 16240 16800 16989 17325 17400 17798 17864 18270 18480 19140 19416 19488 19800 20097 20225 20300 20880 22176 22330 22652 22968 23100 23200 23461 23925 24270 24360 25200 25520 25888 26100 26400 26697 26796 27720 28315 28710 29124 29232 30450 30624 30800 31900 32360 32480 33495 33978 34650 34800 35596 35728 36405 36540 36960 38280 38832 39600 40194 40450 40600 41760 44495 44660 45304 45675 45936 46200 46922 47850 48540 48720 50400 50967 51040 52200 53394 53592 55440 55825 56630 57420 58248 58464 60675 60900 61600 62293 63800 64720 66990 67956 69300 69600 70383 71192 71456 71775 72810 73080 76560 77664 79200 80091 80388 80900 81200 84945 88990 89320 90608 91350 91872 92400 93844 95700 97080 97440 100485 101934 104400 106788 107184 110880 111650 113260 114840 116496 117305 121350 121800 124586 127600 129440 133485 133980 135912 138600 140766 141575 142384 143550 145620 146160 153120 160182 160776 161800 162400 164227 167475 169890 177980 178640 181216 182025 182700 184800 186879 187688 191400 194160 200970 203868 208800 211149 213576 214368 222475 223300 226520 229680 232992 234610 242700 243600 249172 254835 255200 258071 266970 267960 271824 277200 281532 283150 284768 287100 291240 292320 311465 320364 321552 323600 328454 334950 339780 351915 355960 357280 364050 365400 373758 375376 382800 388320 400455 401940 407736 422298 424725 427152 444950 446600 453040 459360 469220 485400 487200 492681 498344 502425 509670 516142 533940 535920 543648 554400 560637 563064 566300 574200 582480 586525 622930 640728 643104 647200 656908 667425 669900 679560 703830 711920 728100 730800 747516 750752 765600 774213 800910 803880 815472 821135 844596 849450 854304 889900 893200 906080 934395 938440 970800 985362 996688 1004850 1019340 1032284 1055745 1067880 1071840 1121274 1126128 1132600 1148400 1164960 1173050 1245860 1274175 1281456 1290355 1313816 1334850 1339800 1359120 1407660 1423840 1456200 1461600 1478043 1495032 1548426 1557325 1601820 1607760 1630944 1642270 1689192 1698900 1759575 1779800 1786400 1806497 1868790 1876880 1941600 1970724 1993376 2002275 2009700 2038680 2064568 2111490 2135760 2242548 2252256 2265200 2296800 2322639 2346100 2463405 2491720 2548350 2562912 2580710 2627632 2669700 2679600 2718240 2803185 2815320 2912400 2956086 2990064 3096852 3114650 3203640 3215520 3284540 3378384 3397800 3519150 3559600 3612994 3737580 3753760 3871065 3941448 4004550 4019400 4077360 4105675 4129136 4222980 4271520 4485096 4530400 4645278 4671975 4692200 4926810 4983440 5096700 5161420 5255264 5278725 5339400 5359200 5419491 5606370 5630640 5824800 5912172 5980128 6193704 6229300 6407280 6451775 6569080 6756768 6795600 7038300 7119200 7225988 7390215 7475160 7742130 7882896 8009100 8038800 8154720 8211350 8258272 8445960 8970192 9032485 9290556 9343950 9384400 9853620 9966880 10193400 10322840 10557450 10678800 10838982 11212740 11261280 11613195 11824344 12317025 12387408 12458600 12814560 12903550 13138160 13591200 14015925 14076600 14451976 14780430 14950320 15484260 15765792 16018200 16077600 16258473 16422700 16891920 17940384 18064970 18581112 18687900 18768800 19355325 19707240 20386800 20645680 21114900 21357600 21677964 22425480 23226390 23648688 24634050 24774816 24917200 25807100 26276320 27097455 28031850 28153200 28903952 29560860 29900640 30968520 32036400 32516946 32845400 33783840 36129940 36951075 37162224 37375800 38710650 39414480 40773600 41291360 42229800 43355928 44850960 45162425 46452780 47297376 49268100 49834400 51614200 54194910 56063700 56306400 57807904 58065975 59121720 61937040 64072800 65033892 65690800 72259880 73902150 74324448 74751600 77421300 78828960 81292365 84459600 86711856 89701920 90324850 92905560 98536200 103228400 108389820 112127400 116131950 118243440 123874080 130067784 131381600 135487275 144519760 147804300 149503200 154842600 162584730 168919200 173423712 180649700 185811120 197072400 206456800 216779640 224254800 232263900 236486880 260135568 270974550 289039520 295608600 309685200 325169460 361299400 371622240 394144800 406461825 433559280 448509600 464527800 520271136 541949100 591217200 619370400 650338920 722598800 812923650 867118560 929055600 1083898200 1182434400 1300677840 1445197600 1625847300 1858111200 2167796400 2601355680 3251694600 4335592800 6503389200 13006778400
- Sum of all divisors σ(n): 59227459200
- Sum of proper divisors (its aliquot sum) s(n): 46220680800
- 13006778400 is an abundant number, because the sum of its proper divisors (46220680800) is greater than itself. Its abundance is 33213902400
Bases of 13006778400
- Binary: 11000001110100001110110000001000002
- Hexadecimal: 0x30743B020
- Base-36: 5Z3WEG0
Squares and roots of 13006778400
- 13006778400 squared (130067784002) is 169176284346706560000
- 13006778400 cubed (130067784003) is 2200438441033000995746304000000
-
The
square root of 13006778400 is 114047.2638865133 -
The
cube root of 13006778400 is 2351.7432907385
Scales and comparisons
How big is 13006778400?- 13,006,778,400 seconds is equal to 413 years, 29 weeks, 6 days, 10 hours.
-
To count from 1 to 13,006,778,400 would take you about eight hundred twenty-seven 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 13006778400 cubic inches would be around 196 feet tall.
Recreational maths with 13006778400
- 13006778400 backwards is 00487760031
- 13006778400 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 13006778400'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 13006778400 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
APA style:
Numbermatics. (2024). Number 13006778400 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/13006778400/
Chicago style:
Numbermatics. 2024. "Number 13006778400 - Facts about the integer". https://numbermatics.com/n/13006778400/
The information we have on file for 13006778400 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 13006778400, math, Factors of 13006778400, curriculum, school, college, exams, university, Prime factorization of 13006778400, STEM, science, technology, engineering, physics, economics, calculator, thirteen billion, six million, seven hundred seventy-eight thousand, four hundred.