13123706400
13,123,706,400 is an even composite number composed of seven prime numbers multiplied together.
13123706400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 13123706400:
25 × 33 × 52 × 7 × 29 × 41 × 73
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 7 × 29 × 41 × 73)See below for interesting mathematical facts about the number 13123706400 from the Numbermatics database.
Names of 13123706400
- Cardinal: 13123706400 can be written as Thirteen billion, one hundred twenty-three million, seven hundred six thousand, four hundred.
Scientific notation
- Scientific notation: 1.31237064 × 1010
Factors of 13123706400
Divisors of 13123706400
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 29 30 32 35 36 40 41 42 45 48 50 54 56 58 60 63 70 72 73 75 80 82 84 87 90 96 100 105 108 112 116 120 123 126 135 140 144 145 146 150 160 164 168 174 175 180 189 200 203 205 210 216 219 224 225 232 240 246 252 261 270 280 287 288 290 292 300 315 328 336 348 350 360 365 369 378 400 406 410 420 432 435 438 450 464 480 492 504 511 522 525 540 560 574 580 584 600 609 615 630 656 657 672 675 696 700 720 725 730 738 756 783 800 812 820 840 861 864 870 876 900 928 945 984 1008 1015 1022 1025 1044 1050 1080 1095 1107 1120 1148 1160 1168 1189 1200 1218 1230 1260 1305 1312 1314 1350 1392 1400 1435 1440 1450 1460 1476 1512 1533 1566 1575 1624 1640 1680 1722 1740 1752 1800 1825 1827 1845 1890 1968 1971 2016 2030 2044 2050 2088 2100 2117 2160 2175 2190 2214 2296 2320 2336 2378 2400 2436 2460 2520 2555 2583 2610 2628 2700 2784 2800 2870 2900 2920 2952 2993 3024 3045 3066 3075 3132 3150 3248 3280 3285 3360 3444 3480 3504 3567 3600 3650 3654 3690 3780 3915 3936 3942 4060 4088 4100 4176 4200 4234 4305 4320 4350 4380 4428 4592 4599 4640 4725 4756 4872 4920 5040 5075 5110 5166 5220 5256 5400 5475 5481 5535 5600 5740 5800 5840 5904 5945 5986 6048 6090 6132 6150 6264 6300 6351 6496 6525 6560 6570 6888 6960 7008 7134 7175 7200 7300 7308 7380 7560 7665 7749 7830 7884 8120 8176 8200 8323 8352 8400 8468 8610 8700 8760 8856 8979 9135 9184 9198 9225 9450 9512 9744 9840 9855 10080 10150 10220 10332 10440 10512 10585 10701 10800 10950 10962 11070 11480 11600 11680 11808 11890 11972 12180 12264 12300 12528 12600 12702 12775 12915 13050 13140 13776 13797 13920 14268 14350 14600 14616 14760 14819 14965 15120 15225 15330 15498 15660 15768 16240 16352 16400 16425 16646 16800 16936 17220 17400 17520 17712 17835 17958 18270 18396 18450 18900 19024 19053 19488 19575 19680 19710 20300 20440 20664 20880 20951 21024 21170 21402 21525 21600 21900 21924 22140 22960 22995 23200 23780 23944 24360 24528 24600 24969 25056 25200 25404 25550 25830 26100 26280 26937 27405 27552 27594 27675 28536 28700 29200 29232 29520 29638 29725 29930 30240 30450 30660 30996 31320 31536 31755 32103 32480 32800 32850 33292 33872 34440 34800 35040 35424 35670 35916 36540 36792 36900 37800 38048 38106 38325 38745 39150 39420 40600 40880 41328 41615 41760 41902 42340 42804 43050 43800 43848 44280 44457 44895 45675 45920 45990 47560 47888 48720 49056 49200 49275 49938 50400 50808 51100 51660 52200 52560 52925 53505 53874 54810 55188 55350 57072 57159 57400 58400 58464 59040 59276 59450 59860 60900 61320 61992 62640 62853 63072 63510 64206 64575 65700 66584 67744 68880 68985 69600 71340 71832 73080 73584 73800 74095 74825 74907 75600 76212 76650 77490 78300 78840 80811 81200 81760 82656 83230 83804 84680 85608 86100 86797 87600 87696 88560 88914 89175 89790 91350 91980 95120 95265 95776 97440 98400 98550 99876 101616 102200 103320 104400 104755 105120 105850 107010 107748 109620 110376 110700 114144 114318 114800 114975 118552 118900 119720 121800 122640 123984 124845 125280 125706 127020 128412 129150 131400 133168 133371 134685 137025 137760 137970 142680 143664 146160 147168 147600 148190 149650 149814 151200 152424 153300 154980 156600 157680 158775 160515 161622 162400 166460 167608 169360 171216 172200 173594 175200 175392 177120 177828 178350 179580 182700 183960 188559 190240 190530 193725 197100 199752 203232 204400 206640 208075 208800 209510 211700 214020 215496 219240 220752 221400 222285 224475 224721 228636 229600 229950 237104 237800 239440 243600 245280 247968 249690 251412 254040 256824 258300 260391 262800 266336 266742 267525 269370 274050 275940 285360 285795 287328 292320 295200 296380 299300 299628 304848 306600 309960 313200 314265 315360 317550 321030 323244 332920 335216 338720 342432 344400 344925 347188 355656 356700 359160 365400 367920 370475 374535 377118 381060 387450 394200 399504 400113 404055 408800 413280 416150 419020 423400 428040 430992 433985 438480 441504 442800 444570 448950 449442 457272 459900 474208 475600 476325 478880 487200 499380 502824 508080 513648 516600 520782 523775 525600 533484 535050 538740 548100 551880 565677 570720 571590 592760 598600 599256 607579 609696 613200 619920 624225 626400 628530 635100 642060 646488 665840 666855 670432 673425 688800 689850 694376 711312 713400 718320 730800 735840 740950 749070 754236 762120 774900 781173 788400 799008 800226 802575 808110 832300 838040 846800 856080 861984 867970 876960 885600 889140 897900 898884 914544 919800 942795 951200 952650 998760 1005648 1016160 1027296 1033200 1041564 1047550 1066968 1070100 1077480 1096200 1103760 1111425 1123605 1131354 1143180 1185520 1197200 1198512 1215158 1226400 1239840 1248450 1257060 1270200 1284120 1292976 1301955 1331680 1333710 1346850 1379700 1388752 1422624 1426800 1428975 1436640 1461600 1481900 1498140 1508472 1524240 1549800 1562346 1571325 1576800 1600452 1605150 1616220 1664600 1676080 1693600 1712160 1735940 1778280 1795800 1797768 1822737 1829088 1839600 1872675 1885590 1905300 1997520 2000565 2011296 2020275 2066400 2083128 2095100 2133936 2140200 2154960 2169925 2192400 2207520 2222850 2247210 2262708 2286360 2343519 2371040 2394400 2397024 2430316 2496900 2514120 2540400 2568240 2585952 2603910 2667420 2693700 2759400 2777504 2828385 2853600 2857950 2963800 2996280 3016944 3037895 3048480 3099600 3124692 3142650 3200904 3210300 3232440 3329200 3334275 3352160 3471880 3556560 3591600 3595536 3645474 3679200 3745350 3771180 3810600 3905865 3995040 4001130 4040550 4166256 4190200 4267872 4280400 4309920 4339850 4384800 4445700 4494420 4525416 4572720 4687038 4713975 4860632 4993800 5028240 5080800 5136480 5207820 5334840 5387400 5468211 5518800 5618025 5656770 5715900 5927600 5992560 6033888 6075790 6199200 6249384 6285300 6401808 6420600 6464880 6509775 6658400 6668550 6943760 7113120 7183200 7191072 7290948 7490700 7542360 7621200 7811730 8002260 8081100 8332512 8380400 8560800 8679700 8891400 8988840 9050832 9113685 9145440 9374076 9427950 9721264 9987600 10002825 10056480 10415640 10669680 10774800 10936422 11037600 11236050 11313540 11431800 11717595 11855200 11985120 12151580 12498768 12570600 12803616 12841200 12929760 13019550 13337100 13887520 14141925 14581896 14981400 15084720 15189475 15242400 15623460 16004520 16162200 16404633 16760800 17359400 17782800 17977680 18101664 18227370 18748152 18855900 19442528 19529325 19975200 20005650 20831280 21339360 21549600 21872844 22472100 22627080 22863600 23435190 24303160 24997536 25141200 25682400 26039100 26674200 27341055 28283850 29163792 29962800 30169440 30378950 31246920 32009040 32324400 32809266 34718800 35565600 35955360 36454740 37496304 37711800 39058650 40011300 41662560 43745688 44944200 45254160 45568425 45727200 46870380 48606320 50282400 52078200 53348400 54682110 56567700 58327584 58587975 59925600 60757900 62493840 64018080 64648800 65618532 69437600 72909480 74992608 75423600 78117300 80022600 82023165 87491376 89888400 90508320 91136850 93740760 97212640 104156400 106696800 109364220 113135400 117175950 121515800 124987680 131237064 136705275 145818960 150847200 156234600 160045200 164046330 174982752 179776800 182273700 187481520 208312800 218728440 226270800 234351900 243031600 262474128 273410550 291637920 312469200 320090400 328092660 364547400 374963040 410115825 437456880 452541600 468703800 486063200 524948256 546821100 624938400 656185320 729094800 820231650 874913760 937407600 1093642200 1312370640 1458189600 1640463300 1874815200 2187284400 2624741280 3280926600 4374568800 6561853200 13123706400
- Sum of all divisors σ(n): 58271270400
- Sum of proper divisors (its aliquot sum) s(n): 45147564000
- 13123706400 is an abundant number, because the sum of its proper divisors (45147564000) is greater than itself. Its abundance is 32023857600
Bases of 13123706400
- Binary: 11000011100011101111011110001000002
- Hexadecimal: 0x30E3BDE20
- Base-36: 611IKO0
Squares and roots of 13123706400
- 13123706400 squared (131237064002) is 172231669673400960000
- 13123706400 cubed (131237064003) is 2260317865575498088518144000000
-
The
square root of 13123706400 is 114558.7465015219 -
The
cube root of 13123706400 is 2358.7694916255
Scales and comparisons
How big is 13123706400?- 13,123,706,400 seconds is equal to 417 years, 15 weeks, 1 day, 18 hours.
-
To count from 1 to 13,123,706,400 would take you about eight hundred thirty-four 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 13123706400 cubic inches would be around 196.6 feet tall.
Recreational maths with 13123706400
- 13123706400 backwards is 00460732131
- 13123706400 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 13123706400's digits is 27
- 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 13123706400 - Facts about the integer". Numbermatics.com. 2024. Web. 27 April 2024.
APA style:
Numbermatics. (2024). Number 13123706400 - Facts about the integer. Retrieved 27 April 2024, from https://numbermatics.com/n/13123706400/
Chicago style:
Numbermatics. 2024. "Number 13123706400 - Facts about the integer". https://numbermatics.com/n/13123706400/
The information we have on file for 13123706400 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 13123706400, math, Factors of 13123706400, curriculum, school, college, exams, university, Prime factorization of 13123706400, STEM, science, technology, engineering, physics, economics, calculator, thirteen billion, one hundred twenty-three million, seven hundred six thousand, four hundred.