12815712000
12,815,712,000 is an even composite number composed of six prime numbers multiplied together.
12815712000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 12815712000:
28 × 33 × 53 × 7 × 13 × 163
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 13 × 163)See below for interesting mathematical facts about the number 12815712000 from the Numbermatics database.
Names of 12815712000
- Cardinal: 12815712000 can be written as Twelve billion, eight hundred fifteen million, seven hundred twelve thousand.
Scientific notation
- Scientific notation: 1.2815712 × 1010
Factors of 12815712000
Divisors of 12815712000
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 25 26 27 28 30 32 35 36 39 40 42 45 48 50 52 54 56 60 63 64 65 70 72 75 78 80 84 90 91 96 100 104 105 108 112 117 120 125 126 128 130 135 140 144 150 156 160 163 168 175 180 182 189 192 195 200 208 210 216 224 225 234 240 250 252 256 260 270 273 280 288 300 312 315 320 325 326 336 350 351 360 364 375 378 384 390 400 416 420 432 448 450 455 468 480 489 500 504 520 525 540 546 560 576 585 600 624 630 640 650 652 672 675 700 702 720 728 750 756 768 780 800 815 819 832 840 864 875 896 900 910 936 945 960 975 978 1000 1008 1040 1050 1080 1092 1120 1125 1141 1152 1170 1200 1248 1260 1280 1300 1304 1344 1350 1365 1400 1404 1440 1456 1467 1500 1512 1560 1575 1600 1625 1630 1638 1664 1680 1728 1750 1755 1792 1800 1820 1872 1890 1920 1950 1956 2000 2016 2080 2100 2119 2160 2184 2240 2250 2275 2282 2304 2340 2400 2445 2457 2496 2520 2600 2608 2625 2688 2700 2730 2800 2808 2880 2912 2925 2934 3000 3024 3120 3150 3200 3250 3260 3276 3328 3360 3375 3423 3456 3500 3510 3600 3640 3744 3780 3840 3900 3912 4000 4032 4075 4095 4160 4200 4238 4320 4368 4401 4480 4500 4550 4564 4680 4725 4800 4875 4890 4914 4992 5040 5200 5216 5250 5376 5400 5460 5600 5616 5705 5760 5824 5850 5868 6000 6048 6240 6300 6357 6400 6500 6520 6552 6720 6750 6825 6846 6912 7000 7020 7200 7280 7335 7488 7560 7800 7824 7875 8000 8064 8150 8190 8320 8400 8476 8640 8736 8775 8802 8960 9000 9100 9128 9360 9450 9600 9750 9780 9828 9984 10080 10269 10400 10432 10500 10595 10800 10920 11200 11232 11375 11410 11520 11648 11700 11736 12000 12096 12225 12285 12480 12600 12714 13000 13040 13104 13440 13500 13650 13692 14000 14040 14400 14560 14625 14670 14833 14976 15120 15600 15648 15750 16000 16128 16300 16380 16640 16800 16952 17115 17280 17472 17550 17604 18000 18200 18256 18720 18900 19071 19200 19500 19560 19656 20160 20375 20475 20538 20800 20864 21000 21190 21600 21840 22005 22400 22464 22750 22820 23296 23400 23472 23625 24000 24192 24450 24570 24960 25200 25428 26000 26080 26208 26880 27000 27300 27384 28000 28080 28525 28800 29120 29250 29340 29666 29952 30240 30807 31200 31296 31500 31785 32000 32600 32760 33600 33904 34125 34230 34560 34944 35100 35208 36000 36400 36512 36675 37440 37800 38142 39000 39120 39312 40320 40750 40950 41076 41600 41728 42000 42380 43200 43680 43875 44010 44499 44800 44928 45500 45640 46800 46944 47250 48000 48384 48900 49140 49920 50400 50856 51345 52000 52160 52416 52975 54000 54600 54768 56000 56160 57050 57213 57600 58240 58500 58680 59332 60480 61125 61425 61614 62400 62592 63000 63570 65200 65520 67200 67808 68250 68460 69888 70200 70416 72000 72800 73024 73350 74165 74880 75600 76284 78000 78240 78624 80640 81500 81900 82152 83200 84000 84760 85575 86400 87360 87750 88020 88998 89856 91000 91280 93600 93888 94500 95355 96000 97800 98280 100800 101712 102375 102690 104000 104320 104832 105950 108000 109200 109536 110025 112000 112320 114100 114426 116480 117000 117360 118664 120960 122250 122850 123228 124800 125184 126000 127140 130400 131040 133497 134400 135616 136500 136920 140400 140832 142625 144000 145600 146048 146700 148330 149760 151200 152568 154035 156000 156480 157248 158925 163000 163800 164304 168000 169520 171150 172800 174720 175500 176040 177996 182000 182560 183375 187200 187776 189000 190710 195600 196560 201600 203424 204750 205380 208000 208640 209664 211900 216000 218400 219072 220050 222495 224000 224640 228200 228852 234000 234720 237328 241920 244500 245700 246456 249600 252000 254280 256725 260800 262080 264875 266994 271232 273000 273840 280800 281664 285250 286065 288000 291200 292096 293400 296660 302400 305136 307125 308070 312000 312960 314496 317850 326000 327600 328608 336000 339040 342300 349440 351000 352080 355992 364000 365120 366750 370825 374400 375552 378000 381420 391200 393120 400491 403200 406848 409500 410760 416000 423800 427875 432000 436800 438144 440100 444990 449280 456400 457704 468000 469440 474656 476775 489000 491400 492912 504000 508560 513450 521600 524160 529750 533988 542464 546000 547680 550125 561600 563328 570500 572130 582400 586800 593320 604800 610272 614250 616140 624000 625920 628992 635700 652000 655200 657216 667485 672000 678080 684600 702000 704160 711984 728000 730240 733500 741650 748800 756000 762840 770175 782400 786240 794625 800982 813696 819000 821520 847600 855750 864000 873600 876288 880200 889980 912800 915408 936000 938880 949312 953550 978000 982800 985824 1008000 1017120 1026900 1043200 1048320 1059500 1067976 1092000 1095360 1100250 1112475 1123200 1126656 1141000 1144260 1173600 1186640 1209600 1220544 1228500 1232280 1248000 1271400 1283625 1304000 1310400 1314432 1334970 1356160 1369200 1404000 1408320 1423968 1430325 1456000 1460480 1467000 1483300 1512000 1525680 1540350 1564800 1572480 1589250 1601964 1627392 1638000 1643040 1695200 1711500 1747200 1760400 1779960 1825600 1830816 1854125 1872000 1877760 1898624 1907100 1956000 1965600 1971648 2002455 2016000 2034240 2053800 2119000 2135952 2184000 2190720 2200500 2224950 2246400 2282000 2288520 2347200 2373280 2383875 2441088 2457000 2464560 2542800 2567250 2608000 2620800 2628864 2669940 2712320 2738400 2808000 2816640 2847936 2860650 2912000 2934000 2966600 3024000 3051360 3080700 3129600 3144960 3178500 3203928 3276000 3286080 3337425 3390400 3423000 3520800 3559920 3651200 3661632 3708250 3744000 3797248 3814200 3850875 3912000 3931200 3943296 4004910 4068480 4107600 4238000 4271904 4368000 4381440 4401000 4449900 4564000 4577040 4694400 4746560 4767750 4882176 4914000 4929120 5085600 5134500 5216000 5241600 5339880 5476800 5562375 5616000 5633280 5695872 5721300 5868000 5933200 6048000 6102720 6161400 6357000 6407856 6552000 6572160 6674850 6780800 6846000 7041600 7119840 7151625 7302400 7323264 7416500 7628400 7701750 7824000 7862400 7886592 8009820 8136960 8215200 8476000 8543808 8736000 8802000 8899800 9128000 9154080 9388800 9493120 9535500 9828000 9858240 10012275 10171200 10269000 10679760 10953600 11124750 11232000 11391744 11442600 11736000 11866400 12205440 12322800 12714000 12815712 13104000 13144320 13349700 13561600 13692000 14083200 14239680 14303250 14646528 14833000 15256800 15403500 15648000 15724800 16019640 16430400 16687125 16952000 17087616 17604000 17799600 18256000 18308160 18986240 19071000 19656000 19716480 20024550 20342400 20538000 21359520 21907200 22249500 22885200 23472000 23732800 24410880 24645600 25428000 25631424 26208000 26699400 27384000 28166400 28479360 28606500 29666000 30513600 30807000 32039280 32860800 33374250 33904000 34175232 35208000 35599200 36512000 36616320 38142000 39312000 39432960 40049100 40684800 41076000 42719040 44499000 45770400 46944000 47465600 49291200 50061375 50856000 51262848 53398800 54768000 56958720 57213000 59332000 61027200 61614000 64078560 65721600 66748500 67808000 70416000 71198400 73232640 76284000 78624000 80098200 82152000 85438080 88998000 91540800 94931200 98582400 100122750 101712000 102525696 106797600 109536000 114426000 118664000 122054400 123228000 128157120 133497000 140832000 142396800 152568000 160196400 164304000 170876160 177996000 183081600 197164800 200245500 203424000 213595200 228852000 237328000 246456000 256314240 266994000 284793600 305136000 320392800 328608000 355992000 366163200 400491000 427190400 457704000 474656000 492912000 512628480 533988000 610272000 640785600 711984000 800982000 854380800 915408000 985824000 1067976000 1281571200 1423968000 1601964000 1830816000 2135952000 2563142400 3203928000 4271904000 6407856000 12815712000
- Sum of all divisors σ(n): 58568939520
- Sum of proper divisors (its aliquot sum) s(n): 45753227520
- 12815712000 is an abundant number, because the sum of its proper divisors (45753227520) is greater than itself. Its abundance is 32937515520
Bases of 12815712000
- Binary: 10111110111110000000111111000000002
- Hexadecimal: 0x2FBE03F00
- Base-36: 5VY56O0
Squares and roots of 12815712000
- 12815712000 squared (128157120002) is 164242474066944000000
- 12815712000 cubed (128157120003) is 2104884245809423024128000000000
-
The
square root of 12815712000 is 113206.5015800771 -
The
cube root of 12815712000 is 2340.1709276851
Scales and comparisons
How big is 12815712000?- 12,815,712,000 seconds is equal to 407 years, 26 weeks.
-
To count from 1 to 12,815,712,000 would take you about eight hundred fifteen 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 12815712000 cubic inches would be around 195 feet tall.
Recreational maths with 12815712000
- 12815712000 backwards is 00021751821
- 12815712000 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 12815712000'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 12815712000 - Facts about the integer". Numbermatics.com. 2024. Web. 6 May 2024.
APA style:
Numbermatics. (2024). Number 12815712000 - Facts about the integer. Retrieved 6 May 2024, from https://numbermatics.com/n/12815712000/
Chicago style:
Numbermatics. 2024. "Number 12815712000 - Facts about the integer". https://numbermatics.com/n/12815712000/
The information we have on file for 12815712000 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 12815712000, math, Factors of 12815712000, curriculum, school, college, exams, university, Prime factorization of 12815712000, STEM, science, technology, engineering, physics, economics, calculator, twelve billion, eight hundred fifteen million, seven hundred twelve thousand.