12938289436800
12,938,289,436,800 is an even composite number composed of seven prime numbers multiplied together.
What does the number 12938289436800 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1728 divisors.
12938289436800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 12938289436800:
27 × 32 × 52 × 72 × 13 × 73 × 9661
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 7 × 13 × 73 × 9661)See below for interesting mathematical facts about the number 12938289436800 from the Numbermatics database.
Names of 12938289436800
- Cardinal: 12938289436800 can be written as Twelve trillion, nine hundred thirty-eight billion, two hundred eighty-nine million, four hundred thirty-six thousand, eight hundred.
Scientific notation
- Scientific notation: 1.29382894368 × 1013
Factors of 12938289436800
Divisors of 12938289436800
- Number of divisors d(n): 1728
-
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 28 30 32 35 36 39 40 42 45 48 49 50 52 56 60 63 64 65 70 72 73 75 78 80 84 90 91 96 98 100 104 105 112 117 120 126 128 130 140 144 146 147 150 156 160 168 175 180 182 192 195 196 200 208 210 219 224 225 234 240 245 252 260 273 280 288 292 294 300 312 315 320 325 336 350 360 364 365 384 390 392 400 416 420 438 441 448 450 455 468 480 490 504 511 520 525 546 560 576 584 585 588 600 624 630 637 640 650 657 672 700 720 728 730 735 780 784 800 819 832 840 876 882 896 900 910 936 949 960 975 980 1008 1022 1040 1050 1092 1095 1120 1152 1168 1170 1176 1200 1225 1248 1260 1274 1300 1314 1344 1365 1400 1440 1456 1460 1470 1533 1560 1568 1575 1600 1638 1664 1680 1752 1764 1800 1820 1825 1872 1898 1911 1920 1950 1960 2016 2044 2080 2100 2184 2190 2205 2240 2275 2336 2340 2352 2400 2450 2496 2520 2548 2555 2600 2628 2688 2730 2800 2847 2880 2912 2920 2925 2940 3066 3120 3136 3150 3185 3200 3276 3285 3360 3504 3528 3577 3600 3640 3650 3675 3744 3796 3822 3900 3920 4032 4088 4095 4160 4200 4368 4380 4410 4480 4550 4599 4672 4680 4704 4745 4800 4900 4992 5040 5096 5110 5200 5256 5460 5475 5600 5694 5733 5760 5824 5840 5850 5880 6132 6240 6272 6300 6370 6552 6570 6643 6720 6825 7008 7056 7154 7200 7280 7300 7350 7488 7592 7644 7665 7800 7840 8064 8176 8190 8320 8400 8541 8736 8760 8820 9100 9198 9344 9360 9408 9490 9555 9600 9661 9800 10080 10192 10220 10400 10512 10731 10920 10950 11025 11200 11388 11466 11648 11680 11700 11760 12264 12480 12600 12740 12775 13104 13140 13286 13440 13650 14016 14112 14235 14308 14400 14560 14600 14700 14976 15184 15288 15330 15600 15680 15925 16352 16380 16425 16800 17082 17472 17520 17640 17885 18200 18396 18720 18816 18980 19110 19322 19600 19929 20160 20384 20440 20475 20800 21024 21462 21840 21900 22050 22400 22776 22932 22995 23360 23400 23520 23725 24528 24960 25200 25480 25550 26208 26280 26572 27300 28032 28224 28470 28616 28665 28800 28983 29120 29200 29400 30368 30576 30660 31200 31360 31850 32193 32704 32760 32850 33215 33600 34164 34944 35040 35280 35770 36400 36792 37440 37960 38220 38325 38644 39200 39858 40320 40768 40880 40950 41600 42048 42705 42924 43680 43800 44100 45552 45864 45990 46501 46720 46800 47040 47450 47775 48305 49056 50400 50960 51100 52416 52560 53144 53655 54600 56448 56940 57232 57330 57966 58240 58400 58800 59787 60736 61152 61320 62400 63700 64386 65408 65520 65700 66430 67200 67627 68328 70080 70560 71175 71540 72800 73584 74880 75920 76440 76650 77288 78400 79716 81536 81760 81900 84096 85410 85848 86949 87360 87600 88200 89425 91104 91728 91980 93002 93600 94080 94900 95550 96610 98112 99645 100800 101920 102200 104832 105120 106288 107310 109200 113880 114464 114660 114975 115932 116800 117600 119574 121472 122304 122640 124800 125593 127400 128772 131040 131400 132860 135254 136656 139503 140160 141120 142350 143080 143325 144915 145600 147168 151840 152880 153300 154576 156800 159432 160965 163520 163800 166075 170820 171696 173898 174720 175200 176400 178850 182208 183456 183960 186004 187200 189800 191100 193220 196224 199290 201600 202881 203840 204400 210240 212576 213525 214620 218400 227760 228928 229320 229950 231864 232505 233600 235200 239148 241525 244608 245280 251186 254800 257544 262080 262800 265720 268275 270508 273312 279006 282240 284700 286160 286650 289830 291200 294336 298935 303680 305760 306600 309152 318864 321930 327040 327600 332150 338135 341640 343392 347796 350400 352800 357700 364416 366912 367920 372008 374400 376779 379600 382200 386440 398580 405762 407680 408800 418509 420480 425152 427050 429240 434745 436800 455520 457856 458640 459900 463728 465010 470400 473389 478296 483050 490560 498225 502372 509600 515088 524160 525600 531440 536550 541016 546624 558012 569400 572320 573300 579660 588672 597870 607360 608643 611520 613200 618304 627965 637728 643860 655200 664300 676270 683280 686784 695592 697515 700800 705253 705600 715400 724575 733824 735840 744016 753558 759200 764400 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123081140 123419275 126597744 126945540 128356046 129843840 131872650 133922880 135408576 136336032 137524335 138229588 139118400 140664160 141050600 142016700 144683136 146692624 147697368 148103130 148803200 150711600 151484480 153851425 157976672 158247180 158681925 162304800 165029202 167403600 168796992 169260720 170420040 172786985 175830200 177723756 180853920 181781376 183365780 184621710 189355600 191318400 192534069 194765760 196929824 197470840 197808975 200948800 203112864 207344382 210996240 211575900 213025050 216406400 220038936 221546052 222154695 223204800 225680960 226067400 227226720 229207225 236965008 241138560 243457200 246162280 246838550 253195488 253891080 256712092 263745300 267845760 270817152 272672064 275048670 276459176 276932565 278236800 281328320 282101200 284033400 293385248 295394736 296206260 301423200 302968960 307702850 311016573 315953344 316494360 317363850 320890115 324609600 330058404 334807200 337593984 338521440 340840080 345573970 351660400 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1105836704 1107730260 1110773475 1128404800 1136133600 1155204414 1173540992 1181578944 1184825040 1205692800 1230811400 1244066292 1265977440 1269455400 1283560460 1320233616 1339228800 1347738483 1354085760 1363360320 1375243350 1382295880 1384662825 1406641600 1421790048 1466926240 1476973680 1481031300 1514844800 1540272552 1555082865 1579766720 1582471800 1604450575 1650292020 1658755056 1687969920 1692607200 1704200400 1727869850 1760311488 1772368416 1777237560 1796984644 1808539200 1833657800 1846217100 1895720064 1925340690 1947657600 1969298240 1974708400 2031128640 2053696736 2062865025 2073443820 2109962400 2200389360 2211673408 2215460520 2221546950 2246230805 2256809600 2272267200 2310408828 2363157888 2369650080 2461622800 2488132584 2531954880 2538910800 2567120920 2591804775 2640467232 2695476966 2726720640 2750486700 2764591760 2769325650 2813283200 2843580096 2888011035 2933852480 2953947360 2962062600 3080545104 3110165730 3159533440 3164943600 3208901150 3300584040 3317510112 3385214400 3408400800 3455739700 3520622976 3544736832 3554475120 3593969288 3617078400 3667315600 3692434200 3850681380 3938596480 3949416800 4043215449 4062257280 4107393472 4125730050 4146887640 4219924800 4400778720 4423346816 4430921040 4443093900 4492461610 4544534400 4620817656 4739300160 4813351725 4923245600 4976265168 5063909760 5077821600 5134241840 5183609550 5280934464 5390953932 5500973400 5529183520 5538651300 5687160192 5776022070 5867704960 5907894720 5924125200 6161090208 6220331460 6329887200 6417802300 6601168080 6635020224 6738692415 6770428800 6816801600 6911479400 7089473664 7108950240 7187938576 7334631200 7384868400 7701362760 7775414325 7898833600 8086430898 8214786944 8251460100 8293775280 8439849600 8801557440 8861842080 8886187800 8984923220 9241635312 9478600320 9626703450 9846491200 9952530336 10155643200 10268483680 10367219100 10561868928 10781907864 11001946800 11058367040 11077302600 11231154025 11552044140 11815789440 11848250400 12322180416 12440662920 12659774400 12835604600 13202336160 13270040448 13477384830 13633603200 13822958800 14217900480 14375877152 14440055175 14669262400 14769736800 15402725520 15550828650 15797667200 16172861796 16502920200 16587550560 17603114880 17723684160 17772375600 17969846440 18483270624 19253406900 19692982400 19905060672 20216077245 20311286400 20536967360 20734438200 21563815728 22003893600 22116734080 22154605200 22462308050 23104088280 23696500800 24644360832 24881325840 25319548800 25671209200 26404672320 26954769660 27645917600 28435800960 28751754304 28880110350 29338524800 29539473600 30805451040 31101657300 32345723592 33005840400 33175101120 33693462075 35447368320 35544751200 35939692880 36966541248 38506813800 39810121344 40432154490 41073934720 41468876400 43127631456 44007787200 44309210400 44924616100 46208176560 47393001600 49762651680 51342418400 52809344640 53909539320 55291835200 57503508608 57760220700 59078947200 61610902080 62203314600 64691447184 66011680800 66350202240 67386924150 71089502400 71879385760 73933082496 77013627600 80864308980 82937752800 86255262912 88015574400 88618420800 89849232200 92416353120 99525303360 101080386225 102684836800 107819078640 110583670400 115520441400 123221804160 124406629200 129382894368 132023361600 134773848300 142179004800 143758771520 154027255200 161728617960 165875505600 172510525824 177236841600 179698464400 184832706240 199050606720 202160772450 205369673600 215638157280 231040882800 248813258400 258765788736 264046723200 269547696600 287517543040 308054510400 323457235920 331751011200 359396928800 369665412480 404321544900 431276314560 462081765600 497626516800 517531577472 539095393200 616109020800 646914471840 718793857600 808643089800 862552629120 924163531200 995253033600 1078190786400 1293828943680 1437587715200 1617286179600 1848327062400 2156381572800 2587657887360 3234572359200 4312763145600 6469144718400 12938289436800
- Sum of all divisors σ(n): 58633641972360
- Sum of proper divisors (its aliquot sum) s(n): 45695352535560
- 12938289436800 is an abundant number, because the sum of its proper divisors (45695352535560) is greater than itself. Its abundance is 32757063098760
Bases of 12938289436800
- Binary: 101111000100011011100010010101011000100000002
- Hexadecimal: 0xBC46E255880
- Base-36: 4L3RNH280
Squares and roots of 12938289436800
- 12938289436800 squared (129382894368002) is 167399333550410461194240000
- 12938289436800 cubed (129382894368003) is 2165861029002635510373651705004032000000
-
The
square root of 12938289436800 is 3596983.3801117291 -
The
cube root of 12938289436800 is 23476.0821608807
Scales and comparisons
How big is 12938289436800?- 12,938,289,436,800 seconds is equal to 411,397 years, 30 weeks, 2 days, 8 hours.
-
To count from 1 to 12,938,289,436,800 would take you about one million, twenty-eight thousand, four hundred ninety-three 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 12938289436800 cubic inches would be around 1956.3 feet tall.
Recreational maths with 12938289436800
- 12938289436800 backwards is 00863498283921
- 12938289436800 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 12938289436800's digits is 63
- More coming soon!
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"Number 12938289436800 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
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Numbermatics. (2024). Number 12938289436800 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/12938289436800/
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The information we have on file for 12938289436800 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!
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