12897465398400
12,897,465,398,400 is an even composite number composed of seven prime numbers multiplied together.
12897465398400 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 12897465398400:
27 × 3 × 52 × 11 × 17 × 137 × 2292
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 11 × 17 × 137 × 229 × 229)See below for interesting mathematical facts about the number 12897465398400 from the Numbermatics database.
Names of 12897465398400
- Cardinal: 12897465398400 can be written as Twelve trillion, eight hundred ninety-seven billion, four hundred sixty-five million, three hundred ninety-eight thousand, four hundred.
Scientific notation
- Scientific notation: 1.28974653984 × 1013
Factors of 12897465398400
Divisors of 12897465398400
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 17 20 22 24 25 30 32 33 34 40 44 48 50 51 55 60 64 66 68 75 80 85 88 96 100 102 110 120 128 132 136 137 150 160 165 170 176 187 192 200 204 220 229 240 255 264 272 274 275 300 320 330 340 352 374 384 400 408 411 425 440 458 480 510 528 544 548 550 561 600 640 660 680 685 687 704 748 800 816 822 825 850 880 916 935 960 1020 1056 1088 1096 1100 1122 1145 1200 1275 1320 1360 1370 1374 1408 1496 1507 1600 1632 1644 1650 1700 1760 1832 1870 1920 2040 2055 2112 2176 2192 2200 2244 2290 2329 2400 2519 2550 2640 2720 2740 2748 2805 2992 3014 3200 3264 3288 3300 3400 3425 3435 3520 3664 3740 3893 4080 4110 4224 4384 4400 4488 4521 4580 4658 4675 4800 5038 5100 5280 5440 5480 5496 5610 5725 5984 6028 6528 6576 6600 6800 6850 6870 6987 7040 7328 7480 7535 7557 7786 8160 8220 8768 8800 8976 9042 9160 9316 9350 9600 10076 10200 10275 10560 10880 10960 10992 11220 11450 11645 11679 11968 12056 12595 13152 13200 13600 13700 13740 13974 14025 14656 14960 15070 15114 15572 16320 16440 17175 17536 17600 17952 18084 18320 18632 18700 19465 20152 20400 20550 21120 21920 21984 22440 22605 22900 23290 23358 23936 24112 25190 25619 26304 26400 27200 27400 27480 27948 28050 29312 29920 30140 30228 31144 31373 32640 32880 34350 34935 35200 35904 36168 36640 37264 37400 37675 37785 38930 40304 40800 41100 42823 43840 43968 44880 45210 45800 46580 46716 48224 50380 51238 52441 52608 52800 54400 54800 54960 55896 56100 58225 58395 59840 60280 60456 62288 62746 62975 65760 68700 69870 71808 72336 73280 74528 74800 75350 75570 76857 77860 80608 81600 82200 85646 87680 87936 89760 90420 91600 93160 93432 94119 96448 97325 100760 102476 104882 105600 109600 109920 111792 112200 113025 116450 116790 119680 120560 120912 124576 125492 125950 128095 128469 131520 137400 139740 144672 146560 149056 149600 150700 151140 153714 155720 156865 157323 161216 163200 164400 171292 174675 179520 180840 183200 186320 186864 188238 188925 192896 194650 201520 204952 209764 214115 219200 219840 223584 224400 226050 232900 233580 241120 241824 249152 250984 251900 256190 256938 262205 263040 274800 279480 289344 291975 298112 299200 301400 302280 307428 311440 313730 314646 322432 328800 342584 345103 349350 359040 361680 366400 372640 373728 376476 377850 384285 389300 403040 409904 419528 428230 438400 439680 447168 448800 452100 465800 467160 470595 482240 483648 498304 501968 503800 512380 513876 524410 533341 549600 558960 576851 578688 583950 598400 602800 604560 614856 622880 627460 629292 640475 642345 657600 685168 690206 698700 723360 732800 745280 747456 752952 755700 768570 778600 784325 786615 806080 819808 839056 856460 891497 894336 897600 904200 931600 934320 941190 964480 967296 1003936 1007600 1024760 1027752 1035309 1048820 1066682 1070575 1099200 1117920 1153702 1167900 1205600 1209120 1229712 1245760 1254920 1258584 1280950 1284690 1311025 1315200 1370336 1380412 1397400 1446720 1490560 1494912 1505904 1511400 1537140 1557200 1568650 1573230 1600023 1612160 1639616 1678112 1712920 1725515 1730553 1782994 1795200 1808400 1863200 1868640 1882380 1921425 2007872 2015200 2049520 2055504 2070618 2097640 2133364 2141150 2198400 2235840 2307404 2335800 2352975 2411200 2418240 2459424 2491520 2509840 2517168 2561900 2569380 2622050 2666705 2674491 2740672 2760824 2794800 2884255 2893440 3011808 3022800 3074280 3114400 3137300 3146460 3200046 3211725 3279232 3356224 3425840 3451030 3461106 3565988 3616800 3726400 3737280 3764760 3842850 3933075 4015744 4030400 4099040 4111008 4141236 4195280 4266728 4282300 4457485 4471680 4614808 4671600 4705950 4822400 4836480 4918848 5019680 5034336 5123800 5138760 5176545 5244100 5333410 5348982 5481344 5521648 5589600 5768510 5866751 6023616 6045600 6148560 6228800 6274600 6292920 6400092 6423450 6712448 6851680 6902060 6922212 7131976 7184417 7233600 7452800 7474560 7529520 7685700 7866150 8000115 8060800 8198080 8222016 8282472 8390560 8533456 8564600 8627575 8652765 8914970 9229616 9343200 9411900 9806467 9837696 10039360 10068672 10247600 10277520 10353090 10488200 10666820 10697964 11043296 11179200 11537020 11733502 12047232 12091200 12297120 12457600 12549200 12585840 12800184 12846900 13333525 13372455 13703360 13804120 13844424 14263952 14368834 14421275 14467200 15059040 15371400 15732300 16000230 16396160 16444032 16564944 16781120 17066912 17129200 17255150 17305530 17600253 17829940 18459232 18686400 18823800 19612934 20078720 20137344 20495200 20555040 20706180 20976400 21333640 21395928 21553251 22086592 22287425 22358400 23074040 23467004 24182400 24594240 25098400 25171680 25600368 25693800 25882725 26667050 26744910 27406720 27608240 27688848 28527904 28737668 28842550 29333755 29419401 30118080 30742800 31464600 32000460 33129888 33562240 34133824 34258400 34510300 34611060 35200506 35659880 35922085 36918464 37372800 37647600 39225868 40000575 40990400 41110080 41412360 41952800 42667280 42791856 43106502 43263825 44173184 44574850 46148080 46934008 49032335 49188480 50196800 50343360 51200736 51387600 51765450 53334100 53489820 55216480 55377696 57055808 57475336 57685100 58667510 58838802 60236160 61485600 62929200 64000920 66259776 66862275 68267648 68516800 69020600 69222120 70401012 71319760 71844170 73836928 75295200 78451736 79028587 80001150 81980800 82220160 82824720 83905600 85334560 85583712 86213004 86527650 88001265 89149700 92296160 93868016 98064670 100393600 100686720 102401472 102775200 103530900 106668200 106979640 107766255 110432960 110755392 114111616 114950672 115370200 117335020 117677604 122135089 122971200 125858400 128001840 132519552 133724550 137033600 138041200 138444240 140802024 142639520 143688340 146668775 147097005 150590400 156903472 158057174 160002300 165649440 167811200 170669120 171167424 172426008 173055300 176002530 178299400 179610425 184592320 187736032 196129340 204802944 205550400 207061800 213336400 213959280 215532510 220865920 221510784 229901344 230740400 234670040 235355208 237085761 244270178 245161675 245942400 251716800 256003680 267449100 276082400 276888480 281604048 285279040 287376680 293337550 294194010 301180800 313806944 316114348 320004600 331298880 341338240 342334848 344852016 346110600 352005060 356598800 359220850 366405267 369184640 375472064 392258680 395142935 411100800 414123600 426672800 427918560 431065020 440006325 459802688 461480800 469340080 470710416 474171522 488540356 490323350 503433600 512007360 534898200 538831275 552164800 553776960 563208096 570558080 574753360 586675100 588388020 610675445 627613888 632228696 640009200 662597760 689704032 692221200 704010120 713197600 718441700 732810534 735485025 750944128 784517360 790285870 828247200 853345600 855837120 862130040 880012650 919605376 922961600 938680160 941420832 948343044 977080712 980646700 1024014720 1069796400 1077662550 1104329600 1107553920 1126416192 1149506720 1173350200 1176776040 1185428805 1221350890 1255227776 1264457392 1280018400 1343485979 1379408064 1384442400 1408020240 1426395200 1436883400 1465621068 1470970050 1569034720 1580571740 1656494400 1706691200 1711674240 1724260080 1760025300 1832026335 1845923200 1877360320 1882841664 1896686088 1954161424 1961293400 1975714675 2139592800 2155325100 2252832384 2299013440 2346700400 2353552080 2370857610 2442701780 2528914784 2560036800 2686971958 2758816128 2768884800 2816040480 2852790400 2873766800 2931242136 2941940100 3053377225 3138069440 3161143480 3312988800 3448520160 3520050600 3664052670 3754720640 3765683328 3793372176 3908322848 3922586800 3951429350 4030457937 4279185600 4310650200 4598026880 4693400800 4707104160 4741715220 4885403560 5057829568 5120073600 5373943916 5537769600 5632080960 5747533600 5862484272 5883880200 5927144025 6106754450 6276138880 6322286960 6717429895 6897040320 7040101200 7328105340 7586744352 7816645696 7845173600 7902858700 8060915874 8558371200 8621300400 9160131675 9386801600 9414208320 9483430440 9770807120 10115659136 10747887832 11264161920 11495067200 11724968544 11767760400 11854288050 12213508900 12644573920 13434859790 13794080640 14080202400 14656210680 15173488704 15633291392 15690347200 15805717400 16121831748 17242600800 18320263350 18773603200 18828416640 18966860880 19541614240 20152289685 21495775664 22990134400 23449937088 23535520800 23708576100 24427017800 25289147840 26869719580 28160404800 29312421360 30346977408 31380694400 31611434800 32243663496 33587149475 34485201600 36640526700 37933721760 39083228480 40304579370 42991551328 46899874176 47071041600 47417152200 48854035600 50578295680 53739439160 56320809600 58624842720 63222869600 64487326992 67174298950 68970403200 73281053400 75867443520 78166456960 80609158740 85983102656 94142083200 94834304400 97708071200 100761448425 107478878320 117249685440 126445739200 128974653984 134348597900 146562106800 151734887040 161218317480 171966205312 189668608800 195416142400 201522896850 214957756640 234499370880 252891478400 257949307968 268697195800 293124213600 322436634960 379337217600 390832284800 403045793700 429915513280 515898615936 537394391600 586248427200 644873269920 758674435200 806091587400 859831026560 1074788783200 1172496854400 1289746539840 1612183174800 2149577566400 2579493079680 3224366349600 4299155132800 6448732699200 12897465398400
- Sum of all divisors σ(n): 49643942852160
- Sum of proper divisors (its aliquot sum) s(n): 36746477453760
- 12897465398400 is an abundant number, because the sum of its proper divisors (36746477453760) is greater than itself. Its abundance is 23849012055360
Bases of 12897465398400
- Binary: 101110111010111011001101011111110100100000002
- Hexadecimal: 0xBBAECD7F480
- Base-36: 4KL0HW8LC
Squares and roots of 12897465398400
- 12897465398400 squared (128974653984002) is 166344613702925270722560000
- 12897465398400 cubed (128974653984003) is 2145423899443693176005170166267904000000
-
The
square root of 12897465398400 is 3591304.1361600107 -
The
cube root of 12897465398400 is 23451.3648736785
Scales and comparisons
How big is 12897465398400?- 12,897,465,398,400 seconds is equal to 410,099 years, 26 weeks, 1 day, 21 hours, 20 minutes.
-
To count from 1 to 12,897,465,398,400 would take you about one million, twenty-five thousand, two hundred forty-eight 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 12897465398400 cubic inches would be around 1954.3 feet tall.
Recreational maths with 12897465398400
- 12897465398400 backwards is 00489356479821
- 12897465398400 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 12897465398400's digits is 66
- More coming soon!
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The information we have on file for 12897465398400 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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