13146482765046400
13,146,482,765,046,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 13146482765046400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1728 divisors.
13146482765046400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 13146482765046400:
27 × 52 × 72 × 11 × 612 × 1273
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 11 × 61 × 61 × 127 × 127 × 127)See below for interesting mathematical facts about the number 13146482765046400 from the Numbermatics database.
Names of 13146482765046400
- Cardinal: 13146482765046400 can be written as Thirteen quadrillion, one hundred forty-six trillion, four hundred eighty-two billion, seven hundred sixty-five million, forty-six thousand, four hundred.
Scientific notation
- Scientific notation: 1.31464827650464 × 1016
Factors of 13146482765046400
Divisors of 13146482765046400
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 25 28 32 35 40 44 49 50 55 56 61 64 70 77 80 88 98 100 110 112 122 127 128 140 154 160 175 176 196 200 220 224 244 245 254 275 280 305 308 320 350 352 385 392 400 427 440 448 488 490 508 539 550 560 610 616 635 640 671 700 704 770 784 800 854 880 889 896 976 980 1016 1078 1100 1120 1220 1225 1232 1270 1342 1397 1400 1408 1525 1540 1568 1600 1708 1760 1778 1925 1952 1960 2032 2135 2156 2200 2240 2440 2450 2464 2540 2684 2695 2794 2800 2989 3050 3080 3136 3175 3200 3355 3416 3520 3556 3721 3850 3904 3920 4064 4270 4312 4400 4445 4480 4697 4880 4900 4928 5080 5368 5390 5588 5600 5978 6100 6160 6223 6272 6350 6710 6832 6985 7040 7112 7442 7700 7747 7808 7840 8128 8540 8624 8800 8890 9394 9760 9779 9800 9856 10160 10675 10736 10780 11176 11200 11956 12200 12320 12446 12700 13420 13475 13664 13970 14224 14884 14945 15400 15494 15680 16129 16256 16775 17080 17248 17600 17780 18605 18788 19520 19558 19600 20320 21350 21472 21560 22225 22352 22400 23485 23912 24400 24640 24892 25400 26047 26840 26950 27328 27940 28448 29768 29890 30800 30988 31115 31360 32258 32879 33550 34160 34496 34925 35200 35560 37210 37576 38735 39040 39116 39200 40640 40931 42700 42944 43120 44450 44704 46970 47824 48800 48895 49280 49784 50800 52094 53680 53900 54229 54656 55880 56896 59536 59780 61600 61976 62230 64516 65758 67100 68320 68453 68992 69850 71120 74420 74725 75152 77470 78232 78400 80645 81280 81862 85217 85400 85888 86240 88900 89408 93025 93940 95648 97600 97790 99568 101600 104188 107360 107800 108458 111760 112903 113792 117425 119072 119560 123200 123952 124460 129032 130235 131516 134200 136640 136906 139700 142240 148840 149450 150304 154940 155575 156464 156800 161290 163724 164395 170434 170800 172480 177419 177800 178816 182329 186050 187880 191296 193675 195200 195580 199136 203200 204655 208376 214720 215600 216916 223520 225806 234850 238144 239120 244475 246400 247904 248920 258064 260470 263032 268400 271145 273280 273812 279400 284480 286517 297680 298900 300608 309880 311150 312928 322580 327448 328790 340868 341600 342265 344960 354838 355600 364658 372100 375760 379603 382592 387350 391160 398272 403225 406400 409310 416752 426085 429440 431200 433832 447040 451612 469700 472567 476288 478240 488950 495808 497840 516128 520940 526064 536800 542290 547624 558800 564515 568960 573034 595360 596519 597800 601216 619760 622300 625856 645160 651175 654896 657580 681736 683200 684530 709676 711200 729316 744200 751520 759206 774700 782320 790321 796544 806450 818620 821975 833504 852170 862400 867664 887095 894080 903224 911645 939400 945134 956480 977900 983869 991616 995680 1023275 1032256 1041880 1052128 1073600 1084580 1095248 1117600 1129030 1146068 1190720 1193038 1195600 1239520 1241933 1244600 1251712 1290320 1302350 1309792 1315160 1355725 1363472 1366400 1369060 1419352 1422400 1432585 1458632 1488400 1503040 1518412 1549400 1564640 1580642 1612900 1637240 1643950 1667008 1704340 1711325 1724800 1735328 1774190 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84848862560 87465954100 87965759552 88326274960 92424653860 94105102112 96025614400 96212549510 97961868592 99961090400 100944314240 101885445200 105628175840 106061078200 106708464002 109957199440 110407843700 111956421248 115530817325 116440508800 117631377640 121212660800 121952530288 122452335740 126180392800 129394515404 132035219800 134435860160 134697569314 137446499300 139945526560 141322039936 147039222050 147879446176 152440662860 153065419675 153940079216 154270659200 160593227200 161743144255 163016712320 167684729146 168044825200 169697725120 174931908200 175931519104 176652549920 184849307720 188210204224 190550828575 192051228800 192425099020 195923737184 199922180800 203770890400 211256351680 212122156400 213416928004 219914398880 220815687400 231061634650 235262755280 240531373775 242425321600 243905060576 244904671480 252360785600 258789030808 264070439600 266771160005 268871720320 269395138628 274892998600 279891053120 294078444100 295758892352 304881325720 306130839350 307880158432 321186454400 323486288510 335369458292 336089650400 336743923285 339395450240 349863816400 353305099840 369698615440 373479624007 376420408448 381101657150 384850198040 391847474368 399844361600 407541780800 419211822865 422512703360 424244312800 426833856008 439828797760 441631374800 462123269300 470525510560 481062747550 487810121152 489809342960 504721571200 517578061616 528140879200 533542320010 538790277256 549785997200 559782106240 586896552011 588156888200 591517784704 609762651440 612261678700 615760316864 646972577020 670738916584 672179300800 673487846570 699727632800 706610199680 739397230880 746959248014 762203314300 769700396080 783694948736 808715721275 815083561600 838423645730 848488625600 853667712016 879657595520 883262749600 924246538600 941051021120 962125495100 975620242304 979618685920 1035156123232 1056281758400 1067084640020 1077580554512 1099571994400 1173793104022 1176313776400 1219525302880 1224523357400 1231520633728 1293945154040 1333855800025 1341477833168 1344358601600 1346975693140 1399455265600 1478794461760 1493918496028 1524406628600 1539400792160 1617431442550 1676847291460 1683719616425 1696977251200 1707335424032 1766525499200 1848493077200 1867398120035 1882102042240 1924250990200 1959237371840 2070312246464 2096059114325 2112563516800 2134169280040 2155161109024 2199143988800 2347586208044 2352627552800 2439050605760 2449046714800 2587890308080 2667711600050 2682955666336 2693951386280 2798910531200 2934482760055 2957588923520 2987836992056 3048813257200 3078801584320 3234862885100 3353694582920 3367439232850 3414670848064 3533050998400 3696986154400 3734796240070 3848501980400 3918474743680 4108275864077 4140624492928 4192118228650 4268338560080 4310322218048 4398287977600 4695172416088 4705255105600 4878101211520 4898093429600 5175780616160 5335423200100 5365911332672 5387902772560 5868965520110 5975673984112 6097626514400 6157603168640 6469725770200 6707389165840 6734878465700 6829341696128 7393972308800 7469592480140 7697003960800 8216551728154 8384236457300 8536677120160 8620644436096 9336990600175 9390344832176 9410510211200 9796186859200 10351561232320 10670846400200 10731822665344 10775805545120 11737931040220 11951347968224 12195253028800 12939451540400 13414778331680 13469756931400 14672413800275 14787944617600 14939184960280 15394007921600 16433103456308 16768472914600 17073354240320 18673981200350 18780689664352 19592373718400 20541379320385 20703122464640 21341692800400 21551611090240 23475862080440 23902695936448 24390506057600 25878903080800 26829556663360 26939513862800 29344827600550 29878369920560 30788015843200 32866206912616 33536945829200 34146708480640 37347962400700 37561379328704 41082758640770 42683385600800 43103222180480 46951724160880 47805391872896 51757806161600 53659113326720 53879027725600 58689655201100 59756739841120 65732413825232 67073891658400 74695924801400 75122758657408 82165517281540 85366771201600 93903448321760 102706896601925 103515612323200 107758055451200 117379310402200 119513479682240 131464827650464 134147783316800 149391849602800 164331034563080 170733542403200 187806896643520 205413793203850 215516110902400 234758620804400 239026959364480 262929655300928 268295566633600 298783699205600 328662069126160 375613793287040 410827586407700 469517241608800 525859310601856 597567398411200 657324138252320 821655172815400 939034483217600 1195134796822400 1314648276504640 1643310345630800 1878068966435200 2629296553009280 3286620691261600 6573241382523200 13146482765046400
- Sum of all divisors σ(n): 42231708790502400
- Sum of proper divisors (its aliquot sum) s(n): 29085226025456000
- 13146482765046400 is an abundant number, because the sum of its proper divisors (29085226025456000) is greater than itself. Its abundance is 15938743260409600
Bases of 13146482765046400
- Binary: 1011101011010010101000000010110100000110100010100000002
- Hexadecimal: 0x2EB4A80B41A280
- Base-36: 3LG1ET26KCG
Squares and roots of 13146482765046400
- 13146482765046400 squared (131464827650464002) is 172830009091662038825594152960000
- 13146482765046400 cubed (131464827650464003) is 2272106735806347611047287491374921303097344000000
-
The
square root of 13146482765046400 is 114658112.5130114811 -
The
cube root of 13146482765046400 is 236013.3261473777
Scales and comparisons
How big is 13146482765046400?- 13,146,482,765,046,400 seconds is equal to 418,017,487 years, 9 weeks, 5 days, 4 hours, 26 minutes, 40 seconds.
-
To count from 1 to 13,146,482,765,046,400 would take you about one billion, two hundred fifty-four million, fifty-two thousand, four hundred sixty-one 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 13146482765046400 cubic inches would be around 19667.8 feet tall.
Recreational maths with 13146482765046400
- 13146482765046400 backwards is 00464056728464131
- 13146482765046400 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13146482765046400's digits is 61
- More coming soon!
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"Number 13146482765046400 - Facts about the integer". Numbermatics.com. 2024. Web. 14 June 2024.
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Numbermatics. (2024). Number 13146482765046400 - Facts about the integer. Retrieved 14 June 2024, from https://numbermatics.com/n/13146482765046400/
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The information we have on file for 13146482765046400 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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