13638468864800
13,638,468,864,800 is an even composite number composed of seven prime numbers multiplied together.
13638468864800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 13638468864800:
25 × 52 × 132 × 17 × 61 × 89 × 1093
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 13 × 17 × 61 × 89 × 1093)See below for interesting mathematical facts about the number 13638468864800 from the Numbermatics database.
Names of 13638468864800
- Cardinal: 13638468864800 can be written as Thirteen trillion, six hundred thirty-eight billion, four hundred sixty-eight million, eight hundred sixty-four thousand, eight hundred.
Scientific notation
- Scientific notation: 1.36384688648 × 1013
Factors of 13638468864800
Divisors of 13638468864800
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 4 5 8 10 13 16 17 20 25 26 32 34 40 50 52 61 65 68 80 85 89 100 104 122 130 136 160 169 170 178 200 208 221 244 260 272 305 325 338 340 356 400 416 425 442 445 488 520 544 610 650 676 680 712 793 800 845 850 884 890 976 1037 1040 1093 1105 1157 1220 1300 1352 1360 1424 1513 1525 1586 1690 1700 1768 1780 1952 2074 2080 2186 2210 2225 2314 2440 2600 2704 2720 2848 2873 3026 3050 3172 3380 3400 3536 3560 3965 4148 4225 4372 4420 4450 4628 4880 5185 5200 5408 5429 5465 5525 5746 5785 6052 6100 6344 6760 6800 7072 7120 7565 7930 8296 8450 8744 8840 8900 9256 9760 10309 10370 10400 10858 10930 11050 11492 11570 12104 12200 12688 13481 13520 13600 14209 14240 14365 15041 15130 15860 16592 16900 17488 17680 17800 18512 18581 19669 19825 20618 20740 21716 21860 22100 22984 23140 24208 24400 25376 25925 26962 27040 27145 27325 28418 28730 28925 30082 30260 31720 33184 33800 34976 35360 35600 37024 37162 37825 39338 39650 41236 41480 43432 43720 44200 45968 46280 48416 48800 51545 51850 53924 54290 54650 56836 57460 57850 60164 60520 63440 66673 67405 67600 70577 71045 71200 71825 74324 75205 75650 78676 79300 82472 82960 86864 87440 88400 91936 92293 92560 92905 97277 98345 103090 103700 107848 108580 109300 113672 114920 115700 120328 121040 126880 133346 134810 135200 135725 141154 142090 143650 148648 150410 151300 157352 158600 164944 165920 173728 174880 175253 176800 184586 184717 185120 185810 194554 196690 206180 207400 215696 217160 218600 227344 229840 231400 240656 241553 242080 255697 257725 266692 269620 271450 282308 284180 287300 297296 300820 302600 314704 317200 329888 333365 337025 350506 352885 355225 369172 369434 371620 376025 389108 393380 412360 414800 431392 434320 437200 454688 459680 461465 462800 464525 481312 483106 486385 491725 511394 515450 533384 539240 542900 564616 568360 574600 594592 601640 605200 629408 634400 666730 674050 701012 705770 710450 738344 738868 743240 752050 778216 786760 824720 829600 866749 868640 874400 876265 917501 922930 923585 925600 929050 966212 972770 983450 1022788 1030900 1066768 1078480 1085800 1129232 1133441 1136720 1149200 1199809 1203280 1207765 1210400 1264601 1278485 1333460 1348100 1402024 1411540 1420900 1476688 1477736 1486480 1504100 1556432 1573520 1649440 1653709 1666825 1733498 1752530 1764425 1835002 1845860 1847170 1858100 1932424 1945540 1966900 2045576 2061800 2133536 2156960 2171600 2258464 2266882 2273440 2298400 2307325 2399618 2406560 2415530 2431925 2529202 2556970 2666920 2696200 2804048 2823080 2841800 2953376 2955472 2972960 3008200 3112864 3140189 3147040 3307418 3333650 3466996 3505060 3528850 3670004 3691720 3694340 3716200 3864848 3891080 3933800 4091152 4123600 4333745 4343200 4381325 4533764 4587505 4614650 4617925 4799236 4831060 4863850 5058404 5113940 5333840 5392400 5608096 5646160 5667205 5683600 5910944 5933897 5999045 6016400 6038825 6280378 6323005 6392425 6614836 6667300 6933992 7010120 7057700 7340008 7383440 7388680 7432400 7729696 7782160 7867600 8182304 8247200 8268545 8667490 8762650 9067528 9175010 9229300 9235850 9598472 9662120 9727700 10116808 10227880 10667680 10784800 11267737 11292320 11334410 11367200 11867794 11998090 12032800 12077650 12560756 12646010 12784850 13229672 13334600 13867984 14020240 14115400 14680016 14734733 14766880 14777360 14864800 15564320 15597517 15700945 15735200 16439813 16537090 17334980 17525300 18135056 18350020 18458600 18471700 19196944 19324240 19455400 20233616 20455760 21498217 21668725 22535474 22668820 22937525 23735588 23996180 24155300 25121512 25292020 25569700 26459344 26669200 27735968 28040480 28230800 28336025 29360032 29469466 29554720 29669485 29995225 31195034 31401890 31615025 32879626 33074180 34669960 35050600 36270112 36700040 36917200 36943400 38393888 38648480 38910800 40467232 40911520 41342725 42996434 43337450 45070948 45337640 45875050 47471176 47992360 48310600 50243024 50584040 51139400 52918688 53338400 56338685 56461600 56672050 58938932 59338970 59990450 62390068 62803780 63230050 65759252 66148360 69339920 70101200 73400080 73673665 73834400 73886800 77140661 77821600 77987585 78504725 82199065 82685450 85992868 86674900 90141896 90675280 91750100 94942352 95984720 96621200 100486048 100876249 101168080 102278800 107491085 112677370 113344100 117877864 118677940 119980900 124780136 125607560 126460100 131518504 132296720 138679840 140202400 146800160 147347330 147773600 148347425 154281322 155975170 157009450 164398130 165370900 171985736 173349800 180283792 181350560 183500200 189884704 191551529 191969440 193242400 201752498 202336160 204557600 214982170 225354740 226688200 235755728 237355880 239961800 249560272 251215120 252920200 263037008 264593440 279476821 281693425 294694660 296694850 308562644 311950340 314018900 328796260 330741800 343971472 346699600 360567584 367000400 368368325 383103058 385703305 389937925 403504996 410995325 429964340 450709480 453376400 471511456 474711760 479923600 499120544 502430240 504381245 505840400 526074016 537455425 558953642 563386850 589389320 593389700 617125288 623900680 628037800 657592520 661483600 687942944 693399200 734000800 736736650 766206116 771406610 779875850 807009992 821990650 859928680 901418960 906752800 949423520 957757645 959847200 1002828593 1008762490 1011680800 1074910850 1117907284 1126773700 1178778640 1186779400 1234250576 1247801360 1256075600 1311391237 1315185040 1322967200 1397384105 1473473300 1532412232 1542813220 1559751700 1614019984 1643981300 1719857360 1802837920 1915515290 1928516525 2005657186 2017524980 2149821700 2235814568 2253547400 2357557280 2373558800 2468501152 2495602720 2512151200 2521906225 2622782474 2630370080 2794768210 2946946600 3064824464 3085626440 3119503400 3228039968 3287962600 3439714720 3831030580 3857033050 4011314372 4035049960 4299643400 4471629136 4507094800 4747117600 4788788225 5014142965 5043812450 5245564948 5589536420 5893893200 6129648928 6171252880 6239006800 6556956185 6575925200 6986920525 7662061160 7714066100 8022628744 8070099920 8599286800 8943258272 9014189600 9577576450 10028285930 10087624900 10491129896 11179072840 11787786400 12342505760 12478013600 13113912370 13151850400 13973841050 15324122320 15428132200 16045257488 16140199840 17048086081 17198573600 19155152900 20056571860 20175249800 20982259792 22358145680 25070714825 26227824740 27947682100 30648244640 30856264400 32090514976 32784780925 34096172162 38310305800 40113143720 40350499600 41964519584 44716291360 50141429650 52455649480 55895364200 61712528800 65569561850 68192344324 76620611600 80226287440 80700999200 85240430405 100282859300 104911298960 111790728400 131139123700 136384688648 153241223200 160452574880 170480860810 200565718600 209822597920 223581456800 262278247400 272769377296 340961721620 401131437200 426202152025 524556494800 545538754592 681923443240 802262874400 852404304050 1049112989600 1363846886480 1704808608100 2727693772960 3409617216200 6819234432400 13638468864800
- Sum of all divisors σ(n): 39271488182640
- Sum of proper divisors (its aliquot sum) s(n): 25633019317840
- 13638468864800 is an abundant number, because the sum of its proper divisors (25633019317840) is greater than itself. Its abundance is 11994550453040
Bases of 13638468864800
- Binary: 110001100111011101000001011110001011001000002
- Hexadecimal: 0xC6774178B20
- Base-36: 4U1FC86JK
Squares and roots of 13638468864800
- 13638468864800 squared (136384688648002) is 186007832976119000679040000
- 13638468864800 cubed (136384688648003) is 2536862038653717712700777097953792000000
-
The
square root of 13638468864800 is 3693029.7676569031 -
The
cube root of 13638468864800 is 23892.1485065443
Scales and comparisons
How big is 13638468864800?- 13,638,468,864,800 seconds is equal to 433,661 years, 6 weeks, 2 days, 21 hours, 33 minutes, 20 seconds.
-
To count from 1 to 13,638,468,864,800 would take you about one million, eighty-four thousand, one hundred fifty-two 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 13638468864800 cubic inches would be around 1991 feet tall.
Recreational maths with 13638468864800
- 13638468864800 backwards is 00846886483631
- 13638468864800 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13638468864800's digits is 65
- More coming soon!
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The information we have on file for 13638468864800 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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