13689842891200
13,689,842,891,200 is an even composite number composed of six prime numbers multiplied together.
13689842891200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 13689842891200:
26 × 52 × 73 × 31 × 732 × 151
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 7 × 31 × 73 × 73 × 151)See below for interesting mathematical facts about the number 13689842891200 from the Numbermatics database.
Names of 13689842891200
- Cardinal: 13689842891200 can be written as Thirteen trillion, six hundred eighty-nine billion, eight hundred forty-two million, eight hundred ninety-one thousand, two hundred.
Scientific notation
- Scientific notation: 1.36898428912 × 1013
Factors of 13689842891200
Divisors of 13689842891200
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 31 32 35 40 49 50 56 62 64 70 73 80 98 100 112 124 140 146 151 155 160 175 196 200 217 224 245 248 280 292 302 310 320 343 350 365 392 400 434 448 490 496 511 560 584 604 620 686 700 730 755 775 784 800 868 980 992 1022 1057 1085 1120 1168 1208 1225 1240 1372 1400 1460 1510 1519 1550 1568 1600 1715 1736 1825 1960 1984 2044 2114 2170 2240 2263 2336 2416 2450 2480 2555 2744 2800 2920 3020 3038 3100 3136 3430 3472 3577 3650 3775 3920 4088 4228 4340 4526 4672 4681 4832 4900 4960 5110 5285 5329 5425 5488 5600 5840 6040 6076 6200 6860 6944 7154 7300 7399 7550 7595 7840 8176 8456 8575 8680 9052 9362 9664 9800 9920 10220 10570 10633 10658 10850 10976 11023 11200 11315 11680 12080 12152 12400 12775 13720 13888 14308 14600 14798 15100 15190 15680 15841 16352 16912 17150 17360 17885 18104 18724 19600 20440 21140 21266 21316 21700 21952 22046 22630 23360 23405 24160 24304 24800 25039 25550 26425 26645 27440 28616 29200 29596 30200 30380 31682 32704 32767 33824 34300 34720 35770 36208 36995 37303 37448 37975 39200 40880 42280 42532 42632 43400 44092 45260 46810 48320 48608 49600 50078 51100 51793 52850 53165 53290 54880 55115 56575 57232 58400 59192 60400 60760 63364 65534 67648 68600 69440 71540 72416 73990 74606 74896 75950 77161 78400 79205 81760 84560 85064 85264 86800 88184 89425 90520 93620 97216 100156 102200 103586 105700 106330 106580 109760 110230 110887 113150 114464 116800 117025 118384 120800 121520 125195 126728 131068 133225 137200 143080 144832 147980 149212 149792 151900 154322 158410 163520 163835 165199 169120 170128 170528 173600 176368 178850 181040 184975 186515 187240 200312 204400 207172 211400 212660 213160 220460 221774 226300 228928 229369 234050 236768 241600 243040 250390 253456 258965 261121 262136 265825 266450 274400 275575 286160 295960 298424 299584 303800 308644 316820 327670 330398 338240 340256 341056 341713 347200 352736 357700 362080 369950 373030 374480 385805 396025 400624 408800 414344 422800 425320 426320 440920 443548 452600 458738 468100 473536 486080 500780 506912 517930 522242 524272 531650 532900 540127 548800 551150 554435 572320 591920 596848 607600 617288 625975 633640 655340 660796 680512 683426 705472 715400 724160 739900 746060 748960 771610 776209 792050 801248 804679 817600 819175 825995 828688 845600 850640 852640 881840 887096 905200 917476 932575 936200 1001560 1013824 1035860 1044484 1048544 1063300 1065800 1080254 1102300 1108870 1144640 1146845 1156393 1183840 1193696 1215200 1234576 1251950 1267280 1294825 1305605 1310680 1321592 1366852 1430800 1479800 1492120 1497920 1543220 1552418 1584100 1602496 1605583 1609358 1638350 1651990 1657376 1691200 1701280 1705280 1708565 1763680 1774192 1810400 1827847 1834952 1865150 1872400 1929025 2003120 2071720 2088968 2097088 2126600 2131600 2160508 2204600 2217740 2293690 2312786 2367680 2387392 2391991 2430400 2469152 2503900 2534560 2589650 2611210 2621360 2643184 2700635 2733704 2772175 2861600 2959600 2984240 3086440 3104836 3168200 3211166 3218716 3276700 3303980 3314752 3402560 3417130 3527360 3548384 3620800 3655694 3669904 3730300 3744800 3780889 3858050 3881045 4006240 4023395 4129975 4143440 4177936 4253200 4263200 4321016 4409200 4435480 4587380 4625572 4783982 4938304 5007800 5069120 5179300 5222420 5242720 5286368 5401270 5467408 5544350 5632753 5723200 5734225 5781965 5919200 5968480 6172880 6209672 6336400 6422332 6437432 6528025 6553400 6607960 6834260 7096768 7311388 7339808 7460600 7489600 7561778 7716100 7762090 8012480 8027915 8046790 8094751 8259950 8286880 8355872 8506400 8526400 8542825 8642032 8818400 8870960 9139235 9174760 9251144 9567964 10015600 10358600 10444840 10485440 10572736 10802540 10934816 11088700 11265506 11468450 11563930 11838400 11936960 11959955 12345760 12419344 12672800 12844664 12874864 13056050 13106800 13215920 13503175 13668520 14622776 14679616 14921200 15123556 15432200 15524180 16055830 16093580 16189502 16519900 16573760 16711744 16743937 17012800 17085650 17284064 17636800 17741920 18278470 18349520 18502288 18904445 19135928 19405225 20031200 20116975 20717200 20889680 21605080 21869632 22177400 22531012 22936900 23127860 23919910 24691520 24838688 24945049 25345600 25689328 25749728 26112100 26213600 26431840 27006350 27337040 28163765 28909825 29245552 29842400 30247112 30864400 31048360 32111660 32187160 32379004 33039800 33487874 34171300 34568128 35483840 36556940 36699040 37004576 37808890 38271856 38810450 39429271 40062400 40139575 40233950 40473755 41434400 41779360 43210160 44354800 45062024 45696175 45873800 46255720 47839820 49677376 49890098 51378656 51499456 52224200 52427200 52863680 54012700 54674080 56327530 56663257 57819650 58491104 59684800 59799775 60494224 61728800 62096720 64223320 64374320 64758008 66079600 66975748 68342600 73113880 73398080 74009152 75617780 76543712 77620900 78858542 80279150 80467900 80947510 82868800 83558720 83719685 86420320 88709600 90124048 91392350 91747600 92511440 94522225 95679640 99780196 102757312 104448400 108025400 109348160 112655060 113326514 115639300 116982208 117207559 119599550 120988448 123457600 124193440 124725245 128446640 128748640 129516016 132159200 133951496 136685200 140818825 146227760 151235560 153087424 155241800 157717084 160558300 160935800 161895020 167439370 172840640 174615343 177419200 180248096 182784700 183495200 185022880 189044450 191359280 197146355 199560392 202368775 208896800 216050800 225310120 226653028 231278600 234415118 239199100 241976896 248386880 249450490 256893280 257497280 259032032 264318400 267902992 273370400 276004897 281637650 283316285 292455520 302471120 310483600 315434168 321116600 321871600 323790040 334878740 349230686 360496192 365569400 366990400 370045760 378088900 382718560 394292710 399120784 404737550 417793600 418598425 432101600 450620240 453306056 462557200 468830236 478398200 498900980 513786560 518064064 535805984 546740800 552009794 563275300 566632570 584911040 586037795 604942240 620967200 623626225 630868336 642233200 643743200 647580080 669757480 698461372 731138800 756177800 765437120 788585420 798241568 809475100 837196850 864203200 873076715 901240480 906612112 925114400 937660472 956796400 985731775 997801960 1071611968 1104019588 1126550600 1133265140 1172075590 1209884480 1222307401 1241934400 1247252450 1261736672 1284466400 1287486400 1295160160 1339514960 1380024485 1396922744 1416581425 1462277600 1512355600 1577170840 1596483136 1618950200 1674393700 1746153430 1802480960 1813224224 1850228800 1875320944 1913592800 1971463550 1995603920 2208039176 2253101200 2266530280 2344151180 2444614802 2494504900 2523473344 2568932800 2590320320 2679029920 2760048970 2793845488 2833162850 2924555200 2930188975 3024711200 3154341680 3237900400 3348787400 3492306860 3626448448 3750641888 3827185600 3942927100 3991207840 4365383575 4416078352 4506202400 4533060560 4688302360 4889229604 4989009800 5358059840 5520097940 5587690976 5666325700 5860377950 6049422400 6111537005 6308683360 6475800800 6697574800 6900122425 6984613720 7501283776 7885854200 7982415680 8556151807 8730767150 8832156704 9012404800 9066121120 9376604720 9778459208 9978019600 11040195880 11175381952 11332651400 11720755900 12223074010 12617366720 12951601600 13395149600 13800244850 13969227440 15771708400 17112303614 17461534300 17664313408 18132242240 18753209440 19556918416 19956039200 22080391760 22665302800 23441511800 24446148020 26790299200 27600489700 27938454880 30557685025 31543416800 34224607228 34923068600 37506418880 39113836832 39912078400 42780759035 44160783520 45330605600 46883023600 48892296040 55200979400 55876909760 61115370050 63086833600 68449214456 69846137200 78227673664 85561518070 88321567040 90661211200 93766047200 97784592080 110401958800 122230740100 136898428912 139692274400 171123036140 187532094400 195569184160 213903795175 220803917600 244461480200 273796857824 279384548800 342246072280 391138368320 427807590350 441607835200 488922960400 547593715648 684492144560 855615180700 977845920800 1368984289120 1711230361400 1955691841600 2737968578240 3422460722800 6844921445600 13689842891200
- Sum of all divisors σ(n): 41386046361600
- Sum of proper divisors (its aliquot sum) s(n): 27696203470400
- 13689842891200 is an abundant number, because the sum of its proper divisors (27696203470400) is greater than itself. Its abundance is 14006360579200
Bases of 13689842891200
- Binary: 110001110011011010100011100011111001110000002
- Hexadecimal: 0xC736A38F9C0
- Base-36: 4UP0YZV0G
Squares and roots of 13689842891200
- 13689842891200 squared (136898428912002) is 187411798385739175037440000
- 13689842891200 cubed (136898428912003) is 2565638075858019080843650477846528000000
-
The
square root of 13689842891200 is 3699978.7690201683 -
The
cube root of 13689842891200 is 23922.1102739955
Scales and comparisons
How big is 13689842891200?- 13,689,842,891,200 seconds is equal to 435,294 years, 34 weeks, 1 day, 16 hours, 26 minutes, 40 seconds.
-
To count from 1 to 13,689,842,891,200 would take you about one million, eighty-eight thousand, two hundred thirty-six 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 13689842891200 cubic inches would be around 1993.5 feet tall.
Recreational maths with 13689842891200
- 13689842891200 backwards is 00219824898631
- The number of decimal digits it has is: 14
- The sum of 13689842891200's digits is 61
- More coming soon!
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