13678289331200
13,678,289,331,200 is an even composite number composed of six prime numbers multiplied together.
13678289331200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred twenty-eight divisors.
Prime factorization of 13678289331200:
210 × 52 × 13 × 19 × 127 × 17033
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 19 × 127 × 17033)See below for interesting mathematical facts about the number 13678289331200 from the Numbermatics database.
Names of 13678289331200
- Cardinal: 13678289331200 can be written as Thirteen trillion, six hundred seventy-eight billion, two hundred eighty-nine million, three hundred thirty-one thousand, two hundred.
Scientific notation
- Scientific notation: 1.36782893312 × 1013
Factors of 13678289331200
Divisors of 13678289331200
- Number of divisors d(n): 528
-
Complete list of divisors:
1 2 4 5 8 10 13 16 19 20 25 26 32 38 40 50 52 64 65 76 80 95 100 104 127 128 130 152 160 190 200 208 247 254 256 260 304 320 325 380 400 416 475 494 508 512 520 608 635 640 650 760 800 832 950 988 1016 1024 1040 1216 1235 1270 1280 1300 1520 1600 1651 1664 1900 1976 2032 2080 2413 2432 2470 2540 2560 2600 3040 3175 3200 3302 3328 3800 3952 4064 4160 4826 4864 4940 5080 5120 5200 6080 6175 6350 6400 6604 6656 7600 7904 8128 8255 8320 9652 9728 9880 10160 10400 12065 12160 12350 12700 12800 13208 13312 15200 15808 16256 16510 16640 17033 19304 19456 19760 20320 20800 24130 24320 24700 25400 25600 26416 30400 31369 31616 32512 33020 33280 34066 38608 39520 40640 41275 41600 48260 48640 49400 50800 52832 60325 60800 62738 63232 65024 66040 66560 68132 77216 79040 81280 82550 83200 85165 96520 97280 98800 101600 105664 120650 121600 125476 126464 130048 132080 136264 154432 156845 158080 162560 165100 166400 170330 193040 197600 203200 211328 221429 241300 243200 250952 252928 264160 272528 308864 313690 316160 323627 325120 330200 332800 340660 386080 395200 406400 422656 425825 442858 482600 486400 501904 528320 545056 617728 627380 632320 647254 650240 660400 681320 772160 784225 790400 812800 845312 851650 885716 965200 1003808 1056640 1090112 1107145 1235456 1254760 1264640 1294508 1320800 1362640 1544320 1568450 1580800 1618135 1625600 1690624 1703300 1771432 1930400 2007616 2113280 2163191 2180224 2214290 2470912 2509520 2589016 2641600 2725280 3088640 3136900 3161600 3236270 3251200 3406600 3542864 3860800 4015232 4207151 4226560 4326382 4360448 4428580 5019040 5178032 5283200 5450560 5535725 6177280 6273800 6323200 6472540 6813200 7085728 7721600 8030464 8090675 8414302 8453120 8652764 8720896 8857160 10038080 10356064 10566400 10815955 10901120 11071450 12354560 12547600 12945080 13626400 14171456 15443200 16060928 16181350 16828604 17305528 17441792 17714320 20076160 20712128 21035755 21132800 21631910 21802240 22142900 25095200 25890160 27252800 28121483 28342912 30886400 32121856 32362700 33657208 34611056 35428640 40152320 41100629 41424256 42071510 42265600 43263820 43604480 44285800 50190400 51780320 54079775 54505600 56242966 56685824 61772800 64725400 67314416 69222112 70857280 80304640 82201258 82848512 84143020 86527640 87208960 88571600 100380800 103560640 105178775 108159550 109011200 112485932 113371648 129450800 134628832 138444224 140607415 141714560 160609280 164402516 165697024 168286040 173055280 177143200 200761600 205503145 207121280 210357550 216319100 218022400 224971864 226743296 258901600 269257664 276888448 281214830 283429120 328805032 331394048 336572080 346110560 354286400 401523200 411006290 414242560 420715100 432638200 436044800 449943728 517803200 534308177 538515328 553776896 562429660 566858240 657610064 673144160 692221120 703037075 708572800 803046400 822012580 828485120 841430200 865276400 899887456 1027515725 1035606400 1068616354 1077030656 1107553792 1124859320 1133716480 1315220128 1346288320 1384442240 1406074150 1417145600 1644025160 1656970240 1682860400 1730552800 1799774912 2055031450 2071212800 2137232708 2154061312 2215107584 2249718640 2630440256 2671540885 2692576640 2768884480 2812148300 2834291200 3288050320 3365720800 3461105600 3599549824 4110062900 4142425600 4274465416 4308122624 4499437280 5260880512 5343081770 5385153280 5537768960 5624296600 5668582400 6576100640 6731441600 6922211200 7199099648 8220125800 8284851200 8548930832 8998874560 10521761024 10686163540 10770306560 11075537920 11248593200 13152201280 13357704425 13462883200 13844422400 14398199296 16440251600 17097861664 17997749120 21043522048 21372327080 21540613120 22497186400 26304402560 26715408850 26925766400 27688844800 28796398592 32880503200 34195723328 35995498240 42087044096 42744654160 44994372800 52608805120 53430817700 53851532800 55377689600 65761006400 68391446656 71990996480 85489308320 89988745600 105217610240 106861635400 107703065600 131522012800 136782893312 143981992960 170978616640 179977491200 210435220480 213723270800 263044025600 273565786624 341957233280 359954982400 427446541600 526088051200 547131573248 683914466560 719909964800 854893083200 1052176102400 1367828933120 1709786166400 2735657866240 3419572332800 6839144665600 13678289331200
- Sum of all divisors σ(n): 38740407121920
- Sum of proper divisors (its aliquot sum) s(n): 25062117790720
- 13678289331200 is an abundant number, because the sum of its proper divisors (25062117790720) is greater than itself. Its abundance is 11383828459520
Bases of 13678289331200
- Binary: 110001110000101110011001001110100100000000002
- Hexadecimal: 0xC70B993A400
- Base-36: 4UJPWAZ28
Squares and roots of 13678289331200
- 13678289331200 squared (136782893312002) is 187095599028019743293440000
- 13678289331200 cubed (136782893312003) is 2559147736099435544553623102947328000000
-
The
square root of 13678289331200 is 3698417.1386148427 -
The
cube root of 13678289331200 is 23915.3786816507
Scales and comparisons
How big is 13678289331200?- 13,678,289,331,200 seconds is equal to 434,927 years, 15 weeks, 22 hours, 13 minutes, 20 seconds.
-
To count from 1 to 13,678,289,331,200 would take you about one million, eighty-seven thousand, three hundred eighteen 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 13678289331200 cubic inches would be around 1992.9 feet tall.
Recreational maths with 13678289331200
- 13678289331200 backwards is 00213398287631
- The number of decimal digits it has is: 14
- The sum of 13678289331200's digits is 53
- More coming soon!
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