13688211460800
13,688,211,460,800 is an even composite number composed of six prime numbers multiplied together.
What does the number 13688211460800 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 336 divisors.
13688211460800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 13688211460800:
26 × 3 × 52 × 173 × 433 × 38069
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 173 × 433 × 38069)See below for interesting mathematical facts about the number 13688211460800 from the Numbermatics database.
Names of 13688211460800
- Cardinal: 13688211460800 can be written as Thirteen trillion, six hundred eighty-eight billion, two hundred eleven million, four hundred sixty thousand, eight hundred.
Scientific notation
- Scientific notation: 1.36882114608 × 1013
Factors of 13688211460800
Divisors of 13688211460800
- Number of divisors d(n): 336
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 150 160 173 192 200 240 300 320 346 400 433 480 519 600 692 800 865 866 960 1038 1200 1299 1384 1600 1730 1732 2076 2165 2400 2595 2598 2768 3460 3464 4152 4325 4330 4800 5190 5196 5536 6495 6920 6928 8304 8650 8660 10380 10392 10825 11072 12975 12990 13840 13856 16608 17300 17320 20760 20784 21650 25950 25980 27680 27712 32475 33216 34600 34640 38069 41520 41568 43300 51900 51960 55360 64950 69200 69280 74909 76138 83040 83136 86600 103800 103920 114207 129900 138400 138560 149818 152276 166080 173200 190345 207600 207840 224727 228414 259800 276800 299636 304552 346400 374545 380690 415200 415680 449454 456828 519600 571035 599272 609104 692800 749090 761380 830400 898908 913656 951725 1039200 1123635 1142070 1198544 1218208 1498180 1522760 1797816 1827312 1872725 1903450 2078400 2247270 2284140 2397088 2436416 2855175 2996360 3045520 3595632 3654624 3745450 3806900 4494540 4568280 4794176 5618175 5710350 5992720 6091040 6585937 7191264 7309248 7490900 7613800 8989080 9136560 11236350 11420700 11985440 12182080 13171874 14382528 14981800 15227600 16483877 17978160 18273120 19757811 22472700 22841400 23970880 26343748 29963600 30455200 32929685 32967754 35956320 36546240 39515622 44945400 45682800 49451631 52687496 59927200 60910400 65859370 65935508 71912640 79031244 82419385 89890800 91365600 98789055 98903262 105374992 119854400 131718740 131871016 158062488 164648425 164838770 179781600 182731200 197578110 197806524 210749984 247258155 263437480 263742032 316124976 329296850 329677540 359563200 395156220 395613048 412096925 421499968 493945275 494516310 526874960 527484064 632249952 658593700 659355080 790312440 791226096 824193850 987890550 989032620 1053749920 1054968128 1236290775 1264499904 1317187400 1318710160 1580624880 1582452192 1648387700 1975781100 1978065240 2107499840 2472581550 2634374800 2637420320 2851710721 3161249760 3164904384 3296775400 3951562200 3956130480 4945163100 5268749600 5274840640 5703421442 6322499520 6593550800 7903124400 7912260960 8555132163 9890326200 10537499200 11406842884 13187101600 14258553605 15806248800 15824521920 17110264326 19780652400 22813685768 26374203200 28517107210 31612497600 34220528652 39561304800 42775660815 45627371536 57034214420 68441057304 71292768025 79122609600 85551321630 91254743072 114068428840 136882114608 142585536050 171102643260 182509486144 213878304075 228136857680 273764229216 285171072100 342205286520 427756608150 456273715360 547528458432 570342144200 684410573040 855513216300 912547430720 1140684288400 1368821146080 1711026432600 2281368576800 2737642292160 3422052865200 4562737153600 6844105730400 13688211460800
- Sum of all divisors σ(n): 45273832601760
- Sum of proper divisors (its aliquot sum) s(n): 31585621140960
- 13688211460800 is an abundant number, because the sum of its proper divisors (31585621140960) is greater than itself. Its abundance is 17897409680160
Bases of 13688211460800
- Binary: 110001110011000010001111101101010010110000002
- Hexadecimal: 0xC7308FB52C0
- Base-36: 4UO9ZON9C
Squares and roots of 13688211460800
- 13688211460800 squared (136882114608002) is 187367132995576469936640000
- 13688211460800 cubed (136882114608003) is 2564720937247287671489522297843712000000
-
The
square root of 13688211460800 is 3699758.2976189133 -
The
cube root of 13688211460800 is 23921.1599633977
Scales and comparisons
How big is 13688211460800?- 13,688,211,460,800 seconds is equal to 435,242 years, 40 weeks, 5 days, 9 hours, 20 minutes.
-
To count from 1 to 13,688,211,460,800 would take you about one million, eighty-eight thousand, one hundred 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 13688211460800 cubic inches would be around 1993.4 feet tall.
Recreational maths with 13688211460800
- 13688211460800 backwards is 00806411288631
- 13688211460800 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13688211460800's digits is 48
- More coming soon!
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