13681718400
13,681,718,400 is an even composite number composed of six prime numbers multiplied together.
13681718400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 13681718400:
27 × 3 × 52 × 7 × 73 × 2789
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 73 × 2789)See below for interesting mathematical facts about the number 13681718400 from the Numbermatics database.
Names of 13681718400
- Cardinal: 13681718400 can be written as Thirteen billion, six hundred eighty-one million, seven hundred eighteen thousand, four hundred.
Scientific notation
- Scientific notation: 1.36817184 × 1010
Factors of 13681718400
Divisors of 13681718400
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 50 56 60 64 70 73 75 80 84 96 100 105 112 120 128 140 146 150 160 168 175 192 200 210 219 224 240 280 292 300 320 336 350 365 384 400 420 438 448 480 511 525 560 584 600 640 672 700 730 800 840 876 896 960 1022 1050 1095 1120 1168 1200 1344 1400 1460 1533 1600 1680 1752 1825 1920 2044 2100 2190 2240 2336 2400 2555 2688 2789 2800 2920 3066 3200 3360 3504 3650 4088 4200 4380 4480 4672 4800 5110 5475 5578 5600 5840 6132 6720 7008 7300 7665 8176 8367 8400 8760 9344 9600 10220 10950 11156 11200 11680 12264 12775 13440 13945 14016 14600 15330 16352 16734 16800 17520 19523 20440 21900 22312 22400 23360 24528 25550 27890 28032 29200 30660 32704 33468 33600 35040 38325 39046 40880 41835 43800 44624 46720 49056 51100 55780 58400 58569 61320 65408 66936 67200 69725 70080 76650 78092 81760 83670 87600 89248 97615 98112 102200 111560 116800 117138 122640 133872 139450 140160 153300 156184 163520 167340 175200 178496 195230 196224 203597 204400 209175 223120 233600 234276 245280 267744 278900 292845 306600 312368 327040 334680 350400 356992 390460 407194 408800 418350 446240 468552 488075 490560 535488 557800 585690 610791 613200 624736 669360 700800 780920 814388 817600 836700 892480 937104 976150 981120 1017985 1070976 1115600 1171380 1221582 1226400 1249472 1338720 1425179 1464225 1561840 1628776 1635200 1673400 1784960 1874208 1952300 2035970 2231200 2342760 2443164 2452800 2498944 2677440 2850358 2928450 3053955 3123680 3257552 3346800 3748416 3904600 4071940 4275537 4462400 4685520 4886328 4905600 5089925 5354880 5700716 5856900 6107910 6247360 6515104 6693600 7125895 7496832 7809200 8143880 8551074 8924800 9371040 9772656 10179850 11401432 11713800 12215820 12494720 13030208 13387200 14251790 15269775 15618400 16287760 17102148 18742080 19545312 20359700 21377685 22802864 23427600 24431640 26060416 26774400 28503580 30539550 31236800 32575520 34204296 35629475 37484160 39090624 40719400 42755370 45605728 46855200 48863280 57007160 61079100 62473600 65151040 68408592 71258950 78181248 81438800 85510740 91211456 93710400 97726560 106888425 114014320 122158200 130302080 136817184 142517900 162877600 171021480 182422912 187420800 195453120 213776850 228028640 244316400 273634368 285035800 325755200 342042960 390906240 427553700 456057280 488632800 547268736 570071600 651510400 684085920 855107400 912114560 977265600 1140143200 1368171840 1710214800 1954531200 2280286400 2736343680 3420429600 4560572800 6840859200 13681718400
- Sum of all divisors σ(n): 52226121600
- Sum of proper divisors (its aliquot sum) s(n): 38544403200
- 13681718400 is an abundant number, because the sum of its proper divisors (38544403200) is greater than itself. Its abundance is 24862684800
Bases of 13681718400
- Binary: 11001011110111111001110100100000002
- Hexadecimal: 0x32F7E7480
- Base-36: 6A9QPHC
Squares and roots of 13681718400
- 13681718400 squared (136817184002) is 187189418376898560000
- 13681718400 cubed (136817184003) is 2561072909692511163285504000000
-
The
square root of 13681718400 is 116968.8779120327 -
The
cube root of 13681718400 is 2391.7376997495
Scales and comparisons
How big is 13681718400?- 13,681,718,400 seconds is equal to 435 years, 1 week, 6 days, 5 hours, 20 minutes.
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To count from 1 to 13,681,718,400 would take you about eight hundred seventy 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 13681718400 cubic inches would be around 199.3 feet tall.
Recreational maths with 13681718400
- 13681718400 backwards is 00481718631
- The number of decimal digits it has is: 11
- The sum of 13681718400's digits is 39
- More coming soon!
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