13378726400
13,378,726,400 is an even composite number composed of six prime numbers multiplied together.
13378726400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 13378726400:
29 × 52 × 13 × 37 × 41 × 53
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 37 × 41 × 53)See below for interesting mathematical facts about the number 13378726400 from the Numbermatics database.
Names of 13378726400
- Cardinal: 13378726400 can be written as Thirteen billion, three hundred seventy-eight million, seven hundred twenty-six thousand, four hundred.
Scientific notation
- Scientific notation: 1.33787264 × 1010
Factors of 13378726400
Divisors of 13378726400
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 32 37 40 41 50 52 53 64 65 74 80 82 100 104 106 128 130 148 160 164 185 200 205 208 212 256 260 265 296 320 325 328 370 400 410 416 424 481 512 520 530 533 592 640 650 656 689 740 800 820 832 848 925 962 1025 1040 1060 1066 1184 1280 1300 1312 1325 1378 1480 1517 1600 1640 1664 1696 1850 1924 1961 2050 2080 2120 2132 2173 2368 2405 2560 2600 2624 2650 2665 2756 2960 3034 3200 3280 3328 3392 3445 3700 3848 3922 4100 4160 4240 4264 4346 4736 4810 5200 5248 5300 5330 5512 5920 6068 6400 6560 6656 6784 6890 7400 7585 7696 7844 8200 8320 8480 8528 8692 9472 9620 9805 10400 10496 10600 10660 10865 11024 11840 12025 12136 12800 13120 13325 13568 13780 14800 15170 15392 15688 16400 16640 16960 17056 17225 17384 18944 19240 19610 19721 20800 20992 21200 21320 21730 22048 23680 24050 24272 25493 26240 26650 27136 27560 28249 29600 30340 30784 31376 32800 33280 33920 34112 34450 34768 37925 38480 39220 39442 41600 42400 42640 43460 44096 47360 48100 48544 49025 50986 52480 53300 54325 55120 56498 59200 60680 61568 62752 65600 67840 68224 68900 69536 75850 76960 78440 78884 80401 83200 84800 85280 86920 88192 94720 96200 97088 98050 98605 101972 104960 106600 108650 110240 112996 118400 121360 123136 125504 127465 131200 135680 136448 137800 139072 141245 151700 153920 156880 157768 160802 166400 169600 170560 173840 176384 192400 194176 196100 197210 203944 213200 217300 220480 225992 236800 242720 246272 251008 254930 262400 272896 275600 278144 282490 303400 307840 313760 315536 321604 339200 341120 347680 352768 384800 388352 392200 394420 402005 407888 426400 434600 440960 451984 473600 485440 493025 502016 509860 524800 551200 556288 564980 606800 615680 627520 631072 637325 643208 678400 682240 695360 706225 769600 776704 784400 788840 804010 815776 852800 869200 881920 903968 970880 986050 1004032 1019720 1045213 1102400 1112576 1129960 1213600 1231360 1255040 1262144 1274650 1286416 1364480 1390720 1412450 1539200 1568800 1577680 1608020 1631552 1705600 1738400 1763840 1807936 1941760 1972100 2010025 2039440 2090426 2204800 2259920 2427200 2510080 2524288 2549300 2572832 2781440 2824900 3078400 3137600 3155360 3216040 3263104 3411200 3476800 3615872 3883520 3944200 4020050 4078880 4180852 4409600 4519840 4854400 5020160 5048576 5098600 5145664 5226065 5562880 5649800 6156800 6275200 6310720 6432080 6526208 6822400 6953600 7231744 7888400 8040100 8157760 8361704 8819200 9039680 9708800 10097152 10197200 10291328 10452130 11299600 12550400 12621440 12864160 13052416 13907200 14463488 15776800 16080200 16315520 16723408 18079360 19417600 20394400 20582656 20904260 22599200 25100800 25242880 25728320 26130325 27814400 31553600 32160400 32631040 33446816 36158720 40788800 41165312 41808520 45198400 50485760 51456640 52260650 63107200 64320800 65262080 66893632 72317440 81577600 83617040 90396800 102913280 104521300 126214400 128641600 133787264 163155200 167234080 180793600 205826560 209042600 252428800 257283200 267574528 326310400 334468160 361587200 418085200 514566400 535149056 668936320 836170400 1029132800 1337872640 1672340800 2675745280 3344681600 6689363200 13378726400
- Sum of all divisors σ(n): 38264144688
- Sum of proper divisors (its aliquot sum) s(n): 24885418288
- 13378726400 is an abundant number, because the sum of its proper divisors (24885418288) is greater than itself. Its abundance is 11506691888
Bases of 13378726400
- Binary: 11000111010110111100101010000000002
- Hexadecimal: 0x31D6F2A00
- Base-36: 659CJCW
Squares and roots of 13378726400
- 13378726400 squared (133787264002) is 178990320086056960000
- 13378726400 cubed (133787264003) is 2394662520679780522655744000000
-
The
square root of 13378726400 is 115666.4445723131 -
The
cube root of 13378726400 is 2373.9501265515
Scales and comparisons
How big is 13378726400?- 13,378,726,400 seconds is equal to 425 years, 20 weeks, 6 days, 8 hours, 53 minutes, 20 seconds.
-
To count from 1 to 13,378,726,400 would take you about eight hundred fifty 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 13378726400 cubic inches would be around 197.8 feet tall.
Recreational maths with 13378726400
- 13378726400 backwards is 00462787331
- 13378726400 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 13378726400's digits is 41
- More coming soon!
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