1328717478400
1,328,717,478,400 is an even composite number composed of five prime numbers multiplied together.
What does the number 1328717478400 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 480 divisors.
1328717478400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 1328717478400:
29 × 52 × 133 × 37 × 1277
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 13 × 13 × 37 × 1277)See below for interesting mathematical facts about the number 1328717478400 from the Numbermatics database.
Names of 1328717478400
- Cardinal: 1328717478400 can be written as One trillion, three hundred twenty-eight billion, seven hundred seventeen million, four hundred seventy-eight thousand, four hundred.
Scientific notation
- Scientific notation: 1.3287174784 × 1012
Factors of 1328717478400
Divisors of 1328717478400
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 32 37 40 50 52 64 65 74 80 100 104 128 130 148 160 169 185 200 208 256 260 296 320 325 338 370 400 416 481 512 520 592 640 650 676 740 800 832 845 925 962 1040 1184 1277 1280 1300 1352 1480 1600 1664 1690 1850 1924 2080 2197 2368 2405 2554 2560 2600 2704 2960 3200 3328 3380 3700 3848 4160 4225 4394 4736 4810 5108 5200 5408 5920 6253 6385 6400 6656 6760 7400 7696 8320 8450 8788 9472 9620 10216 10400 10816 10985 11840 12025 12506 12770 12800 13520 14800 15392 16601 16640 16900 17576 18944 19240 20432 20800 21632 21970 23680 24050 25012 25540 27040 29600 30784 31265 31925 33202 33280 33800 35152 38480 40864 41600 43264 43940 47249 47360 48100 50024 51080 54080 54925 59200 61568 62530 63850 66404 67600 70304 76960 81289 81728 83005 83200 86528 87880 94498 94720 96200 100048 102160 108160 109850 118400 123136 125060 127700 132808 135200 140608 153920 156325 162578 163456 166010 166400 175760 188996 192400 200096 204320 215813 216320 219700 236245 236800 246272 250120 255400 265616 270400 281216 307840 312650 325156 326912 332020 351520 377992 384800 400192 406445 408640 415025 431626 432640 439400 472490 473600 500240 510800 531232 540800 562432 614237 615680 625300 650312 653824 664040 703040 755984 769600 800384 812890 817280 830050 863252 878800 944980 1000480 1021600 1062464 1079065 1081600 1124864 1181225 1228474 1231360 1250600 1300624 1328080 1406080 1511968 1539200 1600768 1625780 1634560 1660100 1726504 1757600 1889960 2000960 2032225 2043200 2124928 2158130 2163200 2362450 2456948 2501200 2601248 2656160 2805569 2812160 3023936 3071185 3078400 3201536 3251560 3269120 3320200 3453008 3515200 3779920 4001920 4064450 4086400 4249856 4316260 4724900 4913896 5002400 5202496 5312320 5395325 5611138 5624320 6047872 6142370 6156800 6503120 6640400 6906016 7030400 7559840 7985081 8003840 8128900 8172800 8499712 8632520 9449800 9827792 10004800 10404992 10624640 10790650 11222276 12095744 12284740 13006240 13280800 13812032 14027845 14060800 15119680 15355925 15970162 16007680 16257800 16345600 17265040 18899600 19655584 20009600 20809984 21249280 21581300 22444552 24191488 24569480 26012480 26561600 27624064 28055690 28121600 30239360 30711850 31940324 32515600 34530080 37799200 39311168 39925405 40019200 41619968 42498560 43162600 44889104 49138960 52024960 53123200 55248128 56111380 60478720 61423700 63880648 65031200 69060160 70139225 75598400 78622336 79850810 80038400 86325200 89778208 98277920 103806053 104049920 106246400 110496256 112222760 120957440 122847400 127761296 130062400 138120320 140278450 151196800 157244672 159701620 172650400 179556416 196555840 199627025 207612106 208099840 212492800 224445520 245694800 255522592 260124800 276240640 280556900 302393600 314489344 319403240 345300800 359112832 393111680 399254050 415224212 448891040 491389600 511045184 519030265 520249600 552481280 561113800 604787200 638806480 690601600 718225664 786223360 798508100 830448424 897782080 982779200 1022090368 1038060530 1040499200 1122227600 1277612960 1381203200 1436451328 1572446720 1597016200 1660896848 1795564160 1965558400 2044180736 2076121060 2244455200 2555225920 2595151325 2762406400 3194032400 3321793696 3591128320 3931116800 4088361472 4152242120 4488910400 5110451840 5190302650 6388064800 6643587392 7182256640 7862233600 8304484240 8977820800 10220903680 10380605300 12776129600 13287174784 16608968480 17955641600 20441807360 20761210600 25552259200 26574349568 33217936960 35911283200 41522421200 51104518400 53148699136 66435873920 83044842400 102209036800 132871747840 166089684800 265743495680 332179369600 664358739200 1328717478400
- Sum of all divisors σ(n): 3665462114160
- Sum of proper divisors (its aliquot sum) s(n): 2336744635760
- 1328717478400 is an abundant number, because the sum of its proper divisors (2336744635760) is greater than itself. Its abundance is 1008027157360
Bases of 1328717478400
- Binary: 100110101010111011011101110111010000000002
- Hexadecimal: 0x1355DBBBA00
- Base-36: GYEK2VWG
Squares and roots of 1328717478400
- 1328717478400 squared (13287174784002) is 1765490137405654466560000
- 1328717478400 cubed (13287174784003) is 2345837603513710720709300322304000000
-
The
square root of 1328717478400 is 1152700.0817211735 -
The
cube root of 1328717478400 is 10993.7084639007
Scales and comparisons
How big is 1328717478400?- 1,328,717,478,400 seconds is equal to 42,249 years, 5 weeks, 3 days, 12 hours, 26 minutes, 40 seconds.
-
To count from 1 to 1,328,717,478,400 would take you about one hundred five thousand, six hundred twenty-two 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 1328717478400 cubic inches would be around 916.1 feet tall.
Recreational maths with 1328717478400
- 1328717478400 backwards is 0048747178231
- 1328717478400 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 1328717478400's digits is 52
- More coming soon!
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