13768128000
13,768,128,000 is an even composite number composed of six prime numbers multiplied together.
13768128000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 13768128000:
29 × 32 × 53 × 11 × 41 × 53
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 11 × 41 × 53)See below for interesting mathematical facts about the number 13768128000 from the Numbermatics database.
Names of 13768128000
- Cardinal: 13768128000 can be written as Thirteen billion, seven hundred sixty-eight million, one hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.3768128 × 1010
Factors of 13768128000
Divisors of 13768128000
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 30 32 33 36 40 41 44 45 48 50 53 55 60 64 66 72 75 80 82 88 90 96 99 100 106 110 120 123 125 128 132 144 150 159 160 164 165 176 180 192 198 200 205 212 220 225 240 246 250 256 264 265 275 288 300 318 320 328 330 352 360 369 375 384 396 400 410 424 440 450 451 477 480 492 495 500 512 528 530 550 576 583 600 615 636 640 656 660 704 720 738 750 768 792 795 800 820 825 848 880 900 902 954 960 984 990 1000 1025 1056 1060 1100 1125 1152 1166 1200 1230 1272 1280 1312 1320 1325 1353 1375 1408 1440 1476 1500 1536 1584 1590 1600 1640 1650 1696 1749 1760 1800 1804 1845 1908 1920 1968 1980 2000 2050 2112 2120 2173 2200 2250 2255 2304 2332 2385 2400 2460 2475 2544 2560 2624 2640 2650 2706 2750 2816 2880 2915 2952 3000 3075 3168 3180 3200 3280 3300 3392 3498 3520 3600 3608 3690 3816 3840 3936 3960 3975 4000 4059 4100 4125 4224 4240 4346 4400 4500 4510 4608 4664 4770 4800 4920 4950 5088 5125 5247 5248 5280 5300 5412 5500 5632 5760 5830 5904 6000 6150 6336 6360 6400 6519 6560 6600 6625 6765 6784 6996 7040 7200 7216 7380 7632 7680 7872 7920 7950 8000 8118 8200 8250 8448 8480 8692 8745 8800 9000 9020 9225 9328 9540 9600 9840 9900 10176 10250 10494 10496 10560 10600 10824 10865 11000 11275 11520 11660 11808 11925 12000 12300 12375 12672 12720 12800 13038 13120 13200 13250 13530 13568 13992 14080 14400 14432 14575 14760 15264 15375 15744 15840 15900 16000 16236 16400 16500 16896 16960 17384 17490 17600 18000 18040 18450 18656 19080 19200 19557 19680 19800 19875 20295 20352 20500 20988 20992 21120 21200 21648 21730 22000 22550 23040 23320 23616 23850 23903 24000 24600 24750 25344 25440 26076 26235 26240 26400 26500 27060 27136 27984 28160 28800 28864 29150 29520 30528 30750 31488 31680 31800 32000 32472 32595 32800 33000 33825 33920 34768 34980 35200 36000 36080 36900 37312 38160 38400 39114 39360 39600 39750 40590 40704 41000 41976 42240 42400 43296 43460 43725 44000 45100 46125 46640 47232 47700 47806 48000 49200 49500 50688 50880 52152 52470 52480 52800 53000 54120 54325 55968 56375 57600 57728 58300 59040 59625 61056 61500 62976 63360 63600 64000 64944 65190 65600 66000 67650 67840 69536 69960 70400 71709 72000 72160 72875 73800 74624 76320 78228 78720 79200 79500 81180 81408 82000 83952 84480 84800 86592 86920 87450 88000 90200 92250 93280 94464 95400 95612 96000 97785 98400 99000 101475 101760 104304 104940 104960 105600 106000 108240 108650 111936 112750 115200 115456 116600 118080 119250 119515 122112 123000 126720 127200 129888 130380 131175 131200 132000 135300 135680 139072 139920 140800 143418 144000 144320 145750 147600 149248 152640 156456 157440 158400 159000 162360 162975 164000 167904 169125 169600 173184 173840 174900 176000 180400 184500 186560 188928 190800 191224 192000 195570 196800 198000 202950 203520 208608 209880 211200 212000 215127 216480 217300 218625 223872 225500 230912 233200 236160 238500 239030 244224 246000 253440 254400 259776 260760 262350 262400 264000 270600 271625 278144 279840 286836 288000 288640 291500 295200 298496 305280 312912 314880 316800 318000 324720 325950 328000 335808 338250 339200 346368 347680 349800 352000 358545 360800 369000 373120 381600 382448 391140 393600 396000 405900 407040 417216 419760 422400 424000 430254 432960 434600 437250 447744 451000 466400 472320 477000 478060 488925 492000 507375 508800 519552 521520 524700 524800 528000 541200 543250 556288 559680 573672 576000 577280 583000 590400 597575 610560 625824 633600 636000 649440 651900 655875 656000 671616 676500 678400 692736 695360 699600 704000 717090 721600 738000 746240 763200 764896 782280 787200 792000 811800 814875 834432 839520 848000 860508 865920 869200 874500 895488 902000 932800 944640 954000 956120 977850 984000 1014750 1017600 1039104 1043040 1049400 1056000 1075635 1082400 1086500 1112576 1119360 1147344 1154560 1166000 1180800 1195150 1221120 1251648 1267200 1272000 1298880 1303800 1311750 1312000 1343232 1353000 1390720 1399200 1434180 1443200 1476000 1492480 1526400 1529792 1564560 1574400 1584000 1623600 1629750 1668864 1679040 1696000 1721016 1731840 1738400 1749000 1792725 1804000 1865600 1908000 1912240 1955700 1968000 2029500 2035200 2078208 2086080 2098800 2112000 2151270 2164800 2173000 2238720 2294688 2332000 2361600 2390300 2444625 2503296 2544000 2597760 2607600 2623500 2624000 2686464 2706000 2781440 2798400 2868360 2886400 2952000 2987875 3052800 3059584 3129120 3168000 3247200 3259500 3337728 3358080 3392000 3442032 3463680 3476800 3498000 3585450 3608000 3731200 3816000 3824480 3911400 3936000 4059000 4172160 4197600 4302540 4329600 4346000 4477440 4589376 4664000 4723200 4780600 4889250 5006592 5088000 5195520 5215200 5247000 5378175 5412000 5562880 5596800 5736720 5772800 5904000 5975750 6105600 6119168 6258240 6336000 6494400 6519000 6716160 6884064 6953600 6996000 7170900 7216000 7462400 7632000 7648960 7822800 7872000 8118000 8344320 8395200 8605080 8659200 8692000 8963625 9178752 9328000 9561200 9778500 10013184 10176000 10391040 10430400 10494000 10756350 10824000 11193600 11473440 11808000 11951500 12238336 12516480 12988800 13038000 13432320 13768128 13907200 13992000 14341800 14432000 15264000 15297920 15645600 16236000 16688640 16790400 17210160 17318400 17384000 17927250 18357504 18656000 19122400 19557000 20860800 20988000 21512700 21648000 22387200 22946880 23616000 23903000 25032960 25977600 26076000 26890875 27536256 27814400 27984000 28683600 28864000 30528000 30595840 31291200 32472000 33580800 34420320 34768000 35854500 36715008 37312000 38244800 39114000 41721600 41976000 43025400 43296000 45893760 47806000 50065920 51955200 52152000 53781750 55072512 55968000 57367200 61191680 62582400 64944000 67161600 68840640 69536000 71709000 76489600 78228000 83443200 83952000 86050800 86592000 91787520 95612000 104304000 107563500 110145024 111936000 114734400 125164800 129888000 137681280 139072000 143418000 152979200 156456000 167904000 172101600 183575040 191224000 208608000 215127000 229468800 250329600 259776000 275362560 286836000 305958400 312912000 335808000 344203200 382448000 417216000 430254000 458937600 550725120 573672000 625824000 688406400 764896000 860508000 917875200 1147344000 1251648000 1376812800 1529792000 1721016000 2294688000 2753625600 3442032000 4589376000 6884064000 13768128000
- Sum of all divisors σ(n): 56463511104
- Sum of proper divisors (its aliquot sum) s(n): 42695383104
- 13768128000 is an abundant number, because the sum of its proper divisors (42695383104) is greater than itself. Its abundance is 28927255104
Bases of 13768128000
- Binary: 11001101001010010011110110000000002
- Hexadecimal: 0x334A4F600
- Base-36: 6BP6RK0
Squares and roots of 13768128000
- 13768128000 squared (137681280002) is 189561348624384000000
- 13768128000 cubed (137681280003) is 2609904911713142833152000000000
-
The
square root of 13768128000 is 117337.6665866507 -
The
cube root of 13768128000 is 2396.7623008409
Scales and comparisons
How big is 13768128000?- 13,768,128,000 seconds is equal to 437 years, 40 weeks, 5 days, 8 hours.
-
To count from 1 to 13,768,128,000 would take you about eight hundred seventy-five 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 13768128000 cubic inches would be around 199.7 feet tall.
Recreational maths with 13768128000
- 13768128000 backwards is 00082186731
- 13768128000 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 13768128000's digits is 36
- More coming soon!
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