6838125772800
6,838,125,772,800 is an even composite number composed of five prime numbers multiplied together.
6838125772800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eight hundred ten divisors.
Prime factorization of 6838125772800:
214 × 3 × 52 × 72 × 3372
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 7 × 337 × 337)See below for interesting mathematical facts about the number 6838125772800 from the Numbermatics database.
Names of 6838125772800
- Cardinal: 6838125772800 can be written as Six trillion, eight hundred thirty-eight billion, one hundred twenty-five million, seven hundred seventy-two thousand, eight hundred.
Scientific notation
- Scientific notation: 6.8381257728 × 1012
Factors of 6838125772800
Divisors of 6838125772800
- Number of divisors d(n): 810
-
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 49 50 56 60 64 70 75 80 84 96 98 100 105 112 120 128 140 147 150 160 168 175 192 196 200 210 224 240 245 256 280 294 300 320 336 337 350 384 392 400 420 448 480 490 512 525 560 588 600 640 672 674 700 735 768 784 800 840 896 960 980 1011 1024 1050 1120 1176 1200 1225 1280 1344 1348 1400 1470 1536 1568 1600 1680 1685 1792 1920 1960 2022 2048 2100 2240 2352 2359 2400 2450 2560 2688 2696 2800 2940 3072 3136 3200 3360 3370 3584 3675 3840 3920 4044 4096 4200 4480 4704 4718 4800 4900 5055 5120 5376 5392 5600 5880 6144 6272 6400 6720 6740 7077 7168 7350 7680 7840 8088 8192 8400 8425 8960 9408 9436 9600 9800 10110 10240 10752 10784 11200 11760 11795 12288 12544 12800 13440 13480 14154 14336 14700 15360 15680 16176 16384 16513 16800 16850 17920 18816 18872 19200 19600 20220 20480 21504 21568 22400 23520 23590 24576 25088 25275 25600 26880 26960 28308 28672 29400 30720 31360 32352 33026 33600 33700 35385 35840 37632 37744 38400 39200 40440 40960 43008 43136 44800 47040 47180 49152 49539 50176 50550 51200 53760 53920 56616 57344 58800 58975 61440 62720 64704 66052 67200 67400 70770 71680 75264 75488 76800 78400 80880 81920 82565 86016 86272 89600 94080 94360 99078 100352 101100 102400 107520 107840 113232 113569 114688 117600 117950 122880 125440 129408 132104 134400 134800 141540 143360 150528 150976 153600 156800 161760 165130 172032 172544 176925 179200 188160 188720 198156 200704 202200 204800 215040 215680 226464 227138 235200 235900 245760 247695 250880 258816 264208 268800 269600 283080 286720 301056 301952 307200 313600 323520 330260 340707 344064 345088 353850 358400 376320 377440 396312 401408 404400 409600 412825 430080 431360 452928 454276 470400 471800 495390 501760 517632 528416 537600 539200 566160 567845 573440 602112 603904 614400 627200 647040 660520 681414 690176 707700 716800 752640 754880 792624 794983 802816 808800 825650 860160 862720 905856 908552 940800 943600 990780 1003520 1035264 1056832 1075200 1078400 1132320 1135690 1204224 1207808 1228800 1238475 1254400 1294080 1321040 1362828 1380352 1415400 1433600 1505280 1509760 1585248 1589966 1617600 1651300 1703535 1720320 1725440 1811712 1817104 1881600 1887200 1981560 2007040 2070528 2113664 2150400 2156800 2264640 2271380 2384949 2408448 2415616 2476950 2508800 2588160 2642080 2725656 2760704 2830800 2839225 2867200 3010560 3019520 3170496 3179932 3235200 3302600 3407070 3450880 3623424 3634208 3763200 3774400 3963120 3974915 4014080 4141056 4227328 4300800 4313600 4529280 4542760 4769898 4831232 4953900 5017600 5176320 5284160 5451312 5521408 5564881 5661600 5678450 6021120 6039040 6340992 6359864 6470400 6605200 6814140 6901760 7246848 7268416 7526400 7548800 7926240 7949830 8282112 8454656 8517675 8601600 8627200 9058560 9085520 9539796 9662464 9907800 10035200 10352640 10568320 10902624 11129762 11323200 11356900 11924745 12042240 12078080 12681984 12719728 12940800 13210400 13628280 13803520 14493696 14536832 15052800 15097600 15852480 15899660 16564224 16694643 16909312 17035350 17254400 18117120 18171040 19079592 19324928 19815600 19874575 20070400 20705280 21136640 21805248 22259524 22646400 22713800 23849490 24156160 25363968 25439456 25881600 26420800 27256560 27607040 27824405 28987392 29073664 30105600 30195200 31704960 31799320 33389286 33818624 34070700 34508800 36234240 36342080 38159184 38649856 39631200 39749150 41410560 42273280 43610496 44519048 45292800 45427600 47698980 48312320 50727936 50878912 51763200 52841600 54513120 55648810 57974784 58147328 59623725 60211200 60390400 63409920 63598640 66778572 67637248 68141400 69017600 72468480 72684160 76318368 79262400 79498300 82821120 83473215 84546560 87220992 89038096 90585600 90855200 95397960 96624640 101455872 101757824 103526400 105683200 109026240 111297620 115949568 116294656 119247450 120780800 126819840 127197280 133557144 135274496 136282800 138035200 139122025 144936960 145368320 152636736 158524800 158996600 166946430 169093120 174441984 178076192 181171200 181710400 190795920 193249280 202911744 203515648 207052800 211366400 218052480 222595240 232589312 238494900 241561600 253639680 254394560 267114288 270548992 272565600 278244050 289873920 290736640 305273472 317049600 317993200 333892860 338186240 348883968 356152384 362342400 363420800 381591840 405823488 407031296 414105600 417366075 422732800 436104960 445190480 465178624 476989800 483123200 507279360 508789120 534228576 545131200 556488100 579747840 581473280 610546944 634099200 635986400 667785720 676372480 697767936 712304768 724684800 726841600 763183680 811646976 814062592 834732150 845465600 872209920 890380960 930357248 953979600 966246400 1014558720 1017578240 1068457152 1090262400 1112976200 1162946560 1221093888 1268198400 1271972800 1335571440 1352744960 1395535872 1424609536 1449369600 1453683200 1526367360 1628125184 1669464300 1690931200 1744419840 1780761920 1860714496 1907959200 2029117440 2035156480 2136914304 2180524800 2225952400 2325893120 2442187776 2536396800 2543945600 2671142880 2791071744 2849219072 2898739200 2907366400 3052734720 3256250368 3338928600 3381862400 3488839680 3561523840 3815918400 4058234880 4070312960 4273828608 4361049600 4451904800 4651786240 4884375552 5072793600 5087891200 5342285760 5582143488 5698438144 5814732800 6105469440 6512500736 6677857200 6763724800 6977679360 7123047680 7631836800 8140625920 8547657216 8722099200 8903809600 9303572480 9768751104 10145587200 10175782400 10684571520 11396876288 11629465600 12210938880 13025001472 13355714400 13955358720 14246095360 15263673600 16281251840 17095314432 17444198400 17807619200 19537502208 20291174400 20351564800 21369143040 22793752576 23258931200 24421877760 26711428800 27910717440 28492190720 30527347200 32562503680 34190628864 34888396800 35615238400 39075004416 40703129600 42738286080 45587505152 46517862400 48843755520 53422857600 56984381440 61054694400 65125007360 68381257728 69776793600 71230476800 81406259200 85476572160 91175010304 97687511040 106845715200 113968762880 122109388800 136762515456 139553587200 142460953600 162812518400 170953144320 195375022080 213691430400 227937525760 244218777600 273525030912 284921907200 325625036800 341906288640 427382860800 455875051520 488437555200 569843814400 683812577280 854765721600 976875110400 1139687628800 1367625154560 1709531443200 2279375257600 3419062886400 6838125772800
- Sum of all divisors σ(n): 26380537248492
- Sum of proper divisors (its aliquot sum) s(n): 19542411475692
- 6838125772800 is an abundant number, because the sum of its proper divisors (19542411475692) is greater than itself. Its abundance is 12704285702892
Bases of 6838125772800
- Binary: 11000111000001000000000111011000000000000002
- Hexadecimal: 0x638200EC000
- Base-36: 2F9E3J2TC
Squares and roots of 6838125772800
- 6838125772800 squared (68381257728002) is 46759964084631597219840000
- 6838125772800 cubed (68381257728003) is 319750515542321685342216731492352000000
-
The
square root of 6838125772800 is 2614981.0272351881 -
The
cube root of 6838125772800 is 18980.7059659989
Scales and comparisons
How big is 6838125772800?- 6,838,125,772,800 seconds is equal to 217,431 years, 12 weeks, 6 days, 5 hours, 20 minutes.
-
To count from 1 to 6,838,125,772,800 would take you about five hundred forty-three thousand, five hundred seventy-eight 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 6838125772800 cubic inches would be around 1581.7 feet tall.
Recreational maths with 6838125772800
- 6838125772800 backwards is 0082775218386
- The number of decimal digits it has is: 13
- The sum of 6838125772800's digits is 57
- More coming soon!
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