106338128000
106,338,128,000 is an even composite number composed of six prime numbers multiplied together.
106338128000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 106338128000:
27 × 53 × 13 × 172 × 29 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 13 × 17 × 17 × 29 × 61)See below for interesting mathematical facts about the number 106338128000 from the Numbermatics database.
Names of 106338128000
- Cardinal: 106338128000 can be written as One hundred six billion, three hundred thirty-eight million, one hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.06338128 × 1011
Factors of 106338128000
Divisors of 106338128000
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 4 5 8 10 13 16 17 20 25 26 29 32 34 40 50 52 58 61 64 65 68 80 85 100 104 116 122 125 128 130 136 145 160 170 200 208 221 232 244 250 260 272 289 290 305 320 325 340 377 400 416 425 442 464 488 493 500 520 544 578 580 610 640 650 680 725 754 793 800 832 850 884 928 976 986 1000 1037 1040 1088 1105 1156 1160 1220 1300 1360 1445 1450 1508 1525 1586 1600 1625 1664 1700 1768 1769 1856 1885 1952 1972 2000 2074 2080 2125 2176 2210 2312 2320 2440 2465 2600 2720 2890 2900 3016 3050 3172 3200 3250 3400 3536 3538 3625 3712 3757 3770 3904 3944 3965 4000 4148 4160 4250 4420 4624 4640 4880 4930 5185 5200 5440 5525 5780 5800 6032 6100 6344 6409 6500 6800 7072 7076 7225 7250 7514 7540 7625 7808 7888 7930 8000 8296 8320 8381 8500 8840 8845 9248 9280 9425 9760 9860 10370 10400 10880 11050 11560 11600 12064 12200 12325 12688 12818 13000 13481 13600 14144 14152 14450 14500 15028 15080 15250 15776 15860 16000 16592 16762 17000 17629 17680 17690 18496 18560 18785 18850 19520 19720 19825 20740 20800 22100 22997 23120 23200 24128 24400 24650 25376 25636 25925 26000 26962 27200 27625 28288 28304 28900 29000 30056 30073 30160 30500 31552 31720 32045 33184 33524 34000 35258 35360 35380 36125 36992 37570 37700 39040 39440 39650 41480 41600 41905 44200 44225 45994 46240 46400 47125 48256 48800 49300 50752 51272 51850 52000 53924 54400 55250 56608 57800 58000 60112 60146 60320 61000 61625 63104 63440 64090 66368 67048 67405 68000 70516 70720 70760 72250 75140 75400 78880 79300 82960 83810 88145 88400 88450 91988 92480 92800 93925 94250 97600 98600 99125 101504 102544 103700 104000 107848 108953 110500 113216 114985 115600 116000 120224 120292 120640 122000 123250 126880 128180 129625 132736 134096 134810 136000 141032 141440 141520 144500 150280 150365 150800 157760 158600 160225 165920 167620 176290 176800 176900 183976 184960 187850 188500 195200 197200 198250 205088 207400 208000 209525 215696 217906 221000 221125 226432 229177 229970 231200 232000 240448 240584 241280 244000 246500 253760 256360 259250 268192 269620 272000 282064 283040 289000 300560 300730 301600 315520 317200 320450 331840 335240 337025 352580 353600 353800 367952 375700 377000 390949 394400 396500 410176 414800 419050 431392 435812 440725 442000 442250 458354 459940 462400 464000 469625 480896 481168 488000 493000 507520 511241 512720 518500 536384 539240 544765 564128 566080 574925 578000 601120 601460 603200 634400 640900 663680 670480 674050 705160 707200 707600 735904 751400 751825 754000 781898 788800 793000 801125 820352 829600 838100 862784 871624 881450 884000 884500 916708 919880 924800 939250 962336 976000 986000 1022482 1025440 1037000 1047625 1072768 1078480 1089530 1128256 1132160 1145885 1149850 1156000 1202240 1202920 1206400 1268800 1281800 1340960 1348100 1410320 1415200 1471808 1502800 1503650 1508000 1563796 1577600 1586000 1602250 1659200 1676200 1685125 1725568 1743248 1762900 1768000 1769000 1833416 1839760 1878500 1924672 1954745 1972000 2044964 2050880 2074000 2095250 2156960 2179060 2203625 2256512 2291770 2299700 2312000 2404480 2405840 2537600 2556205 2563600 2681920 2696200 2723825 2820640 2830400 2874625 2943616 3005600 3007300 3016000 3127592 3172000 3204500 3318400 3352400 3370250 3486496 3525800 3536000 3538000 3666832 3679520 3757000 3759125 3849344 3909490 3944000 4089928 4101760 4148000 4190500 4313920 4358120 4407250 4583540 4599400 4624000 4811680 5112410 5127200 5363840 5392400 5447650 5641280 5660800 5729425 5749250 6011200 6014600 6032000 6255184 6344000 6409000 6646133 6704800 6740500 6972992 7051600 7076000 7333664 7359040 7514000 7518250 7818980 7888000 8179856 8296000 8381000 8627840 8716240 8814500 9167080 9198800 9623360 9773725 10224820 10254400 10784800 10895300 11282560 11458850 11498500 12022400 12029200 12510368 12688000 12781025 12818000 13292266 13409600 13481000 13619125 13945984 14103200 14152000 14667328 14718080 15028000 15036500 15637960 16359712 16592000 16762000 17432480 17629000 18334160 18397600 19246720 19547450 20449640 20508800 21569600 21790600 22917700 22997000 24058400 25020736 25562050 25636000 26584532 26819200 26962000 27238250 28206400 28304000 28647125 29334656 30056000 30073000 31275920 32719424 33230665 33524000 34864960 35258000 36668320 36795200 39094900 40899280 43139200 43581200 45835400 45994000 48116800 48868625 50041472 51124100 51272000 53169064 53924000 54476500 56412800 57294250 60112000 60146000 62551840 63905125 65438848 66461330 67048000 69729920 70516000 73336640 73590400 78189800 81798560 87162400 91670800 91988000 96233600 97737250 102248200 102544000 106338128 107848000 108953000 114588500 120292000 125103680 127810250 132922660 134096000 141032000 146673280 156379600 163597120 166153325 174324800 183341600 183976000 195474500 204496400 212676256 215696000 217906000 229177000 240584000 250207360 255620500 265845320 282064000 312759200 327194240 332306650 348649600 366683200 367952000 390949000 408992800 425352512 435812000 458354000 481168000 511241000 531690640 625518400 664613300 733366400 781898000 817985600 830766625 850705024 871624000 916708000 1022482000 1063381280 1251036800 1329226600 1563796000 1635971200 1661533250 1743248000 1833416000 2044964000 2126762560 2658453200 3127592000 3323066500 3666832000 4089928000 4253525120 5316906400 6255184000 6646133000 8179856000 10633812800 13292266000 21267625600 26584532000 53169064000 106338128000
- Sum of all divisors σ(n): 318012458400
- Sum of proper divisors (its aliquot sum) s(n): 211674330400
- 106338128000 is an abundant number, because the sum of its proper divisors (211674330400) is greater than itself. Its abundance is 105336202400
Bases of 106338128000
- Binary: 11000110000100011111100010000100000002
- Hexadecimal: 0x18C23F1080
- Base-36: 1CUMZ4OW
Squares and roots of 106338128000
- 106338128000 squared (1063381280002) is 11307797466544384000000
- 106338128000 cubed (1063381280003) is 1202450014395472423473152000000000
-
The
square root of 106338128000 is 326095.2744214487 -
The
cube root of 106338128000 is 4737.6503276559
Scales and comparisons
How big is 106338128000?- 106,338,128,000 seconds is equal to 3,381 years, 11 weeks, 4 days, 8 hours, 53 minutes, 20 seconds.
-
To count from 1 to 106,338,128,000 would take you about six thousand, seven hundred sixty-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 106338128000 cubic inches would be around 394.8 feet tall.
Recreational maths with 106338128000
- 106338128000 backwards is 000821833601
- 106338128000 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 106338128000's digits is 32
- More coming soon!
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The information we have on file for 106338128000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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