38648345616000
38,648,345,616,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 38648345616000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2048 divisors.
38648345616000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand and forty-eight divisors.
Prime factorization of 38648345616000:
27 × 33 × 53 × 41 × 71 × 73 × 421
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 41 × 71 × 73 × 421)See below for interesting mathematical facts about the number 38648345616000 from the Numbermatics database.
Names of 38648345616000
- Cardinal: 38648345616000 can be written as Thirty-eight trillion, six hundred forty-eight billion, three hundred forty-five million, six hundred sixteen thousand.
Scientific notation
- Scientific notation: 3.8648345616 × 1013
Factors of 38648345616000
Divisors of 38648345616000
- Number of divisors d(n): 2048
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 41 45 48 50 54 60 64 71 72 73 75 80 82 90 96 100 108 120 123 125 128 135 142 144 146 150 160 164 180 192 200 205 213 216 219 225 240 246 250 270 284 288 292 300 320 328 355 360 365 369 375 384 400 410 421 426 432 438 450 480 492 500 540 568 576 584 600 615 639 640 656 657 675 710 720 730 738 750 800 820 842 852 864 876 900 960 984 1000 1025 1065 1080 1095 1107 1125 1136 1152 1168 1200 1230 1263 1278 1312 1314 1350 1420 1440 1460 1476 1500 1600 1640 1684 1704 1728 1752 1775 1800 1825 1845 1917 1920 1968 1971 2000 2050 2105 2130 2160 2190 2214 2250 2272 2336 2400 2460 2526 2556 2624 2628 2700 2840 2880 2911 2920 2952 2993 3000 3075 3195 3200 3280 3285 3368 3375 3408 3456 3504 3550 3600 3650 3690 3789 3834 3936 3942 4000 4100 4210 4260 4320 4380 4428 4500 4544 4672 4800 4920 5052 5112 5125 5183 5248 5256 5325 5400 5475 5535 5680 5760 5822 5840 5904 5986 6000 6150 6315 6390 6560 6570 6736 6750 6816 7008 7100 7200 7300 7380 7578 7668 7872 7884 8000 8200 8420 8520 8640 8733 8760 8856 8875 8979 9000 9088 9125 9225 9344 9585 9600 9840 9855 10104 10224 10250 10366 10512 10525 10650 10800 10950 11070 11360 11367 11644 11680 11808 11972 12000 12300 12630 12780 13120 13140 13472 13500 13632 14016 14200 14400 14555 14600 14760 14965 15156 15336 15375 15549 15744 15768 15975 16000 16400 16425 16840 17040 17261 17280 17466 17520 17712 17750 17958 18000 18250 18450 18945 19170 19680 19710 20208 20448 20500 20732 21024 21050 21300 21600 21900 22140 22720 22734 23288 23360 23616 23944 24000 24600 25260 25560 25915 26199 26240 26280 26625 26937 26944 27000 27264 27375 27675 28032 28400 28800 29110 29200 29520 29891 29930 30312 30672 30733 30750 31098 31536 31575 31950 32800 32850 33680 34080 34522 34932 35040 35424 35500 35916 36000 36500 36900 37890 38340 39360 39420 40416 40896 41000 41464 42048 42100 42600 43200 43665 43800 44280 44895 45440 45468 46125 46576 46647 46720 47232 47888 47925 48000 49200 49275 50520 51120 51783 51830 52398 52560 52625 53250 53874 53888 54000 54750 55350 56800 56835 58220 58400 59040 59782 59860 60624 61344 61466 61500 62196 63072 63150 63900 65600 65700 67360 68160 69044 69864 70080 70848 71000 71832 72000 72775 73000 73800 74825 75780 76680 77745 78597 78720 78840 79875 80811 80832 81792 82000 82125 82928 84096 84200 85200 86305 86400 87330 87600 88560 89673 89790 90936 92199 92250 93152 93294 94725 95776 95850 98400 98550 101040 102240 103566 103660 104796 105120 105250 106500 107748 108000 109500 110700 113600 113670 116440 116800 118080 119564 119720 121248 122688 122932 123000 124392 126144 126300 127800 129575 130995 131200 131400 134685 134720 136320 138088 138375 139728 139941 140160 141696 142000 143664 144000 145550 146000 147600 149455 149650 151560 153360 153665 155349 155490 157194 157680 157875 159750 161622 161664 164000 164250 165856 168400 170400 172610 174660 175200 177120 179346 179580 181872 184398 184500 186304 186588 189450 191552 191700 196800 197100 202080 204480 207132 207320 209592 210240 210500 212503 213000 215496 216000 218325 219000 221400 224475 227200 227340 232880 233235 233600 236160 239128 239440 239625 242496 245376 245864 246000 246375 248784 252288 252600 255600 258915 259150 261990 262800 269019 269370 269440 276176 276597 276750 279456 279882 284000 284175 287328 291100 292000 295200 298910 299300 303120 306720 307330 310698 310980 314388 315360 315750 319500 323244 328000 328500 331712 336800 340800 345220 349320 350400 354240 358692 359160 363744 363875 368796 369000 372608 373176 374125 378900 383104 383400 388725 392985 393600 394200 404055 404160 408960 414264 414640 419184 420480 421000 425006 426000 430992 431525 432000 436650 438000 442800 448365 448950 454680 460995 465760 466047 466470 473625 478256 478880 479250 484992 491728 492000 492750 497568 505200 511200 517830 518300 523980 525600 538038 538740 552352 553194 553500 558912 559764 568000 568350 574656 582200 584000 590400 597820 598600 606240 613440 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90723816000 91801296000 94264257600 96620864040 100646733375 103062254976 104738064000 105885878400 107356515600 108868579200 117830322000 120776080050 128827818720 132357348000 134195644500 136085724000 143142020800 154593382464 157107096000 161034773400 171770424960 176476464000 178927526000 181447632000 188528515200 193241728080 201293466750 214713031200 235660644000 241552160100 257655637440 264714696000 268391289000 272171448000 286284041600 301940200125 309186764928 314214192000 322069546800 357855052000 386483456160 402586933500 429426062400 471321288000 483104320200 515311274880 529429392000 536782578000 544342896000 603880400250 644139093600 715710104000 772966912320 805173867000 858852124800 942642576000 966208640400 1073565156000 1207760800500 1288278187200 1431420208000 1545933824640 1610347734000 1932417280800 2147130312000 2415521601000 2576556374400 3220695468000 3864834561600 4294260624000 4831043202000 6441390936000 7729669123200 9662086404000 12882781872000 19324172808000 38648345616000
- Sum of all divisors σ(n): 150262540646400
- Sum of proper divisors (its aliquot sum) s(n): 111614195030400
- 38648345616000 is an abundant number, because the sum of its proper divisors (111614195030400) is greater than itself. Its abundance is 72965849414400
Bases of 38648345616000
- Binary: 10001100100110100001001110100101011110100000002
- Hexadecimal: 0x232684E95E80
- Base-36: DP6SZ3XC0
Squares and roots of 38648345616000
- 38648345616000 squared (386483456160002) is 1493694618853786419456000000
- 38648345616000 cubed (386483456160003) is 57728825874220527309382634704896000000000
-
The
square root of 38648345616000 is 6216779.3604084099 -
The
cube root of 38648345616000 is 33809.8805235245
Scales and comparisons
How big is 38648345616000?- 38,648,345,616,000 seconds is equal to 1,228,897 years, 43 weeks, 6 days.
-
To count from 1 to 38,648,345,616,000 would take you about three million, seventy-two thousand, two hundred forty-four 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 38648345616000 cubic inches would be around 2817.5 feet tall.
Recreational maths with 38648345616000
- 38648345616000 backwards is 00061654384683
- 38648345616000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 38648345616000's digits is 54
- More coming soon!
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"Number 38648345616000 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
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Numbermatics. (2024). Number 38648345616000 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/38648345616000/
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The information we have on file for 38648345616000 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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