42139878375628800
42,139,878,375,628,800 is an even composite number composed of five prime numbers multiplied together.
What does the number 42139878375628800 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1890 divisors.
42139878375628800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, eight hundred ninety divisors.
Prime factorization of 42139878375628800:
213 × 34 × 52 × 132 × 38772
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 13 × 13 × 3877 × 3877)See below for interesting mathematical facts about the number 42139878375628800 from the Numbermatics database.
Names of 42139878375628800
- Cardinal: 42139878375628800 can be written as Forty-two quadrillion, one hundred thirty-nine trillion, eight hundred seventy-eight billion, three hundred seventy-five million, six hundred twenty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 4.21398783756288 × 1016
Factors of 42139878375628800
Divisors of 42139878375628800
- Number of divisors d(n): 1890
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 30 32 36 39 40 45 48 50 52 54 60 64 65 72 75 78 80 81 90 96 100 104 108 117 120 128 130 135 144 150 156 160 162 169 180 192 195 200 208 216 225 234 240 256 260 270 288 300 312 320 324 325 338 351 360 384 390 400 405 416 432 450 468 480 507 512 520 540 576 585 600 624 640 648 650 675 676 702 720 768 780 800 810 832 845 864 900 936 960 975 1014 1024 1040 1053 1080 1152 1170 1200 1248 1280 1296 1300 1350 1352 1404 1440 1521 1536 1560 1600 1620 1664 1690 1728 1755 1800 1872 1920 1950 2025 2028 2048 2080 2106 2160 2304 2340 2400 2496 2535 2560 2592 2600 2700 2704 2808 2880 2925 3042 3072 3120 3200 3240 3328 3380 3456 3510 3600 3744 3840 3877 3900 4050 4056 4096 4160 4212 4225 4320 4563 4608 4680 4800 4992 5070 5120 5184 5200 5265 5400 5408 5616 5760 5850 6084 6144 6240 6400 6480 6656 6760 6912 7020 7200 7488 7605 7680 7754 7800 8100 8112 8192 8320 8424 8450 8640 8775 9126 9216 9360 9600 9984 10140 10240 10368 10400 10530 10800 10816 11232 11520 11631 11700 12168 12288 12480 12675 12800 12960 13312 13520 13689 13824 14040 14400 14976 15210 15360 15508 15600 16200 16224 16640 16848 16900 17280 17550 18252 18432 18720 19200 19385 19968 20280 20480 20736 20800 21060 21600 21632 22464 22815 23040 23262 23400 24336 24576 24960 25350 25600 25920 26325 26624 27040 27378 27648 28080 28800 29952 30420 30720 31016 31200 32400 32448 33280 33696 33800 34560 34893 35100 36504 36864 37440 38025 38400 38770 39936 40560 40960 41472 41600 42120 43200 43264 44928 45630 46080 46524 46800 48672 49920 50401 50700 51200 51840 52650 53248 54080 54756 55296 56160 57600 58155 59904 60840 61440 62032 62400 64800 64896 66560 67392 67600 68445 69120 69786 70200 73008 73728 74880 76050 76800 77540 79872 81120 82944 83200 84240 86400 86528 89856 91260 92160 93048 93600 96925 97344 99840 100802 101400 102400 103680 104679 105300 106496 108160 109512 110592 112320 114075 115200 116310 119808 121680 122880 124064 124800 129600 129792 133120 134784 135200 136890 138240 139572 140400 146016 149760 151203 152100 153600 155080 159744 162240 165888 166400 168480 172800 173056 174465 179712 182520 184320 186096 187200 193850 194688 199680 201604 202800 204800 207360 209358 210600 216320 219024 221184 224640 228150 230400 232620 239616 243360 248128 249600 252005 259200 259584 266240 269568 270400 273780 276480 279144 280800 290775 292032 299520 302406 304200 307200 310160 314037 319488 324480 331776 332800 336960 342225 345600 346112 348930 359424 365040 368640 372192 374400 387700 389376 399360 403208 405600 414720 418716 421200 432640 438048 449280 453609 456300 460800 465240 479232 486720 496256 499200 504010 518400 519168 523395 532480 539136 540800 547560 552960 558288 561600 581550 584064 599040 604812 608400 614400 620320 628074 648960 655213 663552 665600 673920 684450 691200 692224 697860 718848 730080 744384 748800 756015 775400 778752 798720 806416 811200 829440 837432 842400 865280 872325 876096 898560 907218 912600 921600 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52674847969536 54025485096960 54869633301600 58527608855040 60028316774400 62337098188800 62429449445376 64830582116352 65030676505600 65843559961920 67531856371200 70233130626048 72033980129280 73159511068800 78036811806720 81038227645440 82304449952400 83116130918400 87791413282560 90042475161600 93644174168064 97546014758400 101297784556800 104049082408960 105349695939072 108050970193920 109739266603200 117055217710080 120056633548800 124674196377600 129661164232704 130061353011200 131687119923840 135063712742400 140466261252096 146319022137600 156073623613440 162076455290880 164608899904800 175582826565120 180084950323200 187288348336128 195092029516800 202595569113600 210699391878144 216101940387840 219478533206400 234110435420160 249348392755200 260122706022400 263374239847680 270127425484800 280932522504192 292638044275200 312147247226880 324152910581760 329217799809600 351165653130240 360169900646400 390184059033600 405191138227200 421398783756288 438957066412800 468220870840320 520245412044800 526748479695360 540254850969600 561865045008384 585276088550400 648305821163520 658435599619200 702331306260480 780368118067200 810382276454400 842797567512576 877914132825600 936441741680640 1053496959390720 1080509701939200 1170552177100800 1316871199238400 1404662612520960 1560736236134400 1620764552908800 1685595135025152 1755828265651200 2106993918781440 2341104354201600 2633742398476800 2809325225041920 3241529105817600 3511656531302400 4213987837562880 4682208708403200 5267484796953600 7023313062604800 8427975675125760 10534969593907200 14046626125209600 21069939187814400 42139878375628800
- Sum of all divisors σ(n): 169081160420187873
- Sum of proper divisors (its aliquot sum) s(n): 126941282044559073
- 42139878375628800 is an abundant number, because the sum of its proper divisors (126941282044559073) is greater than itself. Its abundance is 84801403668930273
Bases of 42139878375628800
- Binary: 100101011011010111111111000000010111010100100000000000002
- Hexadecimal: 0x95B5FF01752000
- Base-36: BIXC8VHFK00
Squares and roots of 42139878375628800
- 42139878375628800 squared (421398783756288002) is 1775769349512787751669795389440000
- 42139878375628800 cubed (421398783756288003) is 74830704411638345129528521810387326700879872000000
-
The
square root of 42139878375628800 is 205279999.9406391271 -
The
cube root of 42139878375628800 is 347988.1265371039
Scales and comparisons
How big is 42139878375628800?- 42,139,878,375,628,800 seconds is equal to 1,339,917,785 years, 7 weeks, 3 days.
-
To count from 1 to 42,139,878,375,628,800 would take you about four billion, nineteen million, seven hundred fifty-three thousand, three hundred fifty-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 42139878375628800 cubic inches would be around 28999 feet tall.
Recreational maths with 42139878375628800
- 42139878375628800 backwards is 00882657387893124
- 42139878375628800 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 42139878375628800's digits is 81
- More coming soon!
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The information we have on file for 42139878375628800 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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