100742140708864000
100,742,140,708,864,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 100742140708864000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2160 divisors.
100742140708864000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 100742140708864000:
214 × 53 × 172 × 61 × 1272 × 173
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 17 × 17 × 61 × 127 × 127 × 173)See below for interesting mathematical facts about the number 100742140708864000 from the Numbermatics database.
Names of 100742140708864000
- Cardinal: 100742140708864000 can be written as One hundred quadrillion, seven hundred forty-two trillion, one hundred forty billion, seven hundred eight million, eight hundred sixty-four thousand.
Scientific notation
- Scientific notation: 1.00742140708864 × 1017
Factors of 100742140708864000
Divisors of 100742140708864000
- Number of divisors d(n): 2160
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Complete list of divisors:
1 2 4 5 8 10 16 17 20 25 32 34 40 50 61 64 68 80 85 100 122 125 127 128 136 160 170 173 200 244 250 254 256 272 289 305 320 340 346 400 425 488 500 508 512 544 578 610 635 640 680 692 800 850 865 976 1000 1016 1024 1037 1088 1156 1220 1270 1280 1360 1384 1445 1525 1600 1700 1730 1952 2000 2032 2048 2074 2125 2159 2176 2312 2440 2540 2560 2720 2768 2890 2941 3050 3175 3200 3400 3460 3904 4000 4064 4096 4148 4250 4318 4325 4352 4624 4880 5080 5120 5185 5440 5536 5780 5882 6100 6350 6400 6800 6920 7225 7625 7747 7808 8000 8128 8192 8296 8500 8636 8650 8704 9248 9760 10160 10240 10370 10553 10795 10880 11072 11560 11764 12200 12700 12800 13600 13840 14450 14705 15250 15494 15616 15875 16000 16129 16256 16384 16592 17000 17272 17300 17408 17629 18496 19520 20320 20480 20740 21106 21590 21625 21760 21971 22144 23120 23528 24400 25400 25600 25925 27200 27680 28900 29410 30500 30988 31232 31750 32000 32258 32512 33184 34000 34544 34600 34816 35258 36125 36703 36992 38735 39040 40640 40960 41480 42212 43180 43250 43520 43942 44288 46240 47056 48800 49997 50800 51200 51850 52765 53975 54400 55360 57800 58820 61000 61976 62464 63500 64000 64516 65024 66368 68000 69088 69200 69632 70516 72250 73406 73525 73984 77470 78080 80645 81280 81920 82960 84424 86360 86500 87040 87884 88145 88576 92480 94112 97600 99994 101600 102400 103700 105530 107950 108800 109855 110720 115600 117640 122000 123952 124928 127000 128000 129032 129625 130048 131699 132736 136000 138176 138400 139264 141032 144500 146812 147050 147968 154940 156160 161290 162560 165920 168848 172720 173000 174080 175768 176290 177152 179401 183515 184960 188224 193675 195200 199988 203200 204800 207400 211060 215900 217600 219710 221440 231200 235280 244000 247904 249856 249985 254000 256000 258064 259250 260096 263398 263825 265472 269875 272000 274193 276352 276800 278528 282064 289000 293624 294100 295936 309880 312320 322580 325120 331840 337696 345440 346000 348160 351536 352580 354304 358802 367030 367625 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19831130060800 20643881292800 21786795136000 23148469832000 23292980510720 23330741248000 23704033107968 24286919168000 24595249196500 24788912576000 25185535177216 25804851616000 29116225638400 29630041384960 31481918971520 31729808097280 33030210068480 34254383104000 34858872217600 36395282048000 37037551731200 39352398714400 39662260121600 41287762585600 43573590272000 46296939664000 46661482496000 47408066215936 48573838336000 49190498393000 49577825152000 50371070354432 51609703232000 58232451276800 59260082769920 62963837943040 66060420136960 69717744435200 72790564096000 74075103462400 78704797428800 79324520243200 82575525171200 87147180544000 92593879328000 97147676672000 98380996786000 99155650304000 100742140708864 103219406464000 116464902553600 118520165539840 125927675886080 145581128192000 148150206924800 157409594857600 158649040486400 165151050342400 174294361088000 185187758656000 196761993572000 198311300608000 201484281417728 206438812928000 237040331079680 251855351772160 291162256384000 296300413849600 314819189715200 330302100684800 348588722176000 370375517312000 393523987144000 396622601216000 402968562835456 412877625856000 503710703544320 582324512768000 592600827699200 629638379430400 740751034624000 787047974288000 793245202432000 805937125670912 825755251712000 1007421407088640 1185201655398400 1259276758860800 1481502069248000 1574095948576000 1651510503424000 2014842814177280 2518553517721600 2963004138496000 3148191897152000 4029685628354560 5037107035443200 5926008276992000 6296383794304000 10074214070886400 12592767588608000 20148428141772800 25185535177216000 50371070354432000 100742140708864000
- Sum of all divisors σ(n): 275220638769336624
- Sum of proper divisors (its aliquot sum) s(n): 174478498060472624
- 100742140708864000 is an abundant number, because the sum of its proper divisors (174478498060472624) is greater than itself. Its abundance is 73736357351608624
Bases of 100742140708864000
- Binary: 1011001011110100001110001011101101101110101000000000000002
- Hexadecimal: 0x165E87176DD4000
- Base-36: RJY3WJ92CCG
Squares and roots of 100742140708864000
- 100742140708864000 squared (1007421407088640002) is 10148978914604553160408170496000000
- 100742140708864000 cubed (1007421407088640003) is 1022429861866385728445524340751478810476544000000000
-
The
square root of 100742140708864000 is 317399024.4296034379 -
The
cube root of 100742140708864000 is 465304.2918452511
Scales and comparisons
How big is 100742140708864000?- 100,742,140,708,864,000 seconds is equal to 3,203,288,458 years, 33 weeks, 2 days, 4 hours, 26 minutes, 40 seconds.
-
To count from 1 to 100,742,140,708,864,000 would take you about nine billion, six hundred nine million, eight hundred sixty-five thousand, three 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 100742140708864000 cubic inches would be around 38775.4 feet tall.
Recreational maths with 100742140708864000
- 100742140708864000 backwards is 000468807041247001
- The number of decimal digits it has is: 18
- The sum of 100742140708864000's digits is 52
- More coming soon!
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The information we have on file for 100742140708864000 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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