40106398640000
40,106,398,640,000 is an even composite number composed of seven prime numbers multiplied together.
40106398640000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 40106398640000:
27 × 54 × 7 × 112 × 17 × 37 × 941
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 7 × 11 × 11 × 17 × 37 × 941)See below for interesting mathematical facts about the number 40106398640000 from the Numbermatics database.
Names of 40106398640000
- Cardinal: 40106398640000 can be written as Forty trillion, one hundred six billion, three hundred ninety-eight million, six hundred forty thousand.
Scientific notation
- Scientific notation: 4.010639864 × 1013
Factors of 40106398640000
Divisors of 40106398640000
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 17 20 22 25 28 32 34 35 37 40 44 50 55 56 64 68 70 74 77 80 85 88 100 110 112 119 121 125 128 136 140 148 154 160 170 175 176 185 187 200 220 224 238 242 250 259 272 275 280 296 308 320 340 350 352 370 374 385 400 407 425 440 448 476 484 500 518 544 550 560 592 595 605 616 625 629 640 680 700 704 740 748 770 800 814 847 850 875 880 896 925 935 941 952 968 1000 1036 1088 1100 1120 1184 1190 1210 1232 1250 1258 1295 1309 1360 1375 1400 1408 1480 1496 1540 1600 1628 1694 1700 1750 1760 1850 1870 1882 1904 1925 1936 2000 2035 2057 2072 2125 2176 2200 2240 2368 2380 2420 2464 2500 2516 2590 2618 2720 2750 2800 2849 2960 2975 2992 3025 3080 3145 3200 3256 3388 3400 3500 3520 3700 3740 3764 3808 3850 3872 4000 4070 4114 4144 4235 4250 4375 4400 4403 4477 4480 4625 4675 4705 4736 4760 4840 4928 5000 5032 5180 5236 5440 5500 5600 5698 5920 5950 5984 6050 6160 6290 6475 6512 6545 6587 6776 6800 6875 6919 7000 7040 7400 7480 7528 7616 7700 7744 8000 8140 8228 8288 8470 8500 8750 8800 8806 8954 9250 9350 9410 9520 9625 9680 9856 10000 10064 10175 10285 10351 10360 10472 10625 10880 11000 11200 11396 11840 11900 11968 12100 12320 12580 12950 13024 13090 13174 13552 13600 13750 13838 14000 14245 14399 14800 14875 14960 15056 15125 15232 15400 15488 15725 15997 16000 16280 16456 16576 16940 17000 17500 17600 17612 17908 18500 18700 18820 19040 19250 19360 20000 20128 20350 20570 20702 20720 20944 21175 21250 22000 22015 22385 22400 22792 23125 23375 23525 23680 23800 23936 24200 24640 25160 25900 26048 26180 26348 27104 27200 27500 27676 28000 28490 28798 29600 29750 29920 30112 30250 30800 31339 31450 31994 32375 32560 32725 32912 32935 33152 33880 34000 34595 34817 35000 35200 35224 35816 37000 37400 37640 38080 38500 38720 40000 40256 40700 41140 41404 41440 41888 42350 42500 44000 44030 44770 45584 46250 46750 47050 47600 48125 48400 48433 49280 50320 50875 51425 51755 51800 52096 52360 52696 54208 54400 55000 55352 56000 56980 57596 59200 59500 59840 60224 60500 61600 62678 62900 63988 64750 65120 65450 65824 65870 67760 68000 69190 69634 70000 70448 71225 71632 71995 72457 74000 74375 74800 75280 75625 76109 76160 77000 77440 78625 79985 80000 80512 81400 82280 82808 82880 83776 84700 85000 88000 88060 89540 91168 92500 93500 94100 95200 96250 96800 96866 100640 101750 102850 103510 103600 104720 105392 105875 108416 110000 110075 110704 111925 111979 112000 113861 113960 115192 116875 117625 118400 119000 119680 120448 121000 123200 125356 125800 127976 129500 130240 130900 131648 131740 135520 136000 138380 139268 140000 140896 142450 143264 143990 144914 148000 148750 149600 150560 151250 152218 154000 156695 157250 159970 161875 162800 163625 164560 164675 165616 165760 167552 169400 170000 172975 174085 175967 176000 176120 179080 182336 185000 187000 188200 190400 192500 193600 193732 201280 203500 205700 207020 207200 209440 210784 211750 220000 220150 221408 223850 223958 227722 227920 230384 233750 235250 238000 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89523211250 91150906000 94367996800 98541520000 100265996600 104172464000 107236360000 108395672000 113938632500 114589710400 117959996000 125332495750 130215580000 135494590000 143237138000 145841449600 147449995000 154850960000 160425594560 165728920000 168514280000 179046422500 182301812000 200531993200 214472720000 216791344000 227877265000 229179420800 235919992000 250664991500 260431160000 270989180000 286474276000 294899990000 313331239375 320851189120 331457840000 337028560000 358092845000 364603624000 401063986400 455754530000 471839984000 501329983000 520862320000 541978360000 572948552000 589799980000 626662478750 716185690000 729207248000 802127972800 911509060000 1002659966000 1083956720000 1145897104000 1179599960000 1253324957500 1432371380000 1604255945600 1823018120000 2005319932000 2359199920000 2506649915000 2864742760000 3646036240000 4010639864000 5013299830000 5729485520000 8021279728000 10026599660000 20053199320000 40106398640000
- Sum of all divisors σ(n): 136533695981760
- Sum of proper divisors (its aliquot sum) s(n): 96427297341760
- 40106398640000 is an abundant number, because the sum of its proper divisors (96427297341760) is greater than itself. Its abundance is 56320898701760
Bases of 40106398640000
- Binary: 10010001111001111111111010010011100111100000002
- Hexadecimal: 0x2479FFA4E780
- Base-36: E7SMI8EWW
Squares and roots of 40106398640000
- 40106398640000 squared (401063986400002) is 1608523211870593849600000000
- 40106398640000 cubed (401063986400003) is 64512073156975217025589804544000000000000
-
The
square root of 40106398640000 is 6332961.2852124715 -
The
cube root of 40106398640000 is 34229.8152728403
Scales and comparisons
How big is 40106398640000?- 40,106,398,640,000 seconds is equal to 1,275,259 years, 21 weeks, 5 days, 16 hours, 53 minutes, 20 seconds.
-
To count from 1 to 40,106,398,640,000 would take you about three million, one hundred eighty-eight thousand, one hundred forty-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 40106398640000 cubic inches would be around 2852.5 feet tall.
Recreational maths with 40106398640000
- 40106398640000 backwards is 00004689360104
- The number of decimal digits it has is: 14
- The sum of 40106398640000's digits is 41
- More coming soon!
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The information we have on file for 40106398640000 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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