40638997234291456
40,638,997,234,291,456 is an even composite number composed of six prime numbers multiplied together.
What does the number 40638997234291456 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1944 divisors.
40638997234291456 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, nine hundred forty-four divisors.
Prime factorization of 40638997234291456:
28 × 73 × 112 × 13 × 172 × 10092
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 7 × 11 × 11 × 13 × 17 × 17 × 1009 × 1009)See below for interesting mathematical facts about the number 40638997234291456 from the Numbermatics database.
Names of 40638997234291456
- Cardinal: 40638997234291456 can be written as Forty quadrillion, six hundred thirty-eight trillion, nine hundred ninety-seven billion, two hundred thirty-four million, two hundred ninety-one thousand, four hundred fifty-six.
Scientific notation
- Scientific notation: 4.0638997234291456 × 1016
Factors of 40638997234291456
Divisors of 40638997234291456
- Number of divisors d(n): 1944
-
Complete list of divisors:
1 2 4 7 8 11 13 14 16 17 22 26 28 32 34 44 49 52 56 64 68 77 88 91 98 104 112 119 121 128 136 143 154 176 182 187 196 208 221 224 238 242 256 272 286 289 308 343 352 364 374 392 416 442 448 476 484 539 544 572 578 616 637 686 704 728 748 784 832 833 847 884 896 952 968 1001 1009 1078 1088 1144 1156 1232 1274 1309 1372 1408 1456 1496 1547 1568 1573 1664 1666 1694 1768 1792 1904 1936 2002 2018 2023 2057 2156 2176 2288 2312 2431 2464 2548 2618 2744 2816 2912 2992 3094 3136 3146 3179 3328 3332 3388 3536 3757 3773 3808 3872 4004 4036 4046 4114 4312 4352 4459 4576 4624 4862 4928 5096 5236 5488 5824 5831 5929 5984 6188 6272 6292 6358 6664 6776 7007 7063 7072 7514 7546 7616 7744 8008 8072 8092 8228 8624 8918 9152 9163 9248 9724 9856 10192 10472 10829 10976 11011 11099 11648 11662 11858 11968 12376 12544 12584 12716 13117 13328 13552 14014 14126 14144 14161 14399 15028 15092 15232 15488 16016 16144 16184 16456 17017 17153 17248 17836 18304 18326 18496 19448 19712 20384 20944 21658 21952 22022 22198 22253 23296 23324 23716 23936 24752 25168 25432 26234 26299 26656 26741 27104 28028 28252 28288 28322 28798 30056 30184 30464 30976 32032 32288 32368 32912 34034 34306 34496 34969 35672 36608 36652 36992 38896 40768 41327 41503 41888 43316 43904 44044 44396 44506 46648 47432 47872 49049 49441 49504 50336 50864 52468 52598 53312 53482 54208 56056 56504 56576 56644 57596 60112 60368 64064 64141 64576 64736 65824 68068 68612 68992 69938 71344 73304 73984 75803 77077 77693 77792 81536 82654 83006 83776 86632 87808 88088 88792 89012 91819 93296 94864 98098 98882 99008 99127 100672 100793 101728 104936 105196 106624 106964 108416 112112 113008 113288 115192 119119 120071 120224 120736 122089 128128 128282 129152 129472 131648 136136 137224 137984 139876 142688 144287 146608 151606 154154 155386 155584 155771 163072 165308 166012 167552 173264 176176 177584 178024 183638 184093 186592 187187 188683 189728 196196 197764 198016 198254 201344 201586 203456 209872 210392 213248 213928 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3126076710330112 3694454294026496 5079874654286432 5805571033470208 10159749308572864 20319498617145728 40638997234291456
- Sum of all divisors σ(n): 119072620023453600
- Sum of proper divisors (its aliquot sum) s(n): 78433622789162144
- 40638997234291456 is an abundant number, because the sum of its proper divisors (78433622789162144) is greater than itself. Its abundance is 37794625554870688
Bases of 40638997234291456
- Binary: 100100000110000011110011111000100010110110010011000000002
- Hexadecimal: 0x9060F3E22D9300
- Base-36: B45BLLHHDDS
Squares and roots of 40638997234291456
- 40638997234291456 squared (406389972342914562) is 1651528096208748609911750354599936
- 40638997234291456 cubed (406389972342914563) is 67116445734181968417613584679535757391927302946816
-
The
square root of 40638997234291456 is 201591163.5818679827 -
The
cube root of 40638997234291456 is 343806.6935911059
Scales and comparisons
How big is 40638997234291456?- 40,638,997,234,291,456 seconds is equal to 1,292,194,407 years, 19 weeks, 4 days, 18 hours, 44 minutes, 16 seconds.
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To count from 1 to 40,638,997,234,291,456 would take you about three billion, eight hundred seventy-six million, five hundred eighty-three thousand, two hundred twenty-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 40638997234291456 cubic inches would be around 28650.6 feet tall.
Recreational maths with 40638997234291456
- 40638997234291456 backwards is 65419243279983604
- The number of decimal digits it has is: 17
- The sum of 40638997234291456's digits is 82
- More coming soon!
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The information we have on file for 40638997234291456 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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