138518957767968000
138,518,957,767,968,000 is an even composite number composed of five prime numbers multiplied together.
138518957767968000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three thousand, seven hundred eighty divisors.
Prime factorization of 138518957767968000:
28 × 34 × 53 × 192 × 236
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 19 × 19 × 23 × 23 × 23 × 23 × 23 × 23)See below for interesting mathematical facts about the number 138518957767968000 from the Numbermatics database.
Names of 138518957767968000
- Cardinal: 138518957767968000 can be written as One hundred thirty-eight quadrillion, five hundred eighteen trillion, nine hundred fifty-seven billion, seven hundred sixty-seven million, nine hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 1.38518957767968 × 1017
Factors of 138518957767968000
Divisors of 138518957767968000
- Number of divisors d(n): 3780
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 23 24 25 27 30 32 36 38 40 45 46 48 50 54 57 60 64 69 72 75 76 80 81 90 92 95 96 100 108 114 115 120 125 128 135 138 144 150 152 160 162 171 180 184 190 192 200 207 216 225 228 230 240 250 256 270 276 285 288 300 304 320 324 342 345 360 361 368 375 380 384 400 405 414 432 437 450 456 460 475 480 500 513 529 540 552 570 575 576 600 608 621 640 648 675 684 690 720 722 736 750 760 768 800 810 828 855 864 874 900 912 920 950 960 1000 1026 1035 1058 1080 1083 1104 1125 1140 1150 1152 1200 1216 1242 1280 1296 1311 1350 1368 1380 1425 1440 1444 1472 1500 1520 1539 1587 1600 1620 1656 1710 1725 1728 1748 1800 1805 1824 1840 1863 1900 1920 2000 2025 2052 2070 2116 2160 2166 2185 2208 2250 2280 2300 2304 2375 2400 2432 2484 2565 2592 2622 2645 2700 2736 2760 2850 2875 2880 2888 2944 3000 3040 3078 3105 3174 3200 3240 3249 3312 3375 3420 3450 3456 3496 3600 3610 3648 3680 3726 3800 3840 3933 4000 4050 4104 4140 4232 4275 4320 4332 4370 4416 4500 4560 4600 4750 4761 4800 4864 4968 5130 5175 5184 5244 5290 5400 5415 5472 5520 5700 5750 5760 5776 5888 6000 6080 6156 6210 6348 6400 6480 6498 6555 6624 6750 6840 6900 6912 6992 7125 7200 7220 7296 7360 7452 7600 7695 7866 7935 8000 8100 8208 8280 8303 8464 8550 8625 8640 8664 8740 8832 9000 9025 9120 9200 9315 9500 9522 9600 9747 9936 10051 10125 10260 10350 10368 10488 10580 10800 10830 10925 10944 11040 11400 11500 11520 11552 11799 12000 12160 12167 12312 12420 12696 12825 12960 12996 13110 13225 13248 13500 13680 13800 13984 14250 14283 14400 14440 14592 14720 14904 15200 15390 15525 15732 15870 16000 16200 16245 16416 16560 16606 16928 17100 17250 17280 17328 17480 17664 18000 18050 18240 18400 18630 19000 19044 19200 19494 19665 19872 20102 20250 20520 20700 20736 20976 21160 21375 21600 21660 21850 21888 22080 22800 23000 23104 23598 23805 24000 24320 24334 24624 24840 24909 25392 25650 25875 25920 25992 26220 26450 26496 27000 27075 27360 27600 27968 28500 28566 28800 28880 29241 29440 29808 30153 30400 30780 31050 31464 31740 32000 32400 32490 32775 32832 33120 33212 33856 34200 34500 34560 34656 34960 35397 36000 36100 36480 36501 36800 37260 38000 38088 38475 38988 39330 39675 39744 40204 40500 41040 41400 41515 41952 42320 42750 42849 43200 43320 43700 43776 44160 45125 45600 46000 46208 46575 47196 47610 48000 48668 48735 49248 49680 49818 50255 50784 51300 51750 51840 51984 52440 52900 52992 54000 54150 54625 54720 55200 55936 57000 57132 57600 57760 58482 58995 59616 60306 60800 60835 61560 62100 62928 63480 64125 64800 64980 65550 65664 66125 66240 66424 67712 68400 69000 69312 69920 70794 71415 72000 72200 72960 73002 73600 74520 74727 76000 76176 76950 77625 77976 78660 79350 79488 80408 81000 81225 82080 82800 83030 83904 84640 85500 85698 86400 86640 87400 88320 90250 90459 91200 92000 92416 93150 94392 95220 96000 97336 97470 98325 98496 99360 99636 100510 101568 102600 103500 103680 103968 104880 105800 108000 108300 109250 109440 109503 110400 111872 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15390995307552000 17314869720996000 23086492961328000 27703791553593600 34629739441992000 46172985922656000 69259478883984000 138518957767968000
- Sum of all divisors σ(n): 568758651238365588
- Sum of proper divisors (its aliquot sum) s(n): 430239693470397588
- 138518957767968000 is an abundant number, because the sum of its proper divisors (430239693470397588) is greater than itself. Its abundance is 291720735702429588
Bases of 138518957767968000
- Binary: 1111011000001111001000010000110000110101011000101000000002
- Hexadecimal: 0x1EC1E42186AC500
- Base-36: 11VWVEPLJK00
Squares and roots of 138518957767968000
- 138518957767968000 squared (1385189577679680002) is 19187501661124102328526849024000000
- 138518957767968000 cubed (1385189577679680003) is 2657832732270065377798965090335055159263232000000000
-
The
square root of 138518957767968000 is 372181350.6450423961 -
The
cube root of 138518957767968000 is 517411.8907060733 - Being both a perfect square and a perfect cube, 138518957767968000 is also a
perfect sixth number .
Scales and comparisons
How big is 138518957767968000?- 138,518,957,767,968,000 seconds is equal to 4,404,474,389 years, 39 weeks, 1 day.
-
To count from 1 to 138,518,957,767,968,000 would take you about thirteen billion, two hundred thirteen million, four hundred twenty-three thousand, one hundred sixty-nine 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 138518957767968000 cubic inches would be around 43117.7 feet tall.
Recreational maths with 138518957767968000
- 138518957767968000 backwards is 000869767759815831
- 138518957767968000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138518957767968000's digits is 90
- More coming soon!
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The information we have on file for 138518957767968000 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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