138520044748800000
138,520,044,748,800,000 is an even composite number composed of eight prime numbers multiplied together.
138520044748800000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of fifteen thousand, five hundred fifty-two divisors.
Prime factorization of 138520044748800000:
217 × 32 × 55 × 11 × 132 × 17 × 29 × 41
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 11 × 13 × 13 × 17 × 29 × 41)See below for interesting mathematical facts about the number 138520044748800000 from the Numbermatics database.
Names of 138520044748800000
- Cardinal: 138520044748800000 can be written as One hundred thirty-eight quadrillion, five hundred twenty trillion, forty-four billion, seven hundred forty-eight million, eight hundred thousand.
Scientific notation
- Scientific notation: 1.385200447488 × 1017
Factors of 138520044748800000
Divisors of 138520044748800000
- Number of divisors d(n): 15552
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 17 18 20 22 24 25 26 29 30 32 33 34 36 39 40 41 44 45 48 50 51 52 55 58 60 64 65 66 68 72 75 78 80 82 85 87 88 90 96 99 100 102 104 110 116 117 120 123 125 128 130 132 136 143 144 145 150 153 156 160 164 165 169 170 174 176 180 187 192 195 198 200 204 205 208 220 221 225 232 234 240 246 250 255 256 260 261 264 272 275 286 288 290 300 306 312 319 320 325 328 330 338 340 348 352 360 369 374 375 377 384 390 396 400 408 410 416 425 429 435 440 442 450 451 464 468 480 492 493 495 500 507 510 512 520 522 528 533 544 550 561 572 576 580 585 600 612 615 624 625 638 640 650 656 660 663 676 680 696 697 704 715 720 725 738 748 750 754 765 768 780 792 800 816 820 825 832 845 850 858 870 880 884 900 902 928 935 936 957 960 975 984 986 990 1000 1014 1020 1024 1025 1040 1044 1056 1066 1088 1100 1105 1122 1125 1131 1144 1152 1160 1170 1189 1200 1224 1230 1248 1250 1275 1276 1280 1287 1300 1305 1312 1320 1326 1352 1353 1360 1375 1392 1394 1408 1430 1440 1450 1476 1479 1496 1500 1508 1521 1530 1536 1560 1584 1595 1599 1600 1625 1632 1640 1650 1664 1683 1690 1700 1716 1740 1760 1768 1800 1804 1845 1856 1859 1870 1872 1875 1885 1914 1920 1950 1968 1972 1980 1989 2000 2028 2040 2048 2050 2080 2088 2091 2112 2125 2132 2145 2175 2176 2200 2210 2244 2250 2255 2262 2288 2304 2320 2340 2378 2400 2431 2448 2460 2465 2475 2496 2500 2535 2550 2552 2560 2574 2600 2610 2624 2640 2652 2665 2704 2706 2720 2750 2784 2788 2805 2816 2860 2871 2873 2880 2900 2925 2952 2958 2992 3000 3016 3042 3060 3072 3075 3120 3125 3168 3190 3198 3200 3250 3264 3280 3300 3315 3328 3366 3380 3393 3400 3432 3480 3485 3520 3536 3567 3575 3600 3608 3625 3690 3712 3718 3740 3744 3750 3770 3825 3828 3840 3900 3936 3944 3960 3978 4000 4056 4059 4080 4096 4100 4125 4147 4160 4176 4182 4224 4225 4250 4264 4290 4350 4352 4400 4420 4437 4488 4500 4510 4524 4576 4608 4640 4675 4680 4756 4785 4797 4800 4862 4875 4896 4901 4920 4930 4950 4992 5000 5070 5100 5104 5120 5125 5148 5200 5220 5248 5280 5304 5330 5408 5412 5423 5440 5500 5525 5568 5576 5577 5610 5625 5632 5655 5720 5742 5746 5760 5800 5850 5863 5904 5916 5945 5984 6000 6032 6084 6120 6144 6150 6240 6250 6273 6336 6375 6380 6396 6400 6409 6435 6500 6525 6528 6560 6600 6630 6656 6732 6760 6765 6786 6800 6864 6875 6929 6960 6970 7040 7072 7134 7150 7200 7216 7250 7293 7380 7395 7424 7436 7480 7488 7500 7540 7605 7650 7656 7667 7680 7800 7872 7888 7920 7956 7975 7995 8000 8112 8118 8125 8160 8192 8200 8250 8294 8320 8352 8364 8415 8448 8450 8500 8528 8580 8619 8700 8704 8800 8840 8874 8976 9000 9020 9048 9061 9152 9216 9225 9280 9295 9350 9360 9375 9425 9512 9570 9594 9600 9724 9750 9792 9802 9840 9860 9900 9945 9984 10000 10140 10200 10208 10240 10250 10296 10400 10440 10455 10496 10560 10608 10625 10660 10701 10725 10816 10824 10846 10875 10880 11000 11050 11136 11152 11154 11220 11250 11264 11275 11310 11440 11484 11492 11520 11600 11700 11726 11808 11832 11890 11968 12000 12064 12155 12168 12240 12288 12300 12325 12375 12441 12480 12500 12546 12672 12675 12750 12760 12792 12800 12818 12870 13000 13050 13056 13079 13120 13200 13260 13312 13325 13464 13520 13530 13572 13600 13728 13750 13858 13920 13940 14025 14080 14144 14268 14300 14355 14365 14400 14432 14500 14586 14625 14703 14760 14790 14848 14872 14960 14976 15000 15080 15210 15300 15312 15334 15360 15375 15457 15600 15744 15776 15840 15912 15950 15990 16000 16224 16236 16250 16269 16320 16384 16400 16500 16575 16588 16640 16704 16728 16731 16830 16896 16900 16965 17000 17056 17160 17238 17400 17408 17425 17589 17600 17680 17748 17835 17875 17952 18000 18040 18096 18122 18125 18304 18432 18450 18560 18590 18700 18720 18750 18850 19024 19125 19140 19188 19200 19227 19448 19500 19584 19604 19680 19720 19800 19890 19968 20000 20213 20280 20295 20400 20416 20480 20500 20592 20625 20735 20787 20800 20880 20910 20992 21120 21125 21216 21250 21320 21402 21450 21632 21648 21692 21750 21760 21879 22000 22100 22185 22272 22304 22308 22440 22500 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90610 90625 91520 91872 91936 92004 92160 92250 92742 92800 92950 93500 93600 93808 94250 94464 94656 94809 95120 95625 95700 95744 95940 96000 96135 96512 97240 97344 97500 97614 97920 98020 98304 98400 98600 99000 99450 99528 99671 99840 100000 100368 101065 101376 101400 101475 102000 102080 102336 102400 102500 102544 102960 103125 103428 103675 103935 104000 104400 104448 104550 104632 104960 105534 105600 105625 106080 106250 106496 106600 107010 107250 107712 107822 108160 108240 108460 108576 108732 108750 108800 109395 109824 110000 110500 110864 110925 111360 111520 111540 112200 112500 112640 112750 113100 113152 114144 114400 114840 114920 115005 115200 115362 115456 116000 116688 116875 117000 117260 117624 117711 117793 118080 118320 118784 118900 118976 119625 119680 119808 119925 120000 120640 121278 121550 121680 121875 122400 122496 122525 122672 122880 123000 123250 123656 123750 124410 124722 124800 125460 125952 126208 126412 126720 126750 127296 127500 127600 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- Sum of all divisors σ(n): 662962925842701120
- Sum of proper divisors (its aliquot sum) s(n): 524442881093901120
- 138520044748800000 is an abundant number, because the sum of its proper divisors (524442881093901120) is greater than itself. Its abundance is 385922836345101120
Bases of 138520044748800000
- Binary: 1111011000001111100111111001011011000011000000000000000002
- Hexadecimal: 0x1EC1F3F2D860000
- Base-36: 11VX9A29V5S0
Squares and roots of 138520044748800000
- 138520044748800000 squared (1385200447488000002) is 19187802797209554455101440000000000
- 138520044748800000 cubed (1385200447488000003) is 2657895302100617294891561869243318272000000000000000
-
The
square root of 138520044748800000 is 372182810.9260286621 -
The
cube root of 138520044748800000 is 517413.2441076711
Scales and comparisons
How big is 138520044748800000?- 138,520,044,748,800,000 seconds is equal to 4,404,508,952 years, 19 weeks, 5 days, 16 hours.
-
To count from 1 to 138,520,044,748,800,000 would take you about thirteen billion, two hundred thirteen million, five hundred twenty-six thousand, eight hundred fifty-seven 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 138520044748800000 cubic inches would be around 43117.8 feet tall.
Recreational maths with 138520044748800000
- 138520044748800000 backwards is 000008847440025831
- The number of decimal digits it has is: 18
- The sum of 138520044748800000's digits is 54
- More coming soon!
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Numbermatics. (2024). Number 138520044748800000 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/138520044748800000/
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The information we have on file for 138520044748800000 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!
Keywords: Divisors of 138520044748800000, math, Factors of 138520044748800000, curriculum, school, college, exams, university, Prime factorization of 138520044748800000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, five hundred twenty trillion, forty-four billion, seven hundred forty-eight million, eight hundred thousand.