40748149728000000
40,748,149,728,000,000 is an even composite number composed of seven prime numbers multiplied together.
40748149728000000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of twelve thousand and ninety-six divisors.
Prime factorization of 40748149728000000:
211 × 32 × 56 × 113 × 132 × 17 × 37
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 5 × 11 × 11 × 11 × 13 × 13 × 17 × 37)See below for interesting mathematical facts about the number 40748149728000000 from the Numbermatics database.
Names of 40748149728000000
- Cardinal: 40748149728000000 can be written as Forty quadrillion, seven hundred forty-eight trillion, one hundred forty-nine billion, seven hundred twenty-eight million.
Scientific notation
- Scientific notation: 4.0748149728 × 1016
Factors of 40748149728000000
Divisors of 40748149728000000
- Number of divisors d(n): 12096
-
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 30 32 33 34 36 37 39 40 44 45 48 50 51 52 55 60 64 65 66 68 72 74 75 78 80 85 88 90 96 99 100 102 104 110 111 117 120 121 125 128 130 132 136 143 144 148 150 153 156 160 165 169 170 176 180 185 187 192 195 198 200 204 208 220 221 222 225 234 240 242 250 255 256 260 264 272 275 286 288 296 300 306 312 320 325 330 333 338 340 352 360 363 370 374 375 384 390 396 400 407 408 416 425 429 440 442 444 450 468 480 481 484 495 500 507 510 512 520 528 544 550 555 561 572 576 585 592 600 605 612 624 625 629 640 650 660 663 666 676 680 704 715 720 726 740 748 750 765 768 780 792 800 814 816 825 832 845 850 858 880 884 888 900 925 935 936 960 962 968 975 990 1000 1014 1020 1024 1040 1056 1088 1089 1100 1105 1110 1122 1125 1144 1152 1170 1184 1200 1210 1221 1224 1248 1250 1258 1275 1280 1287 1300 1320 1326 1331 1332 1352 1360 1375 1408 1430 1440 1443 1452 1480 1496 1500 1521 1530 1536 1560 1573 1584 1600 1625 1628 1632 1650 1664 1665 1683 1690 1700 1716 1760 1768 1776 1800 1815 1850 1859 1870 1872 1875 1887 1920 1924 1936 1950 1980 1989 2000 2028 2035 2040 2048 2057 2080 2112 2125 2145 2176 2178 2200 2210 2220 2244 2250 2288 2304 2340 2368 2400 2405 2420 2431 2442 2448 2475 2496 2500 2516 2535 2550 2560 2574 2600 2640 2652 2662 2664 2704 2720 2750 2775 2805 2816 2860 2873 2880 2886 2904 2925 2960 2992 3000 3025 3042 3060 3072 3120 3125 3145 3146 3168 3200 3250 3256 3264 3300 3315 3328 3330 3366 3380 3400 3432 3520 3536 3552 3575 3600 3630 3663 3700 3718 3740 3744 3750 3774 3825 3840 3848 3872 3900 3960 3978 3993 4000 4056 4070 4080 4114 4125 4160 4224 4225 4250 4290 4329 4352 4356 4400 4420 4440 4477 4488 4500 4576 4608 4625 4675 4680 4719 4736 4800 4810 4840 4862 4875 4884 4896 4950 4992 5000 5032 5070 5100 5120 5148 5200 5280 5291 5304 5324 5328 5408 5440 5445 5500 5525 5550 5577 5610 5625 5632 5661 5720 5746 5760 5772 5808 5850 5920 5984 6000 6050 6084 6105 6120 6144 6171 6240 6250 6253 6290 6292 6336 6375 6400 6435 6500 6512 6528 6600 6630 6655 6656 6660 6732 6760 6800 6864 6875 6919 7040 7072 7104 7150 7200 7215 7260 7293 7326 7400 7436 7480 7488 7500 7548 7605 7650 7680 7696 7744 7800 7865 7920 7956 7986 8000 8112 8125 8140 8160 8177 8228 8250 8320 8325 8415 8448 8450 8500 8580 8619 8658 8704 8712 8800 8840 8880 8954 8976 9000 9075 9152 9216 9250 9295 9350 9360 9375 9435 9438 9472 9600 9620 9680 9724 9750 9768 9792 9900 9945 9984 10000 10064 10140 10175 10200 10240 10285 10296 10400 10560 10582 10608 10625 10648 10656 10725 10816 10880 10890 11000 11050 11100 11154 11220 11250 11264 11322 11440 11492 11520 11544 11616 11700 11840 11968 11979 12000 12025 12100 12155 12168 12210 12240 12342 12375 12480 12500 12506 12580 12584 12672 12675 12750 12800 12870 13000 13024 13056 13200 13260 13310 13312 13320 13431 13464 13520 13600 13728 13750 13838 13875 14025 14080 14144 14157 14208 14300 14365 14400 14430 14520 14586 14625 14652 14800 14872 14960 14976 15000 15096 15125 15210 15300 15360 15392 15488 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- Sum of all divisors σ(n): 190532912688125280
- Sum of proper divisors (its aliquot sum) s(n): 149784762960125280
- 40748149728000000 is an abundant number, because the sum of its proper divisors (149784762960125280) is greater than itself. Its abundance is 109036613232125280
Bases of 40748149728000000
- Binary: 100100001100010000111001111011011100101010111000000000002
- Hexadecimal: 0x90C439EDCAB800
- Base-36: B580HK603K0
Squares and roots of 40748149728000000
- 40748149728000000 squared (407481497280000002) is 1660411706255506473984000000000000
- 40748149728000000 cubed (407481497280000003) is 67658704816623332026373368676352000000000000000000
-
The
square root of 40748149728000000 is 201861709.4151340035 -
The
cube root of 40748149728000000 is 344114.2291460085
Scales and comparisons
How big is 40748149728000000?- 40,748,149,728,000,000 seconds is equal to 1,295,665,119 years, 2 weeks, 3 days, 8 hours.
-
To count from 1 to 40,748,149,728,000,000 would take you about three billion, eight hundred eighty-six million, nine hundred ninety-five thousand, three 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 40748149728000000 cubic inches would be around 28676.2 feet tall.
Recreational maths with 40748149728000000
- 40748149728000000 backwards is 00000082794184704
- The number of decimal digits it has is: 17
- The sum of 40748149728000000's digits is 54
- More coming soon!
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"Number 40748149728000000 - Facts about the integer". Numbermatics.com. 2024. Web. 13 June 2024.
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Numbermatics. (2024). Number 40748149728000000 - Facts about the integer. Retrieved 13 June 2024, from https://numbermatics.com/n/40748149728000000/
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The information we have on file for 40748149728000000 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 40748149728000000, math, Factors of 40748149728000000, curriculum, school, college, exams, university, Prime factorization of 40748149728000000, STEM, science, technology, engineering, physics, economics, calculator, forty quadrillion, seven hundred forty-eight trillion, one hundred forty-nine billion, seven hundred twenty-eight million.