40139331148800000000
40,139,331,148,800,000,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 40139331148800000000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 22032 divisors.
40139331148800000000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of twenty-two thousand and thirty-two divisors.
Prime factorization of 40139331148800000000:
216 × 33 × 58 × 132 × 172 × 29 × 41
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 5 × 5 × 5 × 13 × 13 × 17 × 17 × 29 × 41)See below for interesting mathematical facts about the number 40139331148800000000 from the Numbermatics database.
Names of 40139331148800000000
- Cardinal: 40139331148800000000 can be written as Forty quintillion, one hundred thirty-nine quadrillion, three hundred thirty-one trillion, one hundred forty-eight billion, eight hundred million.
Scientific notation
- Scientific notation: 4.01393311488 × 1019
Factors of 40139331148800000000
Divisors of 40139331148800000000
- Number of divisors d(n): 22032
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 17 18 20 24 25 26 27 29 30 32 34 36 39 40 41 45 48 50 51 52 54 58 60 64 65 68 72 75 78 80 82 85 87 90 96 100 102 104 108 116 117 120 123 125 128 130 135 136 144 145 150 153 156 160 164 169 170 174 180 192 195 200 204 205 208 216 221 225 232 234 240 246 250 255 256 260 261 270 272 288 289 290 300 306 312 320 325 328 338 340 348 351 360 369 375 377 384 390 400 408 410 416 425 432 435 442 450 459 464 468 480 492 493 500 507 510 512 520 522 533 540 544 576 578 580 585 600 612 615 624 625 640 650 656 663 675 676 680 696 697 702 720 725 738 750 754 765 768 780 783 800 816 820 832 845 850 864 867 870 884 900 918 928 936 960 975 984 986 1000 1014 1020 1024 1025 1040 1044 1066 1080 1088 1105 1107 1125 1131 1152 1156 1160 1170 1189 1200 1224 1230 1248 1250 1275 1280 1300 1305 1312 1326 1350 1352 1360 1392 1394 1404 1440 1445 1450 1476 1479 1500 1508 1521 1530 1536 1560 1566 1599 1600 1625 1632 1640 1664 1690 1700 1728 1734 1740 1755 1768 1800 1836 1845 1856 1872 1875 1885 1920 1950 1968 1972 1989 2000 2028 2040 2048 2050 2080 2088 2091 2125 2132 2160 2175 2176 2210 2214 2250 2262 2295 2304 2312 2320 2340 2378 2400 2448 2460 2465 2496 2500 2535 2550 2560 2600 2601 2610 2624 2652 2665 2700 2704 2720 2784 2788 2808 2873 2880 2890 2900 2925 2952 2958 3000 3016 3042 3060 3072 3075 3120 3125 3132 3198 3200 3250 3264 3280 3315 3328 3375 3380 3393 3400 3456 3468 3480 3485 3510 3536 3567 3600 3625 3672 3690 3712 3744 3750 3757 3770 3825 3840 3900 3915 3936 3944 3978 4000 4056 4080 4096 4100 4160 4176 4182 4225 4250 4264 4320 4335 4350 4352 4420 4428 4437 4500 4524 4563 4590 4608 4624 4640 4680 4756 4797 4800 4875 4896 4901 4920 4930 4992 5000 5070 5100 5120 5125 5200 5202 5220 5248 5304 5330 5400 5408 5440 5525 5535 5568 5576 5616 5625 5655 5746 5760 5780 5800 5850 5904 5916 5945 5967 6000 6032 6084 6120 6144 6150 6240 6250 6264 6273 6375 6396 6400 6409 6500 6525 6528 6560 6630 6656 6750 6760 6786 6800 6912 6929 6936 6960 6970 7020 7072 7134 7200 7225 7250 7344 7380 7395 7424 7488 7500 7514 7540 7605 7650 7680 7800 7803 7830 7872 7888 7956 7995 8000 8112 8125 8160 8192 8200 8320 8352 8364 8381 8450 8500 8528 8619 8640 8670 8700 8704 8775 8840 8856 8874 9000 9048 9061 9126 9180 9216 9225 9248 9280 9360 9375 9425 9512 9594 9600 9750 9792 9802 9840 9860 9945 9984 10000 10140 10179 10200 10240 10250 10400 10404 10440 10455 10496 10608 10625 10660 10701 10800 10816 10875 10880 11050 11070 11136 11152 11232 11250 11271 11310 11475 11492 11520 11560 11600 11700 11808 11832 11849 11890 11934 12000 12064 12168 12240 12288 12300 12325 12480 12500 12528 12546 12675 12750 12792 12800 12818 13000 13005 13050 13056 13120 13260 13311 13312 13325 13500 13520 13572 13600 13824 13858 13872 13920 13940 14040 14144 14268 14365 14391 14400 14450 14500 14625 14688 14703 14760 14790 14848 14976 15000 15028 15080 15210 15300 15360 15375 15457 15600 15606 15625 15660 15744 15776 15912 15990 16000 16224 16250 16320 16384 16400 16575 16640 16704 16728 16762 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- Sum of all divisors σ(n): 181215958238085002400
- Sum of proper divisors (its aliquot sum) s(n): 141076627089285002400
- 40139331148800000000 is an abundant number, because the sum of its proper divisors (141076627089285002400) is greater than itself. Its abundance is 100937295940485002400
Bases of 40139331148800000000
- Binary: 1000101101000010111000110100000011001101011111111100000000000000002
- Hexadecimal: 0x22D0B8D0335FF0000
- Base-36: 8GYJXDI14YDC0
Squares and roots of 40139331148800000000
- 40139331148800000000 squared (401393311488000000002) is 1611165905073025927741440000000000000000
- 40139331148800000000 cubed (401393311488000000003) is 64671121799382253560062000624566272000000000000000000000000
-
The
square root of 40139331148800000000 is 6335560839.3259076965 -
The
cube root of 40139331148800000000 is 3423918.1735766053
Scales and comparisons
How big is 40139331148800000000?- 40,139,331,148,800,000,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 40,139,331,148,800,000,000 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 40139331148800000000 cubic inches would be around 285326.5 feet tall.
Recreational maths with 40139331148800000000
- 40139331148800000000 backwards is 00000000884113393104
- 40139331148800000000 is a
Harshad number . - The number of decimal digits it has is: 20
- The sum of 40139331148800000000's digits is 45
- More coming soon!
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Cite this page
MLA style:
"Number 40139331148800000000 - Facts about the integer". Numbermatics.com. 2024. Web. 17 June 2024.
APA style:
Numbermatics. (2024). Number 40139331148800000000 - Facts about the integer. Retrieved 17 June 2024, from https://numbermatics.com/n/40139331148800000000/
Chicago style:
Numbermatics. 2024. "Number 40139331148800000000 - Facts about the integer". https://numbermatics.com/n/40139331148800000000/
The information we have on file for 40139331148800000000 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 40139331148800000000, math, Factors of 40139331148800000000, curriculum, school, college, exams, university, Prime factorization of 40139331148800000000, STEM, science, technology, engineering, physics, economics, calculator, forty quintillion, one hundred thirty-nine quadrillion, three hundred thirty-one trillion, one hundred forty-eight billion, eight hundred million.