40148465909760
40,148,465,909,760 is an even composite number composed of five prime numbers multiplied together.
40148465909760 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 40148465909760:
215 × 38 × 5 × 133 × 17
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 13 × 13 × 13 × 17)See below for interesting mathematical facts about the number 40148465909760 from the Numbermatics database.
Names of 40148465909760
- Cardinal: 40148465909760 can be written as Forty trillion, one hundred forty-eight billion, four hundred sixty-five million, nine hundred nine thousand, seven hundred sixty.
Scientific notation
- Scientific notation: 4.014846590976 × 1013
Factors of 40148465909760
Divisors of 40148465909760
- Number of divisors d(n): 2304
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 17 18 20 24 26 27 30 32 34 36 39 40 45 48 51 52 54 60 64 65 68 72 78 80 81 85 90 96 102 104 108 117 120 128 130 135 136 144 153 156 160 162 169 170 180 192 195 204 208 216 221 234 240 243 255 256 260 270 272 288 306 312 320 324 338 340 351 360 384 390 405 408 416 432 442 459 468 480 486 507 510 512 520 540 544 576 585 612 624 640 648 663 676 680 702 720 729 765 768 780 810 816 832 845 864 884 918 936 960 972 1014 1020 1024 1040 1053 1080 1088 1105 1152 1170 1215 1224 1248 1280 1296 1326 1352 1360 1377 1404 1440 1458 1521 1530 1536 1560 1620 1632 1664 1690 1728 1755 1768 1836 1872 1920 1944 1989 2028 2040 2048 2080 2106 2160 2176 2187 2197 2210 2295 2304 2340 2430 2448 2496 2535 2560 2592 2652 2704 2720 2754 2808 2873 2880 2916 3042 3060 3072 3120 3159 3240 3264 3315 3328 3380 3456 3510 3536 3645 3672 3744 3840 3888 3978 4056 4080 4096 4131 4160 4212 4320 4352 4374 4394 4420 4563 4590 4608 4680 4860 4896 4992 5070 5120 5184 5265 5304 5408 5440 5508 5616 5746 5760 5832 5967 6084 6120 6144 6240 6318 6480 6528 6561 6591 6630 6656 6760 6885 6912 7020 7072 7290 7344 7488 7605 7680 7776 7956 8112 8160 8192 8262 8320 8424 8619 8640 8704 8748 8788 8840 9126 9180 9216 9360 9477 9720 9792 9945 9984 10140 10240 10368 10530 10608 10816 10880 10935 10985 11016 11232 11492 11520 11664 11934 12168 12240 12288 12393 12480 12636 12960 13056 13122 13182 13260 13312 13520 13689 13770 13824 14040 14144 14365 14580 14688 14976 15210 15360 15552 15795 15912 16224 16320 16384 16524 16640 16848 17238 17280 17408 17496 17576 17680 17901 18252 18360 18432 18720 18954 19440 19584 19773 19890 19968 20280 20480 20655 20736 21060 21216 21632 21760 21870 21970 22032 22464 22815 22984 23040 23328 23868 24336 24480 24576 24786 24960 25272 25857 25920 26112 26244 26364 26520 26624 27040 27378 27540 27648 28080 28288 28431 28730 29160 29376 29835 29952 30420 30720 31104 31590 31824 32448 32640 32768 32805 32955 33048 33280 33696 34476 34560 34816 34992 35152 35360 35802 36504 36720 36864 37179 37349 37440 37908 38880 39168 39546 39780 39936 40560 40960 41067 41310 41472 42120 42432 43095 43264 43520 43740 43940 44064 44928 45630 45968 46080 46656 47385 47736 48672 48960 49152 49572 49920 50544 51714 51840 52224 52488 52728 53040 53248 53703 54080 54756 55080 55296 56160 56576 56862 57460 58320 58752 59319 59670 59904 60840 61440 61965 62208 63180 63648 64896 65280 65610 65910 66096 66560 67392 68445 68952 69120 69632 69984 70304 70720 71604 73008 73440 73728 74358 74698 74880 75816 77571 77760 78336 79092 79560 79872 81120 81920 82134 82620 82944 84240 84864 85293 86190 86528 87040 87480 87880 88128 89505 89856 91260 91936 92160 93312 94770 95472 97344 97920 98304 98865 99144 99840 101088 103428 103680 104448 104976 105456 106080 106496 107406 108160 109512 110160 110592 111537 112047 112320 113152 113724 114920 116640 117504 118638 119340 119808 121680 122880 123201 123930 124416 126360 127296 129285 129792 130560 131220 131820 132192 133120 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2676564393984 3088343531520 3345705492480 4014846590976 4460940656640 5018558238720 6691410984960 8029693181952 10037116477440 13382821969920 20074232954880 40148465909760
- Sum of all divisors σ(n): 165772790492400
- Sum of proper divisors (its aliquot sum) s(n): 125624324582640
- 40148465909760 is an abundant number, because the sum of its proper divisors (125624324582640) is greater than itself. Its abundance is 85475858672880
Bases of 40148465909760
- Binary: 10010010000011110010110000110010000000000000002
- Hexadecimal: 0x2483CB0C8000
- Base-36: E8BY80000
Squares and roots of 40148465909760
- 40148465909760 squared (401484659097602) is 1611899314907160864463257600
- 40148465909760 cubed (401484659097603) is 64715284694515646946211509593677234176000
-
The
square root of 40148465909760 is 6336281.7101009643 -
The
cube root of 40148465909760 is 34241.7788809981
Scales and comparisons
How big is 40148465909760?- 40,148,465,909,760 seconds is equal to 1,276,597 years, 1 week, 3 days, 9 hours, 36 minutes.
-
To count from 1 to 40,148,465,909,760 would take you about three million, one hundred ninety-one thousand, four hundred ninety-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 40148465909760 cubic inches would be around 2853.5 feet tall.
Recreational maths with 40148465909760
- 40148465909760 backwards is 06790956484104
- The number of decimal digits it has is: 14
- The sum of 40148465909760's digits is 63
- More coming soon!
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The information we have on file for 40148465909760 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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