1978462968768000
1,978,462,968,768,000 is an even composite number composed of six prime numbers multiplied together.
1978462968768000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four thousand, three hundred twenty divisors.
Prime factorization of 1978462968768000:
29 × 32 × 53 × 11 × 135 × 292
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 11 × 13 × 13 × 13 × 13 × 13 × 29 × 29)See below for interesting mathematical facts about the number 1978462968768000 from the Numbermatics database.
Names of 1978462968768000
- Cardinal: 1978462968768000 can be written as One quadrillion, nine hundred seventy-eight trillion, four hundred sixty-two billion, nine hundred sixty-eight million, seven hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 1.978462968768 × 1015
Factors of 1978462968768000
Divisors of 1978462968768000
- Number of divisors d(n): 4320
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 20 22 24 25 26 29 30 32 33 36 39 40 44 45 48 50 52 55 58 60 64 65 66 72 75 78 80 87 88 90 96 99 100 104 110 116 117 120 125 128 130 132 143 144 145 150 156 160 165 169 174 176 180 192 195 198 200 208 220 225 232 234 240 250 256 260 261 264 275 286 288 290 300 312 319 320 325 330 338 348 352 360 375 377 384 390 396 400 416 429 435 440 450 464 468 480 495 500 507 512 520 522 528 550 572 576 580 585 600 624 638 640 650 660 676 696 704 715 720 725 750 754 768 780 792 800 825 832 841 845 858 870 880 900 928 936 957 960 975 990 1000 1014 1040 1044 1056 1100 1125 1131 1144 1152 1160 1170 1200 1248 1276 1280 1287 1300 1305 1320 1352 1375 1392 1408 1430 1440 1450 1500 1508 1521 1536 1560 1584 1595 1600 1625 1650 1664 1682 1690 1716 1740 1760 1800 1856 1859 1872 1885 1914 1920 1950 1980 2000 2028 2080 2088 2112 2145 2175 2197 2200 2250 2262 2288 2304 2320 2340 2400 2475 2496 2523 2535 2552 2560 2574 2600 2610 2640 2704 2750 2784 2816 2860 2871 2880 2900 2925 3000 3016 3042 3120 3168 3190 3200 3250 3300 3328 3364 3380 3393 3432 3480 3520 3575 3600 3625 3712 3718 3744 3770 3828 3840 3900 3960 4000 4056 4125 4147 4160 4176 4205 4224 4225 4290 4350 4394 4400 4500 4524 4576 4608 4640 4680 4785 4800 4875 4901 4950 4992 5046 5070 5104 5148 5200 5220 5280 5408 5500 5568 5577 5632 5655 5720 5742 5760 5800 5850 6000 6032 6084 6240 6336 6380 6400 6435 6500 6525 6591 6600 6656 6728 6760 6786 6864 6960 7040 7150 7200 7250 7424 7436 7488 7540 7569 7605 7656 7680 7800 7920 7975 8000 8112 8250 8294 8320 8352 8410 8448 8450 8580 8700 8788 8800 9000 9048 9152 9251 9280 9295 9360 9425 9570 9600 9750 9802 9900 9984 10092 10140 10208 10296 10400 10440 10560 10725 10816 10875 10933 10985 11000 11136 11154 11310 11440 11484 11520 11600 11700 12000 12064 12168 12375 12441 12480 12615 12672 12675 12760 12800 12870 13000 13050 13182 13200 13456 13520 13572 13728 13920 14080 14300 14355 14400 14500 14625 14703 14848 14872 14976 15080 15138 15210 15312 15600 15840 15950 16000 16224 16500 16588 16640 16704 16731 16820 16896 16900 16965 17160 17400 17576 17600 17875 18000 18096 18304 18502 18560 18590 18720 18850 19140 19200 19500 19604 19773 19800 19968 20184 20280 20416 20592 20735 20800 20880 21025 21120 21125 21450 21632 21750 21866 21970 22000 22272 22308 22620 22880 22968 23040 23200 23400 23925 24000 24128 24167 24336 24505 24750 24882 24960 25230 25344 25350 25520 25740 26000 26100 26364 26400 26912 27040 27144 27456 27753 27840 27885 28160 28275 28561 28600 28710 28800 29000 29250 29406 29744 29952 30160 30276 30420 30624 31200 31680 31900 32000 32175 32448 32625 32799 32955 33000 33176 33280 33408 33462 33640 33800 33930 34320 34800 35152 35200 35750 36000 36192 36608 37004 37120 37180 37323 37440 37700 37845 38025 38280 38400 39000 39208 39546 39600 39875 40368 40560 40832 41184 41470 41600 41760 42050 42240 42250 42900 43264 43500 43732 43940 44000 44109 44544 44616 45240 45760 45936 46255 46400 46475 46800 47125 47850 48000 48256 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- Sum of all divisors σ(n): 8722114091282592
- Sum of proper divisors (its aliquot sum) s(n): 6743651122514592
- 1978462968768000 is an abundant number, because the sum of its proper divisors (6743651122514592) is greater than itself. Its abundance is 4765188153746592
Bases of 1978462968768000
- Binary: 1110000011101100110110011100111010001100110000000002
- Hexadecimal: 0x70766CE746600
- Base-36: JHB1C97CW0
Squares and roots of 1978462968768000
- 1978462968768000 squared (19784629687680002) is 3914315718786288143437824000000
- 1978462968768000 cubed (19784629687680003) is 7744328697685167469997076288661880832000000000
-
The
square root of 1978462968768000 is 44479916.4653891859 -
The
cube root of 1978462968768000 is 125538.2225395315
Scales and comparisons
How big is 1978462968768000?- 1,978,462,968,768,000 seconds is equal to 62,909,002 years, 32 weeks, 1 day, 8 hours.
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To count from 1 to 1,978,462,968,768,000 would take you about one hundred eighty-eight million, seven hundred twenty-seven thousand and 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 1978462968768000 cubic inches would be around 10461.5 feet tall.
Recreational maths with 1978462968768000
- 1978462968768000 backwards is 0008678692648791
- The number of decimal digits it has is: 16
- The sum of 1978462968768000's digits is 81
- More coming soon!
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The information we have on file for 1978462968768000 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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