12982376400
12,982,376,400 is an even composite number composed of seven prime numbers multiplied together.
12982376400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 12982376400:
24 × 3 × 52 × 7 × 17 × 229 × 397
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 17 × 229 × 397)See below for interesting mathematical facts about the number 12982376400 from the Numbermatics database.
Names of 12982376400
- Cardinal: 12982376400 can be written as Twelve billion, nine hundred eighty-two million, three hundred seventy-six thousand, four hundred.
Scientific notation
- Scientific notation: 1.29823764 × 1010
Factors of 12982376400
Divisors of 12982376400
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 25 28 30 34 35 40 42 48 50 51 56 60 68 70 75 80 84 85 100 102 105 112 119 120 136 140 150 168 170 175 200 204 210 229 238 240 255 272 280 300 336 340 350 357 397 400 408 420 425 458 476 510 525 560 595 600 680 687 700 714 794 816 840 850 916 952 1020 1050 1145 1190 1191 1200 1275 1360 1374 1400 1428 1588 1603 1680 1700 1785 1832 1904 1985 2040 2100 2290 2380 2382 2550 2748 2779 2800 2856 2975 3176 3206 3400 3435 3570 3664 3893 3970 4080 4200 4580 4760 4764 4809 5100 5496 5558 5712 5725 5950 5955 6352 6412 6749 6800 6870 7140 7786 7940 8015 8337 8400 8925 9160 9520 9528 9618 9925 10200 10992 11116 11450 11679 11900 11910 12824 13498 13740 13895 14280 15572 15880 16030 16674 17175 17850 18320 19056 19236 19465 19850 20247 20400 22232 22900 23358 23800 23820 24045 25648 26996 27251 27480 27790 28560 29775 31144 31760 32060 33348 33745 34350 35700 38472 38930 39700 40075 40494 41685 44464 45800 46716 47243 47600 47640 48090 53992 54502 54960 55580 58395 59550 62288 64120 66696 67490 68700 69475 71400 76944 77860 79400 80150 80988 81753 83370 90913 91600 93432 94486 95280 96180 97325 101235 107984 109004 111160 116790 119100 120225 128240 133392 134980 136255 137400 138950 141729 142800 155720 158800 160300 161976 163506 166740 168725 181826 186864 188972 192360 194650 202470 208425 218008 222320 233580 236215 238200 240450 269960 272510 272739 274800 277900 283458 291975 311440 320600 323952 327012 333480 337450 363652 377944 384720 389300 404940 408765 416850 436016 454565 467160 472430 476400 480900 506175 539920 545020 545478 555800 566916 583950 636391 641200 654024 666960 674900 681275 708645 727304 755888 778600 809880 817530 833700 909130 934320 944860 961800 1012350 1090040 1090956 1111600 1133832 1167900 1181075 1272782 1308048 1349800 1362550 1363695 1417290 1454608 1545521 1557200 1619760 1635060 1667400 1818260 1889720 1909173 1923600 2024700 2043825 2180080 2181912 2267664 2272825 2335800 2362150 2545564 2699600 2725100 2727390 2834580 3091042 3181955 3270120 3334800 3543225 3636520 3779440 3818346 4049400 4087650 4363824 4545650 4636563 4671600 4724300 5091128 5450200 5454780 5669160 6182084 6363910 6540240 6818475 7086450 7273040 7636692 7727605 8098800 8175300 9091300 9273126 9448600 9545865 10182256 10818647 10900400 10909560 11338320 12364168 12727820 13636950 14172900 15273384 15455210 15909775 16350600 18182600 18546252 18897200 19091730 21637294 21819120 23182815 24728336 25455640 27273900 28345800 30546768 30910420 31819550 32455941 32701200 36365200 37092504 38183460 38638025 43274588 46365630 47729325 50911280 54093235 54547800 56691600 61820840 63639100 64911882 74185008 76366920 77276050 86549176 92731260 95458650 108186470 109095600 115914075 123641680 127278200 129823764 152733840 154552100 162279705 173098352 185462520 190917300 216372940 231828150 254556400 259647528 270466175 309104200 324559410 370925040 381834600 432745880 463656300 519295056 540932350 618208400 649118820 763669200 811398525 865491760 927312600 1081864700 1298237640 1622797050 1854625200 2163729400 2596475280 3245594100 4327458800 6491188200 12982376400
- Sum of all divisors σ(n): 50670685440
- Sum of proper divisors (its aliquot sum) s(n): 37688309040
- 12982376400 is an abundant number, because the sum of its proper divisors (37688309040) is greater than itself. Its abundance is 24705932640
Bases of 12982376400
- Binary: 11000001011100111101010111110100002
- Hexadecimal: 0x305CF57D0
- Base-36: 5YPDDQO
Squares and roots of 12982376400
- 12982376400 squared (129823764002) is 168542096991276960000
- 12982376400 cubed (129823764003) is 2188076942386065011367744000000
-
The
square root of 12982376400 is 113940.2317006597 -
The
cube root of 12982376400 is 2350.2716692115
Scales and comparisons
How big is 12982376400?- 12,982,376,400 seconds is equal to 412 years, 41 weeks, 3 days, 23 hours, 40 minutes.
-
To count from 1 to 12,982,376,400 would take you about eight hundred twenty-five 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 12982376400 cubic inches would be around 195.9 feet tall.
Recreational maths with 12982376400
- 12982376400 backwards is 00467328921
- 12982376400 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 12982376400's digits is 42
- More coming soon!
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