12728948940960
12,728,948,940,960 is an even composite number composed of seven prime numbers multiplied together.
What does the number 12728948940960 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 384 divisors.
12728948940960 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 12728948940960:
25 × 3 × 5 × 7 × 31 × 397 × 307823
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 31 × 397 × 307823)See below for interesting mathematical facts about the number 12728948940960 from the Numbermatics database.
Names of 12728948940960
- Cardinal: 12728948940960 can be written as Twelve trillion, seven hundred twenty-eight billion, nine hundred forty-eight million, nine hundred forty thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.272894894096 × 1013
Factors of 12728948940960
Divisors of 12728948940960
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 31 32 35 40 42 48 56 60 62 70 80 84 93 96 105 112 120 124 140 155 160 168 186 210 217 224 240 248 280 310 336 372 397 420 434 465 480 496 560 620 651 672 744 794 840 868 930 992 1085 1120 1191 1240 1302 1488 1588 1680 1736 1860 1985 2170 2382 2480 2604 2779 2976 3176 3255 3360 3472 3720 3970 4340 4764 4960 5208 5558 5955 6352 6510 6944 7440 7940 8337 8680 9528 10416 11116 11910 12307 12704 13020 13895 14880 15880 16674 17360 19056 20832 22232 23820 24614 26040 27790 31760 33348 34720 36921 38112 41685 44464 47640 49228 52080 55580 61535 63520 66696 73842 83370 86149 88928 95280 98456 104160 111160 123070 133392 147684 166740 172298 184605 190560 196912 222320 246140 258447 266784 295368 307823 333480 344596 369210 393824 430745 444640 492280 516894 590736 615646 666960 689192 738420 861490 923469 984560 1033788 1181472 1231292 1292235 1333920 1378384 1476840 1539115 1722980 1846938 1969120 2067576 2154761 2462584 2584470 2756768 2953680 3078230 3445960 3693876 4135152 4309522 4617345 4925168 5168940 5907360 6156460 6464283 6891920 7387752 8270304 8619044 9234690 9542513 9850336 10337880 10773805 12312920 12928566 13783840 14775504 17238088 18469380 19085026 20675760 21547610 24625840 25857132 28627539 29551008 32321415 34476176 36938760 38170052 41351520 43095220 47712565 49251680 51714264 57255078 64642830 66797591 68952352 73877520 76340104 86190440 95425130 103428528 114510156 122205731 129285660 133595182 143137695 147755040 152680208 172380880 190850260 200392773 206857056 229020312 244411462 258571320 267190364 286275390 305360416 333987955 344761760 366617193 381700520 400785546 458040624 488822924 517142640 534380728 572550780 611028655 667975910 733234386 763401040 801571092 855440117 916081248 977645848 1001963865 1034285280 1068761456 1145101560 1222057310 1335951820 1466468772 1526802080 1603142184 1710880234 1833085965 1955291696 2003927730 2137522912 2290203120 2444114620 2566320351 2671903640 2932937544 3206284368 3421760468 3666171930 3788377661 3910583392 4007855460 4277200585 4580406240 4888229240 5132640702 5343807280 5865875088 6412568736 6843520936 7332343860 7576755322 8015710920 8554401170 9776458480 10265281404 10687614560 11365132983 11731750176 12831601755 13687041872 14664687720 15153510644 16031421840 17108802340 18941888305 19552916960 20530562808 22730265966 25663203510 26518643627 27374083744 29329375440 30307021288 32062843680 34217604680 37883776610 41061125616 45460531932 51326407020 53037287254 56825664915 58658750880 60614042576 68435209360 75767553220 79555930881 82122251232 90921063864 102652814040 106074574508 113651329830 121228085152 132593218135 136870418720 151535106440 159111861762 181842127728 205305628080 212149149016 227302659660 265186436270 303070212880 318223723524 363684255456 397779654405 410611256160 424298298032 454605319320 530372872540 606140425760 636447447048 795559308810 848596596064 909210638640 1060745745080 1272894894096 1591118617620 1818421277280 2121491490160 2545789788192 3182237235240 4242982980320 6364474470480 12728948940960
- Sum of all divisors σ(n): 47421720428544
- Sum of proper divisors (its aliquot sum) s(n): 34692771487584
- 12728948940960 is an abundant number, because the sum of its proper divisors (34692771487584) is greater than itself. Its abundance is 21963822546624
Bases of 12728948940960
- Binary: 101110010011101100000111101011100000101000002
- Hexadecimal: 0xB93B07AE0A0
- Base-36: 4IFLJJPUO
Squares and roots of 12728948940960
- 12728948940960 squared (127289489409602) is 162026141141566705565721600
- 12728948940960 cubed (127289489409603) is 2062422477691781002245988097998196736000
-
The
square root of 12728948940960 is 3567765.2586682325 -
The
cube root of 12728948940960 is 23348.7793739207
Scales and comparisons
How big is 12728948940960?- 12,728,948,940,960 seconds is equal to 404,741 years, 10 weeks, 3 days, 22 hours, 16 minutes.
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To count from 1 to 12,728,948,940,960 would take you about one million, eleven thousand, eight hundred fifty-three 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 12728948940960 cubic inches would be around 1945.7 feet tall.
Recreational maths with 12728948940960
- 12728948940960 backwards is 06904984982721
- The number of decimal digits it has is: 14
- The sum of 12728948940960's digits is 69
- More coming soon!
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