12668006400
12,668,006,400 is an even composite number composed of six prime numbers multiplied together.
12668006400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred twenty-four divisors.
Prime factorization of 12668006400:
212 × 3 × 52 × 7 × 43 × 137
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 43 × 137)See below for interesting mathematical facts about the number 12668006400 from the Numbermatics database.
Names of 12668006400
- Cardinal: 12668006400 can be written as Twelve billion, six hundred sixty-eight million, six thousand, four hundred.
Scientific notation
- Scientific notation: 1.26680064 × 1010
Factors of 12668006400
Divisors of 12668006400
- Number of divisors d(n): 624
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 43 48 50 56 60 64 70 75 80 84 86 96 100 105 112 120 128 129 137 140 150 160 168 172 175 192 200 210 215 224 240 256 258 274 280 300 301 320 336 344 350 384 400 411 420 430 448 480 512 516 525 548 560 600 602 640 645 672 685 688 700 768 800 822 840 860 896 903 959 960 1024 1032 1050 1075 1096 1120 1200 1204 1280 1290 1344 1370 1376 1400 1505 1536 1600 1644 1680 1720 1792 1806 1918 1920 2048 2055 2064 2100 2150 2192 2240 2400 2408 2560 2580 2688 2740 2752 2800 2877 3010 3072 3200 3225 3288 3360 3425 3440 3584 3612 3836 3840 4096 4110 4128 4200 4300 4384 4480 4515 4795 4800 4816 5120 5160 5376 5480 5504 5600 5754 5891 6020 6144 6400 6450 6576 6720 6850 6880 7168 7224 7525 7672 7680 8220 8256 8400 8600 8768 8960 9030 9590 9600 9632 10240 10275 10320 10752 10960 11008 11200 11508 11782 12040 12288 12800 12900 13152 13440 13700 13760 14336 14385 14448 15050 15344 15360 16440 16512 16800 17200 17536 17673 17920 18060 19180 19200 19264 20480 20550 20640 21504 21920 22016 22400 22575 23016 23564 23975 24080 25600 25800 26304 26880 27400 27520 28672 28770 28896 29455 30100 30688 30720 32880 33024 33600 34400 35072 35346 35840 36120 38360 38400 38528 41100 41237 41280 43008 43840 44032 44800 45150 46032 47128 47950 48160 51200 51600 52608 53760 54800 55040 57540 57792 58910 60200 61376 61440 65760 66048 67200 68800 70144 70692 71680 71925 72240 76720 76800 77056 82200 82474 82560 86016 87680 88064 88365 89600 90300 92064 94256 95900 96320 102400 103200 105216 107520 109600 110080 115080 115584 117820 120400 122752 123711 131520 132096 134400 137600 140288 141384 143360 143850 144480 147275 153440 153600 154112 164400 164948 165120 175360 176128 176730 179200 180600 184128 188512 191800 192640 206185 206400 210432 215040 219200 220160 230160 231168 235640 240800 245504 247422 263040 264192 268800 275200 280576 282768 287700 288960 294550 306880 307200 308224 328800 329896 330240 350720 353460 358400 361200 368256 377024 383600 385280 412370 412800 420864 430080 438400 440320 441825 460320 462336 471280 481600 491008 494844 526080 528384 537600 550400 561152 565536 575400 577920 589100 613760 616448 618555 657600 659792 660480 701440 706920 716800 722400 736512 754048 767200 770560 824740 825600 841728 876800 880640 883650 920640 924672 942560 963200 982016 989688 1030925 1052160 1075200 1100800 1131072 1150800 1155840 1178200 1227520 1232896 1237110 1315200 1319584 1320960 1402880 1413840 1444800 1473024 1508096 1534400 1541120 1649480 1651200 1683456 1753600 1767300 1841280 1849344 1885120 1926400 1964032 1979376 2061850 2104320 2150400 2201600 2262144 2301600 2311680 2356400 2455040 2474220 2630400 2639168 2641920 2805760 2827680 2889600 2946048 3016192 3068800 3082240 3092775 3298960 3302400 3507200 3534600 3682560 3698688 3770240 3852800 3928064 3958752 4123700 4208640 4403200 4524288 4603200 4623360 4712800 4910080 4948440 5260800 5278336 5655360 5779200 5892096 6032384 6137600 6164480 6185550 6597920 6604800 7014400 7069200 7365120 7540480 7705600 7917504 8247400 8417280 9048576 9206400 9246720 9425600 9820160 9896880 10521600 10556672 11310720 11558400 11784192 12064768 12275200 12371100 13195840 13209600 14028800 14138400 14730240 15080960 15411200 15835008 16494800 18097152 18412800 18493440 18851200 19640320 19793760 21043200 21113344 22621440 23116800 24129536 24550400 24742200 26391680 28276800 29460480 30161920 30822400 31670016 32989600 36194304 36825600 37702400 39587520 42086400 42226688 45242880 46233600 49100800 49484400 52783360 56553600 58920960 60323840 63340032 65979200 72388608 73651200 75404800 79175040 84453376 90485760 92467200 98201600 98968800 105566720 113107200 120647680 126680064 131958400 147302400 150809600 158350080 168906752 180971520 197937600 211133440 226214400 253360128 263916800 294604800 301619200 316700160 361943040 395875200 422266880 452428800 506720256 527833600 603238400 633400320 791750400 844533760 904857600 1055667200 1266800640 1583500800 1809715200 2111334400 2533601280 3167001600 4222668800 6334003200 12668006400
- Sum of all divisors σ(n): 49337865984
- Sum of proper divisors (its aliquot sum) s(n): 36669859584
- 12668006400 is an abundant number, because the sum of its proper divisors (36669859584) is greater than itself. Its abundance is 24001853184
Bases of 12668006400
- Binary: 10111100110001001001110000000000002
- Hexadecimal: 0x2F3127000
- Base-36: 5TI7CAO
Squares and roots of 12668006400
- 12668006400 squared (126680064002) is 160478386150440960000
- 12668006400 cubed (126680064003) is 2032941222815457444102144000000
-
The
square root of 12668006400 is 112552.2385383783 -
The
cube root of 12668006400 is 2331.1457338001
Scales and comparisons
How big is 12668006400?- 12,668,006,400 seconds is equal to 402 years, 41 weeks, 5 days, 10 hours, 40 minutes.
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To count from 1 to 12,668,006,400 would take you about eight hundred 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 12668006400 cubic inches would be around 194.3 feet tall.
Recreational maths with 12668006400
- 12668006400 backwards is 00460086621
- The number of decimal digits it has is: 11
- The sum of 12668006400's digits is 33
- More coming soon!
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