13407414028800
13,407,414,028,800 is an even composite number composed of six prime numbers multiplied together.
13407414028800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 13407414028800:
29 × 3 × 52 × 11 × 307 × 103391
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 11 × 307 × 103391)See below for interesting mathematical facts about the number 13407414028800 from the Numbermatics database.
Names of 13407414028800
- Cardinal: 13407414028800 can be written as Thirteen trillion, four hundred seven billion, four hundred fourteen million, twenty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.34074140288 × 1013
Factors of 13407414028800
Divisors of 13407414028800
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 32 33 40 44 48 50 55 60 64 66 75 80 88 96 100 110 120 128 132 150 160 165 176 192 200 220 240 256 264 275 300 307 320 330 352 384 400 440 480 512 528 550 600 614 640 660 704 768 800 825 880 921 960 1056 1100 1200 1228 1280 1320 1408 1535 1536 1600 1650 1760 1842 1920 2112 2200 2400 2456 2560 2640 2816 3070 3200 3300 3377 3520 3684 3840 4224 4400 4605 4800 4912 5280 5632 6140 6400 6600 6754 7040 7368 7675 7680 8448 8800 9210 9600 9824 10131 10560 12280 12800 13200 13508 14080 14736 15350 16885 16896 17600 18420 19200 19648 20262 21120 23025 24560 26400 27016 28160 29472 30700 33770 35200 36840 38400 39296 40524 42240 46050 49120 50655 52800 54032 58944 61400 67540 70400 73680 78592 81048 84425 84480 92100 98240 101310 103391 105600 108064 117888 122800 135080 140800 147360 157184 162096 168850 184200 196480 202620 206782 211200 216128 235776 245600 253275 270160 294720 310173 324192 337700 368400 392960 405240 413564 422400 432256 471552 491200 506550 516955 540320 589440 620346 648384 675400 736800 785920 810480 827128 864512 982400 1013100 1033910 1080640 1137301 1178880 1240692 1296768 1350800 1473600 1550865 1620960 1654256 1729024 1964800 2026200 2067820 2161280 2274602 2357760 2481384 2584775 2593536 2701600 2947200 3101730 3241920 3308512 3411903 3929600 4052400 4135640 4322560 4549204 4962768 5169550 5187072 5403200 5686505 5894400 6203460 6483840 6617024 6823806 7754325 8104800 8271280 8645120 9098408 9925536 10339100 10806400 11373010 11788800 12406920 12967680 13234048 13647612 15508650 16209600 16542560 17059515 18196816 19851072 20678200 21612800 22746020 24813840 25935360 26468096 27295224 28432525 31017300 31741037 32419200 33085120 34119030 36393632 39702144 41356400 43225600 45492040 49627680 52936192 54590448 56865050 62034600 63482074 64838400 66170240 68238060 72787264 79404288 82712800 85297575 90984080 95223111 99255360 109180896 113730100 124069200 126964148 129676800 132340480 136476120 145574528 158705185 158808576 165425600 170595150 181968160 190446222 198510720 218361792 227460200 248138400 253928296 264680960 272952240 291149056 317410370 330851200 341190300 349151407 363936320 380892444 397021440 436723584 454920400 476115555 496276800 507856592 545904480 582298112 634820740 661702400 682380600 698302814 727872640 761784888 793525925 794042880 873447168 909840800 952231110 992553600 1015713184 1047454221 1091808960 1269641480 1323404800 1364761200 1396605628 1455745280 1523569776 1587051850 1745757035 1746894336 1819681600 1904462220 1985107200 2031426368 2094908442 2183617920 2380577775 2539282960 2729522400 2793211256 2911490560 3047139552 3174103700 3491514070 3639363200 3808924440 3970214400 4062852736 4189816884 4367235840 4761155550 5078565920 5237271105 5459044800 5586422512 6094279104 6348207400 6983028140 7278726400 7617848880 8125705472 8379633768 8728785175 8734471680 9522311100 10157131840 10474542210 10918089600 11172845024 12188558208 12696414800 13966056280 14557452800 15235697760 16251410944 16759267536 17457570350 19044622200 20314263680 20949084420 21836179200 22345690048 24377116416 25392829600 26186355525 27932112560 30471395520 33518535072 34915140700 38089244400 40628527360 41898168840 43672358400 44691380096 48754232832 50785659200 52372711050 55864225120 60942791040 67037070144 69830281400 76178488800 81257054720 83796337680 89382760192 101571318400 104745422100 111728450240 121885582080 134074140288 139660562800 152356977600 167592675360 178765520384 203142636800 209490844200 223456900480 243771164160 268148280576 279321125600 304713955200 335185350720 406285273600 418981688400 446913800960 536296561152 558642251200 609427910400 670370701440 837963376800 893827601920 1117284502400 1218855820800 1340741402880 1675926753600 2234569004800 2681482805760 3351853507200 4469138009600 6703707014400 13407414028800
- Sum of all divisors σ(n): 48474821412864
- Sum of proper divisors (its aliquot sum) s(n): 35067407384064
- 13407414028800 is an abundant number, because the sum of its proper divisors (35067407384064) is greater than itself. Its abundance is 21659993355264
Bases of 13407414028800
- Binary: 110000110001101010000010011010001010000000002
- Hexadecimal: 0xC31A8268A00
- Base-36: 4R3A4562O
Squares and roots of 13407414028800
- 13407414028800 squared (134074140288002) is 179758750939663047229440000
- 13407414028800 cubed (134074140288003) is 2410099999148003521768950828367872000000
-
The
square root of 13407414028800 is 3661613.5826708967 -
The
cube root of 13407414028800 is 23756.4571347979
Scales and comparisons
How big is 13407414028800?- 13,407,414,028,800 seconds is equal to 426,314 years, 15 weeks, 2 days, 2 hours, 40 minutes.
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To count from 1 to 13,407,414,028,800 would take you about one million, sixty-five thousand, seven hundred eighty-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 13407414028800 cubic inches would be around 1979.7 feet tall.
Recreational maths with 13407414028800
- 13407414028800 backwards is 00882041470431
- The number of decimal digits it has is: 14
- The sum of 13407414028800's digits is 42
- More coming soon!
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