14331070128128000
14,331,070,128,128,000 is an even composite number composed of six prime numbers multiplied together.
14331070128128000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, four hundred forty-eight divisors.
Prime factorization of 14331070128128000:
216 × 53 × 13 × 172 × 412 × 277
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 13 × 17 × 17 × 41 × 41 × 277)See below for interesting mathematical facts about the number 14331070128128000 from the Numbermatics database.
Names of 14331070128128000
- Cardinal: 14331070128128000 can be written as Fourteen quadrillion, three hundred thirty-one trillion, seventy billion, one hundred twenty-eight million, one hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.4331070128128 × 1016
Factors of 14331070128128000
Divisors of 14331070128128000
- Number of divisors d(n): 2448
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Complete list of divisors:
1 2 4 5 8 10 13 16 17 20 25 26 32 34 40 41 50 52 64 65 68 80 82 85 100 104 125 128 130 136 160 164 170 200 205 208 221 250 256 260 272 277 289 320 325 328 340 400 410 416 425 442 500 512 520 533 544 554 578 640 650 656 680 697 800 820 832 850 884 1000 1024 1025 1040 1066 1088 1105 1108 1156 1280 1300 1312 1360 1385 1394 1445 1600 1625 1640 1664 1681 1700 1768 2000 2048 2050 2080 2125 2132 2176 2210 2216 2312 2560 2600 2624 2665 2720 2770 2788 2890 3200 3250 3280 3328 3362 3400 3485 3536 3601 3757 4000 4096 4100 4160 4250 4264 4352 4420 4432 4624 4709 5120 5125 5200 5248 5330 5440 5525 5540 5576 5780 6400 6500 6560 6656 6724 6800 6925 6970 7072 7202 7225 7514 8000 8192 8200 8320 8405 8500 8528 8704 8840 8864 9061 9248 9418 10240 10250 10400 10496 10660 10880 11050 11080 11152 11357 11560 11849 12800 13000 13120 13312 13325 13448 13600 13850 13940 14144 14404 14450 15028 16000 16384 16400 16640 16810 17000 17056 17408 17425 17680 17728 18005 18122 18496 18785 18836 20480 20500 20800 20992 21320 21760 21853 22100 22160 22304 22714 23120 23545 23698 25600 26000 26240 26624 26650 26896 27200 27625 27700 27880 28288 28577 28808 28900 30056 32000 32768 32800 33280 33620 34000 34112 34625 34816 34850 35360 35456 36010 36125 36244 36992 37570 37672 40960 41000 41600 41984 42025 42640 43520 43706 44200 44320 44608 45305 45428 46240 47090 47396 51200 52000 52480 53248 53300 53792 54400 55250 55400 55760 56576 56785 57154 57616 57800 59245 60112 61217 64000 65536 65600 66560 66625 67240 68000 68224 69250 69632 69700 70720 70912 72020 72250 72488 73984 75140 75344 80053 81920 82000 83200 83968 84050 85280 87040 87125 87412 88400 88640 89216 90025 90610 90856 92480 93925 94180 94792 102400 104000 104960 106496 106600 107584 108800 109265 110500 110800 111520 113152 113570 114308 115232 115600 117725 118490 120224 122434 128000 131200 133120 133250 134480 136000 136448 138500 139264 139400 141440 141824 142885 144040 144500 144976 147641 147968 150280 150688 154037 160106 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411623108000 413893722112 420118144000 421502062592 426266214400 430621097600 436922869760 437349552250 447845941504 476812288000 495884779520 497468416000 501489664000 506613056000 514026905600 517367152640 518771769344 526877578240 532832768000 537751224320 538276372000 546153587200 551195004928 559807426880 604737536000 608667238400 619855974400 630935552000 642533632000 646708940800 648464711680 655794176000 658596972800 672189030400 682691984000 688993756160 699076591616 699759283600 760834048000 762899660800 774819968000 790810624000 795949465600 808386176000 810580889600 822443048960 823246216000 840236288000 843004125184 852532428800 861242195200 873845739520 874699104500 895691883008 953624576000 991769559040 994936832000 1013226112000 1028053811200 1034734305280 1053755156480 1065665536000 1075502448640 1076552744000 1092307174400 1102390009856 1119614853760 1209475072000 1239711948800 1261871104000 1285067264000 1293417881600 1296929423360 1317193945600 1344378060800 1365383968000 1377987512320 1398153183232 1399518567200 1521668096000 1549639936000 1581621248000 1616772352000 1621161779200 1646492432000 1680472576000 1686008250368 1705064857600 1722484390400 1747691479040 1749398209000 1791383766016 1907249152000 1983539118080 1989873664000 2026452224000 2056107622400 2069468610560 2107510312960 2131331072000 2153105488000 2184614348800 2204780019712 2239229707520 2479423897600 2570134528000 2586835763200 2593858846720 2634387891200 2688756121600 2730767936000 2755975024640 2796306366464 2799037134400 3043336192000 3099279872000 3233544704000 3242323558400 3292984864000 3360945152000 3372016500736 3444968780800 3495382958080 3498796418000 3582767532032 3814498304000 3979747328000 4052904448000 4112215244800 4215020625920 4262662144000 4306210976000 4369228697600 4409560039424 4478459415040 4958847795200 5140269056000 5173671526400 5268775782400 5377512243200 5461535872000 5511950049280 5598074268800 6198559744000 6467089408000 6484647116800 6585969728000 6721890304000 6744033001472 6889937561600 6990765916160 6997592836000 7165535064064 8105808896000 8430041251840 8525324288000 8612421952000 8738457395200 8819120078848 8956918830080 9917695590400 10280538112000 10347343052800 10537551564800 10923071744000 11023900098560 11196148537600 12397119488000 12934178816000 12969294233600 13171939456000 13443780608000 13779875123200 13981531832320 13995185672000 14331070128128 16211617792000 16860082503680 17224843904000 17476914790400 17913837660160 20561076224000 21075103129600 21846143488000 22047800197120 22392297075200 24794238976000 25868357632000 26343878912000 26887561216000 27559750246400 27990371344000 28662140256256 32423235584000 33720165007360 34449687808000 34953829580800 35827675320320 42150206259200 43692286976000 44095600394240 44784594150400 49588477952000 51736715264000 52687757824000 55119500492800 55980742688000 57324280512512 64846471168000 68899375616000 69907659161600 71655350640640 84300412518400 87384573952000 89569188300800 105375515648000 110239000985600 111961485376000 114648561025024 137798751232000 143310701281280 168600825036800 174769147904000 179138376601600 210751031296000 220478001971200 223922970752000 275597502464000 286621402562560 349538295808000 358276753203200 421502062592000 447845941504000 551195004928000 573242805125120 716553506406400 843004125184000 895691883008000 1102390009856000 1433107012812800 1791383766016000 2866214025625600 3582767532032000 7165535064064000 14331070128128000
- Sum of all divisors σ(n): 42094726849196112
- Sum of proper divisors (its aliquot sum) s(n): 27763656721068112
- 14331070128128000 is an abundant number, because the sum of its proper divisors (27763656721068112) is greater than itself. Its abundance is 13432586592940112
Bases of 14331070128128000
- Binary: 1100101110101000001000010010000011110100000000000000002
- Hexadecimal: 0x32EA08483D0000
- Base-36: 3X3XUQ90S8W
Squares and roots of 14331070128128000
- 14331070128128000 squared (143310701281280002) is 205379571017322690336784384000000
- 14331070128128000 cubed (143310701281280003) is 2943309035134096363112302249482389553152000000000
-
The
square root of 14331070128128000 is 119712447.6741161617 -
The
cube root of 14331070128128000 is 242899.2685855243
Scales and comparisons
How big is 14331070128128000?- 14,331,070,128,128,000 seconds is equal to 455,683,701 years, 8 weeks, 3 days, 16 hours, 53 minutes, 20 seconds.
-
To count from 1 to 14,331,070,128,128,000 would take you about one billion, three hundred sixty-seven million, fifty-one thousand, one hundred 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 14331070128128000 cubic inches would be around 20241.6 feet tall.
Recreational maths with 14331070128128000
- 14331070128128000 backwards is 00082182107013341
- 14331070128128000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 14331070128128000's digits is 41
- More coming soon!
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Cite this page
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"Number 14331070128128000 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
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Numbermatics. (2024). Number 14331070128128000 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/14331070128128000/
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The information we have on file for 14331070128128000 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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