13045531177728000
13,045,531,177,728,000 is an even composite number composed of seven prime numbers multiplied together.
13045531177728000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, four hundred fifty-six divisors.
Prime factorization of 13045531177728000:
211 × 32 × 53 × 7 × 612 × 181 × 1201
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 61 × 61 × 181 × 1201)See below for interesting mathematical facts about the number 13045531177728000 from the Numbermatics database.
Names of 13045531177728000
- Cardinal: 13045531177728000 can be written as Thirteen quadrillion, forty-five trillion, five hundred thirty-one billion, one hundred seventy-seven million, seven hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.3045531177728 × 1016
Factors of 13045531177728000
Divisors of 13045531177728000
- Number of divisors d(n): 3456
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 32 35 36 40 42 45 48 50 56 60 61 63 64 70 72 75 80 84 90 96 100 105 112 120 122 125 126 128 140 144 150 160 168 175 180 181 183 192 200 210 224 225 240 244 250 252 256 280 288 300 305 315 320 336 350 360 362 366 375 384 400 420 427 448 450 480 488 500 504 512 525 543 549 560 576 600 610 630 640 672 700 720 724 732 750 768 800 840 854 875 896 900 905 915 960 976 1000 1008 1024 1050 1086 1098 1120 1125 1152 1200 1201 1220 1260 1267 1280 1281 1344 1400 1440 1448 1464 1500 1525 1536 1575 1600 1629 1680 1708 1750 1792 1800 1810 1830 1920 1952 2000 2016 2048 2100 2135 2172 2196 2240 2250 2304 2400 2402 2440 2520 2534 2560 2562 2625 2688 2715 2745 2800 2880 2896 2928 3000 3050 3072 3150 3200 3258 3360 3416 3500 3584 3600 3603 3620 3660 3721 3801 3840 3843 3904 4000 4032 4200 4270 4344 4392 4480 4500 4525 4575 4608 4800 4804 4880 5040 5068 5120 5124 5250 5376 5430 5490 5600 5760 5792 5856 6000 6005 6100 6144 6300 6335 6400 6405 6516 6720 6832 7000 7168 7200 7206 7240 7320 7442 7602 7625 7680 7686 7808 7875 8000 8064 8145 8400 8407 8540 8688 8784 8960 9000 9050 9150 9216 9600 9608 9760 10080 10136 10240 10248 10500 10675 10752 10809 10860 10980 11041 11163 11200 11403 11520 11584 11712 12000 12010 12200 12600 12670 12800 12810 13032 13440 13575 13664 13725 14000 14336 14400 14412 14480 14640 14884 15204 15250 15360 15372 15616 15750 16000 16128 16290 16800 16814 17080 17376 17568 17920 18000 18015 18100 18300 18432 18605 19005 19200 19215 19216 19520 20160 20272 20496 21000 21350 21504 21618 21720 21960 22082 22326 22400 22625 22806 22875 23040 23168 23424 24000 24020 24400 25200 25221 25340 25600 25620 26047 26064 26880 27150 27328 27450 28000 28800 28824 28960 29280 29768 30025 30408 30500 30720 30744 31232 31500 31675 32000 32025 32256 32580 33123 33489 33600 33628 34160 34752 35136 35840 36000 36030 36200 36600 37210 38010 38400 38430 38432 39040 40320 40544 40725 40992 42000 42035 42700 43008 43236 43440 43920 44164 44652 44800 45250 45612 45750 46080 46336 46848 48000 48040 48800 50400 50442 50680 51200 51240 52094 52128 53375 53760 54045 54300 54656 54900 55205 55815 56000 57015 57600 57648 57920 58560 59536 60050 60816 61000 61488 62464 63000 63350 64000 64050 64512 65160 66246 66978 67200 67256 67875 68320 68625 69504 70272 71680 72000 72060 72400 73200 73261 74420 75663 76020 76800 76860 76864 77287 78080 78141 80640 81088 81450 81984 84000 84070 85400 86472 86880 87840 88328 89304 89600 90075 90500 91224 91500 92160 92672 93025 93696 95025 96000 96075 96080 97600 99369 100800 100884 101360 102480 104188 104256 106750 107520 108090 108600 109312 109800 110410 111630 112000 114030 115200 115296 115840 117120 119072 120100 121632 122000 122976 124928 126000 126105 126700 128000 128100 129024 130235 130320 132492 133956 134400 134512 135750 136640 137250 139008 140544 144000 144120 144800 146400 146522 148840 150125 151326 152040 153600 153720 153728 154574 156160 156282 158375 160125 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9009344736000 9059396651200 9318236555520 9706496412000 10183865088000 10191821232600 10296393984000 10353596172800 10693058342400 10862224128000 10871275981440 11324245814000 11596027713536 11647795694400 11881175936000 12012459648000 12424315407360 12739776540750 12941995216000 13045531177728 13366322928000 13589094976800 14257411123200 14414951577600 14495034641920 14559744618000 14909178488832 15275797632000 15530394259200 16306913972160 16986368721000 17394041570304 17821763904000 18018689472000 18118793302400 18636473111040 19412992824000 20383642465200 20707192345600 21386116684800 21742551962880 22648491628000 23295591388800 23762351872000 24024919296000 24848630814720 25479553081500 25883990432000 26091062355456 26732645856000 27178189953600 28990069283840 29119489236000 30551595264000 31060788518400 32613827944320 33972737442000 34788083140608 35643527808000 36037378944000 36237586604800 37272946222080 38825985648000 40767284930400 41414384691200 42772233369600 43485103925760 45296983256000 46591182777600 50959106163000 51767980864000 52182124710912 53465291712000 54356379907200 57980138567680 58238978472000 62121577036800 65227655888640 67945474884000 71287055616000 72074757888000 72475173209600 74545892444160 77651971296000 81534569860800 86970207851520 90593966512000 93182365555200 101918212326000 103535961728000 104364249421824 106930583424000 108712759814400 116477956944000 124243154073600 130455311777280 135890949768000 144950346419200 155303942592000 163069139721600 173940415703040 181187933024000 186364731110400 203836424652000 207071923456000 213861166848000 217425519628800 232955913888000 260910623554560 271781899536000 289900692838400 310607885184000 326138279443200 362375866048000 372729462220800 407672849304000 434851039257600 465911827776000 521821247109120 543563799072000 621215770368000 652276558886400 724751732096000 815345698608000 869702078515200 931823655552000 1087127598144000 1304553117772800 1449503464192000 1630691397216000 1863647311104000 2174255196288000 2609106235545600 3261382794432000 4348510392576000 6522765588864000 13045531177728000
- Sum of all divisors σ(n): 54982444016223360
- Sum of proper divisors (its aliquot sum) s(n): 41936912838495360
- 13045531177728000 is an abundant number, because the sum of its proper divisors (41936912838495360) is greater than itself. Its abundance is 28891381660767360
Bases of 13045531177728000
- Binary: 1011100101100011010111011010111100000100111000000000002
- Hexadecimal: 0x2E58D76BC13800
- Base-36: 3KG96ADL340
Squares and roots of 13045531177728000
- 13045531177728000 squared (130455311777280002) is 170185883709073298723241984000000
- 13045531177728000 cubed (130455311777280003) is 2220165251935907439612492958257855332352000000000
-
The
square root of 13045531177728000 is 114217035.4094694581 -
The
cube root of 13045531177728000 is 235407.6592654091
Scales and comparisons
How big is 13045531177728000?- 13,045,531,177,728,000 seconds is equal to 414,807,538 years, 50 weeks, 4 days, 16 hours.
-
To count from 1 to 13,045,531,177,728,000 would take you about one billion, two hundred forty-four million, four hundred twenty-two thousand, six hundred sixteen 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 13045531177728000 cubic inches would be around 19617.3 feet tall.
Recreational maths with 13045531177728000
- 13045531177728000 backwards is 00082777113554031
- The number of decimal digits it has is: 17
- The sum of 13045531177728000's digits is 54
- More coming soon!
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Cite this page
MLA style:
"Number 13045531177728000 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.
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Numbermatics. (2024). Number 13045531177728000 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/13045531177728000/
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Numbermatics. 2024. "Number 13045531177728000 - Facts about the integer". https://numbermatics.com/n/13045531177728000/
The information we have on file for 13045531177728000 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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