13874536115814400
13,874,536,115,814,400 is an even composite number composed of eight prime numbers multiplied together.
13874536115814400 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, eight hundred eighty divisors.
Prime factorization of 13874536115814400:
214 × 52 × 13 × 17 × 19 × 59 × 73 × 1873
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 17 × 19 × 59 × 73 × 1873)See below for interesting mathematical facts about the number 13874536115814400 from the Numbermatics database.
Names of 13874536115814400
- Cardinal: 13874536115814400 can be written as Thirteen quadrillion, eight hundred seventy-four trillion, five hundred thirty-six billion, one hundred fifteen million, eight hundred fourteen thousand, four hundred.
Scientific notation
- Scientific notation: 1.38745361158144 × 1016
Factors of 13874536115814400
Divisors of 13874536115814400
- Number of divisors d(n): 2880
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Complete list of divisors:
1 2 4 5 8 10 13 16 17 19 20 25 26 32 34 38 40 50 52 59 64 65 68 73 76 80 85 95 100 104 118 128 130 136 146 152 160 170 190 200 208 221 236 247 256 260 272 292 295 304 320 323 325 340 365 380 400 416 425 442 472 475 494 512 520 544 584 590 608 640 646 650 680 730 760 767 800 832 850 884 944 949 950 988 1003 1024 1040 1088 1105 1121 1168 1180 1216 1235 1241 1280 1292 1300 1360 1387 1460 1475 1520 1534 1600 1615 1664 1700 1768 1825 1873 1888 1898 1900 1976 2006 2048 2080 2176 2210 2242 2336 2360 2432 2470 2482 2560 2584 2600 2720 2774 2920 2950 3040 3068 3200 3230 3328 3400 3536 3650 3746 3776 3796 3800 3835 3952 4012 4096 4160 4199 4307 4352 4420 4484 4672 4720 4745 4864 4940 4964 5015 5120 5168 5200 5440 5525 5548 5605 5840 5900 6080 6136 6175 6205 6400 6460 6656 6800 6935 7072 7300 7492 7552 7592 7600 7670 7904 8024 8075 8192 8320 8398 8614 8704 8840 8968 9344 9365 9440 9490 9728 9880 9928 10030 10240 10336 10400 10880 11050 11096 11210 11680 11800 12160 12272 12350 12410 12800 12920 13039 13312 13600 13870 14144 14573 14600 14984 15104 15184 15200 15340 15808 16048 16133 16150 16384 16640 16796 17228 17408 17680 17936 18031 18688 18730 18880 18980 19057 19175 19456 19760 19856 20060 20480 20672 20800 20995 21535 21760 22100 22192 22420 23360 23579 23600 23725 24320 24349 24544 24700 24820 25075 25600 25840 26078 26624 27200 27740 28025 28288 29146 29200 29968 30208 30368 30400 30680 31025 31616 31841 32096 32266 32300 33280 33592 34456 34675 34816 35360 35587 35872 36062 37376 37460 37760 37960 38114 38350 38912 39520 39712 40120 40960 41344 41600 41990 43070 43520 44200 44384 44840 46720 46825 47158 47200 47450 48640 48698 49088 49400 49640 50150 51200 51680 52156 53248 54400 55480 55991 56050 56576 58292 58400 59936 60416 60736 60800 61360 62050 63232 63682 64192 64532 64600 65195 66560 67184 68912 69350 69632 70720 71174 71744 72124 72865 73219 74752 74920 75520 75920 76228 76700 77824 79040 79424 80240 80665 81833 81920 82688 83200 83980 86140 87040 88400 88768 89680 90155 93440 93650 94316 94400 94900 95285 97280 97396 98176 98800 99280 100300 102400 103360 104312 104975 106496 107675 108800 110507 110960 111982 112100 113152 116584 116800 117895 119872 120832 121472 121600 121745 122720 124100 126464 127364 128384 129064 129200 130390 133120 134368 136729 137824 138700 139264 141440 142348 143488 144248 145730 146438 149504 149840 151040 151840 152456 153400 155648 158080 158848 159205 160480 161330 163666 165376 166400 167960 172280 174080 176800 177536 177935 179360 180310 186880 187300 188632 188800 189800 190570 194560 194792 196352 197600 198560 200600 204800 206720 208624 209950 212992 215350 217600 221014 221920 223964 224200 226304 233168 233600 235790 239744 241664 242944 243200 243490 245440 247741 248200 252928 254728 256768 258128 258400 260780 266240 268736 273458 275648 277400 278528 279955 282880 284696 286976 288496 291460 292876 299008 299680 302080 303680 304912 306527 306800 311296 316160 317696 318410 320960 322660 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731008225280 734880090880 740765409280 742430228800 769482342400 773557990400 784758830080 797020686800 805348044800 826061926400 833806256960 846834479725 859104403456 860009676800 864564812800 877690796800 904467804160 912798428672 913760281600 918600113600 925956761600 950310692864 952071372800 980948537600 1000327045120 1020186479104 1042257821200 1064079769600 1073880504320 1083948134048 1118012579840 1123444219904 1130584755200 1140998035840 1175808145408 1187888366080 1237692784640 1250408806400 1255614128128 1275233098880 1334090011136 1342350630400 1354935167560 1383303700480 1397515724800 1404305274880 1426247544800 1462016450560 1469760181760 1481530818560 1484860457600 1547115980800 1569517660160 1594041373600 1610696089600 1652123852800 1667612513920 1693668959450 1718208806912 1729129625600 1755381593600 1808935608320 1825596857344 1827520563200 1837200227200 1851913523200 1900621385728 1961897075200 2000654090240 2040372958208 2084515642400 2147761008640 2167896268096 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9044678041600 9127984286720 9406465163264 9503106928640 10003270451200 10201864791040 10672720089088 10738805043200 10839481340480 11180125798400 11234442199040 11409980358400 11758081454080 11878883660800 12376927846400 12556141281280 12752330988800 13340900111360 13549351675600 13833037004800 14043052748800 14604774858752 14620164505600 14697601817600 15695176601600 16322983665664 16676125139200 17343170144768 18089356083200 18255968573440 19006213857280 20403729582080 21345440178176 21477610086400 21678962680960 22819960716800 23516162908160 23757767321600 25504661977600 26681800222720 27098703351200 28086105497600 29209549717504 29395203635200 31390353203200 32645967331328 33352250278400 34686340289536 36511937146880 38012427714560 40807459164160 42690880356352 42955220172800 43357925361920 45639921433600 47032325816320 47515534643200 51009323955200 53363600445440 54197406702400 56172210995200 58790407270400 62780706406400 66704500556800 69372680579072 73023874293760 81614918328320 86715850723840 91279842867200 95031069286400 102018647910400 106727200890880 108394813404800 117580814540800 133409001113600 138745361158144 146047748587520 163229836656640 173431701447680 182559685734400 190062138572800 204037295820800 213454401781760 216789626809600 235161629081600 266818002227200 277490722316288 346863402895360 365119371468800 408074591641600 433579253619200 533636004454400 554981444632576 693726805790720 730238742937600 816149183283200 867158507238400 1067272008908800 1387453611581440 1734317014476800 2774907223162880 3468634028953600 6937268057907200 13874536115814400
- Sum of all divisors σ(n): 42597240714604800
- Sum of proper divisors (its aliquot sum) s(n): 28722704598790400
- 13874536115814400 is an abundant number, because the sum of its proper divisors (28722704598790400) is greater than itself. Its abundance is 14848168482976000
Bases of 13874536115814400
- Binary: 1100010100101011010001001011001001101101000000000000002
- Hexadecimal: 0x314AD12C9B4000
- Base-36: 3SM41WDG64G
Squares and roots of 13874536115814400
- 13874536115814400 squared (138745361158144002) is 192502752429038137649775247360000
- 13874536115814400 cubed (138745361158144003) is 2670886390970367857112356550431355367849984000000
-
The
square root of 13874536115814400 is 117790220.7987335425 -
The
cube root of 13874536115814400 is 240292.0987227667
Scales and comparisons
How big is 13874536115814400?- 13,874,536,115,814,400 seconds is equal to 441,167,331 years, 37 weeks, 4 days, 20 hours, 26 minutes, 40 seconds.
-
To count from 1 to 13,874,536,115,814,400 would take you about one billion, three hundred twenty-three million, five hundred one thousand, nine hundred ninety-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 13874536115814400 cubic inches would be around 20024.3 feet tall.
Recreational maths with 13874536115814400
- 13874536115814400 backwards is 00441851163547831
- The number of decimal digits it has is: 17
- The sum of 13874536115814400's digits is 61
- More coming soon!
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Cite this page
MLA style:
"Number 13874536115814400 - Facts about the integer". Numbermatics.com. 2024. Web. 11 May 2024.
APA style:
Numbermatics. (2024). Number 13874536115814400 - Facts about the integer. Retrieved 11 May 2024, from https://numbermatics.com/n/13874536115814400/
Chicago style:
Numbermatics. 2024. "Number 13874536115814400 - Facts about the integer". https://numbermatics.com/n/13874536115814400/
The information we have on file for 13874536115814400 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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