13984137378816
13,984,137,378,816 is an even composite number composed of six prime numbers multiplied together.
13984137378816 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred eighty-eight divisors.
Prime factorization of 13984137378816:
210 × 3 × 112 × 192 × 232 × 197
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 11 × 11 × 19 × 19 × 23 × 23 × 197)See below for interesting mathematical facts about the number 13984137378816 from the Numbermatics database.
Names of 13984137378816
- Cardinal: 13984137378816 can be written as Thirteen trillion, nine hundred eighty-four billion, one hundred thirty-seven million, three hundred seventy-eight thousand, eight hundred sixteen.
Scientific notation
- Scientific notation: 1.3984137378816 × 1013
Factors of 13984137378816
Divisors of 13984137378816
- Number of divisors d(n): 1188
-
Complete list of divisors:
1 2 3 4 6 8 11 12 16 19 22 23 24 32 33 38 44 46 48 57 64 66 69 76 88 92 96 114 121 128 132 138 152 176 184 192 197 209 228 242 253 256 264 276 304 352 361 363 368 384 394 418 437 456 484 506 512 528 529 552 591 608 627 704 722 726 736 759 768 788 836 874 912 968 1012 1024 1056 1058 1083 1104 1182 1216 1254 1311 1408 1444 1452 1472 1518 1536 1576 1587 1672 1748 1824 1936 2024 2112 2116 2166 2167 2208 2299 2364 2432 2508 2622 2783 2816 2888 2904 2944 3036 3072 3152 3174 3344 3496 3648 3743 3872 3971 4048 4224 4232 4332 4334 4416 4531 4598 4728 4807 4864 5016 5244 5566 5632 5776 5808 5819 5888 6072 6304 6348 6501 6688 6897 6992 7296 7486 7744 7942 8096 8303 8349 8448 8464 8664 8668 8832 9062 9196 9456 9614 9728 10032 10051 10488 11132 11229 11264 11552 11616 11638 11776 11913 12144 12608 12696 13002 13376 13593 13794 13984 14421 14592 14972 15488 15884 16192 16606 16698 16896 16928 17328 17336 17457 17664 18124 18392 18912 19228 19456 20064 20102 20976 22264 22458 23104 23232 23276 23552 23826 23837 24288 24909 25216 25392 26004 26752 27186 27588 27968 28842 29184 29944 30153 30976 31768 32384 33212 33396 33792 33856 34656 34672 34914 35328 36248 36784 37824 38456 40128 40204 41173 41952 43681 44528 44916 46208 46464 46552 47652 47674 48576 49818 49841 50432 50784 52008 52877 53504 54372 55176 55936 57684 58368 59888 60306 61952 63536 64009 64768 66424 66792 67712 69312 69344 69828 70656 71117 71511 72496 73568 75648 76912 80256 80408 82346 83904 86089 87362 89056 89832 91333 92416 92928 93104 95304 95348 97152 99636 99682 100864 101568 104016 104213 105754 107008 108744 110352 110561 111872 115368 119776 120612 123519 123904 127072 128018 129536 131043 132848 133584 135424 138624 138688 139656 142234 143022 144992 147136 149523 151296 153824 158631 160512 160816 164692 167808 172178 174724 178112 179664 182666 184832 185856 186208 190608 190696 190969 192027 194304 199272 199364 201728 203136 208032 208426 211508 213351 214016 217488 220704 221122 223744 230736 239552 241224 247038 254144 256036 258267 259072 262086 265696 267168 270848 273999 277248 277376 279312 284468 286044 289984 294272 299046 302592 307648 312639 317262 321024 321632 329384 331683 335616 344356 349448 356224 359328 365332 369664 371712 372416 381216 381392 381938 384054 388608 398544 398728 406272 416064 416852 423016 426702 434976 441408 442244 447488 452903 461472 479104 482448 494076 508288 512072 516534 524172 531392 534336 541696 547998 548251 554496 554752 558624 568936 572088 572907 579968 588544 598092 605184 615296 625278 634524 642048 643264 658768 663366 671232 688712 698896 712448 718656 730664 744832 762432 762784 763876 768108 777216 782287 797088 797456 812544 832128 833704 846032 853404 869952 882816 884488 905806 922944 946979 958208 964896 988152 1004663 1016576 1024144 1033068 1048344 1062784 1068672 1095996 1096502 1108992 1109504 1117248 1137872 1144176 1145814 1146343 1159936 1177088 1196184 1216171 1230592 1250556 1269048 1286528 1317536 1326732 1342464 1358709 1377424 1397792 1424896 1437312 1461328 1489664 1524864 1525568 1527752 1536216 1564574 1594176 1594912 1625088 1635691 1644753 1664256 1667408 1692064 1706808 1739904 1765632 1768976 1811612 1845888 1893958 1916416 1929792 1976304 1980047 2009326 2033152 2048288 2066136 2096688 2100659 2125568 2137344 2191992 2193004 2219008 2234496 2275744 2288352 2291628 2292686 2319872 2346861 2354176 2392368 2432342 2461184 2501112 2538096 2573056 2635072 2653464 2717418 2754848 2795584 2840937 2849792 2874624 2922656 2979328 3013989 3049728 3051136 3055504 3072432 3129148 3188352 3189824 3271382 3289506 3328512 3334816 3384128 3413616 3439029 3479808 3531264 3537952 3623224 3648513 3691776 3787916 3832832 3859584 3952608 3960094 4018652 4066304 4096576 4132272 4193376 4201318 4251136 4274688 4383984 4386008 4468992 4551488 4576704 4583256 4585372 4639744 4693722 4784736 4864684 4907073 4922368 5002224 5076192 5146112 5270144 5306928 5434836 5509696 5591168 5681874 5749248 5845312 5940141 5958656 6027978 6099456 6102272 6111008 6144864 6258296 6301977 6376704 6379648 6542764 6579012 6657024 6669632 6768256 6827232 6878058 6959616 7062528 7075904 7246448 7297026 7383552 7575832 7719168 7905216 7920188 8037304 8193152 8264544 8386752 8402636 8502272 8549376 8605157 8767968 8772016 8937984 9102976 9153408 9166512 9170744 9387444 9569472 9729368 9814146 10004448 10152384 10292224 10416769 10540288 10613856 10869672 11019392 11182336 11363748 11498496 11690624 11880282 12055956 12198912 12204544 12222016 12289728 12516592 12603954 12609773 12753408 12759296 13085528 13158024 13339264 13536512 13654464 13756116 13919232 14151808 14492896 14594052 14767104 15151664 15438336 15810432 15840376 16074608 16386304 16529088 16773504 16805272 17210314 17535936 17544032 17875968 17992601 18205952 18306816 18333024 18341488 18774888 19138944 19458736 19628292 20008896 20304768 20833538 21080576 21227712 21739344 21780517 22038784 22364672 22727496 23107249 23381248 23760564 24111912 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440195712 451450716 463772672 467009664 479171374 484853248 500004912 506892032 514387456 522732408 537768704 550730048 554573976 561409024 575763232 586656768 586927616 593755833 600796416 601934288 605269104 622679552 628105344 666673216 695659008 696976544 718757061 727279872 739431968 760338048 771581184 791674444 801061888 806653056 807025472 826095072 827659646 837473792 842113536 863644848 880391424 902901432 934019328 958342748 969706496 1000009824 1013784064 1028774912 1045464816 1075537408 1101460096 1109147952 1151526464 1173855232 1187511666 1201592832 1203868576 1210538208 1241489469 1245359104 1256210688 1333346432 1391318016 1393953088 1437514122 1454559744 1478863936 1520676096 1543162368 1583348888 1613306112 1614050944 1652190144 1655319292 1674947584 1684227072 1727289696 1760782848 1805802864 1868038656 1916685496 2000019648 2027568128 2090929632 2151074816 2202920192 2218295904 2303052928 2375023332 2403185664 2407737152 2421076416 2482978938 2512421376 2666692864 2787906176 2875028244 2909119488 2957727872 3041352192 3086324736 3166697776 3226612224 3228101888 3304380288 3310638584 3454579392 3521565696 3611605728 3736077312 3833370992 4000039296 4181859264 4405840384 4436591808 4552128053 4606105856 4750046664 4815474304 4842152832 4965957876 5024842752 5333385728 5575812352 5750056488 5915455744 6082704384 6333395552 6453224448 6456203776 6608760576 6621277168 6909158784 7223211456 7666741984 8000078592 8363718528 8811680768 8873183616 9104256106 9212211712 9500093328 9630948608 9684305664 9931915752 10666771456 11151624704 11500112976 11830911488 12666791104 12912407552 13217521152 13242554336 13656384159 13818317568 14446422912 15333483968 16000157184 16727437056 17746367232 18208512212 18424423424 19000186656 19261897216 19368611328 19863831504 22303249408 23000225952 23661822976 25333582208 26435042304 26485108672 27312768318 27636635136 28892845824 30666967936 32000314368 33454874112 35492734464 36417024424 38000373312 38523794432 38737222656 39727663008 46000451904 50667164416 52970217344 54625536636 55273270272 57785691648 61333935872 66909748224 70985468928 72834048848 76000746624 79455326016 92000903808 101334328832 105940434688 109251073272 115571383296 122667871744 145668097696 152001493248 158910652032 184001807616 202668657664 211880869376 218502146544 245335743488 291336195392 304002986496 317821304064 368003615232 423761738752 437004293088 582672390784 608005972992 635642608128 736007230464 874008586176 1165344781568 1271285216256 1748017172352 2330689563136 3496034344704 4661379126272 6992068689408 13984137378816
- Sum of all divisors σ(n): 45430212914856
- Sum of proper divisors (its aliquot sum) s(n): 31446075536040
- 13984137378816 is an abundant number, because the sum of its proper divisors (31446075536040) is greater than itself. Its abundance is 17461938157224
Bases of 13984137378816
- Binary: 110010110111111011111000101001111100000000002
- Hexadecimal: 0xCB7EF8A7C00
- Base-36: 4YG82C2YO
Squares and roots of 13984137378816
- 13984137378816 squared (139841373788162) is 195556098229598827085561856
- 13984137378816 cubed (139841373788163) is 2734683342907946359947516997522472042496
-
The
square root of 13984137378816 is 3739537.0540771493 -
The
cube root of 13984137378816 is 24092.3165412671
Scales and comparisons
How big is 13984137378816?- 13,984,137,378,816 seconds is equal to 444,652 years, 16 weeks, 1 day, 21 hours, 13 minutes, 36 seconds.
-
To count from 1 to 13,984,137,378,816 would take you about one million, one hundred eleven thousand, six hundred thirty 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 13984137378816 cubic inches would be around 2007.7 feet tall.
Recreational maths with 13984137378816
- 13984137378816 backwards is 61887373148931
- 13984137378816 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13984137378816's digits is 69
- More coming soon!
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The information we have on file for 13984137378816 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!
Keywords: Divisors of 13984137378816, math, Factors of 13984137378816, curriculum, school, college, exams, university, Prime factorization of 13984137378816, STEM, science, technology, engineering, physics, economics, calculator, thirteen trillion, nine hundred eighty-four billion, one hundred thirty-seven million, three hundred seventy-eight thousand, eight hundred sixteen.