138102849711008
138,102,849,711,008 is an even composite number composed of six prime numbers multiplied together.
What does the number 138102849711008 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 288 divisors.
138102849711008 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 138102849711008:
25 × 7 × 13 × 172 × 313 × 524287
(2 × 2 × 2 × 2 × 2 × 7 × 13 × 17 × 17 × 313 × 524287)See below for interesting mathematical facts about the number 138102849711008 from the Numbermatics database.
Names of 138102849711008
- Cardinal: 138102849711008 can be written as One hundred thirty-eight trillion, one hundred two billion, eight hundred forty-nine million, seven hundred eleven thousand and eight.
Scientific notation
- Scientific notation: 1.38102849711008 × 1014
Factors of 138102849711008
Divisors of 138102849711008
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 4 7 8 13 14 16 17 26 28 32 34 52 56 68 91 104 112 119 136 182 208 221 224 238 272 289 313 364 416 442 476 544 578 626 728 884 952 1156 1252 1456 1547 1768 1904 2023 2191 2312 2504 2912 3094 3536 3757 3808 4046 4069 4382 4624 5008 5321 6188 7072 7514 8092 8138 8764 9248 10016 10642 12376 15028 16184 16276 17528 21284 24752 26299 28483 30056 32368 32552 35056 37247 42568 49504 52598 56966 60112 64736 65104 69173 70112 74494 85136 90457 105196 113932 120224 130208 138346 148988 170272 180914 210392 227864 276692 297976 361828 420784 455728 484211 524287 553384 595952 633199 723656 841568 911456 968422 1048574 1106768 1175941 1191904 1266398 1447312 1936844 2097148 2213536 2351882 2532796 2894624 3670009 3873688 4194296 4703764 5065592 6815731 7340018 7747376 8231587 8388592 8912879 9407528 10131184 13631462 14680036 15494752 16463174 16777184 17825758 18815056 20262368 27262924 29360072 32926348 35651516 37630112 47710117 54525848 58720144 62390153 65852696 71303032 95420234 109051696 115867427 117440288 124780306 131705392 142606064 151518943 164101831 190840468 218103392 231734854 249560612 263410784 285212128 303037886 328203662 381680936 463469708 499121224 606075772 656407324 763361872 811071989 926939416 998242448 1060632601 1148712817 1212151544 1312814648 1526723744 1622143978 1853878832 1969746259 1996484896 2121265202 2133323803 2297425634 2424303088 2625629296 2789731127 3244287956 3707757664 3939492518 4242530404 4266647606 4594851268 4848606176 5251258592 5579462254 6488575912 7878985036 8485060808 8533295212 9189702536 11158924508 12977151824 13788223813 14933266621 15757970072 16970121616 17066590424 18379405072 19528117889 22317849016 25954303648 27576447626 29866533242 31515940144 33940243232 34133180848 36266504651 36758810144 39056235778 44635698032 47425429159 55152895252 59733066484 63031880288 68266361696 72533009302 78112471556 89271396064 94850858318 110305790504 119466132968 145066018604 156224943112 189701716636 220611581008 238932265936 253865532557 290132037208 312449886224 331978004113 379403433272 441223162016 477864531872 507731065114 580264074416 616530579067 624899772448 663956008226 758806866544 1015462130228 1160528148832 1233061158134 1327912016452 1517613733088 2030924260456 2466122316268 2655824032904 4061848520912 4315714053469 4932244632536 5311648065808 8123697041824 8631428106938 9864489265072 10623296131616 17262856213876 19728978530144 34525712427752 69051424855504 138102849711008
- Sum of all divisors σ(n): 356612459986944
- Sum of proper divisors (its aliquot sum) s(n): 218509610275936
- 138102849711008 is an abundant number, because the sum of its proper divisors (218509610275936) is greater than itself. Its abundance is 80406760564928
Bases of 138102849711008
- Binary: 111110110011010100100110100110010101011101000002
- Hexadecimal: 0x7D9A934CABA0
- Base-36: 1CYBKN0AE8
Squares and roots of 138102849711008
- 138102849711008 squared (1381028497110082) is 19072397098301262429116376064
- 138102849711008 cubed (1381028497110083) is 2633952390095364317826616084194982648512512
-
The
square root of 138102849711008 is 11751716.8835454847 -
The
cube root of 138102849711008 is 51689.3272881017
Scales and comparisons
How big is 138102849711008?- 138,102,849,711,008 seconds is equal to 4,391,243 years, 22 weeks, 6 days, 9 hours, 30 minutes, 8 seconds.
-
To count from 1 to 138,102,849,711,008 would take you about ten million, nine hundred seventy-eight thousand, one hundred eight 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 138102849711008 cubic inches would be around 4307.4 feet tall.
Recreational maths with 138102849711008
- 138102849711008 backwards is 800117948201831
- The number of decimal digits it has is: 15
- The sum of 138102849711008's digits is 53
- More coming soon!
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