138517283840
138,517,283,840 is an even composite number composed of six prime numbers multiplied together.
What does the number 138517283840 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 528 divisors.
138517283840 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred twenty-eight divisors.
Prime factorization of 138517283840:
210 × 5 × 13 × 172 × 19 × 379
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 13 × 17 × 17 × 19 × 379)See below for interesting mathematical facts about the number 138517283840 from the Numbermatics database.
Names of 138517283840
- Cardinal: 138517283840 can be written as One hundred thirty-eight billion, five hundred seventeen million, two hundred eighty-three thousand, eight hundred forty.
Scientific notation
- Scientific notation: 1.3851728384 × 1011
Factors of 138517283840
Divisors of 138517283840
- Number of divisors d(n): 528
-
Complete list of divisors:
1 2 4 5 8 10 13 16 17 19 20 26 32 34 38 40 52 64 65 68 76 80 85 95 104 128 130 136 152 160 170 190 208 221 247 256 260 272 289 304 320 323 340 379 380 416 442 494 512 520 544 578 608 640 646 680 758 760 832 884 988 1024 1040 1088 1105 1156 1216 1235 1280 1292 1360 1445 1516 1520 1615 1664 1768 1895 1976 2080 2176 2210 2312 2432 2470 2560 2584 2720 2890 3032 3040 3230 3328 3536 3757 3790 3952 4160 4199 4352 4420 4624 4864 4927 4940 5120 5168 5440 5491 5780 6064 6080 6443 6460 6656 7072 7201 7514 7580 7904 8320 8398 8704 8840 9248 9728 9854 9880 10336 10880 10982 11560 12128 12160 12886 12920 13312 14144 14402 15028 15160 15808 16640 16796 17408 17680 18496 18785 19456 19708 19760 20672 20995 21760 21964 23120 24256 24320 24635 25772 25840 27455 28288 28804 30056 30320 31616 32215 33280 33592 35360 36005 36992 37570 39416 39520 41344 41990 43520 43928 46240 48512 48640 49270 51544 51680 54910 56576 57608 60112 60640 63232 64430 66560 67184 70720 71383 72010 73984 75140 78832 79040 82688 83759 83980 87040 87856 92480 93613 97024 97280 98540 103088 103360 109531 109820 113152 115216 120224 121280 122417 126464 128860 134368 141440 142766 144020 147968 150280 157664 158080 165376 167518 167960 175712 184960 187226 194048 197080 206176 206720 219062 219640 226304 230432 240448 242560 244834 252928 257720 268736 282880 285532 288040 295936 300560 315328 316160 330752 335036 335920 351424 356915 369920 374452 388096 394160 412352 413440 418795 438124 439280 460864 468065 480896 485120 489668 515440 537472 547655 565760 571064 576080 601120 612085 630656 632320 670072 671840 702848 713830 739840 748904 788320 824704 826880 837590 876248 878560 921728 936130 961792 970240 979336 1030880 1074944 1095310 1131520 1142128 1152160 1202240 1224170 1261312 1264640 1340144 1343680 1405696 1423903 1427660 1479680 1497808 1576640 1591421 1649408 1653760 1675180 1752496 1757120 1843456 1872260 1923584 1940480 1958672 2061760 2081089 2149888 2190620 2284256 2304320 2404480 2448340 2522624 2680288 2687360 2811392 2847806 2855320 2995616 3153280 3182842 3298816 3350360 3504992 3514240 3686912 3744520 3847168 3917344 4123520 4162178 4299776 4381240 4568512 4608640 4808960 4896680 5045248 5360576 5374720 5622784 5695612 5710640 5991232 6306560 6365684 6597632 6700720 7009984 7028480 7119515 7373824 7489040 7834688 7957105 8247040 8324356 8762480 9137024 9217280 9617920 9793360 10405445 10721152 10749440 11391224 11421280 11982464 12613120 12731368 13401440 14019968 14056960 14239030 14978080 15669376 15914210 16494080 16648712 17524960 18274048 18434560 19235840 19586720 20810890 21442304 21498880 22782448 22842560 23964928 25226240 25462736 26802880 27054157 28039936 28113920 28478060 29956160 31338752 31828420 32988160 33297424 35049920 36548096 36869120 39173440 41621780 42884608 45564896 45685120 47929856 50925472 53605760 54108314 56079872 56956120 59912320 62677504 63656840 66594848 70099840 73096192 78346880 83243560 85769216 91129792 91370240 95859712 101850944 107211520 108216628 112159744 113912240 119824640 125355008 127313680 133189696 135270785 140199680 156693760 166487120 182259584 182740480 203701888 214423040 216433256 227824480 239649280 254627360 266379392 270541570 280399360 313387520 332974240 364519168 365480960 407403776 428846080 432866512 455648960 479298560 509254720 532758784 541083140 560798720 626775040 665948480 729038336 814807552 865733024 911297920 1018509440 1065517568 1082166280 1331896960 1458076672 1629615104 1731466048 1822595840 2037018880 2131035136 2164332560 2663793920 3462932096 3645191680 4074037760 4328665120 5327587840 6925864192 7290383360 8148075520 8657330240 10655175680 13851728384 17314660480 27703456768 34629320960 69258641920 138517283840
- Sum of all divisors σ(n): 401189073600
- Sum of proper divisors (its aliquot sum) s(n): 262671789760
- 138517283840 is an abundant number, because the sum of its proper divisors (262671789760) is greater than itself. Its abundance is 124154505920
Bases of 138517283840
- Binary: 100000010000000100011000000100000000002
- Hexadecimal: 0x2040460400
- Base-36: 1RMTM48W
Squares and roots of 138517283840
- 138517283840 squared (1385172838402) is 19187037922411125145600
- 138517283840 cubed (1385172838403) is 2657736377947465718966836527104000
-
The
square root of 138517283840 is 372179.1018313629 -
The
cube root of 138517283840 is 5174.0980648179
Scales and comparisons
How big is 138517283840?- 138,517,283,840 seconds is equal to 4,404 years, 21 weeks, 6 days, 7 hours, 17 minutes, 20 seconds.
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To count from 1 to 138,517,283,840 would take you about eight thousand, eight 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 138517283840 cubic inches would be around 431.2 feet tall.
Recreational maths with 138517283840
- 138517283840 backwards is 048382715831
- The number of decimal digits it has is: 12
- The sum of 138517283840's digits is 50
- More coming soon!
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