138334775040
138,334,775,040 is an even composite number composed of seven prime numbers multiplied together.
138334775040 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 138334775040:
28 × 32 × 5 × 7 × 11 × 277 × 563
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 11 × 277 × 563)See below for interesting mathematical facts about the number 138334775040 from the Numbermatics database.
Names of 138334775040
- Cardinal: 138334775040 can be written as One hundred thirty-eight billion, three hundred thirty-four million, seven hundred seventy-five thousand and forty.
Scientific notation
- Scientific notation: 1.3833477504 × 1011
Factors of 138334775040
Divisors of 138334775040
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 28 30 32 33 35 36 40 42 44 45 48 55 56 60 63 64 66 70 72 77 80 84 88 90 96 99 105 110 112 120 126 128 132 140 144 154 160 165 168 176 180 192 198 210 220 224 231 240 252 256 264 277 280 288 308 315 320 330 336 352 360 384 385 396 420 440 448 462 480 495 504 528 554 560 563 576 616 630 640 660 672 693 704 720 768 770 792 831 840 880 896 924 960 990 1008 1056 1108 1120 1126 1152 1155 1232 1260 1280 1320 1344 1385 1386 1408 1440 1540 1584 1662 1680 1689 1760 1792 1848 1920 1939 1980 2016 2112 2216 2240 2252 2304 2310 2464 2493 2520 2640 2688 2770 2772 2815 2816 2880 3047 3080 3168 3324 3360 3378 3465 3520 3696 3840 3878 3941 3960 4032 4155 4224 4432 4480 4504 4620 4928 4986 5040 5067 5280 5376 5540 5544 5630 5760 5817 6094 6160 6193 6336 6648 6720 6756 6930 7040 7392 7756 7882 7920 8064 8310 8445 8448 8864 8960 9008 9141 9240 9695 9856 9972 10080 10134 10560 11080 11088 11260 11520 11634 11823 12188 12320 12386 12465 12672 13296 13440 13512 13860 14080 14784 15235 15512 15764 15840 16128 16620 16890 17451 17728 18016 18282 18480 18579 19390 19705 19712 19944 20160 20268 21120 21329 22160 22176 22520 23268 23646 24376 24640 24772 24930 25335 25344 26592 26880 27024 27423 27720 29085 29568 30470 30965 31024 31528 31680 33240 33780 34902 35456 35469 36032 36564 36960 37158 38780 39410 39888 40320 40536 42240 42658 43351 44320 44352 45040 45705 46536 47292 48752 49280 49544 49860 50670 53184 54048 54846 55440 55737 58170 59115 59136 60940 61930 62048 63056 63360 63987 66480 67560 69804 70912 70938 72064 73128 73920 74316 77560 78820 79776 80640 81072 85316 86702 87255 88640 88704 90080 91410 92895 93072 94584 97504 98560 99088 99720 101340 106368 106645 108096 109692 110880 111474 116340 118230 121880 123860 124096 126112 126720 127974 130053 132960 135120 137115 139608 141876 144128 146256 147840 148632 155120 155951 157640 159552 162144 170632 173404 174510 177280 177345 177408 180160 182820 185790 186144 189168 191961 195008 198176 199440 202680 212736 213290 216192 216755 219384 221760 222948 232680 236460 243760 247720 248192 252224 255948 260106 265920 270240 274230 278685 279216 283752 292512 295680 297264 310240 311902 315280 319104 319935 324288 341264 346808 349020 354560 354690 360320 365640 371580 372288 378336 383922 390016 390159 396352 398880 405360 426580 432384 433510 438768 443520 445896 465360 467853 472920 487520 495440 496384 504448 511896 520212 531840 540480 548460 557370 558432 567504 585024 594528 620480 623804 630560 638208 639870 648576 650265 682528 693616 698040 709380 720640 731280 743160 744576 756672 767844 779755 780032 780318 792704 797760 810720 853160 867020 877536 887040 891792 930720 935706 945840 959805 975040 990880 1008896 1023792 1040424 1063680 1080960 1091657 1096920 1114740 1116864 1135008 1170048 1189056 1240960 1247608 1261120 1279740 1297152 1300530 1365056 1387232 1396080 1403559 1418760 1462560 1486320 1489152 1513344 1535688 1559510 1560636 1585408 1595520 1621440 1706320 1715461 1734040 1755072 1783584 1861440 1871412 1891680 1919610 1950080 1950795 1981760 2047584 2080848 2161920 2183314 2193840 2229480 2233728 2270016 2339265 2340096 2378112 2481920 2495216 2522240 2559480 2601060 2730112 2774464 2792160 2807118 2837520 2925120 2972640 3026688 3071376 3119020 3121272 3191040 3242880 3274971 3412640 3430922 3468080 3510144 3567168 3722880 3742824 3783360 3839220 3900160 3901590 3963520 4095168 4161696 4366628 4387680 4458960 4467456 4540032 4678530 4756224 4990432 5044480 5118960 5146383 5202120 5458285 5460224 5548928 5584320 5614236 5675040 5850240 5945280 6142752 6238040 6242544 6485760 6549942 6825280 6861844 6936160 7017795 7020288 7134336 7445760 7485648 7566720 7678440 7803180 7927040 8190336 8323392 8577305 8733256 8775360 8917920 9080064 9357060 9824913 9980864 10237920 10292766 10404240 10916570 11097856 11168640 11228472 11350080 11700480 11890560 12008227 12285504 12476080 12485088 13099884 13650560 13723688 13872320 14035590 14268672 14971296 15133440 15356880 15439149 15606360 16374855 16380672 16646784 17154610 17466512 17550720 17835840 18714120 19649826 19961728 20475840 20585532 20808480 21833140 22337280 22456944 22700160 23781120 24016454 24571008 24952160 24970176 25731915 26199768 27301120 27447376 27744640 28071180 29942592 30713760 30878298 31212720 32749710 33293568 34309220 34933024 35101440 35671680 36024681 37428240 39299652 39923456 40951680 41171064 41616960 43666280 44913888 45400320 48032908 49124565 49142016 49904320 49940352 51463830 52399536 54894752 55489280 56142360 59885184 60041135 61427520 61756596 62425440 65499420 68618440 69866048 71343360 72049362 74856480 77195745 78599304 81903360 82342128 83233920 87332560 89827776 96065816 98249130 99808640 99880704 102927660 104799072 108074043 109789504 112284720 119770368 120082270 122855040 123513192 124850880 130998840 137236880 139732096 144098724 149712960 154391490 157198608 164684256 166467840 174665120 179655552 180123405 192131632 196498260 199617280 205855320 209598144 216148086 219579008 224569440 240164540 245710080 247026384 249701760 261997680 274473760 279464192 288197448 299425920 308782980 314397216 329368512 349330240 359311104 360246810 384263264 392996520 411710640 419196288 432296172 439158016 449138880 480329080 494052768 499403520 523995360 540370215 548947520 576394896 598851840 617565960 628794432 658737024 698660480 720493620 768526528 785993040 823421280 838392576 864592344 898277760 960658160 988105536 1047990720 1080740430 1097895040 1152789792 1235131920 1257588864 1317474048 1397320960 1440987240 1537053056 1571986080 1646842560 1729184688 1796555520 1921316320 1976211072 2095981440 2161480860 2195790080 2305579584 2470263840 2515177728 2881974480 3074106112 3143972160 3293685120 3458369376 3842632640 3952422144 4191962880 4322961720 4611159168 4940527680 5763948960 6287944320 6587370240 6916738752 7685265280 8645923440 9222318336 9881055360 11527897920 12575888640 13833477504 15370530560 17291846880 19762110720 23055795840 27666955008 34583693760 46111591680 69167387520 138334775040
- Sum of all divisors σ(n): 599943891456
- Sum of proper divisors (its aliquot sum) s(n): 461609116416
- 138334775040 is an abundant number, because the sum of its proper divisors (461609116416) is greater than itself. Its abundance is 323274341376
Bases of 138334775040
- Binary: 100000001101010110010100100111000000002
- Hexadecimal: 0x2035652700
- Base-36: 1RJSYBK0
Squares and roots of 138334775040
- 138334775040 squared (1383347750402) is 19136509985367407001600
- 138334775040 cubed (1383347750403) is 2647244803876513939314456920064000
-
The
square root of 138334775040 is 371933.8315345889 -
The
cube root of 138334775040 is 5171.8246217559
Scales and comparisons
How big is 138334775040?- 138,334,775,040 seconds is equal to 4,398 years, 32 weeks, 22 hours, 24 minutes.
-
To count from 1 to 138,334,775,040 would take you about eight thousand, seven hundred ninety-seven 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 138334775040 cubic inches would be around 431 feet tall.
Recreational maths with 138334775040
- 138334775040 backwards is 040577433831
- 138334775040 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138334775040's digits is 45
- More coming soon!
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