138329600640
138,329,600,640 is an even composite number composed of six prime numbers multiplied together.
138329600640 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 138329600640:
27 × 3 × 5 × 7 × 112 × 85061
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 11 × 11 × 85061)See below for interesting mathematical facts about the number 138329600640 from the Numbermatics database.
Names of 138329600640
- Cardinal: 138329600640 can be written as One hundred thirty-eight billion, three hundred twenty-nine million, six hundred thousand, six hundred forty.
Scientific notation
- Scientific notation: 1.3832960064 × 1011
Factors of 138329600640
Divisors of 138329600640
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 28 30 32 33 35 40 42 44 48 55 56 60 64 66 70 77 80 84 88 96 105 110 112 120 121 128 132 140 154 160 165 168 176 192 210 220 224 231 240 242 264 280 308 320 330 336 352 363 384 385 420 440 448 462 480 484 528 560 605 616 640 660 672 704 726 770 840 847 880 896 924 960 968 1056 1120 1155 1210 1232 1320 1344 1408 1452 1540 1680 1694 1760 1815 1848 1920 1936 2112 2240 2310 2420 2464 2541 2640 2688 2904 3080 3360 3388 3520 3630 3696 3872 4224 4235 4480 4620 4840 4928 5082 5280 5808 6160 6720 6776 7040 7260 7392 7744 8470 9240 9680 9856 10164 10560 11616 12320 12705 13440 13552 14520 14784 15488 16940 18480 19360 20328 21120 23232 24640 25410 27104 29040 29568 33880 36960 38720 40656 46464 49280 50820 54208 58080 67760 73920 77440 81312 85061 101640 108416 116160 135520 147840 162624 170122 203280 232320 255183 271040 325248 340244 406560 425305 510366 542080 595427 680488 813120 850610 935671 1020732 1190854 1275915 1360976 1626240 1701220 1786281 1871342 2041464 2381708 2551830 2721952 2807013 2977135 3402440 3572562 3742684 4082928 4678355 4763416 5103660 5443904 5614026 5954270 6549697 6804880 7145124 7485368 8165856 8931405 9356710 9526832 10207320 10292381 10887808 11228052 11908540 13099394 13609760 14035065 14290248 14970736 16331712 17862810 18713420 19053664 19649091 20414640 20584762 22456104 23817080 26198788 27219520 28070130 28580496 29941472 30877143 32663424 32748485 35725620 37426840 38107328 39298182 40829280 41169524 44912208 47634160 51461905 52397576 54439040 56140260 57160992 59882944 61754286 65496970 71451240 72046667 74853680 76214656 78596364 81658560 82339048 89824416 95268320 98245455 102923810 104795152 112280520 114321984 119765888 123508572 130993940 142902480 144093334 149707360 154385715 157192728 163317120 164678096 179648832 190536640 196490910 205847620 209590304 216140001 224561040 228643968 247017144 261987880 285804960 288186668 299414720 308771430 314385456 329356192 359297664 360233335 381073280 392981820 411695240 419180608 432280002 449122080 494034288 523975760 571609920 576373336 598829440 617542860 628770912 658712384 720466670 785963640 823390480 838361216 864560004 898244160 988068576 1047951520 1080700005 1143219840 1152746672 1235085720 1257541824 1317424768 1440933340 1571927280 1646780960 1729120008 1796488320 1976137152 2095903040 2161400010 2305493344 2470171440 2515083648 2881866680 3143854560 3293561920 3458240016 3952274304 4191806080 4322800020 4610986688 4940342880 5763733360 6287709120 6587123840 6916480032 8645600040 9221973376 9880685760 11527466720 12575418240 13832960064 17291200080 19761371520 23054933440 27665920128 34582400160 46109866880 69164800320 138329600640
- Sum of all divisors σ(n): 553896524160
- Sum of proper divisors (its aliquot sum) s(n): 415566923520
- 138329600640 is an abundant number, because the sum of its proper divisors (415566923520) is greater than itself. Its abundance is 277237322880
Bases of 138329600640
- Binary: 100000001101010001011000110010100000002
- Hexadecimal: 0x2035163280
- Base-36: 1RJPVEYO
Squares and roots of 138329600640
- 138329600640 squared (1383296006402) is 19135078413221888409600
- 138329600640 cubed (1383296006403) is 2646947755116068719406612742144000
-
The
square root of 138329600640 is 371926.8753935375 -
The
cube root of 138329600640 is 5171.7601370713
Scales and comparisons
How big is 138329600640?- 138,329,600,640 seconds is equal to 4,398 years, 23 weeks, 4 days, 1 hour, 4 minutes.
-
To count from 1 to 138,329,600,640 would take you about eight thousand, seven hundred ninety-six 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 138329600640 cubic inches would be around 431 feet tall.
Recreational maths with 138329600640
- 138329600640 backwards is 046006923831
- 138329600640 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138329600640's digits is 42
- More coming soon!
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