138133744560
138,133,744,560 is an even composite number composed of seven prime numbers multiplied together.
138133744560 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 138133744560:
24 × 32 × 5 × 7 × 67 × 127 × 3221
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 67 × 127 × 3221)See below for interesting mathematical facts about the number 138133744560 from the Numbermatics database.
Names of 138133744560
- Cardinal: 138133744560 can be written as One hundred thirty-eight billion, one hundred thirty-three million, seven hundred forty-four thousand, five hundred sixty.
Scientific notation
- Scientific notation: 1.3813374456 × 1011
Factors of 138133744560
Divisors of 138133744560
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 67 70 72 80 84 90 105 112 120 126 127 134 140 144 168 180 201 210 240 252 254 268 280 315 335 336 360 381 402 420 469 504 508 536 560 603 630 635 670 720 762 804 840 889 938 1005 1008 1016 1072 1143 1206 1260 1270 1340 1407 1524 1608 1680 1778 1876 1905 2010 2032 2286 2345 2412 2520 2540 2667 2680 2814 3015 3048 3216 3221 3556 3752 3810 4020 4221 4445 4572 4690 4824 5040 5080 5334 5360 5628 5715 6030 6096 6442 7035 7112 7504 7620 8001 8040 8442 8509 8890 9144 9380 9648 9663 10160 10668 11256 11430 12060 12884 13335 14070 14224 15240 16002 16080 16105 16884 17018 17780 18288 18760 19326 21105 21336 22512 22547 22860 24120 25527 25768 26670 28140 28989 30480 32004 32210 33768 34036 35560 37520 38652 40005 42210 42545 42672 45094 45720 48240 48315 51054 51536 53340 56280 57978 59563 64008 64420 67536 67641 68072 71120 76581 77304 80010 84420 85090 90188 91440 96630 102108 106680 112560 112735 115956 119126 127635 128016 128840 135282 136144 144945 153162 154608 160020 168840 170180 178689 180376 193260 202923 204216 213360 215807 225470 231912 238252 255270 257680 270564 289890 297815 306324 320040 337680 338205 340360 357378 360752 382905 386520 405846 408432 409067 431614 450940 463824 476504 510540 536067 541128 579780 595630 612648 640080 647421 676410 680720 714756 765810 773040 811692 818134 863228 893445 901880 953008 1014615 1021080 1072134 1079035 1082256 1159560 1191260 1225296 1227201 1294842 1352820 1429512 1510649 1531620 1623384 1636268 1726456 1786890 1803760 1942263 2029230 2042160 2045335 2144268 2158070 2319120 2382520 2454402 2589684 2680335 2705640 2859024 2863469 3021298 3063240 3237105 3246768 3272536 3452912 3573780 3681603 3884526 4058460 4090670 4288536 4316140 4531947 4765040 4908804 5179368 5360670 5411280 5726938 6042596 6126480 6136005 6474210 6545072 7147560 7363206 7553245 7769052 8116920 8181340 8577072 8590407 8632280 9063894 9711315 9817608 10358736 10721340 11453876 12085192 12272010 12948420 13595841 14295120 14317345 14726412 15106490 15538104 16233840 16362680 17180814 17264560 18127788 18408015 19422630 19635216 21442680 22659735 22907752 24170384 24544020 25771221 25896840 27191682 27407489 28634690 29452824 30212980 31076208 32725360 34361628 36255576 36816030 38845260 42885360 42952035 45319470 45815504 49088040 51542442 51793680 54383364 54814978 57269380 58905648 60425960 67979205 68723256 72511152 73632060 77690520 82222467 85904070 90638940 98176080 103084884 108766728 109629956 114538760 120851920 128856105 135958410 137037445 137446512 147264120 155381040 164444934 171808140 181277880 191852423 206169768 217533456 219259912 229077520 246667401 257712210 271916820 274074890 294528240 328889868 343616280 362555760 383704846 411112335 412339536 438519824 493334802 515424420 543833640 548149780 575557269 657779736 687232560 767409692 822224670 959262115 986669604 1030848840 1087667280 1096299560 1151114538 1233337005 1315559472 1534819384 1644449340 1726671807 1918524230 1973339208 2061697680 2192599120 2302229076 2466674010 2877786345 3069638768 3288898680 3453343614 3837048460 3946678416 4604458152 4933348020 5755572690 6577797360 6906687228 7674096920 8633359035 9208916304 9866696040 11511145380 13813374456 15348193840 17266718070 19733392080 23022290760 27626748912 34533436140 46044581520 69066872280 138133744560
- Sum of all divisors σ(n): 542488707072
- Sum of proper divisors (its aliquot sum) s(n): 404354962512
- 138133744560 is an abundant number, because the sum of its proper divisors (404354962512) is greater than itself. Its abundance is 266221217952
Bases of 138133744560
- Binary: 100000001010010110100110101011101100002
- Hexadecimal: 0x202969ABB0
- Base-36: 1RGH9JG0
Squares and roots of 138133744560
- 138133744560 squared (1381337445602) is 19080931386167329593600
- 138133744560 cubed (1381337445603) is 2635720502063724623499671010816000
-
The
square root of 138133744560 is 371663.4829519845 -
The
cube root of 138133744560 is 5169.3181456441
Scales and comparisons
How big is 138133744560?- 138,133,744,560 seconds is equal to 4,392 years, 11 weeks, 5 days, 4 hours, 36 minutes.
-
To count from 1 to 138,133,744,560 would take you about eight thousand, seven hundred eighty-four 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 138133744560 cubic inches would be around 430.8 feet tall.
Recreational maths with 138133744560
- 138133744560 backwards is 065447331831
- 138133744560 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138133744560's digits is 45
- More coming soon!
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