138362448480
138,362,448,480 is an even composite number composed of seven prime numbers multiplied together.
138362448480 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 138362448480:
25 × 3 × 5 × 43 × 71 × 263 × 359
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 43 × 71 × 263 × 359)See below for interesting mathematical facts about the number 138362448480 from the Numbermatics database.
Names of 138362448480
- Cardinal: 138362448480 can be written as One hundred thirty-eight billion, three hundred sixty-two million, four hundred forty-eight thousand, four hundred eighty.
Scientific notation
- Scientific notation: 1.3836244848 × 1011
Factors of 138362448480
Divisors of 138362448480
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 71 80 86 96 120 129 142 160 172 213 215 240 258 263 284 344 355 359 426 430 480 516 526 568 645 688 710 718 789 852 860 1032 1052 1065 1077 1136 1290 1315 1376 1420 1436 1578 1704 1720 1795 2064 2104 2130 2154 2272 2580 2630 2840 2872 3053 3156 3408 3440 3590 3945 4128 4208 4260 4308 5160 5260 5385 5680 5744 6106 6312 6816 6880 7180 7890 8416 8520 8616 9159 10320 10520 10770 11309 11360 11488 12212 12624 14360 15265 15437 15780 17040 17232 18318 18673 20640 21040 21540 22618 24424 25248 25489 28720 30530 30874 31560 33927 34080 34464 36636 37346 42080 43080 45236 45795 46311 48848 50978 56019 56545 57440 61060 61748 63120 67854 73272 74692 76467 77185 86160 90472 91590 92622 93365 94417 97696 101956 112038 113090 122120 123496 126240 127445 135708 146544 149384 152934 154370 169635 172320 180944 183180 185244 186730 188834 203912 224076 226180 231555 244240 246992 254890 271416 280095 283251 293088 298768 305868 308740 339270 361888 366360 370488 373460 377668 382335 407824 448152 452360 463110 472085 488480 493984 509780 542832 560190 566502 597536 611736 617480 678540 732720 740976 746920 755336 764670 802939 815648 896304 904720 926220 944170 1019560 1085664 1096027 1120380 1133004 1223472 1234960 1357080 1416255 1465440 1481952 1493840 1510672 1529340 1605878 1792608 1809440 1852440 1888340 2039120 2192054 2240760 2266008 2408817 2446944 2469920 2714160 2832510 2987680 3021344 3058680 3211756 3288081 3704880 3776680 4014695 4059931 4078240 4384108 4481520 4532016 4817634 5428320 5480135 5665020 6117360 6423512 6576162 6703607 7409760 7553360 8029390 8119862 8768216 8963040 9064032 9635268 10960270 11330040 12044085 12179793 12234720 12847024 13152324 13407214 15106720 16058780 16239724 16440405 17536432 19270536 20110821 20299655 21920540 22660080 24088170 24359586 25694048 26304648 26814428 32117560 32479448 32880810 33518035 35072864 38541072 40221642 40599310 43841080 45320160 48176340 48719172 52609296 53628856 60898965 64235120 64958896 65761620 67036070 77082144 80443284 81198620 87682160 96352680 97438344 100554105 105218592 107257712 121797930 128470240 129917792 131523240 134072140 160886568 162397240 175364320 192705360 194876688 201108210 214515424 243595860 263046480 268144280 288255101 321773136 324794480 385410720 389753376 402216420 487191720 526092960 536288560 576510202 643546272 649588960 804432840 864765303 974383440 1072577120 1153020404 1441275505 1608865680 1729530606 1948766880 2306040808 2882551010 3217731360 3459061212 4323826515 4612081616 5765102020 6918122424 8647653030 9224163232 11530204040 13836244848 17295306060 23060408080 27672489696 34590612120 46120816160 69181224240 138362448480
- Sum of all divisors σ(n): 455243120640
- Sum of proper divisors (its aliquot sum) s(n): 316880672160
- 138362448480 is an abundant number, because the sum of its proper divisors (316880672160) is greater than itself. Its abundance is 178518223680
Bases of 138362448480
- Binary: 100000001101110000101101101010011000002
- Hexadecimal: 0x20370B6A60
- Base-36: 1RK9FGIO
Squares and roots of 138362448480
- 138362448480 squared (1383624484802) is 19144167149380654310400
- 138362448480 cubed (1383624484803) is 2648833840898689245931409928192000
-
The
square root of 138362448480 is 371971.0317753253 -
The
cube root of 138362448480 is 5172.1694678863
Scales and comparisons
How big is 138362448480?- 138,362,448,480 seconds is equal to 4,399 years, 25 weeks, 6 days, 5 hours, 28 minutes.
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To count from 1 to 138,362,448,480 would take you about eight thousand, seven hundred ninety-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 138362448480 cubic inches would be around 431 feet tall.
Recreational maths with 138362448480
- 138362448480 backwards is 084844263831
- The number of decimal digits it has is: 12
- The sum of 138362448480's digits is 51
- More coming soon!
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