138340375040
138,340,375,040 is an even composite number composed of six prime numbers multiplied together.
138340375040 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 138340375040:
29 × 5 × 72 × 17 × 29 × 2237
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 7 × 17 × 29 × 2237)See below for interesting mathematical facts about the number 138340375040 from the Numbermatics database.
Names of 138340375040
- Cardinal: 138340375040 can be written as One hundred thirty-eight billion, three hundred forty million, three hundred seventy-five thousand and forty.
Scientific notation
- Scientific notation: 1.3834037504 × 1011
Factors of 138340375040
Divisors of 138340375040
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 17 20 28 29 32 34 35 40 49 56 58 64 68 70 80 85 98 112 116 119 128 136 140 145 160 170 196 203 224 232 238 245 256 272 280 290 320 340 392 406 448 464 476 490 493 512 544 560 580 595 640 680 784 812 833 896 928 952 980 986 1015 1088 1120 1160 1190 1280 1360 1421 1568 1624 1666 1792 1856 1904 1960 1972 2030 2176 2237 2240 2320 2380 2465 2560 2720 2842 3136 3248 3332 3451 3584 3712 3808 3920 3944 4060 4165 4352 4474 4480 4640 4760 4930 5440 5684 6272 6496 6664 6902 7105 7424 7616 7840 7888 8120 8330 8704 8948 8960 9280 9520 9860 10880 11185 11368 12544 12992 13328 13804 14210 14848 15232 15659 15680 15776 16240 16660 17255 17896 17920 18560 19040 19720 21760 22370 22736 24157 25088 25984 26656 27608 28420 30464 31318 31360 31552 32480 33320 34510 35792 37120 38029 38080 39440 43520 44740 45472 48314 51968 53312 55216 56840 60928 62636 62720 63104 64873 64960 66640 69020 71584 74240 76058 76160 78295 78880 89480 90944 96628 103936 106624 109613 110432 113680 120785 125272 125440 126208 129746 129920 133280 138040 143168 152116 152320 156590 157760 178960 181888 190145 193256 213248 219226 220864 227360 241570 250544 252416 259492 259840 266203 266560 276080 286336 304232 304640 313180 315520 324365 357920 363776 380290 386512 426496 438452 441728 454111 454720 483140 501088 518984 519680 532406 533120 548065 552160 572672 608464 626360 631040 648730 715840 727552 760580 773024 876904 883456 908222 909440 966280 1002176 1037968 1064812 1066240 1096130 1102841 1104320 1145344 1216928 1252720 1262080 1297460 1331015 1431680 1521160 1546048 1753808 1766912 1816444 1818880 1863421 1932560 2004352 2075936 2129624 2132480 2192260 2205682 2208640 2270555 2433856 2505440 2594920 2662030 2863360 3042320 3092096 3178777 3507616 3632888 3637760 3726842 3865120 4008704 4151872 4259248 4384520 4411364 4417280 4541110 4867712 5010880 5189840 5324060 5514205 5726720 6084640 6184192 6357554 7015232 7265776 7453684 7719887 7730240 8017408 8303744 8518496 8769040 8822728 8834560 9082220 9317105 9735424 10021760 10379680 10648120 11028410 12169280 12368384 12715108 14030464 14531552 14907368 15439774 15460480 15893885 16607488 17036992 17538080 17645456 18164440 18634210 19470848 20043520 20759360 21296240 22056820 24338560 25430216 28060928 29063104 29814736 30879548 30920960 31787770 33214976 34073984 35076160 35290912 36328880 37268420 38599435 40087040 41518720 42592480 44113640 48677120 50860432 54039209 56121856 58126208 59629472 61759096 61841920 63575540 68147968 70152320 70581824 72657760 74536840 77198870 83037440 85184960 88227280 97354240 101720864 108078418 116252416 119258944 123518192 127151080 136295936 140304640 141163648 145315520 149073680 154397740 166074880 170369920 176454560 203441728 216156836 232504832 238517888 247036384 254302160 270196045 280609280 282327296 290631040 298147360 308795480 340739840 352909120 406883456 432313672 477035776 494072768 508604320 540392090 564654592 581262080 596294720 617590960 681479680 705818240 813766912 864627344 954071552 988145536 1017208640 1080784180 1162524160 1192589440 1235181920 1411636480 1627533824 1729254688 1976291072 2034417280 2161568360 2385178880 2470363840 2823272960 3458509376 3952582144 4068834560 4323136720 4770357760 4940727680 6917018752 8137669120 8646273440 9881455360 13834037504 17292546880 19762910720 27668075008 34585093760 69170187520 138340375040
- Sum of all divisors σ(n): 422820058320
- Sum of proper divisors (its aliquot sum) s(n): 284479683280
- 138340375040 is an abundant number, because the sum of its proper divisors (284479683280) is greater than itself. Its abundance is 146139308240
Bases of 138340375040
- Binary: 100000001101011011101010011010000000002
- Hexadecimal: 0x2035BA9A00
- Base-36: 1RJWACJK
Squares and roots of 138340375040
- 138340375040 squared (1383403750402) is 19138059366207855001600
- 138340375040 cubed (1383403750403) is 2647566310258979363515283800064000
-
The
square root of 138340375040 is 371941.3596791839 -
The
cube root of 138340375040 is 5171.8944085635
Scales and comparisons
How big is 138340375040?- 138,340,375,040 seconds is equal to 4,398 years, 41 weeks, 2 days, 17 hours, 57 minutes, 20 seconds.
-
To count from 1 to 138,340,375,040 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 138340375040 cubic inches would be around 431 feet tall.
Recreational maths with 138340375040
- 138340375040 backwards is 040573043831
- The number of decimal digits it has is: 12
- The sum of 138340375040's digits is 38
- More coming soon!
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