138219829440
138,219,829,440 is an even composite number composed of six prime numbers multiplied together.
138219829440 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 138219829440:
26 × 3 × 5 × 7 × 112 × 169987
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 11 × 11 × 169987)See below for interesting mathematical facts about the number 138219829440 from the Numbermatics database.
Names of 138219829440
- Cardinal: 138219829440 can be written as One hundred thirty-eight billion, two hundred nineteen million, eight hundred twenty-nine thousand, four hundred forty.
Scientific notation
- Scientific notation: 1.3821982944 × 1011
Factors of 138219829440
Divisors of 138219829440
- Number of divisors d(n): 336
-
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 96 105 110 112 120 121 132 140 154 160 165 168 176 192 210 220 224 231 240 242 264 280 308 320 330 336 352 363 385 420 440 448 462 480 484 528 560 605 616 660 672 704 726 770 840 847 880 924 960 968 1056 1120 1155 1210 1232 1320 1344 1452 1540 1680 1694 1760 1815 1848 1936 2112 2240 2310 2420 2464 2541 2640 2904 3080 3360 3388 3520 3630 3696 3872 4235 4620 4840 4928 5082 5280 5808 6160 6720 6776 7260 7392 7744 8470 9240 9680 10164 10560 11616 12320 12705 13552 14520 14784 16940 18480 19360 20328 23232 24640 25410 27104 29040 33880 36960 38720 40656 50820 54208 58080 67760 73920 81312 101640 116160 135520 162624 169987 203280 271040 339974 406560 509961 679948 813120 849935 1019922 1189909 1359896 1699870 1869857 2039844 2379818 2549805 2719792 3399740 3569727 3739714 4079688 4759636 5099610 5439584 5609571 5949545 6799480 7139454 7479428 8159376 9349285 9519272 10199220 10879168 11219142 11899090 13088999 13598960 14278908 14958856 16318752 17848635 18698570 19038544 20398440 20568427 22438284 23798180 26177998 27197920 28047855 28557816 29917712 32637504 35697270 37397140 38077088 39266997 40796880 41136854 44876568 47596360 52355996 54395840 56095710 57115632 59835424 61705281 65444995 71394540 74794280 76154176 78533994 81593760 82273708 89753136 95192720 102842135 104711992 112191420 114231264 119670848 123410562 130889990 142789080 143978989 149588560 157067988 163187520 164547416 179506272 190385440 196334985 205684270 209423984 224382840 228462528 246821124 261779980 285578160 287957978 299177120 308526405 314135976 329094832 359012544 380770880 392669970 411368540 418847968 431936967 448765680 493642248 523559960 571156320 575915956 598354240 617052810 628271952 658189664 719894945 785339940 822737080 837695936 863873934 897531360 987284496 1047119920 1142312640 1151831912 1234105620 1256543904 1316379328 1439789890 1570679880 1645474160 1727747868 1795062720 1974568992 2094239840 2159684835 2303663824 2468211240 2513087808 2879579780 3141359760 3290948320 3455495736 3949137984 4188479680 4319369670 4607327648 4936422480 5759159560 6282719520 6581896640 6910991472 8638739340 9214655296 9872844960 11518319120 12565439040 13821982944 17277478680 19745689920 23036638240 27643965888 34554957360 46073276480 69109914720 138219829440
- Sum of all divisors σ(n): 551283323136
- Sum of proper divisors (its aliquot sum) s(n): 413063493696
- 138219829440 is an abundant number, because the sum of its proper divisors (413063493696) is greater than itself. Its abundance is 274843664256
Bases of 138219829440
- Binary: 100000001011101000101100111000110000002
- Hexadecimal: 0x202E8B38C0
- Base-36: 1RHWIMYO
Squares and roots of 138219829440
- 138219829440 squared (1382198294402) is 19104721250422690713600
- 138219829440 cubed (1382198294403) is 2640651312732167838339663888384000
-
The
square root of 138219829440 is 371779.2751620241 -
The
cube root of 138219829440 is 5170.3917614707
Scales and comparisons
How big is 138219829440?- 138,219,829,440 seconds is equal to 4,394 years, 50 weeks, 13 hours, 4 minutes.
-
To count from 1 to 138,219,829,440 would take you about eight thousand, seven hundred eighty-nine 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 138219829440 cubic inches would be around 430.9 feet tall.
Recreational maths with 138219829440
- 138219829440 backwards is 044928912831
- The number of decimal digits it has is: 12
- The sum of 138219829440's digits is 51
- More coming soon!
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