138037616640
138,037,616,640 is an even composite number composed of six prime numbers multiplied together.
138037616640 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred ninety-six divisors.
Prime factorization of 138037616640:
213 × 33 × 5 × 7 × 11 × 1621
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 11 × 1621)See below for interesting mathematical facts about the number 138037616640 from the Numbermatics database.
Names of 138037616640
- Cardinal: 138037616640 can be written as One hundred thirty-eight billion, thirty-seven million, six hundred sixteen thousand, six hundred forty.
Scientific notation
- Scientific notation: 1.3803761664 × 1011
Factors of 138037616640
Divisors of 138037616640
- Number of divisors d(n): 896
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 27 28 30 32 33 35 36 40 42 44 45 48 54 55 56 60 63 64 66 70 72 77 80 84 88 90 96 99 105 108 110 112 120 126 128 132 135 140 144 154 160 165 168 176 180 189 192 198 210 216 220 224 231 240 252 256 264 270 280 288 297 308 315 320 330 336 352 360 378 384 385 396 420 432 440 448 462 480 495 504 512 528 540 560 576 594 616 630 640 660 672 693 704 720 756 768 770 792 840 864 880 896 924 945 960 990 1008 1024 1056 1080 1120 1152 1155 1188 1232 1260 1280 1320 1344 1386 1408 1440 1485 1512 1536 1540 1584 1621 1680 1728 1760 1792 1848 1890 1920 1980 2016 2048 2079 2112 2160 2240 2304 2310 2376 2464 2520 2560 2640 2688 2772 2816 2880 2970 3024 3072 3080 3168 3242 3360 3456 3465 3520 3584 3696 3780 3840 3960 4032 4096 4158 4224 4320 4480 4608 4620 4752 4863 4928 5040 5120 5280 5376 5544 5632 5760 5940 6048 6144 6160 6336 6484 6720 6912 6930 7040 7168 7392 7560 7680 7920 8064 8105 8192 8316 8448 8640 8960 9216 9240 9504 9726 9856 10080 10240 10395 10560 10752 11088 11264 11347 11520 11880 12096 12288 12320 12672 12968 13440 13824 13860 14080 14336 14589 14784 15120 15360 15840 16128 16210 16632 16896 17280 17831 17920 18432 18480 19008 19452 19712 20160 20480 20790 21120 21504 22176 22528 22694 23040 23760 24192 24315 24576 24640 25344 25936 26880 27648 27720 28160 28672 29178 29568 30240 30720 31680 32256 32420 33264 33792 34041 34560 35662 35840 36864 36960 38016 38904 39424 40320 40960 41580 42240 43008 43767 44352 45056 45388 46080 47520 48384 48630 49280 50688 51872 53493 53760 55296 55440 56320 56735 57344 58356 59136 60480 61440 63360 64512 64840 66528 67584 68082 69120 71324 71680 72945 73728 73920 76032 77808 78848 80640 83160 84480 86016 87534 88704 89155 90112 90776 92160 95040 96768 97260 98560 101376 102123 103744 106986 107520 110592 110880 112640 113470 116712 118272 120960 122880 124817 126720 129024 129680 133056 135168 136164 138240 142648 143360 145890 147840 152064 155616 157696 160479 161280 166320 168960 170205 172032 175068 177408 178310 181552 184320 190080 193536 194520 197120 202752 204246 207488 213972 215040 218835 221184 221760 225280 226940 233424 236544 241920 249634 253440 258048 259360 266112 267465 270336 272328 276480 285296 286720 291780 295680 304128 306369 311232 315392 320958 322560 332640 337920 340410 350136 354816 356620 363104 368640 374451 380160 387072 389040 394240 405504 408492 414976 427944 430080 437670 443520 450560 453880 466848 473088 481437 483840 499268 506880 510615 516096 518720 532224 534930 544656 552960 570592 583560 591360 608256 612738 622464 624085 630784 641916 645120 665280 675840 680820 700272 709632 713240 726208 748902 760320 774144 778080 788480 802395 811008 816984 829952 855888 860160 875340 887040 907760 933696 946176 962874 967680 998536 1013760 1021230 1037440 1064448 1069860 1089312 1105920 1123353 1141184 1167120 1182720 1216512 1225476 1244928 1248170 1283832 1290240 1330560 1351680 1361640 1400544 1419264 1426480 1452416 1497804 1520640 1531845 1548288 1556160 1576960 1604790 1633968 1659904 1711776 1750680 1774080 1815520 1867392 1872255 1892352 1925748 1935360 1997072 2027520 2042460 2074880 2128896 2139720 2178624 2246706 2282368 2334240 2365440 2407185 2433024 2450952 2489856 2496340 2567664 2580480 2661120 2723280 2801088 2838528 2852960 2904832 2995608 3041280 3063690 3112320 3153920 3209580 3267936 3319808 3370059 3423552 3501360 3548160 3631040 3734784 3744510 3851496 3870720 3994144 4055040 4084920 4149760 4257792 4279440 4357248 4493412 4564736 4668480 4730880 4814370 4901904 4979712 4992680 5135328 5322240 5446560 5602176 5616765 5677056 5705920 5809664 5991216 6082560 6127380 6224640 6419160 6535872 6639616 6740118 6847104 7002720 7096320 7262080 7469568 7489020 7702992 7741440 7988288 8169840 8299520 8515584 8558880 8714496 8986824 9129472 9336960 9461760 9628740 9803808 9959424 9985360 10270656 10644480 10893120 11204352 11233530 11411840 11619328 11982432 12165120 12254760 12449280 12838320 13071744 13279232 13480236 13694208 14005440 14192640 14524160 14939136 14978040 15405984 15976576 16339680 16599040 16850295 17031168 17117760 17428992 17973648 18258944 18673920 19257480 19607616 19918848 19970720 20541312 21288960 21786240 22408704 22467060 22823680 23238656 23964864 24509520 24898560 25676640 26143488 26960472 27388416 28010880 28385280 29048320 29878272 29956080 30811968 31953152 32679360 33198080 33700590 34235520 34857984 35947296 36517888 37347840 38514960 39215232 39837696 39941440 41082624 42577920 43572480 44817408 44934120 45647360 46477312 47929728 49019040 49797120 51353280 52286976 53920944 54776832 56021760 58096640 59756544 59912160 61623936 63906304 65358720 66396160 67401180 68471040 69715968 71894592 73035776 74695680 77029920 78430464 79882880 82165248 85155840 87144960 89634816 89868240 91294720 92954624 95859456 98038080 99594240 102706560 104573952 107841888 109553664 112043520 116193280 119513088 119824320 123247872 127812608 130717440 134802360 136942080 139431936 143789184 146071552 149391360 154059840 156860928 159765760 164330496 174289920 179269632 179736480 182589440 191718912 196076160 199188480 205413120 209147904 215683776 219107328 224087040 232386560 239648640 246495744 255625216 261434880 269604720 273884160 278863872 287578368 298782720 308119680 313721856 319531520 328660992 348579840 358539264 359472960 365178880 383437824 392152320 410826240 418295808 431367552 438214656 448174080 464773120 479297280 492991488 511250432 522869760 539209440 547768320 575156736 597565440 616239360 627443712 639063040 657321984 697159680 718945920 730357760 766875648 784304640 821652480 836591616 862735104 896348160 958594560 985982976 1022500864 1045739520 1078418880 1095536640 1150313472 1232478720 1254887424 1278126080 1314643968 1394319360 1437891840 1533751296 1568609280 1643304960 1725470208 1792696320 1917189120 1971965952 2091479040 2156837760 2191073280 2300626944 2464957440 2509774848 2556252160 2875783680 3067502592 3137218560 3286609920 3450940416 3834378240 3943931904 4182958080 4313675520 4601253888 4929914880 5112504320 5751567360 6274437120 6573219840 6901880832 7668756480 8627351040 9202507776 9859829760 11503134720 12548874240 13803761664 15337512960 17254702080 19719659520 23006269440 27607523328 34509404160 46012538880 69018808320 138037616640
- Sum of all divisors σ(n): 612247127040
- Sum of proper divisors (its aliquot sum) s(n): 474209510400
- 138037616640 is an abundant number, because the sum of its proper divisors (474209510400) is greater than itself. Its abundance is 336171893760
Bases of 138037616640
- Binary: 100000001000111010111011100000000000002
- Hexadecimal: 0x2023AEE000
- Base-36: 1REW16O0
Squares and roots of 138037616640
- 138037616640 squared (1380376166402) is 19054383607651604889600
- 138037616640 cubed (1380376166403) is 2630221699744512406431354322944000
-
The
square root of 138037616640 is 371534.1392658285 -
The
cube root of 138037616640 is 5168.1187498075
Scales and comparisons
How big is 138037616640?- 138,037,616,640 seconds is equal to 4,389 years, 8 weeks, 5 days, 14 hours, 24 minutes.
-
To count from 1 to 138,037,616,640 would take you about eight thousand, seven hundred seventy-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 138037616640 cubic inches would be around 430.7 feet tall.
Recreational maths with 138037616640
- 138037616640 backwards is 046616730831
- 138037616640 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138037616640's digits is 45
- More coming soon!
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The information we have on file for 138037616640 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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