138340121400
138,340,121,400 is an even composite number composed of seven prime numbers multiplied together.
138340121400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138340121400:
23 × 33 × 52 × 132 × 17 × 37 × 241
(2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 13 × 13 × 17 × 37 × 241)See below for interesting mathematical facts about the number 138340121400 from the Numbermatics database.
Names of 138340121400
- Cardinal: 138340121400 can be written as One hundred thirty-eight billion, three hundred forty million, one hundred twenty-one thousand, four hundred.
Scientific notation
- Scientific notation: 1.383401214 × 1011
Factors of 138340121400
Divisors of 138340121400
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 17 18 20 24 25 26 27 30 34 36 37 39 40 45 50 51 52 54 60 65 68 72 74 75 78 85 90 100 102 104 108 111 117 120 130 135 136 148 150 153 156 169 170 180 185 195 200 204 216 221 222 225 234 241 255 260 270 296 300 306 312 325 333 338 340 351 360 370 390 408 425 442 444 450 459 468 481 482 507 510 520 540 555 585 600 612 629 650 663 666 675 676 680 702 723 740 765 780 845 850 884 888 900 918 925 936 962 964 975 999 1014 1020 1080 1105 1110 1170 1205 1224 1258 1275 1300 1326 1332 1350 1352 1404 1443 1446 1480 1521 1530 1560 1665 1690 1700 1755 1768 1800 1836 1850 1887 1924 1928 1950 1989 1998 2028 2040 2169 2210 2220 2295 2340 2405 2410 2516 2535 2550 2600 2652 2664 2700 2775 2808 2873 2886 2892 2925 3042 3060 3133 3145 3315 3330 3380 3400 3510 3615 3672 3700 3774 3825 3848 3900 3978 3996 4056 4097 4225 4329 4338 4420 4440 4563 4590 4680 4810 4820 4995 5032 5070 5100 5304 5400 5525 5550 5661 5746 5772 5784 5850 5967 6025 6084 6120 6253 6266 6290 6507 6630 6660 6760 7020 7215 7230 7400 7548 7605 7650 7800 7956 7992 8177 8194 8325 8450 8619 8658 8676 8775 8840 8917 9126 9180 9399 9435 9620 9640 9945 9990 10140 10200 10845 11050 11100 11322 11475 11492 11544 11700 11934 12025 12050 12168 12291 12506 12532 12580 12675 12987 13014 13260 13320 14040 14365 14430 14460 15096 15210 15300 15665 15725 15912 16354 16388 16575 16650 16900 16983 17238 17316 17352 17550 17834 18075 18252 18360 18759 18798 18870 19240 19890 19980 20280 20485 21645 21690 22100 22200 22644 22815 22950 22984 23400 23868 24050 24100 24531 24582 24975 25012 25064 25160 25350 25857 25974 26028 26520 26751 28197 28305 28730 28860 28920 29835 30420 30600 31265 31330 31450 32535 32708 32776 33150 33300 33800 33966 34476 34632 35100 35668 36075 36150 36504 36873 37518 37596 37740 38025 39780 39960 40729 40885 40970 43095 43290 43380 44200 44585 45288 45630 45900 46995 47175 47736 48100 48200 49062 49164 49725 49950 50024 50700 51714 51948 52056 53261 53502 54225 56277 56394 56610 57460 57720 59670 60840 61455 62530 62660 62900 64935 65070 65416 66300 66600 67932 68952 70200 71336 71825 72150 72300 73593 73746 75036 75192 75480 76050 77571 78325 79560 80253 81458 81770 81940 84591 84915 86190 86580 86760 89170 91260 91800 93795 93990 94350 96200 98124 98328 99450 99900 101400 102425 103428 103896 106301 106522 107004 108225 108450 110619 112554 112788 113220 114075 114920 115921 119340 122187 122655 122910 125060 125320 125800 129285 129870 130140 132600 133755 135864 140985 141525 143650 144300 144600 147186 147492 149175 150072 151589 152100 155142 156325 156650 159783 160506 162675 162916 163540 163880 168831 169182 169830 172380 173160 178340 182520 184365 187590 187980 188700 196248 198900 199800 203645 204425 204850 206856 212602 213044 214008 215475 216450 216900 220779 221238 222925 225108 225576 226440 228150 231842 234975 238680 240759 244374 245310 245820 250120 258570 259740 260280 266305 267510 281385 281970 283050 287300 288600 294372 294984 298350 303178 304200 307275 310284 312650 313300 318903 319566 321012 324675 325350 325832 327080 337662 338364 339660 344760 347763 356680 366561 367965 368730 375180 375960 377400 387855 397800 401265 407290 408850 409700 422955 424575 425204 426088 430950 432900 433800 441558 442476 445850 450216 454767 456300 463684 468975 469950 479349 481518 488748 490620 491640 517140 519480 531505 532610 535020 553095 562770 563940 566100 574600 579605 588744 596700 606356 610935 613275 614550 620568 625300 626600 637806 639132 642024 646425 649350 650700 668775 675324 676728 679320 692393 695526 704925 733122 735930 737460 750360 757945 775710 798915 802530 814580 817700 819400 844155 845910 849150 850408 861900 865800 883116 884952 891700 909534 912600 921825 927368 937950 939900 956709 958698 963036 977496 981240 1018225 1034280 1043289 1063010 1065220 1070040 1099683 1103895 1106190 1125540 1127880 1132200 1159210 1193400 1203795 1212712 1221870 1226550 1229100 1250600 1275612 1278264 1292850 1298700 1301400 1331525 1337550 1350648 1364301 1384786 1391052 1406925 1409850 1438047 1466244 1471860 1474920 1506973 1515890 1551420 1594515 1597830 1605060 1629160 1635400 1688310 1691820 1698300 1723800 1738815 1766232 1783400 1819068 1832805 1839825 1843650 1875900 1879800 1913418 1917396 1926072 1939275 1970657 2006325 2036450 2077179 2086578 2114775 2126020 2130440 2199366 2207790 2212380 2251080 2273835 2318420 2396745 2407590 2443740 2453100 2458200 2551224 2585700 2597400 2657525 2663050 2675100 2728602 2765475 2769572 2782104 2813850 2819700 2870127 2876094 2898025 2932488 2943720 3013946 3031780 3054675 3102840 3129867 3189030 3195660 3210120 3376620 3383640 3396600 3461965 3477630 3638136 3665610 3679650 3687300 3751800 3789725 3826836 3834792 3878550 3941314 3994575 4012650 4072900 4092903 4154358 4173156 4220775 4229550 4252040 4398732 4415580 4424760 4520919 4547670 4636840 4783545 4793490 4815180 4887480 4906200 5171400 5216445 5315050 5326100 5350200 5457204 5498415 5519475 5530950 5539144 5627700 5639400 5740254 5752188 5796050 5911971 6018975 6027892 6063560 6109350 6231537 6259734 6378060 6391320 6753240 6821505 6923930 6955260 7190235 7331220 7359300 7374600 7534865 7579450 7653672 7757100 7882628 7972575 7989150 8025300 8145800 8185806 8308716 8346312 8441550 8459100 8694075 8797464 8831160 9041838 9095340 9164025 9567090 9586980 9630360 9853285 10385895 10432890 10630100 10652200 10914408 10996830 11038950 11061900 11255400 11369175 11480508 11504376 11592100 11823942 11983725 12037950 12055784 12218700 12463074 12519468 12756120 13562757 13643010 13847860 13910520 14350635 14380470 14662440 14718600 15069730 15158900 15514200 15649335 15765256 15945150 15978300 16050600 16371612 16617432 16883100 16918200 17309825 17388150 17735913 18083676 18190680 18328050 18694611 19134180 19173960 19706570 20464515 20771790 20865780 21260200 21993660 22077900 22123800 22604595 22738350 22961016 23184200 23647884 23917725 23967450 24075900 24437400 24926148 25038936 25618541 26082225 27125514 27286020 27492075 27695720 28701270 28760940 29559855 30139460 30317800 31157685 31298670 31890300 31956600 32743224 33766200 34107525 34619650 34776300 35471826 35951175 36167352 36656100 37389222 37674325 38268360 39413140 40688271 40929030 41543580 41731560 43987320 44155800 45209190 45476700 47295768 47835450 47934900 48151800 49266425 49852296 51237082 51929475 52164450 53207739 54251028 54572040 54984150 57402540 57521880 59119710 60278920 62315370 62597340 63780600 67813785 68215050 69239300 69552600 70943652 71753175 71902350 73312200 74778444 75348650 76855623 78246675 78826280 81376542 81858060 83087160 88679565 90418380 90953400 93473055 95670900 95869800 98532850 102322575 102474164 103858950 104328900 106415478 108502056 109968300 113022975 114805080 118239420 124630740 125194680 128092705 135627570 136430100 138478600 141887304 143506350 143804700 147799275 149556888 150697300 153711246 155788425 156493350 162753084 163716120 177359130 180836760 186946110 191341800 197065700 203441355 204645150 204948328 207717900 208657800 212830956 219936600 226045950 230566869 236478840 249261480 256185410 266038695 271255140 272860200 287012700 287609400 295598550 301394600 307422492 311576850 312986700 325506168 339068925 354718260 373892220 384278115 394131400 406882710 409290300 415435800 425661912 443397825 452091900 461133738 467365275 512370820 532077390 542510280 574025400 591197100 614844984 623153700 625973400 640463525 678137850 691700607 709436520 747784440 768556230 813765420 818580600 886795650 904183800 922267476 934730550 1017206775 1024741640 1064154780 1152834345 1182394200 1246307400 1280927050 1330193475 1356275700 1383401214 1537112460 1627530840 1773591300 1844534952 1869461100 1921390575 2034413550 2128309560 2305668690 2561854100 2660386950 2712551400 2766802428 3074224920 3458503035 3547182600 3738922200 3842781150 4068827100 4611337380 5123708200 5320773900 5533604856 5764171725 6917006070 7685562300 8137654200 9222674760 10641547800 11528343450 13834012140 15371124600 17292515175 23056686900 27668024280 34585030350 46113373800 69170060700 138340121400
- Sum of all divisors σ(n): 563424206400
- Sum of proper divisors (its aliquot sum) s(n): 425084085000
- 138340121400 is an abundant number, because the sum of its proper divisors (425084085000) is greater than itself. Its abundance is 286743963600
Bases of 138340121400
- Binary: 100000001101011011011010111011001110002
- Hexadecimal: 0x2035B6BB38
- Base-36: 1RJW4WU0
Squares and roots of 138340121400
- 138340121400 squared (1383401214002) is 19137989188966737960000
- 138340121400 cubed (1383401214003) is 2647551747753546069948388344000000
-
The
square root of 138340121400 is 371941.0187113005 -
The
cube root of 138340121400 is 5171.8912477603
Scales and comparisons
How big is 138340121400?- 138,340,121,400 seconds is equal to 4,398 years, 40 weeks, 6 days, 19 hours, 30 minutes.
-
To count from 1 to 138,340,121,400 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 138340121400 cubic inches would be around 431 feet tall.
Recreational maths with 138340121400
- 138340121400 backwards is 004121043831
- 138340121400 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138340121400's digits is 27
- More coming soon!
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The information we have on file for 138340121400 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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