138142087200
138,142,087,200 is an even composite number composed of six prime numbers multiplied together.
138142087200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138142087200:
25 × 33 × 52 × 133 × 41 × 71
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 13 × 13 × 13 × 41 × 71)See below for interesting mathematical facts about the number 138142087200 from the Numbermatics database.
Names of 138142087200
- Cardinal: 138142087200 can be written as One hundred thirty-eight billion, one hundred forty-two million, eighty-seven thousand, two hundred.
Scientific notation
- Scientific notation: 1.381420872 × 1011
Factors of 138142087200
Divisors of 138142087200
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 30 32 36 39 40 41 45 48 50 52 54 60 65 71 72 75 78 80 82 90 96 100 104 108 117 120 123 130 135 142 144 150 156 160 164 169 180 195 200 205 208 213 216 225 234 240 246 260 270 284 288 300 312 325 328 338 351 355 360 369 390 400 410 416 426 432 450 468 480 492 507 520 533 540 568 585 600 615 624 639 650 656 675 676 702 710 720 738 780 800 820 845 852 864 900 923 936 975 984 1014 1025 1040 1065 1066 1080 1107 1136 1170 1200 1230 1248 1278 1300 1312 1350 1352 1404 1420 1440 1476 1521 1560 1599 1640 1690 1704 1755 1775 1800 1845 1846 1872 1917 1950 1968 2028 2050 2080 2130 2132 2160 2197 2214 2272 2340 2400 2460 2535 2556 2600 2665 2700 2704 2769 2808 2840 2911 2925 2952 3042 3075 3120 3195 3198 3280 3380 3408 3510 3550 3600 3690 3692 3744 3834 3900 3936 4056 4100 4225 4260 4264 4320 4394 4428 4563 4615 4680 4797 4920 5070 5112 5200 5325 5330 5400 5408 5535 5538 5616 5680 5822 5850 5904 6084 6150 6240 6390 6396 6560 6591 6760 6816 6929 7020 7100 7200 7380 7384 7605 7668 7800 7995 8112 8200 8307 8450 8520 8528 8733 8775 8788 8856 9126 9225 9230 9360 9585 9594 9840 10140 10224 10400 10650 10660 10800 10985 11070 11076 11232 11360 11644 11700 11808 11999 12168 12300 12675 12780 12792 13182 13325 13520 13845 13858 14040 14200 14391 14555 14760 14768 15210 15336 15600 15975 15990 16224 16400 16614 16900 17040 17056 17466 17550 17576 17712 18252 18450 18460 18720 19170 19188 19680 19773 20280 20448 20787 21300 21320 21600 21970 22140 22152 22815 23075 23288 23400 23985 23998 24336 24600 24921 25350 25560 25584 26199 26364 26650 27040 27675 27690 27716 28080 28400 28782 29110 29520 29536 30420 30672 31200 31950 31980 32800 32955 33228 33800 34080 34645 34932 35100 35152 35424 35997 36504 36900 36920 37843 38025 38340 38376 39546 39975 40560 41535 41574 42600 42640 43665 43940 44280 44304 45630 46150 46576 46800 47925 47970 47996 48672 49200 49842 50700 51120 51168 52398 52728 53300 54925 55350 55380 55432 56160 56800 57564 58220 59040 59319 59995 60840 61344 62361 63900 63960 65910 66456 67600 69225 69290 69864 70200 70304 71955 71994 72775 73008 73800 73840 75686 76050 76680 76752 78597 79092 79950 81120 83070 83148 85200 85280 87330 87880 88560 88608 90077 91260 92300 93152 93600 95850 95940 95992 98400 98865 99684 101400 102240 103935 104796 105456 106600 107991 109850 110700 110760 110864 113529 114075 115128 116440 118638 119925 119990 121680 124605 124722 127800 127920 130995 131820 132912 135200 138450 138580 139728 140400 143910 143988 145550 146016 147600 147680 151372 152100 153360 153504 155987 157194 158184 159900 164775 166140 166296 170400 173225 174660 175760 177120 179985 180154 182520 184600 187083 189215 191700 191880 191984 197730 199368 202800 207675 207870 209592 210912 213200 215982 218325 219700 221400 221520 221728 227058 228150 230256 232880 237276 239850 239980 243360 249210 249444 255600 255840 261990 263640 265824 270231 276900 277160 279456 280800 287820 287976 291100 295200 296595 299975 302744 304200 306720 311805 311974 314388 316368 319800 323973 329550 332280 332592 340587 346450 349320 351520 359775 359970 360308 365040 369200 374166 378430 383400 383760 383968 392985 395460 398736 405600 415350 415740 419184 426400 431964 436650 439400 442800 443040 450385 454116 456300 460512 465760 467961 474552 479700 479960 491959 494325 498420 498888 511200 519675 523980 527280 539955 540462 553800 554320 567645 575640 575952 582200 593190 599950 605488 608400 623025 623610 623948 628776 632736 639600 647946 654975 659100 664560 665184 681174 692900 698640 719550 719940 720616 730080 738400 748332 756860 766800 767520 779935 785970 790920 797472 810693 830700 831480 838368 863928 873300 878800 885600 899925 900770 908232 912600 935415 935922 946075 949104 959400 959920 983918 988650 996840 997776 1021761 1039350 1047960 1054560 1079910 1080924 1107600 1108640 1135290 1151280 1151904 1164400 1186380 1199900 1210976 1216800 1246050 1247220 1247896 1257552 1279200 1295892 1309950 1318200 1329120 1351155 1362348 1385800 1397280 1403883 1439100 1439880 1441232 1475877 1482975 1496664 1513720 1533600 1559025 1559870 1571940 1581840 1619865 1621386 1661400 1662960 1702935 1727856 1746600 1757600 1799850 1801540 1816464 1825200 1870830 1871844 1892150 1898208 1918800 1919840 1964925 1967836 1977300 1993680 1995552 2043522 2078700 2095920 2159820 2161848 2215200 2251925 2270580 2302560 2328800 2339805 2372760 2399800 2432079 2459795 2492100 2494440 2495792 2515104 2591784 2619900 2636400 2699775 2702310 2724696 2771600 2807766 2838225 2878200 2879760 2882464 2951754 2965950 2993328 3027440 3118050 3119740 3143880 3163680 3239730 3242772 3322800 3325920 3405870 3455712 3493200 3599700 3603080 3632928 3650400 3741660 3743688 3784300 3837600 3899675 3929850 3935672 3954600 3987360 4053465 4087044 4157400 4191840 4211649 4319640 4323696 4427631 4503850 4541160 4677075 4679610 4745520 4799600 4864158 4919590 4984200 4988880 4991584 5108805 5183568 5239800 5272800 5399550 5404620 5449392 5543200 5615532 5676450 5756400 5759520 5903508 5931900 5986656 6054880 6236100 6239480 6287760 6395467 6479460 6485544 6645600 6755775 6811740 6986400 7019415 7199400 7206160 7379385 7483320 7487376 7568600 7799350 7859700 7871344 7909200 8099325 8106930 8174088 8314800 8423298 8514675 8639280 8647392 8855262 9007700 9082320 9354150 9359220 9491040 9599200 9728316 9839180 9968400 9977760 10217610 10367136 10479600 10799100 10809240 10898784 11231064 11352900 11512800 11699025 11807016 11863800 12160395 12298975 12472200 12478960 12575520 12790934 12958920 12971088 13282893 13511550 13623480 14038830 14398800 14412320 14758770 14966640 14974752 15137200 15598700 15719400 15742688 15818400 16198650 16213860 16348176 16629600 16846596 17029350 17278560 17710524 18015400 18164640 18708300 18718440 19186401 19456632 19678360 19936800 20267325 20435220 20959200 21058245 21598200 21618480 22138155 22462128 22705800 23398050 23614032 23727600 24320790 24597950 24944400 24957920 25544025 25581868 25917840 25942176 26565786 27023100 27246960 28077660 28797600 29517540 29933280 30274400 31197400 31438800 31977335 32397300 32427720 32696352 33693192 34058700 35097075 35421048 36030800 36896925 37416600 37436880 38372802 38913264 39356720 40534650 40870440 42116490 43196400 43236960 44276310 44924256 45411600 46796100 47228064 47455200 48641580 49195900 49888800 51088050 51163736 51835680 53131572 54046200 54493920 56155320 57559203 59035080 60801975 62394800 62877600 63954670 64794600 64855440 66414465 67386384 68117400 70194150 70842096 72061600 73793850 74833200 74873760 76745604 77826528 78713440 81069300 81740880 84232980 86392800 88552620 90823200 93592200 95932005 97283160 98391800 102176100 102327472 105291225 106263144 108092400 110690775 112310640 115118406 118070160 121603950 124789600 127909340 129589200 129710880 132828930 134772768 136234800 140388300 141684192 147587700 149666400 153491208 159886675 162138600 163481760 168465960 172677609 177105240 187184400 191864010 194566320 196783600 204352200 204654944 210582450 212526288 216184800 221381550 224621280 230236812 236140320 243207900 255818680 259178400 265657860 272469600 280776600 287796015 295175400 306982416 319773350 324277200 332072325 336931920 345355218 354210480 374368800 383728020 389132640 393567200 408704400 421164900 425052576 442763100 460473624 479660025 486415800 511637360 531315720 561553200 575592030 590350800 613964832 639546700 648554400 664144650 673863840 690710436 708420960 767456040 817408800 842329800 863388045 885526200 920947248 959320050 972831600 1023274720 1062631440 1123106400 1151184060 1180701600 1279093400 1328289300 1381420872 1438980075 1534912080 1684659600 1726776090 1771052400 1841894496 1918640100 1945663200 2125262880 2302368120 2558186800 2656578600 2762841744 2877960150 3069824160 3369319200 3453552180 3542104800 3837280200 4316940225 4604736240 5116373600 5313157200 5525683488 5755920300 6907104360 7674560400 8633880450 9209472480 10626314400 11511840600 13814208720 15349120800 17267760900 23023681200 27628417440 34535521800 46047362400 69071043600 138142087200
- Sum of all divisors σ(n): 562239014400
- Sum of proper divisors (its aliquot sum) s(n): 424096927200
- 138142087200 is an abundant number, because the sum of its proper divisors (424096927200) is greater than itself. Its abundance is 285954840000
Bases of 138142087200
- Binary: 100000001010011110100011111000001000002
- Hexadecimal: 0x2029E8F820
- Base-36: 1RGM8CO0
Squares and roots of 138142087200
- 138142087200 squared (1381420872002) is 19083236255972403840000
- 138142087200 cubed (1381420872003) is 2636198086930741332058894848000000
-
The
square root of 138142087200 is 371674.7061611807 -
The
cube root of 138142087200 is 5169.4222111939
Scales and comparisons
How big is 138142087200?- 138,142,087,200 seconds is equal to 4,392 years, 25 weeks, 3 days, 18 hours.
-
To count from 1 to 138,142,087,200 would take you about eight thousand, seven hundred eighty-four 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 138142087200 cubic inches would be around 430.8 feet tall.
Recreational maths with 138142087200
- 138142087200 backwards is 002780241831
- 138142087200 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138142087200's digits is 36
- More coming soon!
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The information we have on file for 138142087200 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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