138217939200
138,217,939,200 is an even composite number composed of six prime numbers multiplied together.
138217939200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred seventy-two divisors.
Prime factorization of 138217939200:
28 × 32 × 52 × 11 × 312 × 227
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 11 × 31 × 31 × 227)See below for interesting mathematical facts about the number 138217939200 from the Numbermatics database.
Names of 138217939200
- Cardinal: 138217939200 can be written as One hundred thirty-eight billion, two hundred seventeen million, nine hundred thirty-nine thousand, two hundred.
Scientific notation
- Scientific notation: 1.382179392 × 1011
Factors of 138217939200
Divisors of 138217939200
- Number of divisors d(n): 972
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 30 31 32 33 36 40 44 45 48 50 55 60 62 64 66 72 75 80 88 90 93 96 99 100 110 120 124 128 132 144 150 155 160 165 176 180 186 192 198 200 220 225 227 240 248 256 264 275 279 288 300 310 320 330 341 352 360 372 384 396 400 440 450 454 465 480 495 496 528 550 558 576 600 620 640 660 681 682 704 720 744 768 775 792 800 825 880 900 908 930 960 961 990 992 1023 1056 1100 1116 1135 1152 1200 1240 1280 1320 1362 1364 1395 1408 1440 1488 1550 1584 1600 1650 1705 1760 1800 1816 1860 1920 1922 1980 1984 2043 2046 2112 2200 2232 2270 2304 2325 2400 2475 2480 2497 2640 2724 2728 2790 2816 2880 2883 2976 3069 3100 3168 3200 3300 3405 3410 3520 3600 3632 3720 3840 3844 3960 3968 4086 4092 4224 4400 4464 4540 4650 4800 4805 4950 4960 4994 5115 5280 5448 5456 5580 5675 5760 5766 5952 6138 6200 6336 6400 6600 6810 6820 6975 7037 7040 7200 7264 7440 7491 7688 7920 7936 8172 8184 8448 8525 8649 8800 8928 9080 9300 9600 9610 9900 9920 9988 10215 10230 10560 10571 10896 10912 11160 11350 11520 11532 11904 12276 12400 12485 12672 13200 13620 13640 13950 14074 14080 14400 14415 14528 14880 14982 15345 15376 15840 16344 16368 17025 17050 17298 17600 17856 18160 18600 19200 19220 19800 19840 19976 20430 20460 21111 21120 21142 21792 21824 22320 22473 22700 23064 23808 24025 24552 24800 24970 25344 25575 26400 27240 27280 27900 28148 28800 28830 29056 29760 29964 30690 30752 31680 31713 32688 32736 34050 34100 34596 35185 35200 35712 36320 37200 37455 38440 39600 39680 39952 40860 40920 42222 42240 42284 43245 43584 43648 44640 44946 45400 46128 48050 49104 49600 49940 51075 51150 52800 52855 54480 54560 55800 56296 57600 57660 58112 59520 59928 61380 61504 62425 63333 63360 63426 65376 65472 68100 68200 69192 70370 70400 71424 72075 72640 74400 74910 76725 76880 77407 79200 79904 81720 81840 84444 84568 86490 87168 87296 89280 89892 90800 92256 95139 96100 98208 99200 99880 102150 102300 105555 105600 105710 108960 109120 111600 112365 112592 115320 119040 119856 122760 123008 124850 126666 126720 126852 130752 130944 136200 136400 138384 140740 144150 145280 148800 149820 153450 153760 154814 158400 158565 159808 163440 163680 168888 169136 172980 174336 175925 178560 179784 181600 184512 187275 190278 192200 196416 198400 199760 204300 204600 211110 211200 211420 216225 217920 218147 218240 223200 224730 225184 230640 232221 239712 245520 246016 249700 253332 253704 261504 261888 264275 272400 272800 276768 281480 288300 290560 297600 299640 306900 307520 309628 316665 316800 317130 319616 326880 327360 337776 338272 345960 351850 357120 359568 363200 369024 374550 380556 384400 387035 392832 399520 408600 409200 422220 422840 432450 435840 436294 436480 446400 449460 450368 461280 464442 475695 479424 491040 499400 506664 507408 523008 527775 528550 544800 545600 553536 561825 562960 576600 595200 599280 613800 615040 619256 633330 633600 634260 639232 653760 654441 654720 675552 676544 691920 696663 703700 719136 726400 738048 749100 761112 768800 774070 785664 792825 799040 817200 818400 844440 845680 864900 871680 872588 892800 898920 900736 922560 928884 951390 958848 982080 998800 1013328 1014816 1055550 1057100 1089600 1090735 1091200 1107072 1123650 1125920 1153200 1161105 1198560 1227600 1230080 1238512 1266660 1268520 1307520 1308882 1309440 1351104 1353088 1383840 1393326 1407400 1438272 1452800 1498200 1522224 1537600 1548140 1583325 1585650 1598080 1634400 1636800 1688880 1691360 1729800 1745176 1785600 1797840 1801472 1845120 1857768 1902780 1917696 1935175 1963323 1964160 1997600 2026656 2029632 2111100 2114200 2179200 2181470 2182400 2214144 2247300 2251840 2306400 2322210 2378475 2397120 2399617 2455200 2477024 2533320 2537040 2615040 2617764 2702208 2706176 2767680 2786652 2814800 2876544 2996400 3044448 3075200 3096280 3166650 3171300 3196160 3268800 3272205 3273600 3377760 3382720 3459600 3483315 3490352 3595680 3690240 3715536 3805560 3870350 3926646 3928320 3995200 4053312 4059264 4222200 4228400 4358400 4362940 4494600 4503680 4612800 4644420 4756950 4794240 4799234 4910400 4954048 5066640 5074080 5235528 5404416 5453675 5535360 5573304 5629600 5753088 5805525 5992800 6088896 6150400 6192560 6333300 6342600 6537600 6544410 6547200 6755520 6765440 6919200 6966630 6980704 7191360 7198851 7431072 7611120 7740700 7853292 7990400 8106624 8118528 8444400 8456800 8725880 8989200 9007360 9225600 9288840 9513900 9588480 9598468 9816615 9820800 9908096 10133280 10148160 10471056 10907350 11070720 11146608 11259200 11611050 11985600 11998085 12177792 12385120 12666600 12685200 13075200 13088820 13511040 13530880 13838400 13933260 13961408 14382720 14397702 14862144 15222240 15481400 15706584 15980800 16213248 16361025 16888800 16913600 17416575 17451760 17978400 18451200 18577680 19027800 19196936 19633230 19641600 19816192 20266560 20296320 20942112 21596553 21814700 22293216 22518400 23222100 23971200 23996170 24355584 24770240 25333200 25370400 26177640 27022080 27676800 27866520 27922816 28765440 28795404 29724288 30444480 30962800 31413168 32722050 33777600 33827200 34833150 34903520 35956800 35994255 37155360 38055600 38393872 39266460 40533120 40592640 41884224 43193106 43629400 44586432 45036800 46444200 47942400 47992340 49083075 49540480 50666400 50740800 52355280 55353600 55733040 55845632 57590808 59448576 59990425 60888960 61925600 62826336 65444100 67555200 67654400 69666300 69807040 71913600 71988510 74310720 76111200 76787744 78532920 81066240 83768448 86386212 87258800 89172864 92888400 95984680 98166150 99080960 101332800 101481600 104710560 107982765 111466080 115181616 119980850 121777920 123851200 125652672 130888200 135110400 139332600 139614080 143827200 143977020 148621440 152222400 153575488 157065840 167536896 172772424 174517600 178345728 179971275 185776800 191969360 196332300 202665600 202963200 209421120 215965530 222932160 230363232 239961700 247702400 251305344 261776400 278665200 279228160 287954040 297242880 304444800 307150976 314131680 345544848 349035200 359942550 371553600 383938720 392664600 405331200 418842240 431931060 445864320 460726464 479923400 495404800 502610688 523552800 539913825 557330400 575908080 608889600 614301952 628263360 691089696 698070400 719885100 743107200 767877440 785329200 837684480 863862120 891728640 921452928 959846800 1047105600 1079827650 1114660800 1151816160 1256526720 1382179392 1396140800 1439770200 1486214400 1535754880 1570658400 1727724240 1842905856 1919693600 2094211200 2159655300 2229321600 2303632320 2513053440 2764358784 2879540400 3071509760 3141316800 3455448480 3839387200 4188422400 4319310600 4458643200 4607264640 5528717568 5759080800 6282633600 6910896960 7678774400 8638621200 9214529280 11518161600 12565267200 13821793920 15357548800 17277242400 23036323200 27643587840 34554484800 46072646400 69108969600 138217939200
- Sum of all divisors σ(n): 559488659184
- Sum of proper divisors (its aliquot sum) s(n): 421270719984
- 138217939200 is an abundant number, because the sum of its proper divisors (421270719984) is greater than itself. Its abundance is 283052780784
Bases of 138217939200
- Binary: 100000001011100110111001100001000000002
- Hexadecimal: 0x202E6E6100
- Base-36: 1RHVE4G0
Squares and roots of 138217939200
- 138217939200 squared (1382179392002) is 19104198716694896640000
- 138217939200 cubed (1382179392003) is 2640542976688853248737804288000000
-
The
square root of 138217939200 is 371776.7329997937 -
The
cube root of 138217939200 is 5170.3681919487
Scales and comparisons
How big is 138217939200?- 138,217,939,200 seconds is equal to 4,394 years, 46 weeks, 6 days, 16 hours.
-
To count from 1 to 138,217,939,200 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 138217939200 cubic inches would be around 430.9 feet tall.
Recreational maths with 138217939200
- 138217939200 backwards is 002939712831
- 138217939200 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138217939200's digits is 45
- More coming soon!
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The information we have on file for 138217939200 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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