138297139200
138,297,139,200 is an even composite number composed of six prime numbers multiplied together.
What does the number 138297139200 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1008 divisors.
138297139200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 138297139200:
213 × 32 × 52 × 11 × 19 × 359
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 11 × 19 × 359)See below for interesting mathematical facts about the number 138297139200 from the Numbermatics database.
Names of 138297139200
- Cardinal: 138297139200 can be written as One hundred thirty-eight billion, two hundred ninety-seven million, one hundred thirty-nine thousand, two hundred.
Scientific notation
- Scientific notation: 1.382971392 × 1011
Factors of 138297139200
Divisors of 138297139200
- Number of divisors d(n): 1008
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 19 20 22 24 25 30 32 33 36 38 40 44 45 48 50 55 57 60 64 66 72 75 76 80 88 90 95 96 99 100 110 114 120 128 132 144 150 152 160 165 171 176 180 190 192 198 200 209 220 225 228 240 256 264 275 285 288 300 304 320 330 342 352 359 360 380 384 396 400 418 440 450 456 475 480 495 512 528 550 570 576 600 608 627 640 660 684 704 718 720 760 768 792 800 825 836 855 880 900 912 950 960 990 1024 1045 1056 1077 1100 1140 1152 1200 1216 1254 1280 1320 1368 1408 1425 1436 1440 1520 1536 1584 1600 1650 1672 1710 1760 1795 1800 1824 1881 1900 1920 1980 2048 2090 2112 2154 2200 2280 2304 2400 2432 2475 2508 2560 2640 2736 2816 2850 2872 2880 3040 3072 3135 3168 3200 3231 3300 3344 3420 3520 3590 3600 3648 3762 3800 3840 3949 3960 4096 4180 4224 4275 4308 4400 4560 4608 4800 4864 4950 5016 5120 5225 5280 5385 5472 5632 5700 5744 5760 6080 6144 6270 6336 6400 6462 6600 6688 6821 6840 7040 7180 7200 7296 7524 7600 7680 7898 7920 8192 8360 8448 8550 8616 8800 8975 9120 9216 9405 9600 9728 9900 10032 10240 10450 10560 10770 10944 11264 11400 11488 11520 11847 12160 12288 12540 12672 12800 12924 13200 13376 13642 13680 14080 14360 14400 14592 15048 15200 15360 15675 15796 15840 16155 16720 16896 17100 17232 17600 17950 18240 18432 18810 19200 19456 19745 19800 20064 20463 20480 20900 21120 21540 21888 22528 22800 22976 23040 23694 24320 24576 25080 25344 25600 25848 26400 26752 26925 27284 27360 28160 28720 28800 29184 30096 30400 30720 31350 31592 31680 32310 33440 33792 34105 34200 34464 35200 35541 35900 36480 36864 37620 38400 38912 39490 39600 40128 40926 40960 41800 42240 43080 43776 45056 45600 45952 46080 47025 47388 48640 50160 50688 51200 51696 52800 53504 53850 54568 54720 56320 57440 57600 58368 59235 60192 60800 61389 61440 62700 63184 63360 64620 66880 67584 68210 68400 68928 70400 71082 71800 72960 73728 75031 75240 76800 77824 78980 79200 80256 80775 81852 83600 84480 86160 87552 90112 91200 91904 92160 94050 94776 97280 98725 100320 101376 102315 102400 103392 105600 107008 107700 109136 109440 112640 114880 115200 116736 118470 120384 121600 122778 122880 125400 126368 126720 129240 133760 135168 136420 136800 137856 140800 142164 143600 145920 150062 150480 153600 155648 157960 158400 160512 161550 163704 167200 168960 170525 172320 175104 177705 182400 183808 184320 188100 189552 194560 197450 200640 202752 204630 204800 206784 211200 214016 215400 218272 218880 225093 225280 229760 230400 233472 236940 240768 243200 245556 250800 252736 253440 258480 267520 270336 272840 273600 275712 281600 284328 287200 291840 296175 300124 300960 306945 307200 315920 316800 321024 323100 327408 334400 337920 341050 344640 350208 355410 364800 367616 368640 375155 376200 379104 389120 394900 401280 405504 409260 413568 422400 428032 430800 436544 437760 450186 450560 459520 460800 466944 473880 481536 486400 491112 501600 505472 506880 511575 516960 535040 545680 547200 551424 563200 568656 574400 583680 592350 600248 601920 613890 614400 631840 633600 642048 646200 654816 668800 675279 675840 682100 689280 700416 710820 729600 735232 750310 752400 758208 778240 789800 802560 811008 818520 827136 844800 856064 861600 873088 875520 888525 900372 919040 921600 947760 963072 972800 982224 1003200 1010944 1013760 1023150 1033920 1070080 1091360 1094400 1102848 1125465 1126400 1137312 1148800 1167360 1184700 1200496 1203840 1227780 1263680 1267200 1284096 1292400 1309632 1337600 1350558 1351680 1364200 1378560 1400832 1421640 1459200 1470464 1500620 1504800 1516416 1534725 1579600 1605120 1637040 1654272 1689600 1712128 1723200 1746176 1751040 1777050 1800744 1838080 1843200 1875775 1895520 1926144 1945600 1964448 2006400 2021888 2027520 2046300 2067840 2140160 2182720 2188800 2205696 2250930 2252800 2274624 2297600 2334720 2369400 2400992 2407680 2455560 2527360 2534400 2568192 2584800 2619264 2675200 2701116 2728400 2757120 2843280 2918400 2940928 3001240 3009600 3032832 3069450 3159200 3210240 3274080 3308544 3376395 3379200 3446400 3492352 3502080 3554100 3601488 3676160 3751550 3791040 3852288 3891200 3928896 4012800 4043776 4055040 4092600 4135680 4280320 4365440 4377600 4411392 4501860 4549248 4595200 4738800 4801984 4815360 4911120 5054720 5068800 5136384 5169600 5238528 5350400 5402232 5456800 5514240 5627325 5686560 5836800 6002480 6019200 6065664 6138900 6318400 6420480 6548160 6617088 6752790 6758400 6892800 6984704 7004160 7108200 7202976 7352320 7503100 7582080 7704576 7857792 8025600 8087552 8185200 8271360 8560640 8730880 8755200 8822784 9003720 9098496 9190400 9477600 9603968 9630720 9822240 10109440 10137600 10339200 10477056 10700800 10804464 10913600 11028480 11254650 11373120 11673600 12004960 12038400 12131328 12277800 12636800 12840960 13096320 13234176 13505580 13785600 13969408 14216400 14405952 14704640 15006200 15164160 15409152 15715584 16051200 16175104 16370400 16542720 16881975 17461760 17510400 18007440 18196992 18380800 18955200 19207936 19261440 19644480 20218880 20275200 20678400 20954112 21401600 21608928 21827200 22056960 22509300 22746240 24009920 24076800 24262656 24555600 25273600 25681920 26192640 26468352 27011160 27571200 27938816 28432800 28811904 30012400 30328320 31431168 32102400 32350208 32740800 33085440 33763950 34923520 35020800 36014880 36393984 36761600 37910400 38415872 38522880 39288960 40437760 41356800 41908224 42803200 43217856 43654400 44113920 45018600 45492480 48019840 48153600 48525312 49111200 50547200 52385280 54022320 55142400 55877632 56865600 57623808 60024800 60656640 62862336 64204800 65481600 66170880 67527900 69847040 72029760 72787968 73523200 75820800 76831744 77045760 78577920 80875520 82713600 83816448 86435712 87308800 90037200 90984960 96039680 96307200 97050624 98222400 101094400 104770560 108044640 110284800 113731200 115247616 120049600 121313280 125724672 128409600 130963200 132341760 135055800 139694080 144059520 145575936 151641600 153663488 157155840 161751040 165427200 167632896 172871424 174617600 180074400 181969920 192079360 192614400 196444800 202188800 209541120 216089280 220569600 227462400 230495232 240099200 242626560 251449344 261926400 270111600 279388160 288119040 291151872 303283200 307326976 314311680 330854400 345742848 349235200 360148800 363939840 384158720 385228800 392889600 404377600 419082240 432178560 454924800 460990464 480198400 485253120 502898688 523852800 540223200 576238080 606566400 614653952 628623360 661708800 691485696 698470400 720297600 727879680 768317440 785779200 808755200 838164480 864357120 909849600 921980928 960396800 1047705600 1080446400 1152476160 1213132800 1257246720 1382971392 1396940800 1440595200 1455759360 1536634880 1571558400 1728714240 1819699200 1843961856 1920793600 2095411200 2160892800 2304952320 2426265600 2514493440 2765942784 2881190400 3073269760 3143116800 3457428480 3639398400 3841587200 4190822400 4321785600 4609904640 5531885568 5762380800 6286233600 6914856960 7278796800 7683174400 8643571200 9219809280 11524761600 12572467200 13829713920 15366348800 17287142400 23049523200 27659427840 34574284800 46099046400 69148569600 138297139200
- Sum of all divisors σ(n): 570442953600
- Sum of proper divisors (its aliquot sum) s(n): 432145814400
- 138297139200 is an abundant number, because the sum of its proper divisors (432145814400) is greater than itself. Its abundance is 293848675200
Bases of 138297139200
- Binary: 100000001100110010011011100000000000002
- Hexadecimal: 0x203326E000
- Base-36: 1RJ6JNK0
Squares and roots of 138297139200
- 138297139200 squared (1382971392002) is 19126098710904176640000
- 138297139200 cubed (1382971392003) is 2645084735774855474643468288000000
-
The
square root of 138297139200 is 371883.2332870091 -
The
cube root of 138297139200 is 5171.3555576837
Scales and comparisons
How big is 138297139200?- 138,297,139,200 seconds is equal to 4,397 years, 21 weeks, 6 days, 8 hours.
-
To count from 1 to 138,297,139,200 would take you about eight thousand, seven hundred ninety-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 138297139200 cubic inches would be around 430.9 feet tall.
Recreational maths with 138297139200
- 138297139200 backwards is 002931792831
- 138297139200 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138297139200's digits is 45
- More coming soon!
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The information we have on file for 138297139200 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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