138382056038400
138,382,056,038,400 is an even composite number composed of six prime numbers multiplied together.
138382056038400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred seventy-two divisors.
Prime factorization of 138382056038400:
213 × 3 × 52 × 191 × 421 × 2801
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 191 × 421 × 2801)See below for interesting mathematical facts about the number 138382056038400 from the Numbermatics database.
Names of 138382056038400
- Cardinal: 138382056038400 can be written as One hundred thirty-eight trillion, three hundred eighty-two billion, fifty-six million, thirty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 1.383820560384 × 1014
Factors of 138382056038400
Divisors of 138382056038400
- Number of divisors d(n): 672
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 191 192 200 240 256 300 320 382 384 400 421 480 512 573 600 640 764 768 800 842 955 960 1024 1146 1200 1263 1280 1528 1536 1600 1684 1910 1920 2048 2105 2292 2400 2526 2560 2801 2865 3056 3072 3200 3368 3820 3840 4096 4210 4584 4775 4800 5052 5120 5602 5730 6112 6144 6315 6400 6736 7640 7680 8192 8403 8420 9168 9550 9600 10104 10240 10525 11204 11460 12224 12288 12630 12800 13472 14005 14325 15280 15360 16806 16840 18336 19100 19200 20208 20480 21050 22408 22920 24448 24576 25260 25600 26944 28010 28650 30560 30720 31575 33612 33680 36672 38200 38400 40416 40960 42015 42100 44816 45840 48896 50520 51200 53888 56020 57300 61120 61440 63150 67224 67360 70025 73344 76400 76800 80411 80832 84030 84200 89632 91680 97792 101040 102400 107776 112040 114600 122240 122880 126300 134448 134720 140050 146688 152800 153600 160822 161664 168060 168400 179264 183360 195584 202080 204800 210075 215552 224080 229200 241233 244480 252600 268896 269440 280100 293376 305600 307200 321644 323328 336120 336800 358528 366720 391168 402055 404160 420150 431104 448160 458400 482466 488960 505200 534991 537792 538880 560200 586752 611200 614400 643288 646656 672240 673600 717056 733440 782336 804110 808320 840300 862208 896320 916800 964932 977920 1010400 1069982 1075584 1077760 1120400 1173504 1179221 1206165 1222400 1286576 1293312 1344480 1347200 1434112 1466880 1564672 1604973 1608220 1616640 1680600 1724416 1792640 1833600 1929864 1955840 2010275 2020800 2139964 2151168 2155520 2240800 2347008 2358442 2412330 2444800 2573152 2586624 2674955 2688960 2694400 2868224 2933760 3209946 3216440 3233280 3361200 3448832 3537663 3585280 3667200 3859728 3911680 4020550 4041600 4279928 4302336 4311040 4481600 4694016 4716884 4824660 4889600 5146304 5173248 5349910 5377920 5388800 5736448 5867520 5896105 6030825 6419892 6432880 6466560 6722400 7075326 7170560 7334400 7719456 7823360 8024865 8041100 8083200 8559856 8604672 8622080 8963200 9433768 9649320 9779200 10292608 10346496 10699820 10755840 10777600 11472896 11735040 11792210 12061650 12839784 12865760 12933120 13374775 13444800 14150652 14341120 14668800 15438912 16049730 16082200 16166400 17119712 17209344 17244160 17688315 17926400 18867536 19298640 19558400 20585216 21399640 21511680 21555200 22945792 23470080 23584420 24123300 25679568 25731520 25866240 26749550 26889600 28301304 28682240 29337600 29480525 30877824 32099460 32164400 32332800 34239424 34418688 35376630 35852800 37735072 38597280 39116800 40124325 41170432 42799280 43023360 43110400 47168840 48246600 51359136 51463040 51732480 53499100 53779200 56602608 57364480 58675200 58961050 61755648 64198920 64328800 64665600 68478848 68837376 70753260 71705600 75470144 77194560 80248650 82340864 85598560 86046720 86220800 88441575 94337680 96493200 102718272 102926080 106998200 107558400 113205216 114728960 117350400 117922100 123511296 128397840 128657600 129331200 136957696 141506520 143411200 150940288 154389120 160497300 164681728 171197120 172093440 176883150 188675360 192986400 205436544 205852160 213996400 215116800 225231211 226410432 235844200 247022592 256795680 257315200 258662400 273915392 283013040 286822400 301880576 308778240 320994600 329363456 342394240 344186880 353766300 377350720 385972800 410873088 411704320 427992800 430233600 450462422 452820864 471688400 494045184 513591360 514630400 547830784 566026080 573644800 603761152 617556480 641989200 658726912 675693633 684788480 707532600 754701440 771945600 821746176 823408640 855985600 860467200 900924844 905641728 943376800 988090368 1027182720 1029260800 1095661568 1126156055 1132052160 1207522304 1235112960 1283978400 1351387266 1369576960 1415065200 1509402880 1543891200 1643492352 1646817280 1711971200 1720934400 1801849688 1811283456 1886753600 1976180736 2054365440 2058521600 2191323136 2252312110 2264104320 2415044608 2470225920 2567956800 2702774532 2739153920 2830130400 3018805760 3087782400 3286984704 3293634560 3378468165 3423942400 3603699376 3622566912 3773507200 4108730880 4117043200 4382646272 4504624220 4528208640 4830089216 4940451840 5135913600 5405549064 5478307840 5630780275 5660260800 6037611520 6175564800 6573969408 6756936330 6847884800 7207398752 7245133824 7547014400 8217461760 8234086400 9009248440 9056417280 9660178432 9880903680 10271827200 10811098128 10956615680 11261560550 11320521600 12075223040 12351129600 13147938816 13513872660 13695769600 14414797504 14490267648 15094028800 16434923520 16468172800 16892340825 18018496880 18112834560 20543654400 21622196256 21913231360 22523121100 22641043200 24150446080 24702259200 27027745320 27391539200 28829595008 28980535296 30188057600 32869847040 33784681650 36036993760 36225669120 41087308800 43244392512 45046242200 45282086400 48300892160 49404518400 54055490640 54783078400 57659190016 60376115200 65739694080 67569363300 72073987520 72451338240 82174617600 86488785024 90092484400 90564172800 108110981280 109566156800 115318380032 120752230400 135138726600 144147975040 144902676480 164349235200 172977570048 180184968800 181128345600 216221962560 230636760064 241504460800 270277453200 288295950080 328698470400 345955140096 360369937600 362256691200 432443925120 461273520128 540554906400 576591900160 691910280192 720739875200 724513382400 864887850240 922547040256 1081109812800 1153183800320 1383820560384 1441479750400 1729775700480 1845094080512 2162219625600 2306367600640 2767641120768 2882959500800 3459551400960 4324439251200 4612735201280 5535282241536 5765919001600 6919102801920 8648878502400 9225470402560 11531838003200 13838205603840 17297757004800 23063676006400 27676411207680 34595514009600 46127352012800 69191028019200 138382056038400
- Sum of all divisors σ(n): 461208101078016
- Sum of proper divisors (its aliquot sum) s(n): 322826045039616
- 138382056038400 is an abundant number, because the sum of its proper divisors (322826045039616) is greater than itself. Its abundance is 184443989001216
Bases of 138382056038400
- Binary: 111110111011011100101010100101100100000000000002
- Hexadecimal: 0x7DDB954B2000
- Base-36: 1D1VU78VEO
Squares and roots of 138382056038400
- 138382056038400 squared (1383820560384002) is 19149593433414877902274560000
- 138382056038400 cubed (1383820560384003) is 2649960111615394292948852000742703104000000
-
The
square root of 138382056038400 is 11763590.2699133481 -
The
cube root of 138382056038400 is 51724.1377508073
Scales and comparisons
How big is 138382056038400?- 138,382,056,038,400 seconds is equal to 4,400,121 years, 17 weeks, 4 days, 2 hours, 40 minutes.
-
To count from 1 to 138,382,056,038,400 would take you about eleven million, three hundred three 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 138382056038400 cubic inches would be around 4310.3 feet tall.
Recreational maths with 138382056038400
- 138382056038400 backwards is 004830650283831
- The number of decimal digits it has is: 15
- The sum of 138382056038400's digits is 51
- More coming soon!
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The information we have on file for 138382056038400 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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