138033841310400
138,033,841,310,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138033841310400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1008 divisors.
138033841310400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 138033841310400:
26 × 3 × 52 × 72 × 31 × 43 × 440269
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 7 × 31 × 43 × 440269)See below for interesting mathematical facts about the number 138033841310400 from the Numbermatics database.
Names of 138033841310400
- Cardinal: 138033841310400 can be written as One hundred thirty-eight trillion, thirty-three billion, eight hundred forty-one million, three hundred ten thousand, four hundred.
Scientific notation
- Scientific notation: 1.380338413104 × 1014
Factors of 138033841310400
Divisors of 138033841310400
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 31 32 35 40 42 43 48 49 50 56 60 62 64 70 75 80 84 86 93 96 98 100 105 112 120 124 129 140 147 150 155 160 168 172 175 186 192 196 200 210 215 217 224 240 245 248 258 280 294 300 301 310 320 336 344 350 372 392 400 420 430 434 448 465 480 490 496 516 525 560 588 600 602 620 645 651 672 688 700 735 744 775 784 800 840 860 868 903 930 960 980 992 1032 1050 1075 1085 1120 1176 1200 1204 1225 1240 1290 1302 1333 1344 1376 1400 1470 1488 1505 1519 1550 1568 1600 1680 1720 1736 1806 1860 1960 1984 2064 2100 2107 2150 2170 2240 2325 2352 2400 2408 2450 2480 2580 2604 2666 2752 2800 2940 2976 3010 3038 3100 3136 3225 3255 3360 3440 3472 3612 3675 3720 3920 3999 4128 4200 4214 4300 4340 4515 4557 4650 4704 4800 4816 4900 4960 5160 5208 5332 5425 5600 5880 5952 6020 6076 6200 6321 6450 6510 6665 6720 6880 6944 7224 7350 7440 7525 7595 7840 7998 8256 8400 8428 8600 8680 9030 9114 9300 9331 9408 9632 9800 9920 10320 10416 10535 10664 10850 11200 11760 12040 12152 12400 12642 12900 13020 13330 13760 13888 14448 14700 14880 15050 15190 15680 15996 16275 16800 16856 17200 17360 18060 18228 18600 18662 19264 19600 19995 20640 20832 21070 21328 21700 22575 22785 23520 24080 24304 24800 25284 25800 26040 26660 27993 28896 29400 29760 30100 30380 31605 31992 32550 33325 33600 33712 34400 34720 36120 36456 37200 37324 37975 39200 39990 41280 41664 42140 42656 43400 45150 45570 46655 47040 48160 48608 49600 50568 51600 52080 52675 53320 55986 57792 58800 60200 60760 63210 63984 65100 65317 66650 67424 68800 69440 72240 72912 74400 74648 75950 78400 79980 84280 85312 86800 90300 91140 93310 96320 97216 99975 101136 103200 104160 105350 106640 111972 113925 117600 120400 121520 126420 127968 130200 130634 133300 134848 139965 144480 145824 148800 149296 151900 158025 159960 168560 173600 180600 182280 186620 195951 199950 202272 206400 208320 210700 213280 223944 227850 233275 235200 240800 243040 252840 255936 260400 261268 266600 279930 288960 291648 298592 303800 316050 319920 326585 337120 347200 361200 364560 373240 391902 399900 404544 421400 426560 440269 447888 455700 466550 481600 486080 505680 520800 522536 533200 559860 597184 607600 632100 639840 653170 674240 699825 722400 729120 746480 783804 799800 842800 880538 895776 911400 933100 979755 1011360 1041600 1045072 1066400 1119720 1215200 1264200 1279680 1306340 1320807 1399650 1444800 1458240 1492960 1567608 1599600 1632925 1685600 1761076 1791552 1822800 1866200 1959510 2022720 2090144 2132800 2201345 2239440 2430400 2528400 2612680 2641614 2799300 2985920 3081883 3135216 3199200 3265850 3371200 3522152 3645600 3732400 3919020 4180288 4402690 4478880 4898775 5056800 5225360 5283228 5598600 6163766 6270432 6398400 6531700 6604035 7044304 7291200 7464800 7838040 8805380 8957760 9245649 9797550 10113600 10450720 10566456 11006725 11197200 12327532 12540864 13063400 13208070 13648339 14088608 14929600 15409415 15676080 17610760 18491298 18931567 19595100 20901440 21132912 21573181 22013450 22394400 24655064 26126800 26416140 27296678 28177216 30818830 31352160 33020175 35221520 36982596 37863134 39190200 40945017 42265824 43146362 44026900 44788800 46228245 49310128 52253600 52832280 54593356 56794701 61637660 62704320 64719543 66040350 68241695 70443040 73965192 75726268 77047075 78380400 81890034 84531648 86292724 88053800 92456490 94657835 95538373 98620256 104507200 105664560 107865905 109186712 113589402 123275320 129439086 132080700 132520969 136483390 140886080 147930384 151452536 154094150 156760800 163780068 172585448 176107600 184912980 189315670 191076746 197240512 204725085 211329120 215731810 218373424 227178804 231141225 246550640 258878172 264161400 265041938 272966780 283973505 286615119 295860768 302905072 308188300 313521600 323597715 327560136 341208475 345170896 352215200 369825960 378631340 382153492 397562907 409450170 422658240 431463620 436746848 454357608 462282450 473289175 477691865 493101280 517756344 528322800 530083876 539329525 545933560 567947010 573230238 586878577 591721536 605810144 616376600 647195430 655120272 662604845 668768611 682416950 690341792 704430400 739651920 757262680 764306984 795125814 818900340 862927240 873493696 908715216 924564900 927646783 946578350 955383730 986202560 1023625425 1035512688 1056645600 1060167752 1078659050 1091867120 1135894020 1146460476 1173757154 1211620288 1232753200 1294390860 1310240544 1325209690 1337537222 1364833900 1380683584 1419867525 1433075595 1479303840 1514525360 1528613968 1590251628 1617988575 1637800680 1725854480 1760635731 1817430432 1849129800 1855293566 1893156700 1910767460 1987814535 2006305833 2047250850 2071025376 2113291200 2120335504 2157318100 2183734240 2271788040 2292920952 2347514308 2388459325 2465506400 2588781720 2620481088 2650419380 2675074444 2729667800 2782940349 2839735050 2866151190 2934392885 2958607680 3029050720 3057227936 3180503256 3235977150 3275601360 3313024225 3343843055 3451708960 3521271462 3634860864 3698259600 3710587132 3786313400 3821534920 3975629070 4012611666 4094501700 4108150039 4142050752 4240671008 4314636200 4367468480 4543576080 4585841904 4638233915 4695028616 4776918650 4931012800 5177563440 5300838760 5350148888 5459335600 5565880698 5679470100 5732302380 5868785770 6058101440 6114455872 6361006512 6471954300 6551202720 6626048450 6687686110 6903417920 7042542924 7165377975 7396519200 7421174264 7572626800 7643069840 7951258140 8025223332 8189003400 8216300078 8481342016 8629272400 8803178655 9087152160 9171683808 9276467830 9390057232 9553837300 9939072675 10031529165 10355126880 10601677520 10700297776 10918671200 11131761396 11358940200 11464604760 11737571540 12324450117 12722013024 12943908600 13102405440 13252096900 13375372220 13914701745 14085085848 14330755950 14671964425 14793038400 14842348528 15145253600 15286139680 15902516280 16050446664 16378006800 16432600156 16719215275 17258544800 17606357310 18174304320 18343367616 18552935660 18780114464 19107674600 19878145350 20063058330 20540750195 20710253760 21203355040 21400595552 21837342400 22263522792 22717880400 22929209520 23191169575 23475143080 24648900234 25444026048 25887817200 26504193800 26750744440 27829403490 28170171696 28661511900 28757050273 29343928850 29684697056 30290507200 30572279360 31805032560 32100893328 32756013600 32865200312 33438430550 34517089600 35212714620 37105871320 37560228928 38215349200 39756290700 40126116660 41081500390 42406710080 42801191104 44015893275 44527045584 45435760800 45858419040 46382339150 46950286160 49297800468 50157645825 51775634400 53008387600 53501488880 55658806980 56340343392 57323023800 57514100546 58687857700 59369394112 61622250585 63610065120 64201786656 65512027200 65730400624 66876861100 69573508725 70425429240 74211742640 76430698400 79512581400 80252233320 82163000780 86271150819 88031786550 89054091168 90871521600 91716838080 92764678300 93900572320 98595600936 100315291650 102703750975 103551268800 106016775200 107002977760 111317613960 112680686784 114646047600 115028201092 117375715400 123244501170 127220130240 128403573312 131460801248 133753722200 139147017450 140850858480 143785251365 148423485280 152861396800 159025162800 160504466640 164326001560 172542301638 176063573100 178108182336 185529356600 187801144640 197191201872 200630583300 205407501950 212033550400 214005955520 222635227920 229292095200 230056402184 234751430800 246489002340 262921602496 267507444400 278294034900 281701716960 287570502730 296846970560 308111252925 318050325600 321008933280 328652003120 345084603276 352127146200 371058713200 394382403744 401261166600 410815003900 431355754095 445270455840 458584190400 460112804368 469502861600 492978004680 535014888800 556588069800 563403433920 575141005460 616222505850 636100651200 642017866560 657304006240 690169206552 704254292400 718926256825 742117426400 788764807488 802522333200 821630007800 862711508190 890540911680 920225608736 939005723200 985956009360 1070029777600 1113176139600 1150282010920 1232445011700 1314608012480 1380338413104 1408508584800 1437852513650 1484234852800 1605044666400 1643260015600 1725423016380 1840451217472 1971912018720 2156778770475 2226352279200 2300564021840 2464890023400 2760676826208 2817017169600 2875705027300 3210089332800 3286520031200 3450846032760 3943824037440 4313557540950 4452704558400 4601128043680 4929780046800 5521353652416 5751410054600 6573040062400 6901692065520 8627115081900 9202256087360 9859560093600 11502820109200 13803384131040 17254230163800 19719120187200 23005640218400 27606768262080 34508460327600 46011280436800 69016920655200 138033841310400
- Sum of all divisors σ(n): 556444700021760
- Sum of proper divisors (its aliquot sum) s(n): 418410858711360
- 138033841310400 is an abundant number, because the sum of its proper divisors (418410858711360) is greater than itself. Its abundance is 280377017400960
Bases of 138033841310400
- Binary: 111110110001010100000100001010000001010110000002
- Hexadecimal: 0x7D8A82140AC0
- Base-36: 1CXFVD6RPC
Squares and roots of 138033841310400
- 138033841310400 squared (1380338413104002) is 19053341346904689589148160000
- 138033841310400 cubed (1380338413104003) is 2630005895911524918982048091354148864000000
-
The
square root of 138033841310400 is 11748780.4180008403 -
The
cube root of 138033841310400 is 51680.7163335213
Scales and comparisons
How big is 138033841310400?- 138,033,841,310,400 seconds is equal to 4,389,049 years, 9 weeks, 5 days, 1 hour, 20 minutes.
-
To count from 1 to 138,033,841,310,400 would take you about ten million, nine hundred seventy-two thousand, six hundred twenty-two 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 138033841310400 cubic inches would be around 4306.7 feet tall.
Recreational maths with 138033841310400
- 138033841310400 backwards is 004013148330831
- The number of decimal digits it has is: 15
- The sum of 138033841310400's digits is 39
- More coming soon!
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The information we have on file for 138033841310400 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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