138037290350899840

Names of 138037290350899840

• Cardinal: 138037290350899840 can be written as One hundred thirty-eight quadrillion, thirty-seven trillion, two hundred ninety billion, three hundred fifty million, eight hundred ninety-nine thousand, eight hundred forty.

Scientific notation

• Scientific notation: 1.3803729035089984 × 10¹⁷

Factors of 138037290350899840

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 2208

Divisors of 138037290350899840

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 4 5 8 10 16 20 32 40 41 64 80 82 128 160 164 181 205 320 328 362 410 640 656 724 820 905 1312 1448 1640 1681 1810 1979 2624 2896 3280 3362 3620 3958 5248 5792 6560 6724 7240 7421 7916 8405 9895 11584 13120 13448 14480 14842 15832 16810 19790 23168 26240 26896 28960 29684 31664 32761 33620 37105 39580 53792 57920 59368 63328 65522 67240 74210 79160 81139 107584 115840 118736 126656 131044 134480 148420 158320 162278 163805 215168 237472 253312 262088 268960 296840 304261 316640 324556 327610 358199 405695 474944 524176 537920 593680 608522 633280 649112 655220 716398 811390 949888 1048352 1075840 1187360 1217044 1266560 1298224 1310440 1343201 1432796 1521305 1622780 1790995 2096704 2374720 2434088 2596448 2620880 2686402 2865592 3042610 3245560 3326699 3581990 3916441 4193408 4749440 4868176 5192896 5241760 5372804 5731184 6085220 6491120 6653398 6716005 7163980 7832882 9736352 10385792 10483520 10745608 11462368 12170440 12982240 13306796 13432010 14327960 14686159 15665764 16633495 19472704 19582205 20967040 21491216 22924736 24340880 25964480 26613592 26864020 28655920 29372318 31331528 33266990 38945408 39164410 42982432 45849472 48681760 51928960 53227184 53728040 55071241 57311840 58744636 62663056 64834019 66533980 73430795 78328820 85964864 97363520 106454368 107456080 110142482 114623680 117489272 125326112 129668038 133067960 146861590 156657640 160574081 171929728 194727040 212908736 214912160 220284964 229247360 234978544 250652224 259336076 266135920 275356205 293723180 313315280 321148162 324170095 425817472 429824320 440569928 469957088 501304448 518672152 532271840 550712410 587446360 602132519 626630560 642296324 648340190 708875821 802870405 859648640 881139856 939914176 1037344304 1064543680 1101424820 1174892720 1204265038 1253261120 1284592648 1296680380 1417751642 1605740810 1762279712 1879828352 2074688608 2129087360 2202849640 2349785440 2408530076 2506522240 2569185296 2593360760 2658194779 2835503284 3010662595 3211481620 3524559424 3544379105 4149377216 4405699280 4699570880 4817060152 5138370592 5186721520 5316389558 5671006568 6021325190 6422963240 6583537321 7049118848 7088758210 8298754432 8811398560 9399141760 9634120304 10276741184 10373443040 10632779116 11342013136 12042650380 12845926480 13167074642 13290973895 14177516420 17622797120 19268240608 20553482368 20746886080 21265558232 22684026272 24085300760 25691852960 26334149284 26581947790 28355032840 29063908661 32917686605 35245594240 38536481216 41493772160 42531116464 45368052544 48170601520 51383705920 52668298568 53163895580 56710065680 58127817322 65835373210 77072962432 85062232928 90736105088 96341203040 102767411840 105336597136 106327791160 108985985939 113420131360 116255634644 128306523601 131670746420 145319543305 170124465856 192682406080 210673194272 212655582320 217971971878 226840262720 232511269288 256613047202 263341492840 290639086610 340248931712 385364812160 421346388544 425311164640 435943943756 453680525440 465022538576 513226094404 526682985680 544929929695 581278173220 641532618005 842692777088 850622329280 871887887512 930045077152 1026452188808 1053365971360 1089859859390 1162556346440 1191620255101 1283065236010 1701244658560 1743775775024 1860090154304 2052904377616 2106731942720 2179719718780 2325112692880 2383240510202 2566130472020 3487551550048 3720180308608 4105808755232 4213463885440 4359439437560 4650225385760 4766481020404 5132260944040 5260567467641 5958101275505 6975103100096 8211617510464 8718878875120 9300450771520 9532962040808 10264521888080 10521134935282 11916202551010 13950206200192 16423235020928 17437757750240 18600901543040 19065924081616 20529043776160 21042269870564 23832405102020 26302837338205 34875515500480 38131848163232 41058087552320 42084539741128 47664810204040 52605674676410 69751031000960 76263696326464 82116175104640 84169079482256 95329620408080 105211349352820 152527392652928 168338158964512 190659240816160 210422698705640 215683266173281 336676317929024 381318481632320 420845397411280 431366532346562 673352635858048 762636963264640 841690794822560 862733064693124 1078416330866405 1683381589645120 1725466129386248 2156832661732810 3366763179290240 3450932258772496 4313665323465620 6901864517544992 8627330646931240 13803729035089984 17254661293862480 27607458070179968 34509322587724960 69018645175449920 138037290350899840
• Sum of all divisors σ(n): 340291381419078570
• Sum of proper divisors (its aliquot sum) s(n): 202254091068178730
• 138037290350899840 is an abundant number, because the sum of its proper divisors (202254091068178730) is greater than itself. Its abundance is 64216800717278890

Bases of 138037290350899840

• Binary: 111101010011010000010111100101001000111110111001010000000₂
• Hexadecimal: 0x1EA682F291F7280
• Base-36: 11R64VR5PDOG

Squares and roots of 138037290350899840

• 138037290350899840 squared (138037290350899840²) is 19054293527418626073197897712025600
• 138037290350899840 cubed (138037290350899840³) is 2630203048075556388751810935970184830110149115904000
• The square root of 138037290350899840 is 371533700.1550462851
• The cube root of 138037290350899840 is 516811.4677723805

Scales and comparisons

• 138,037,290,350,899,840 seconds is equal to 4,389,158,855 years, 40 weeks, 5 days, 18 hours, 50 minutes, 40 seconds.
• To count from 1 to 138,037,290,350,899,840 would take you about thirteen billion, one hundred sixty-seven million, four hundred seventy-six thousand, five hundred sixty-seven 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 138037290350899840 cubic inches would be around 43067.6 feet tall.

Recreational maths with 138037290350899840

• 138037290350899840 backwards is 048998053092730831
• The number of decimal digits it has is: 18
• The sum of 138037290350899840's digits is 79
• More coming soon!