138164903737344

Names of 138164903737344

• Cardinal: 138164903737344 can be written as One hundred thirty-eight trillion, one hundred sixty-four billion, nine hundred three million, seven hundred thirty-seven thousand, three hundred forty-four.

Scientific notation

• Scientific notation: 1.38164903737344 × 10¹⁴

Factors of 138164903737344

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 205595

Divisors of 138164903737344

• Number of divisors d(n): 576
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 16 18 22 24 31 32 33 36 44 48 62 64 66 72 88 93 96 99 107 124 128 132 144 176 186 192 198 214 248 256 264 279 288 321 341 352 372 384 396 428 496 512 528 558 576 642 682 704 744 768 792 856 963 992 1023 1024 1056 1116 1152 1177 1284 1364 1408 1488 1536 1584 1712 1926 1984 2046 2048 2112 2232 2304 2354 2568 2728 2816 2976 3069 3072 3168 3317 3424 3531 3852 3968 4092 4224 4464 4608 4708 5136 5456 5632 5952 6138 6144 6336 6634 6848 7062 7704 7936 8184 8448 8928 9216 9416 9951 10272 10593 10912 11264 11904 12276 12672 13268 13696 14124 15408 15872 16368 16896 17856 18432 18832 19902 20544 21186 21824 22528 23808 24552 25344 26536 27392 28248 29853 30816 31744 32736 33792 35712 36487 37664 39804 41088 42372 43648 47616 49104 50688 53072 54784 56496 59706 61632 63488 65472 67584 71424 72974 75328 79608 82176 84744 87296 95232 98208 101376 106144 109461 109568 112992 119412 123264 130944 142848 145948 150656 159216 164352 169488 174592 190464 196416 202752 205441 212288 218922 219136 225984 238824 246528 261888 285696 291896 301312 318432 328383 328704 338976 349184 392832 410882 424576 437844 451968 477648 493056 523776 571392 583792 602624 616323 636864 656766 657408 677952 698368 785664 821764 849152 875688 903936 955296 986112 1047552 1167584 1205248 1232646 1273728 1313532 1355904 1571328 1643528 1698304 1751376 1807872 1848969 1910592 1972224 2095104 2259851 2335168 2410496 2465292 2547456 2627064 2711808 3142656 3287056 3396608 3502752 3615744 3697938 3821184 4519702 4670336 4930584 5094912 5254128 5423616 6285312 6368671 6574112 6779553 6793216 7005504 7231488 7395876 7642368 9039404 9340672 9861168 10189824 10508256 10847232 12737342 13148224 13559106 14011008 14791752 15284736 18078808 18681344 19106013 19722336 20338659 20379648 21016512 21694464 21982187 25474684 26296448 27118212 28022016 29583504 30569472 36157616 37362688 38212026 39444672 40677318 42033024 43964374 50949368 52592896 54236424 56044032 57318039 59167008 61138944 65946561 70055381 72315232 74725376 76424052 78889344 81354636 84066048 87928748 101898736 105185792 108472848 112088064 114636078 118334016 131893122 140110762 144630464 152848104 157778688 162709272 168132096 175857496 197839683 203797472 210166143 210371584 216945696 224176128 229272156 236668032 241804057 263786244 280221524 289260928 305696208 315557376 325418544 336264192 351714992 395679366 407594944 420332286 420743168 433891392 458544312 473336064 483608114 527572488 560443048 578521856 611392416 630498429 631114752 650837088 672528384 681447797 703429984 725412171 791358732 815189888 840664572 867782784 917088624 946672128 967216228 1055144976 1120886096 1157043712 1222784832 1260996858 1262229504 1301674176 1362895594 1406859968 1450824342 1582717464 1630379776 1681329144 1735565568 1834177248 1893344256 1934432456 2044343391 2110289952 2176236513 2241772192 2314087424 2445569664 2521993716 2603348352 2725791188 2813719936 2901648684 3165434928 3260759552 3362658288 3471131136 3668354496 3786688512 3868864912 4088686782 4220579904 4352473026 4483544384 4628174848 4891139328 5043987432 5206696704 5451582376 5627439872 5803297368 6133030173 6330869856 6521519104 6725316576 6942262272 7336708992 7495925767 7737729824 8177373564 8441159808 8704946052 8967088768 9782278656 10087974864 10413393408 10903164752 11254879744 11606594736 12266060346 12661739712 13043038208 13450633152 13884524544 14673417984 14991851534 15475459648 16354747128 16882319616 17409892104 17934177536 19564557312 20175949728 20826786816 21806329504 22487777301 22509759488 23213189472 24532120692 25323479424 26901266304 29346835968 29983703068 30950919296 32709494256 33764639232 34819784208 35868355072 39129114624 40351899456 41653573632 43612659008 44975554602 45019518976 46426378944 49064241384 50646958848 53802532608 58693671936 59967406136 61901838592 65418988512 67463331903 67529278464 69639568416 71736710144 80703798912 87225318016 89951109204 92852757888 98128482768 101293917696 107605065216 117387343872 119934812272 123803677184 130837977024 134926663806 135058556928 139279136832 143473420288 161407597824 174450636032 179902218408 185705515776 196256965536 202587835392 215210130432 239869624544 247607354368 261675954048 269853327612 278558273664 322815195648 348901272064 359804436816 371411031552 392513931072 405175670784 430420260864 479739249088 495214708736 523351908096 539706655224 557116547328 645630391296 697802544128 719608873632 742822063104 785027862144 959478498176 1046703816192 1079413310448 1114233094656 1291260782592 1395605088256 1439217747264 1485644126208 1570055724288 1918956996352 2093407632384 2158826620896 2228466189312 2878435494528 3140111448576 3837913992704 4186815264768 4317653241792 4456932378624 5756870989056 6280222897152 7675827985408 8635306483584 11513741978112 12560445794304 15351655970816 17270612967168 23027483956224 34541225934336 46054967912448 69082451868672 138164903737344
• Sum of all divisors σ(n): 453567024368640
• Sum of proper divisors (its aliquot sum) s(n): 315402120631296
• 138164903737344 is an abundant number, because the sum of its proper divisors (315402120631296) is greater than itself. Its abundance is 177237216893952

Bases of 138164903737344

• Binary: 11111011010100100000110000000011111100000000000₂
• Hexadecimal: 0x7DA90601F800
• Base-36: 1CZ42WDFK0

Squares and roots of 138164903737344

• 138164903737344 squared (138164903737344²) is 19089540624749534018940174336
• 138164903737344 cubed (138164903737344³) is 2637504542808637009437389761597953313603584
• The square root of 138164903737344 is 11754356.7981129449
• The cube root of 138164903737344 is 51697.0680180187

Scales and comparisons

• 138,164,903,737,344 seconds is equal to 4,393,216 years, 29 weeks, 3 days, 7 hours, 2 minutes, 24 seconds.
• To count from 1 to 138,164,903,737,344 would take you about ten million, nine hundred eighty-three thousand and forty-one 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 138164903737344 cubic inches would be around 4308.1 feet tall.

Recreational maths with 138164903737344

• 138164903737344 backwards is 443737309461831
• The number of decimal digits it has is: 15
• The sum of 138164903737344's digits is 63
• More coming soon!