138306698348544

Names of 138306698348544

• Cardinal: 138306698348544 can be written as One hundred thirty-eight trillion, three hundred six billion, six hundred ninety-eight million, three hundred forty-eight thousand, five hundred forty-four.

Scientific notation

• Scientific notation: 1.38306698348544 × 10¹⁴

Factors of 138306698348544

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 1142

Divisors of 138306698348544

• Number of divisors d(n): 648
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 121 128 132 144 176 192 198 242 256 264 269 288 352 363 384 396 484 512 528 538 576 704 726 768 792 807 857 968 1024 1056 1076 1089 1152 1408 1452 1536 1584 1614 1714 1936 2048 2112 2152 2178 2304 2421 2571 2816 2904 2959 3072 3168 3228 3428 3872 4224 4304 4356 4608 4842 5142 5632 5808 5918 6144 6336 6456 6856 7713 7744 8448 8608 8712 8877 9216 9427 9684 10284 11264 11616 11836 12672 12912 13712 15426 15488 16896 17216 17424 17754 18432 18854 19368 20568 22528 23232 23672 25344 25824 26631 27424 28281 30852 30976 32549 33792 34432 34848 35508 37708 38736 41136 46464 47344 50688 51648 53262 54848 56562 61704 61952 65098 67584 68864 69696 71016 72361 75416 77472 82272 84843 92928 94688 97647 101376 103296 103697 106524 109696 113124 123408 123904 130196 137728 139392 142032 144722 150832 154944 164544 169686 185856 189376 195294 202752 206592 207394 213048 217083 219392 226248 230533 246816 247808 260392 275456 278784 284064 289444 292941 301664 309888 311091 329088 339372 371712 378752 390588 413184 414788 426096 434166 438784 452496 461066 493632 520784 550912 557568 568128 578888 585882 603328 619776 622182 651249 658176 678744 691599 743424 757504 781176 795971 826368 829576 852192 868332 877568 904992 922132 933273 987264 1041568 1115136 1136256 1157776 1171764 1206656 1239552 1244364 1302498 1316352 1357488 1383198 1515008 1562352 1591942 1652736 1659152 1704384 1736664 1755136 1809984 1844264 1866546 1974528 2074797 2083136 2230272 2272512 2315552 2343528 2387913 2413312 2479104 2488728 2535863 2604996 2632704 2714976 2766396 3030016 3124704 3183884 3318304 3408768 3473328 3619968 3688528 3733092 3949056 4149594 4166272 4545024 4631104 4687056 4775826 4826624 4958208 4977456 5071726 5209992 5265408 5429952 5532792 6060032 6249408 6367768 6636608 6817536 6946656 7163739 7239936 7377056 7466184 7607589 7898112 8299188 8332544 8755681 9090048 9262208 9374112 9551652 9653248 9954912 10143452 10419984 10859904 11065584 12498816 12735536 13273216 13635072 13893312 14327478 14479872 14754112 14932368 15215178 15796224 16598376 16665088 17511362 18180096 18524416 18748224 19103304 19306496 19909824 20286904 20839968 21719808 22131168 22822767 24997632 25471072 26267043 26546432 27270144 27786624 27894493 28654956 28959744 29508224 29864736 30430356 33196752 33330176 35022724 37048832 37496448 38206608 39819648 40573808 41679936 43439616 44262336 45645534 49995264 50942144 52534086 53092864 54540288 55573248 55788986 57309912 57919488 59016448 59729472 60860712 62013377 66393504 66660352 70045448 74097664 74992896 76413216 78801129 79639296 81147616 83359872 83683479 86879232 88524672 91291068 99990528 101884288 105068172 106185728 111146496 111577972 114619824 118032896 119458944 121721424 124026754 132787008 140090896 148195328 149985792 152826432 157602258 159278592 162295232 166719744 167366958 173758464 177049344 182582136 186040131 199981056 203768576 210136344 212371456 222292992 223155944 229239648 236065792 238917888 243442848 248053508 251050437 265574016 280181792 299971584 305652864 315204516 318557184 324590464 333439488 334733916 354098688 365164272 372080262 407537152 420272688 444585984 446311888 458479296 472131584 477835776 486885696 496107016 502100874 531148032 558120393 560363584 599943168 611305728 630409032 637114368 649180928 666878976 669467832 682147147 708197376 730328544 744160524 815074304 840545376 892623776 916958592 955671552 973771392 992214032 1004201748 1062296064 1116240786 1120727168 1222611456 1260818064 1298361856 1333757952 1338935664 1364294294 1416394752 1460657088 1488321048 1630148608 1681090752 1785247552 1833917184 1911343104 1947542784 1984428064 2008403496 2046441441 2124592128 2232481572 2241454336 2445222912 2521636128 2596723712 2677871328 2728588588 2921314176 2976642096 3362181504 3570495104 3667834368 3895085568 3968856128 4016806992 4092882882 4249184256 4464963144 4482908672 4890445824 5043272256 5193447424 5355742656 5457177176 5842628352 5953284192 6139324323 6724363008 7140990208 7335668736 7503618617 7790171136 7937712256 8033613984 8185765764 8929926288 8965817344 10086544512 10711485312 10914354352 11685256704 11906568384 12278648646 13448726016 14281980416 14671337472 15007237234 15580342272 15875424512 16067227968 16371531528 17859852576 17931634688 20173089024 21422970624 21828708704 22510855851 23370513408 23813136768 24557297292 26897452032 28563960832 30014474468 31750849024 32134455936 32743063056 35719705152 40346178048 42845941248 43657417408 45021711702 46741026816 47626273536 49114594584 53794904064 57127921664 60028948936 63501698048 64268911872 65486126112 67532567553 71439410304 80692356096 85691882496 87314834816 90043423404 95252547072 98229189168 120057897872 127003396096 128537823744 130972252224 135065135106 142878820608 161384712192 171383764992 174629669632 180086846808 190505094144 196458378336 240115795744 257075647488 261944504448 270130270212 285757641216 349259339264 360173693616 381010188288 392916756672 480231591488 514151294976 523889008896 540260540424 571515282432 698518678528 720347387232 785833513344 960463182976 1047778017792 1080521080848 1143030564864 1397037357056 1440694774464 1571667026688 1920926365952 2095556035584 2161042161696 2881389548928 3143334053376 3841852731904 4191112071168 4322084323392 5762779097856 6286668106752 7683705463808 8644168646784 11525558195712 12573336213504 15367410927616 17288337293568 23051116391424 34576674587136 46102232782848 69153349174272 138306698348544
• Sum of all divisors σ(n): 441223068776490
• Sum of proper divisors (its aliquot sum) s(n): 302916370427946
• 138306698348544 is an abundant number, because the sum of its proper divisors (302916370427946) is greater than itself. Its abundance is 164609672079402

Bases of 138306698348544

• Binary: 11111011100101000001001101000000000100000000000₂
• Hexadecimal: 0x7DCA09A00800
• Base-36: 1D0X7X81S0

Squares and roots of 138306698348544

• 138306698348544 squared (138306698348544²) is 19128742808075143616906919936
• 138306698348544 cubed (138306698348544³) is 2645633261343329382827915926509736830173184
• The square root of 138306698348544 is 11760386.8281848621
• The cube root of 138306698348544 is 51714.7470359739

Scales and comparisons

• 138,306,698,348,544 seconds is equal to 4,397,725 years, 10 weeks, 1 day, 15 hours, 2 minutes, 24 seconds.
• To count from 1 to 138,306,698,348,544 would take you about ten million, nine hundred ninety-four thousand, three hundred twelve 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 138306698348544 cubic inches would be around 4309.6 feet tall.

Recreational maths with 138306698348544

• 138306698348544 backwards is 445843896603831
• 138306698348544 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 138306698348544's digits is 72
• More coming soon!