138031363768144

Names of 138031363768144

• Cardinal: 138031363768144 can be written as One hundred thirty-eight trillion, thirty-one billion, three hundred sixty-three million, seven hundred sixty-eight thousand, one hundred forty-four.

Scientific notation

• Scientific notation: 1.38031363768144 × 10¹⁴

Factors of 138031363768144

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 4550

Divisors of 138031363768144

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 4 7 8 11 14 16 19 22 28 38 44 56 76 77 88 112 121 133 152 154 176 209 239 242 266 304 308 418 478 484 532 613 616 836 847 956 968 1064 1226 1232 1463 1672 1673 1694 1912 1936 2128 2299 2452 2629 2926 3344 3346 3388 3659 3824 4291 4541 4598 4904 5258 5852 6692 6743 6776 7318 8582 9082 9196 9808 10516 11647 11704 13384 13486 13552 14636 16093 17164 18164 18392 18403 21032 23294 23408 25613 26768 26972 28919 29272 31787 32186 34328 36328 36784 36806 40249 42064 46588 47201 49951 51226 53944 57838 58544 63574 64372 68656 69521 72656 73612 74173 80498 81529 93176 94402 99902 102452 107888 115676 127148 128117 128744 139042 146507 147224 148346 160996 163058 186352 188804 199804 202433 204904 231352 254296 256234 257488 278084 281743 293014 294448 296692 321992 326116 349657 377608 399608 404866 409808 442739 462704 486647 508592 512468 519211 549461 556168 563486 586028 593384 643984 652232 699314 755216 764731 799216 809732 874501 885478 896819 973294 1024936 1025549 1038422 1098922 1112336 1126972 1172056 1186768 1304464 1398628 1409287 1529462 1611577 1619464 1749002 1770956 1793638 1946588 2049872 2051098 2076844 2197844 2242967 2253944 2344112 2783633 2797256 2818574 3058924 3099173 3223154 3238928 3498004 3541912 3587276 3846227 3893176 4102196 4153688 4395688 4485934 4507888 5353117 5567266 5594512 5637148 6117848 6121507 6198346 6446308 6996008 7083824 7174552 7692454 7786352 8204392 8307376 8412041 8791376 8971868 9619511 9865009 10706234 11134532 11274296 11281039 12235696 12243014 12396692 12892616 13992016 14349104 15384908 15700769 16408784 16615519 16824082 17727347 17943736 19239022 19485431 19730018 21412468 22269064 22548592 22562078 24486028 24672637 24793384 25785232 30619963 30769816 31401538 33231038 33648164 35454694 35887472 38478044 38970862 39460036 42616373 42824936 44538128 45124156 48972056 49345274 49586768 58884287 61239926 61539632 62803076 66462076 67296328 67336577 70909388 76956088 77941724 78920072 85232746 85649872 90248312 97944112 98690548 105814621 116308633 117768574 122479852 124091429 125606152 132924152 134592656 134673154 141818776 153912176 155883448 157840144 170465492 172708459 180496624 182770709 197381096 211629242 214339741 232617266 235537148 244959704 248182858 251212304 265848304 269346308 271399007 283637552 298314611 311766896 336819593 340930984 345416918 365541418 394762192 423258484 428679482 465234532 468780103 471074296 489919408 496365716 536069113 538692616 542798014 596629222 673639186 681861968 690833836 731082836 740702347 846516968 857358964 930469064 937560206 942148592 992731432 1072138226 1077385232 1085596028 1193258444 1279394963 1347278372 1381667672 1462165672 1481404694 1693033936 1714717928 1860938128 1875120412 1899793049 1985462864 2010477799 2144276452 2171192056 2357737151 2386516888 2558789926 2694556744 2763335344 2924331344 2962809388 3281460721 3429435856 3750240824 3752483791 3799586098 4020955598 4288552904 4342384112 4715474302 4773033776 5117579852 5156581133 5389113488 5896760243 5925618776 6562921442 7500481648 7504967582 7599172196 8041911196 8577105808 9430948604 10185313147 10235159704 10313162266 11793520486 11851237552 13125842884 14073344593 15009935164 15198344392 16083822392 18861897208 20370626294 20470319408 20626324532 23587040972 26251685768 28146689186 30019870328 30396688784 32167644784 36096067931 37723794416 40741252588 41252649064 41277321701 47174081944 52503371536 56293378372 60039740656 64864362673 71297192029 72192135862 81482505176 82505298128 82554643402 94348163888 112038444617 112586756744 129728725346 142594384058 144384271724 162965010352 165109286804 224076889234 225173513488 259457450692 285188768116 288768543448 330218573608 448153778468 454050538711 518914901384 570377536232 577537086896 660437147216 784269112319 896307556936 908101077422 1037829802768 1140755072464 1232422890787 1568538224638 1792615113872 1816202154844 2464845781574 3137076449276 3632404309688 4929691563148 6274152898552 7264808619376 8626960235509 9859383126296 12548305797104 17253920471018 19718766252592 34507840942036 69015681884072 138031363768144
• Sum of all divisors σ(n): 355790227968000
• Sum of proper divisors (its aliquot sum) s(n): 217758864199856
• 138031363768144 is an abundant number, because the sum of its proper divisors (217758864199856) is greater than itself. Its abundance is 79727500431712

Bases of 138031363768144

• Binary: 11111011000100111101110011001111011111101010000₂
• Hexadecimal: 0x7D89EE67BF50
• Base-36: 1CXEQE4FV4

Squares and roots of 138031363768144

• 138031363768144 squared (138031363768144²) is 19052657383693696190589204736
• 138031363768144 cubed (138031363768144³) is 2629864282078439313034946269420089250729984
• The square root of 138031363768144 is 11748674.9792537881
• The cube root of 138031363768144 is 51680.4071293353

Scales and comparisons

• 138,031,363,768,144 seconds is equal to 4,388,970 years, 21 weeks, 1 day, 19 hours, 9 minutes, 4 seconds.
• To count from 1 to 138,031,363,768,144 would take you about ten million, nine hundred seventy-two thousand, four hundred twenty-six 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 138031363768144 cubic inches would be around 4306.7 feet tall.

Recreational maths with 138031363768144

• 138031363768144 backwards is 441867363130831
• The number of decimal digits it has is: 15
• The sum of 138031363768144's digits is 58
• More coming soon!