138613187328

Names of 138613187328

• Cardinal: 138613187328 can be written as One hundred thirty-eight billion, six hundred thirteen million, one hundred eighty-seven thousand, three hundred twenty-eight.

Scientific notation

• Scientific notation: 1.38613187328 × 10¹¹

Factors of 138613187328

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 236

Divisors of 138613187328

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 3 4 6 7 8 11 12 14 16 19 21 22 24 28 32 33 38 42 43 44 48 56 57 64 66 76 77 84 86 88 96 112 114 128 129 132 133 151 152 154 168 172 176 192 209 224 228 231 256 258 264 266 301 302 304 308 336 344 352 361 384 399 418 448 453 456 462 473 516 528 532 602 604 608 616 627 672 688 704 722 768 798 817 836 896 903 906 912 924 946 1032 1056 1057 1064 1083 1204 1208 1216 1232 1254 1344 1376 1408 1419 1444 1463 1596 1634 1661 1672 1792 1806 1812 1824 1848 1892 2064 2112 2114 2128 2166 2408 2416 2432 2451 2464 2508 2527 2688 2752 2816 2838 2869 2888 2926 3171 3192 3268 3311 3322 3344 3612 3624 3648 3696 3784 3971 4128 4224 4228 4256 4332 4389 4816 4832 4864 4902 4928 4983 5016 5054 5376 5504 5676 5719 5738 5776 5852 6342 6384 6493 6536 6622 6644 6688 7224 7248 7296 7392 7568 7581 7942 8256 8448 8456 8512 8607 8664 8778 8987 9632 9664 9804 9856 9933 9966 10032 10108 11008 11352 11438 11476 11552 11627 11704 11913 12684 12768 12986 13072 13244 13288 13376 14448 14496 14592 14784 15136 15162 15523 15884 16512 16912 17024 17157 17214 17328 17556 17974 19264 19328 19479 19608 19712 19866 19932 20064 20083 20216 22704 22876 22952 23104 23254 23408 23826 25368 25536 25972 26144 26488 26576 26752 26961 27797 28896 28992 29568 30272 30324 31046 31559 31768 33024 33824 34048 34314 34428 34656 34881 35112 35948 38528 38656 38958 39216 39732 39864 40128 40166 40432 45408 45451 45752 45904 46208 46508 46569 46816 47652 50736 51072 51944 52288 52976 53152 53504 53922 54511 55594 57792 57984 59136 60249 60544 60648 62092 62909 63118 63536 67648 68628 68856 69312 69762 70224 71423 71896 77056 77916 78432 79464 79728 80256 80332 80864 83391 90816 90902 91504 91808 92416 93016 93138 93632 94677 95304 101472 102144 103888 104576 105952 106304 107844 108661 109022 111188 115584 115968 120498 121088 121296 123367 124184 125818 126236 127072 135296 136353 137256 137712 138624 139524 140448 142846 143792 155832 156864 158928 159456 160512 160664 161728 163533 166782 170753 181632 181804 183008 183616 186032 186276 187264 188727 189354 190608 202944 207776 209152 211904 212608 214269 215688 217322 218044 220913 222376 231168 240996 242592 246734 248368 251636 252472 254144 270592 272706 274512 275424 277248 279048 280896 285692 287584 311664 313728 317856 318912 321328 323456 325983 327066 333564 341506 363264 363608 366016 367232 370101 372064 372552 374528 377454 378708 381216 381577 405888 415552 423808 425216 428538 431376 434644 436088 441826 444752 481992 485184 493468 496736 499961 503272 504944 508288 512259 545412 549024 550848 558096 561792 571384 575168 599621 623328 627456 635712 637824 642656 646912 651966 654132 662739 667128 683012 727216 732032 734464 740202 744128 745104 754908 757416 762432 763154 811776 831104 847616 857076 862752 863569 869288 872176 883652 889504 963984 970368 986936 993472 999922 1006544 1009888 1016576 1024518 1090824 1098048 1101696 1116192 1123584 1142768 1144731 1150336 1195271 1199242 1246656 1271424 1275648 1285312 1303932 1308264 1325478 1334256 1357037 1366024 1454432 1464064 1480404 1488256 1490208 1499883 1509816 1514832 1524864 1526308 1662208 1714152 1725504 1727138 1738576 1744352 1767304 1779008 1798863 1927968 1940736 1973872 1986944 1999844 2013088 2019776 2049036 2181648 2196096 2203392 2232384 2285536 2289462 2300672 2343973 2390542 2398484 2493312 2542848 2570624 2590707 2607864 2616528 2650956 2668512 2714074 2732048 2908864 2960808 2976512 2980416 2999766 3019632 3029664 3049728 3052616 3428304 3451008 3454276 3477152 3488704 3534608 3558016 3585813 3597726 3855936 3947744 3973888 3999688 4026176 4039552 4071111 4098072 4197347 4363296 4392192 4464768 4571072 4578924 4687946 4781084 4796968 4986624 5141248 5181414 5215728 5233056 5301912 5337024 5428148 5464096 5817728 5921616 5960832 5999532 6039264 6059328 6105232 6856608 6902016 6908552 6954304 6977408 7031919 7069216 7116032 7171626 7195452 7711872 7895488 7999376 8052352 8079104 8142222 8196144 8394694 8726592 8929536 9142144 9157848 9375892 9499259 9562168 9593936 10362828 10431456 10466112 10603824 10674048 10856296 10928192 11635456 11843232 11921664 11999064 12078528 12118656 12210464 12592041 13713216 13817104 13908608 13954816 14063838 14138432 14343252 14390904 15423744 15790976 15998752 16104704 16284444 16392288 16407811 16789388 17453184 18284288 18315696 18751784 18998518 19124336 19187872 20725656 20862912 20932224 21207648 21348096 21712592 21856384 23686464 23998128 24157056 24237312 24420928 25184082 25783703 27426432 27634208 27817216 28127676 28276864 28497777 28686504 28781808 31581952 31997504 32568888 32784576 32815622 33578776 34906368 36631392 37503568 37997036 38248672 38375744 41451312 41725824 41864448 42415296 43425184 43712768 47372928 47996256 48314112 48841856 49223433 50368164 51567406 54852864 55268416 56255352 56553728 56995554 57373008 57563616 63995008 65137776 65569152 65631244 67157552 73262784 75007136 75994072 76497344 76751488 77351109 82902624 83451648 84830592 86850368 94745856 95992512 97683712 98446866 100736328 103134812 110536832 112510704 113991108 114746016 115127232 127990016 130275552 131138304 131262488 134315104 146525568 150014272 151988144 152994688 153502976 154702218 165805248 169661184 173700736 180485921 191985024 196893732 201472656 206269624 221073664 225021408 227982216 229492032 230254464 260551104 262524976 268630208 293051136 300028544 303976288 305989376 309404436 331610496 347401472 360971842 383970048 393787464 402945312 412539248 450042816 455964432 458984064 460508928 521102208 525049952 537260416 541457763 600057088 607952576 618808872 663220992 721943684 787574928 805890624 825078496 900085632 911928864 917968128 1042204416 1050099904 1074520832 1082915526 1215905152 1237617744 1443887368 1575149856 1611781248 1650156992 1800171264 1823857728 2100199808 2165831052 2431810304 2475235488 2887774736 3150299712 3223562496 3300313984 3647715456 4200399616 4331662104 4950470976 5775549472 6300599424 6600627968 7295430912 8663324208 9900941952 11551098944 12601198848 17326648416 19801883904 23102197888 34653296832 46204395776 69306593664 138613187328
• Sum of all divisors σ(n): 500003868672
• Sum of proper divisors (its aliquot sum) s(n): 361390681344
• 138613187328 is an abundant number, because the sum of its proper divisors (361390681344) is greater than itself. Its abundance is 222777494016

Bases of 138613187328

• Binary: 10000001000101111111010110001100000000₂
• Hexadecimal: 0x2045FD6300
• Base-36: 1ROEPNUO

Squares and roots of 138613187328

• 138613187328 squared (138613187328²) is 19213615701227219779584
• 138613187328 cubed (138613187328³) is 2663260512442410694800103861911552
• The square root of 138613187328 is 372307.9200446855
• The cube root of 138613187328 is 5175.2918979695

Scales and comparisons

• 138,613,187,328 seconds is equal to 4,407 years, 24 weeks, 3 days, 7 hours, 8 minutes, 48 seconds.
• To count from 1 to 138,613,187,328 would take you about eight thousand, eight hundred fourteen 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 138613187328 cubic inches would be around 431.3 feet tall.

Recreational maths with 138613187328

• 138613187328 backwards is 823781316831
• The number of decimal digits it has is: 12
• The sum of 138613187328's digits is 51
• More coming soon!