138097257984

Names of 138097257984

• Cardinal: 138097257984 can be written as One hundred thirty-eight billion, ninety-seven million, two hundred fifty-seven thousand, nine hundred eighty-four.

Scientific notation

• Scientific notation: 1.38097257984 × 10¹¹

Factors of 138097257984

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 252

Divisors of 138097257984

• Number of divisors d(n): 960
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 19 21 23 24 28 32 36 38 42 46 48 56 57 63 64 69 72 76 84 92 96 97 101 112 114 126 128 133 138 144 152 161 168 171 184 192 194 202 207 224 228 252 256 266 276 288 291 303 304 322 336 342 368 384 388 399 404 414 437 448 456 483 504 512 532 552 576 582 606 608 644 672 679 684 707 736 768 776 798 808 828 873 874 896 909 912 966 1008 1064 1104 1152 1164 1197 1212 1216 1288 1311 1344 1358 1368 1414 1449 1472 1536 1552 1596 1616 1656 1746 1748 1792 1818 1824 1843 1919 1932 2016 2037 2121 2128 2208 2231 2304 2323 2328 2394 2424 2432 2576 2622 2688 2716 2736 2828 2898 2944 3059 3104 3192 3232 3312 3492 3496 3584 3636 3648 3686 3838 3864 3933 4032 4074 4242 4256 4416 4462 4608 4646 4656 4788 4848 4864 5152 5244 5376 5432 5472 5529 5656 5757 5796 5888 6111 6118 6208 6363 6384 6464 6624 6693 6969 6984 6992 7272 7296 7372 7676 7728 7866 8064 8148 8484 8512 8832 8924 9177 9292 9312 9576 9696 9728 9797 10304 10488 10752 10864 10944 11058 11312 11514 11592 11776 12222 12236 12416 12726 12768 12901 12928 13248 13386 13433 13938 13968 13984 14544 14592 14744 15352 15456 15617 15732 16128 16261 16296 16587 16968 17024 17271 17664 17848 18354 18584 18624 19152 19392 19594 20079 20608 20907 20976 21728 21888 22116 22624 23028 23184 24444 24472 24832 25452 25536 25802 25856 26496 26772 26866 27531 27876 27936 27968 29088 29184 29391 29488 30704 30912 31234 31464 32256 32522 32592 33174 33936 34048 34542 35328 35696 36708 37168 37248 38304 38703 38784 39188 40158 40299 41216 41814 41952 42389 43456 43776 44137 44232 45248 46056 46368 46851 48783 48888 48944 49664 50904 51072 51604 51712 52992 53544 53732 55062 55752 55872 55936 58176 58782 58976 61408 61824 62468 62928 65044 65184 66348 67872 68096 68579 69084 71392 73416 74336 74496 76608 77406 77568 78376 80316 80598 82432 83628 83904 84778 86912 87552 88173 88274 88464 90496 92112 92736 93702 97566 97776 97888 101808 102144 103208 105984 107088 107464 110124 111504 111744 111872 116109 116352 117564 117952 120897 122816 123648 124936 125856 127167 130088 130368 132411 132696 135744 137158 138168 140553 142784 146349 146832 148672 148992 153216 154812 155136 156752 160632 161196 167256 167808 169556 173824 176346 176548 176928 180992 184224 185472 186143 187404 195132 195552 195776 203616 204288 205737 206416 214176 214928 220248 223008 223488 223744 225331 232218 232704 235128 235904 241794 245632 247296 249872 251712 254334 260176 260736 264822 265392 271488 274316 276336 281106 285568 292698 293664 296723 297344 306432 308959 309624 313504 321264 322392 334512 335616 339112 347648 352692 353096 353856 361984 368448 370944 372286 374808 381501 390264 391104 391552 397233 407232 411474 412832 428352 429856 440496 446016 446976 450662 464436 465408 470256 471808 483588 491264 499744 503424 508668 520352 521472 529644 530784 542976 548632 552672 558429 562212 571136 585396 587328 593446 594688 612864 617211 617918 619248 627008 642528 644784 669024 671232 675993 678224 705384 706192 707712 736896 741888 744572 749616 763002 780528 782208 783104 794466 814464 822948 825664 856704 859712 880992 890169 892032 901324 926877 928872 940512 943616 967176 982528 999488 1006848 1017336 1040704 1042944 1059288 1061568 1085952 1097264 1105344 1116858 1124424 1142272 1170792 1174656 1186892 1189376 1234422 1235836 1238496 1254016 1285056 1289568 1303001 1338048 1351986 1356448 1410768 1412384 1415424 1473792 1489144 1499232 1526004 1561056 1564416 1566208 1577317 1588932 1628928 1645896 1651328 1675287 1713408 1719424 1761984 1780338 1784064 1802648 1853754 1857744 1881024 1934352 1998976 2013696 2027979 2034672 2081408 2118576 2123136 2194528 2210688 2233716 2248848 2341584 2349312 2373784 2468844 2471672 2476992 2508032 2570112 2579136 2606002 2670507 2676096 2703972 2712896 2780631 2821536 2824768 2830848 2947584 2978288 2998464 3052008 3122112 3128832 3154634 3177864 3257856 3291792 3302656 3350574 3426816 3438848 3523968 3560676 3568128 3605296 3707508 3715488 3762048 3868704 3909003 3997952 4055958 4069344 4162816 4237152 4246272 4281289 4389056 4421376 4467432 4497696 4683168 4698624 4731951 4747568 4937688 4943344 4953984 5016064 5140224 5158272 5212004 5341014 5352192 5407944 5425792 5561262 5643072 5649536 5956576 5996928 6104016 6244224 6309268 6355728 6583584 6605312 6701148 6877696 7047936 7121352 7210592 7415016 7430976 7524096 7737408 7818006 7995904 8111916 8138688 8325632 8474304 8492544 8562578 8778112 8842752 8934864 8995392 9366336 9463902 9495136 9875376 9886688 9907968 10280448 10316544 10424008 10682028 10704384 10815888 10851584 11122524 11286144 11299072 11727009 11913152 11993856 12208032 12488448 12618536 12711456 12843867 13167168 13402296 14095872 14195853 14242704 14421184 14830032 14861952 15048192 15474816 15636012 16223832 16277376 16948608 17125156 17556224 17869728 17990784 18732672 18927804 18990272 19750752 19773376 19815936 20633088 20848016 21364056 21631776 21703168 22245048 22572288 22598144 23454018 23826304 23987712 24416064 24976896 25237072 25422912 25687734 26334336 26804592 28391706 28485408 28842368 29660064 29723904 29969023 30949632 31272024 32447664 32554752 33897216 34250312 35112448 35739456 35981568 37465344 37855608 37980544 38531601 39501504 39546752 41696032 42728112 43263552 44490096 45144576 46908036 47652608 48832128 50474144 50845824 51375468 52668672 53609184 56783412 56970816 57684736 59320128 59447808 59938046 61899264 62544048 64895328 65109504 67794432 68500624 71478912 71963136 74930688 75711216 75961088 77063202 79003008 79093504 83392064 85456224 86527104 88980192 89907069 93816072 95305216 97664256 100948288 101691648 102750936 105337344 107218368 113566824 113941632 115369472 118640256 119876092 125088096 129790656 137001248 142957824 151422432 151922176 154126404 158006016 158187008 166784128 170912448 173054208 177960384 179814138 187632144 195328512 201896576 203383296 205501872 214436736 227133648 227883264 237280512 239752184 250176192 259581312 269721207 274002496 285915648 302844864 308252808 316012032 333568256 341824896 346108416 355920768 359628276 375264288 403793152 411003744 428873472 454267296 455766528 474561024 479504368 500352384 519162624 539442414 548004992 605689728 616505616 667136512 683649792 711841536 719256552 750528576 807586304 822007488 857746944 908534592 959008736 1000704768 1038325248 1078884828 1096009984 1211379456 1233011232 1367299584 1423683072 1438513104 1501057152 1644014976 1817069184 1918017472 2001409536 2157769656 2192019968 2422758912 2466022464 2877026208 3002114304 3288029952 3634138368 3836034944 4315539312 4932044928 5754052416 6004228608 6576059904 7268276736 7672069888 8631078624 9864089856 11508104832 15344139776 17262157248 19728179712 23016209664 34524314496 46032419328 69048628992 138097257984
• Sum of all divisors σ(n): 510477327360
• Sum of proper divisors (its aliquot sum) s(n): 372380069376
• 138097257984 is an abundant number, because the sum of its proper divisors (372380069376) is greater than itself. Its abundance is 234282811392

Bases of 138097257984

• Binary: 10000000100111001111001110111000000000₂
• Hexadecimal: 0x20273CEE00
• Base-36: 1RFVJI80

Squares and roots of 138097257984

• 138097257984 squared (138097257984²) is 19070852662699451744256
• 138097257984 cubed (138097257984³) is 2633632460135659521381879622139904
• The square root of 138097257984 is 371614.3942099121
• The cube root of 138097257984 is 5168.8629652225

Scales and comparisons

• 138,097,257,984 seconds is equal to 4,391 years, 3 weeks, 2 days, 21 hours, 26 minutes, 24 seconds.
• To count from 1 to 138,097,257,984 would take you about eight thousand, seven hundred eighty-two 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 138097257984 cubic inches would be around 430.7 feet tall.

Recreational maths with 138097257984

• 138097257984 backwards is 489752790831
• 138097257984 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138097257984's digits is 63
• More coming soon!