138553964322048

Names of 138553964322048

• Cardinal: 138553964322048 can be written as One hundred thirty-eight trillion, five hundred fifty-three billion, nine hundred sixty-four million, three hundred twenty-two thousand and forty-eight.

Scientific notation

• Scientific notation: 1.38553964322048 × 10¹⁴

Factors of 138553964322048

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 28
• Sum of prime factors: 143

Divisors of 138553964322048

• Number of divisors d(n): 684
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 81 88 96 99 108 127 128 132 144 162 176 192 198 216 243 254 256 264 288 297 324 352 381 384 396 432 486 508 528 576 594 648 704 729 762 768 792 864 891 972 1016 1056 1143 1152 1188 1296 1397 1408 1458 1524 1584 1728 1782 1944 2032 2112 2187 2286 2304 2376 2592 2673 2794 2816 2916 3048 3168 3429 3456 3564 3888 4064 4191 4224 4374 4572 4752 5184 5346 5588 5832 6096 6336 6561 6858 6912 7128 7776 8019 8128 8382 8448 8748 9144 9504 10287 10368 10692 11176 11664 12192 12573 12672 13122 13716 14256 15552 16038 16256 16764 17496 18288 19008 19683 20574 20736 21384 22352 23328 24057 24384 25146 25344 26244 27432 28512 30861 31104 32076 32512 33528 34992 36576 37719 38016 39366 41148 42768 44704 46656 48114 48768 50292 52488 54864 57024 59049 61722 62208 64152 67056 69984 72171 73152 75438 76032 78732 82296 85536 89408 92583 93312 96228 97536 100584 104976 109728 113157 114048 118098 123444 128304 134112 139968 144342 146304 150876 157464 164592 171072 177147 178816 185166 186624 192456 201168 209952 216513 219456 226314 228096 236196 246888 256608 268224 277749 279936 288684 292608 301752 314928 329184 339471 342144 354294 357632 370332 384912 402336 419904 433026 438912 452628 472392 493776 513216 531441 536448 555498 559872 577368 603504 629856 649539 658368 678942 684288 708588 740664 769824 804672 833247 839808 866052 877824 905256 944784 987552 1018413 1026432 1062882 1072896 1110996 1154736 1207008 1259712 1299078 1316736 1357884 1417176 1481328 1539648 1594323 1609344 1666494 1679616 1732104 1810512 1889568 1948617 1975104 2036826 2052864 2125764 2221992 2309472 2414016 2499741 2519424 2598156 2633472 2715768 2834352 2962656 3055239 3079296 3188646 3218688 3332988 3464208 3621024 3779136 3897234 3950208 4073652 4251528 4443984 4618944 4782969 4828032 4999482 5038848 5196312 5431536 5668704 5845851 5925312 6110478 6158592 6377292 6665976 6928416 7242048 7499223 7558272 7794468 7900416 8147304 8503056 8887968 9165717 9237888 9565938 9656064 9998964 10392624 10863072 11337408 11691702 11850624 12220956 12754584 13331952 13856832 14348907 14484096 14998446 15116544 15588936 16294608 17006112 17537553 17775936 18331434 18475776 19131876 19997928 20785248 21726144 22497669 22674816 23383404 23701248 24441912 25509168 26663904 27497151 27713664 28697814 28968192 29996892 31177872 32589216 34012224 35075106 35551872 36662868 38263752 39995856 41570496 43046721 43452288 44995338 45349632 46766808 48883824 51018336 52612659 53327808 54994302 55427328 57395628 59993784 62355744 65178432 67493007 68024448 70150212 71103744 73325736 76527504 79991712 82491453 83140992 86093442 86904576 89990676 93533616 97767648 102036672 105225318 106655616 109988604 114791256 119987568 124711488 129140163 130356864 134986014 136048896 140300424 146651472 153055008 157837977 159983424 164982906 166281984 172186884 179981352 187067232 195535296 202479021 204073344 210450636 213311232 219977208 229582512 239975136 247474359 249422976 258280326 260713728 269972028 280600848 293302944 306110016 315675954 319966848 329965812 344373768 359962704 374134464 387420489 391070592 404958042 408146688 420901272 439954416 459165024 473513931 479950272 494948718 498845952 516560652 539944056 561201696 586605888 607437063 612220032 631351908 639933696 659931624 688747536 719925408 742423077 748268928 774840978 782141184 809916084 841802544 879908832 918330048 947027862 959900544 989897436 1033121304 1079888112 1122403392 1173211776 1214874126 1224440064 1262703816 1319863248 1377495072 1420541793 1439850816 1484846154 1496537856 1549681956 1619832168 1683605088 1759817664 1822311189 1836660096 1894055724 1919801088 1979794872 2066242608 2159776224 2227269231 2244806784 2346423552 2429748252 2525407632 2639726496 2754990144 2841083586 2879701632 2969692308 3099363912 3239664336 3367210176 3519635328 3644622378 3673320192 3788111448 3959589744 4132485216 4261625379 4319552448 4454538462 4489613568 4859496504 5050815264 5279452992 5466933567 5509980288 5682167172 5759403264 5939384616 6198727824 6479328672 6681807693 6734420352 7039270656 7289244756 7576222896 7919179488 8264970432 8523250758 8639104896 8909076924 9718993008 10101630528 10558905984 10933867134 11019960576 11364334344 11878769232 12397455648 12958657344 13363615386 13468840704 14578489512 15152445792 15838358976 16400800701 16529940864 17046501516 17278209792 17818153848 19437986016 20045423079 20203261056 21117811968 21867734268 22728668688 23757538464 24794911296 25917314688 26727230772 29156979024 30304891584 31676717952 32801601402 33059881728 34093003032 35636307696 38875972032 40090846158 40406522112 43735468536 45457337376 47515076928 49202402103 49589822592 51834629376 53454461544 58313958048 60136269237 60609783168 63353435904 65603202804 68186006064 71272615392 77751944064 80181692316 87470937072 90914674752 95030153856 98404804206 99179645184 106908923088 116627916096 120272538474 121219566336 131206405608 136372012128 142545230784 155503888128 160363384632 174941874144 180408807711 181829349504 190060307712 196809608412 213817846176 233255832192 240545076948 262412811216 272744024256 285090461568 320726769264 349883748288 360817615422 363658699008 393619216824 427635692352 466511664384 481090153896 524825622432 541226423133 545488048512 570180923136 641453538528 699767496576 721635230844 787238433648 855271384704 962180307792 1049651244864 1082452846266 1090976097024 1282907077056 1399534993152 1443270461688 1574476867296 1710542769408 1924360615584 2099302489728 2164905692532 2565814154112 2886540923376 3148953734592 3848721231168 4198604979456 4329811385064 5131628308224 5773081846752 6297907469184 7697442462336 8659622770128 11546163693504 12595814938368 15394884924672 17319245540256 23092327387008 34638491080512 46184654774016 69276982161024 138553964322048
• Sum of all divisors σ(n): 456127187808768
• Sum of proper divisors (its aliquot sum) s(n): 317573223486720
• 138553964322048 is an abundant number, because the sum of its proper divisors (317573223486720) is greater than itself. Its abundance is 179019259164672

Bases of 138553964322048

• Binary: 11111100000001110011011110100110101110100000000₂
• Hexadecimal: 0x7E039BD35D00
• Base-36: 1D42T90000

Squares and roots of 138553964322048

• 138553964322048 squared (138553964322048²) is 19197201029355350100258914304
• 138553964322048 cubed (138553964322048³) is 2659848306504484318100501792243683889774592
• The square root of 138553964322048 is 11770894.7970002687
• The cube root of 138553964322048 is 51745.5473866133

Scales and comparisons

• 138,553,964,322,048 seconds is equal to 4,405,587 years, 25 weeks, 3 days, 7 hours, 40 minutes, 48 seconds.
• To count from 1 to 138,553,964,322,048 would take you about eleven million, thirteen thousand, nine hundred sixty-eight 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 138553964322048 cubic inches would be around 4312.1 feet tall.

Recreational maths with 138553964322048

• 138553964322048 backwards is 840223469355831
• The number of decimal digits it has is: 15
• The sum of 138553964322048's digits is 63
• More coming soon!