138012401664

Names of 138012401664

• Cardinal: 138012401664 can be written as One hundred thirty-eight billion, twelve million, four hundred one thousand, six hundred sixty-four.

Scientific notation

• Scientific notation: 1.38012401664 × 10¹¹

Factors of 138012401664

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 211

Divisors of 138012401664

• Number of divisors d(n): 336
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 67 72 96 108 128 134 139 144 192 201 216 256 268 278 288 384 402 417 432 512 536 556 576 603 768 804 834 864 1024 1072 1112 1152 1206 1251 1536 1608 1668 1728 1809 2048 2144 2224 2304 2412 2502 3072 3216 3336 3456 3618 3753 4096 4288 4448 4489 4608 4824 5004 6144 6432 6672 6912 7236 7506 8192 8576 8896 8978 9216 9313 9648 10008 12288 12864 13344 13467 13824 14472 15012 17152 17792 17956 18432 18626 19296 20016 24576 25728 26688 26934 27648 27939 28944 30024 34304 35584 35912 36864 37252 38592 40032 40401 51456 53376 53868 55296 55878 57888 60048 68608 71168 71824 73728 74504 77184 80064 80802 83817 102912 106752 107736 110592 111756 115776 120096 121203 137216 142336 143648 149008 154368 160128 161604 167634 205824 213504 215472 221184 223512 231552 240192 242406 251451 274432 284672 287296 298016 308736 320256 323208 335268 411648 427008 430944 447024 463104 480384 484812 502902 548864 569344 574592 596032 617472 623971 640512 646416 670536 823296 854016 861888 894048 926208 960768 969624 1005804 1138688 1149184 1192064 1234944 1247942 1281024 1292832 1341072 1646592 1708032 1723776 1788096 1852416 1871913 1921536 1939248 2011608 2298368 2384128 2469888 2495884 2562048 2585664 2682144 3416064 3447552 3576192 3704832 3743826 3843072 3878496 4023216 4596736 4768256 4939776 4991768 5124096 5171328 5364288 5615739 6895104 7152384 7409664 7487652 7686144 7756992 8046432 9193472 9536512 9983536 10248192 10342656 10728576 11231478 13790208 14304768 14819328 14975304 15372288 15513984 16092864 16847217 18386944 19073024 19967072 20685312 21457152 22462956 27580416 28609536 29950608 30744576 31027968 32185728 33694434 36773888 38146048 39934144 41370624 42914304 44925912 55160832 57219072 59901216 62055936 64371456 67388868 76292096 79868288 82741248 85828608 89851824 110321664 114438144 119802432 124111872 128742912 134777736 159736576 165482496 171657216 179703648 228876288 239604864 248223744 257485824 269555472 319473152 330964992 343314432 359407296 479209728 496447488 514971648 539110944 638946304 686628864 718814592 958419456 992894976 1029943296 1078221888 1277892608 1437629184 1916838912 2059886592 2156443776 2555785216 2875258368 3833677824 4312887552 5111570432 5750516736 7667355648 8625775104 11501033472 15334711296 17251550208 23002066944 34503100416 46004133888 69006200832 138012401664
• Sum of all divisors σ(n): 418081053600
• Sum of proper divisors (its aliquot sum) s(n): 280068651936
• 138012401664 is an abundant number, because the sum of its proper divisors (280068651936) is greater than itself. Its abundance is 142056250272

Bases of 138012401664

• Binary: 10000000100010001011100010000000000000₂
• Hexadecimal: 0x20222E2000
• Base-36: 1REH0QO0

Squares and roots of 138012401664

• 138012401664 squared (138012401664²) is 19047423013065269968896
• 138012401664 cubed (138012401664³) is 2628780595543281158795871538642944
• The square root of 138012401664 is 371500.2041237663
• The cube root of 138012401664 is 5167.8040483301

Scales and comparisons

• 138,012,401,664 seconds is equal to 4,388 years, 19 weeks, 18 hours, 14 minutes, 24 seconds.
• To count from 1 to 138,012,401,664 would take you about eight thousand, seven hundred seventy-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 138012401664 cubic inches would be around 430.7 feet tall.

Recreational maths with 138012401664

• 138012401664 backwards is 466104210831
• 138012401664 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138012401664's digits is 36
• More coming soon!