137586738816

Names of 137586738816

• Cardinal: 137586738816 can be written as One hundred thirty-seven billion, five hundred eighty-six million, seven hundred thirty-eight thousand, eight hundred sixteen.

Scientific notation

• Scientific notation: 1.37586738816 × 10¹¹

Factors of 137586738816

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 176

Divisors of 137586738816

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 59 64 72 83 87 96 116 118 128 144 166 174 177 192 232 236 249 261 288 332 348 354 384 464 472 498 522 531 576 664 696 708 747 841 928 944 996 1044 1062 1152 1328 1392 1416 1494 1682 1711 1856 1888 1992 2088 2124 2407 2523 2656 2784 2832 2988 3364 3422 3712 3776 3984 4176 4248 4814 4897 5046 5133 5312 5568 5664 5976 6728 6844 7221 7552 7569 7968 8352 8496 9628 9794 10092 10266 10624 11136 11328 11952 13456 13688 14442 14691 15138 15399 15936 16704 16992 19256 19588 20184 20532 21663 22656 23904 24389 26912 27376 28884 29382 30276 30798 31872 33408 33984 38512 39176 40368 41064 43326 44073 47808 48778 49619 53824 54752 57768 58764 60552 61596 67968 69803 73167 77024 78352 80736 82128 86652 88146 95616 97556 99238 107648 109504 115536 117528 121104 123192 139606 142013 146334 148857 154048 156704 161472 164256 173304 176292 195112 198476 209409 219008 219501 231072 235056 242208 246384 279212 284026 292668 297714 308096 313408 322944 328512 346608 352584 390224 396952 418818 426039 439002 446571 462144 470112 484416 492768 558424 568052 585336 595428 626816 628227 657024 693216 705168 780448 793904 837636 852078 878004 893142 924288 940224 968832 985536 1116848 1136104 1170672 1190856 1256454 1278117 1386432 1410336 1438951 1560896 1587808 1675272 1704156 1756008 1786284 1880448 1971072 2024287 2233696 2272208 2341344 2381712 2512908 2556234 2772864 2820672 2877902 3121792 3175616 3350544 3408312 3512016 3572568 4048574 4118377 4316853 4467392 4544416 4682688 4763424 5025816 5112468 5641344 5755804 6072861 6351232 6701088 6816624 7024032 7145136 8097148 8236754 8633706 8934784 9088832 9365376 9526848 10051632 10224936 11511608 12145722 12355131 12950559 13402176 13633248 14048064 14290272 16194296 16473508 17267412 18177664 18218583 19053696 20103264 20449872 23023216 24291444 24710262 25901118 26804352 27266496 28096128 28580544 32388592 32947016 34534824 36437166 37065393 40206528 40899744 46046432 48582888 49420524 51802236 54532992 57161088 64777184 65894032 69069648 72874332 74130786 80413056 81799488 92092864 97165776 98841048 103604472 119432933 129554368 131788064 138139296 145748664 148261572 163598976 184185728 194331552 197682096 207208944 238865866 259108736 263576128 276278592 291497328 296523144 358298799 388663104 395364192 414417888 477731732 527152256 552557184 582994656 593046288 716597598 777326208 790728384 828835776 955463464 1074896397 1165989312 1186092576 1433195196 1581456768 1657671552 1910926928 2149792794 2331978624 2372185152 2866390392 3821853856 4299585588 4744370304 5732780784 7643707712 8599171176 11465561568 15287415424 17198342352 22931123136 34396684704 45862246272 68793369408 137586738816
• Sum of all divisors σ(n): 422033976000
• Sum of proper divisors (its aliquot sum) s(n): 284447237184
• 137586738816 is an abundant number, because the sum of its proper divisors (284447237184) is greater than itself. Its abundance is 146860498368

Bases of 137586738816

• Binary: 10000000001000110011110000011010000000₂
• Hexadecimal: 0x2008CF0680
• Base-36: 1R7FLB40

Squares and roots of 137586738816

• 137586738816 squared (137586738816²) is 18930110698022201081856
• 137586738816 cubed (137586738816³) is 2604532196366748028018754108522496
• The square root of 137586738816 is 370926.8645110515
• The cube root of 137586738816 is 5162.4856673879

Scales and comparisons

• 137,586,738,816 seconds is equal to 4,374 years, 43 weeks, 2 days, 2 hours, 33 minutes, 36 seconds.
• To count from 1 to 137,586,738,816 would take you about eight thousand, seven hundred forty-nine 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 137586738816 cubic inches would be around 430.2 feet tall.

Recreational maths with 137586738816

• 137586738816 backwards is 618837685731
• The number of decimal digits it has is: 12
• The sum of 137586738816's digits is 63
• More coming soon!