138988118409696

Names of 138988118409696

• Cardinal: 138988118409696 can be written as One hundred thirty-eight trillion, nine hundred eighty-eight billion, one hundred eighteen million, four hundred nine thousand, six hundred ninety-six.

Scientific notation

• Scientific notation: 1.38988118409696 × 10¹⁴

Factors of 138988118409696

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 647

Divisors of 138988118409696

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 151 162 216 243 288 302 324 432 453 486 491 604 648 864 906 972 982 1208 1296 1359 1473 1812 1944 1964 2416 2592 2718 2946 3624 3888 3928 4077 4419 4832 5436 5892 7248 7776 7856 8154 8838 10872 11784 12231 13257 14496 15712 16308 17676 21744 23568 24462 26514 32616 35352 36693 39771 43488 47136 48924 53028 65232 70704 73386 74141 79542 97848 106056 119313 130464 141408 146772 148282 159084 195696 212112 222423 238626 241081 293544 296564 318168 391392 424224 444846 477252 482162 587088 593128 636336 667269 723243 889692 954504 964324 1174176 1186256 1272672 1334538 1446486 1779384 1909008 1928648 2001807 2169729 2372512 2669076 2892972 3558768 3818016 3857296 4003614 4339458 5338152 5785944 6005421 6509187 7117536 7714592 8007228 8678916 10676304 11571888 12010842 13018374 16014456 17357832 18016263 19527561 21352608 23143776 24021684 26036748 32028912 34715664 36032526 36403231 39055122 48043368 52073496 58582683 64057824 69431328 72065052 72806462 78110244 96086736 104146992 109209693 117165366 118370771 144130104 145612924 156220488 192173472 208293984 218419386 234330732 236741542 288260208 291225848 312440976 327629079 355112313 436838772 468661464 473483084 576520416 582451696 624881952 655258158 710224626 873677544 937322928 946966168 982887237 1065336939 1164903392 1310516316 1420449252 1747355088 1874645856 1893932336 1965774474 2130673878 2621032632 2840898504 2948661711 3196010817 3494710176 3787864672 3931548948 4261347756 5242065264 5681797008 5897323422 6392021634 7863097896 8522695512 8845985133 9588032451 10484130528 11363594016 11794646844 12784043268 15726195792 17045391024 17691970266 17873986421 19176064902 23589293688 25568086536 28764097353 31452391584 34090782048 35383940532 35747972842 38352129804 47178587376 51136173072 53621959263 57528194706 70767881064 71495945684 76704259608 94357174752 102272346144 107243918526 115056389412 141535762128 142991891368 153408519216 160865877789 214487837052 230112778824 283071524256 285983782736 306817038432 321731755578 428975674104 460225557648 482597633367 571967565472 643463511156 857951348208 920451115296 965195266734 1286927022312 1447792900101 1715902696416 1930390533468 2573854044624 2895585800202 3860781066936 4343378700303 5147708089248 5791171600404 7721562133872 8686757400606 11582343200808 15443124267744 17373514801212 23164686401616 34747029602424 46329372803232 69494059204848 138988118409696
• Sum of all divisors σ(n): 413442777436416
• Sum of proper divisors (its aliquot sum) s(n): 274454659026720
• 138988118409696 is an abundant number, because the sum of its proper divisors (274454659026720) is greater than itself. Its abundance is 135466540617024

Bases of 138988118409696

• Binary: 11111100110100010110001011011010000000111100000₂
• Hexadecimal: 0x7E68B16D01E0
• Base-36: 1D9M9D4U00

Squares and roots of 138988118409696

• 138988118409696 squared (138988118409696²) is 19317697059067676152106812416
• 138988118409696 cubed (138988118409696³) is 2684930366248334357326598241492425707585536
• The square root of 138988118409696 is 11789322.2201149459
• The cube root of 138988118409696 is 51799.5386642793

Scales and comparisons

• 138,988,118,409,696 seconds is equal to 4,419,392 years, 12 weeks, 5 days, 21 hours, 21 minutes, 36 seconds.
• To count from 1 to 138,988,118,409,696 would take you about eleven million, forty-eight thousand, four hundred eighty 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 138988118409696 cubic inches would be around 4316.6 feet tall.

Recreational maths with 138988118409696

• 138988118409696 backwards is 696904811889831
• 138988118409696 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 138988118409696's digits is 81
• More coming soon!