34120131690624

Names of 34120131690624

• Cardinal: 34120131690624 can be written as Thirty-four trillion, one hundred twenty billion, one hundred thirty-one million, six hundred ninety thousand, six hundred twenty-four.

Scientific notation

• Scientific notation: 3.4120131690624 × 10¹³

Factors of 34120131690624

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 392

Divisors of 34120131690624

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 151 168 192 196 224 229 294 302 336 384 392 448 453 458 588 604 672 687 784 896 906 916 1057 1176 1208 1344 1374 1568 1603 1812 1832 2114 2352 2416 2688 2748 3136 3171 3206 3624 3664 4228 4704 4809 4832 5496 6272 6342 6412 7248 7328 7399 8456 9408 9618 9664 10992 11221 12684 12824 14496 14656 14798 16912 18816 19236 19328 21984 22197 22442 25368 25648 28992 29312 29596 33663 33824 34579 38472 43968 44394 44884 50736 51296 52441 57984 59192 67326 67648 69158 76944 87936 88788 89768 101472 102592 103737 104882 118384 134652 135296 138316 153888 157323 177576 179536 202944 205184 207474 209764 236768 242053 269304 276632 307776 314646 355152 359072 367087 405888 414948 419528 473536 484106 538608 553264 615552 629292 710304 718144 726159 734174 829896 839056 947072 968212 1077216 1101261 1106528 1258584 1420608 1436288 1452318 1468348 1659792 1678112 1694371 1936424 2154432 2202522 2213056 2517168 2569609 2841216 2904636 2936696 3319584 3356224 3388742 3872848 4308864 4405044 4426112 5034336 5083113 5139218 5809272 5873392 6639168 6712448 6777484 7708827 7745696 7918591 8810088 10068672 10166226 10278436 11618544 11746784 12008989 13278336 13554968 15417654 15491392 15837182 17620176 20137344 20332452 20556872 23237088 23493568 23755773 24017978 27109936 30835308 30982784 31674364 35240352 36026967 40664904 41113744 46474176 46987136 47511546 48035956 54219872 55430137 61670616 63348728 70480704 72053934 81329808 82227488 84062923 92948352 95023092 96071912 108439744 110860274 123341232 126697456 140961408 144107868 162659616 164454976 166290411 168125846 190046184 192143824 216879488 221720548 246682464 252188769 253394912 288215736 325319232 328909952 332580822 336251692 380092368 384287648 388010959 443441096 493364928 504377538 506789824 576431472 588440461 650638464 665161644 672503384 760184736 768575296 776021918 886882192 986729856 1008755076 1013579648 1152862944 1164032877 1176880922 1330323288 1345006768 1520369472 1537150592 1552043836 1765321383 1773764384 1813357339 2017510152 2305725888 2328065754 2353761844 2660646576 2690013536 3040738944 3104087672 3530642766 3547528768 3626714678 4035020304 4611451776 4656131508 4707523688 5321293152 5380027072 5440072017 6208175344 7061285532 7095057536 7253429356 8070040608 9312263016 9415047376 10642586304 10760054144 10880144034 12416350688 12693501373 14122571064 14506858712 16140081216 18624526032 18830094752 21285172608 21760288068 24832701376 25387002746 28245142128 29013717424 32280162432 37249052064 37660189504 38080504119 43520576136 49665402752 50774005492 56490284256 58027434848 74498104128 75320379008 76161008238 87041152272 88854509611 101548010984 112980568512 116054869696 148996208256 152322016476 174082304544 177709019222 203096021968 225961137024 232109739392 266563528833 304644032952 348164609088 355418038444 406192043936 533127057666 609288065904 696329218176 710836076888 812384087872 1066254115332 1218576131808 1421672153776 1624768175744 2132508230664 2437152263616 2843344307552 4265016461328 4874304527232 5686688615104 8530032922656 11373377230208 17060065845312 34120131690624
• Sum of all divisors σ(n): 106592266684800
• Sum of proper divisors (its aliquot sum) s(n): 72472134994176
• 34120131690624 is an abundant number, because the sum of its proper divisors (72472134994176) is greater than itself. Its abundance is 38352003303552

Bases of 34120131690624

• Binary: 111110000100000110110010101000100000010000000₂
• Hexadecimal: 0x1F0836544080
• Base-36: C3EKLGAYO

Squares and roots of 34120131690624

• 34120131690624 squared (34120131690624²) is 1164183386585524180449509376
• 34120131690624 cubed (34120131690624³) is 39722090462334714917845950393610219290624
• The square root of 34120131690624 is 5841244.0190959323
• The cube root of 34120131690624 is 32434.2280695331

Scales and comparisons

• 34,120,131,690,624 seconds is equal to 1,084,914 years, 33 weeks, 4 days, 14 hours, 30 minutes, 24 seconds.
• To count from 1 to 34,120,131,690,624 would take you about two million, seven hundred twelve thousand, two hundred eighty-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 34120131690624 cubic inches would be around 2702.9 feet tall.

Recreational maths with 34120131690624

• 34120131690624 backwards is 42609613102143
• 34120131690624 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 34120131690624's digits is 42
• More coming soon!