34319737946112

Names of 34319737946112

• Cardinal: 34319737946112 can be written as Thirty-four trillion, three hundred nineteen billion, seven hundred thirty-seven million, nine hundred forty-six thousand, one hundred twelve.

Scientific notation

• Scientific notation: 3.4319737946112 × 10¹³

Factors of 34319737946112

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 21
• Sum of prime factors: 961

Divisors of 34319737946112

• Number of divisors d(n): 216
• Complete list of divisors:
  1 2 3 4 6 8 12 16 24 32 48 64 96 127 128 192 254 256 381 384 508 512 762 768 829 1016 1024 1524 1536 1658 2032 2048 2487 3048 3072 3316 4064 4096 4974 6096 6144 6632 8128 8192 9948 12192 12288 13264 16256 16384 19896 24384 24576 26528 32512 32768 39792 48768 49152 53056 65024 65536 79584 97536 98304 105283 106112 130048 131072 159168 195072 196608 210566 212224 260096 315849 318336 390144 393216 421132 424448 520192 631698 636672 687241 780288 842264 848896 1040384 1263396 1273344 1374482 1560576 1684528 1697792 2061723 2080768 2526792 2546688 2748964 3121152 3369056 3395584 4123446 4161536 5053584 5093376 5497928 6242304 6738112 6791168 8246892 8323072 10107168 10186752 10995856 12484608 13476224 13582336 16493784 16646144 20214336 20373504 21991712 24969216 26952448 27164672 32987568 40428672 40747008 43983424 49938432 53904896 54329344 65975136 80857344 81494016 87279607 87966848 107809792 108658688 131950272 161714688 162988032 174559214 175933696 215619584 261838821 263900544 323429376 325976064 349118428 351867392 431239168 523677642 527801088 646858752 698236856 703734784 862478336 1047355284 1055602176 1293717504 1396473712 1407469568 1724956672 2094710568 2111204352 2587435008 2792947424 2814939136 3449913344 4189421136 4222408704 5174870016 5585894848 5629878272 6899826688 8378842272 8444817408 10349740032 11171789696 11259756544 13799653376 16757684544 16889634816 20699480064 22343579392 22519513088 33515369088 33779269632 41398960128 44687158784 45039026176 67030738176 67558539264 89374317568 90078052352 134061476352 135117078528 178748635136 268122952704 270234157056 357497270272 536245905408 714994540544 1072491810816 1429989081088 2144983621632 2859978162176 4289967243264 5719956324352 8579934486528 11439912648704 17159868973056 34319737946112
• Sum of all divisors σ(n): 92350974030336
• Sum of proper divisors (its aliquot sum) s(n): 58031236084224
• 34319737946112 is an abundant number, because the sum of its proper divisors (58031236084224) is greater than itself. Its abundance is 23711498138112

Bases of 34319737946112

• Binary: 111110011011010101111110010100000000000000000₂
• Hexadecimal: 0x1F36AFCA0000
• Base-36: C5Y9PV3EO

Squares and roots of 34319737946112

• 34319737946112 squared (34319737946112²) is 1177844412689799920215916544
• 34319737946112 cubed (34319737946112³) is 40423311584806128823203221119350161276928
• The square root of 34319737946112 is 5858305.0403774639
• The cube root of 34319737946112 is 32497.3529823991

Scales and comparisons

• 34,319,737,946,112 seconds is equal to 1,091,261 years, 26 weeks, 3 days, 4 hours, 35 minutes, 12 seconds.
• To count from 1 to 34,319,737,946,112 would take you about two million, seven hundred twenty-eight thousand, one hundred fifty-three 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 34319737946112 cubic inches would be around 2708.1 feet tall.

Recreational maths with 34319737946112

• 34319737946112 backwards is 21164973791343
• The number of decimal digits it has is: 14
• The sum of 34319737946112's digits is 60
• More coming soon!