34389827680000

Names of 34389827680000

• Cardinal: 34389827680000 can be written as Thirty-four trillion, three hundred eighty-nine billion, eight hundred twenty-seven million, six hundred eighty thousand.

Scientific notation

• Scientific notation: 3.438982768 × 10¹³

Factors of 34389827680000

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 434

Divisors of 34389827680000

• Number of divisors d(n): 1440
• Complete list of divisors:
  1 2 4 5 8 10 13 16 17 20 25 26 31 32 34 40 50 52 62 64 65 68 80 85 100 104 124 125 128 130 136 137 155 160 170 200 208 221 229 248 250 256 260 272 274 310 320 325 340 400 403 416 425 442 458 496 500 520 527 544 548 620 625 640 650 680 685 775 800 806 832 850 884 916 992 1000 1040 1054 1088 1096 1105 1145 1240 1250 1280 1300 1360 1370 1550 1600 1612 1625 1664 1700 1768 1781 1832 1984 2000 2015 2080 2108 2125 2176 2192 2210 2290 2329 2480 2500 2600 2635 2720 2740 2977 3100 3200 3224 3250 3328 3400 3425 3536 3562 3664 3875 3893 3968 4000 4030 4160 4216 4247 4250 4352 4384 4420 4580 4658 4960 5000 5200 5270 5440 5480 5525 5725 5954 6200 6400 6448 6500 6800 6850 6851 7072 7099 7124 7328 7750 7786 7936 8000 8060 8125 8320 8432 8494 8500 8768 8840 8905 9160 9316 9920 10000 10075 10400 10540 10625 10880 10960 11050 11450 11645 11908 12400 12896 13000 13175 13600 13700 13702 14144 14198 14248 14656 14885 15500 15572 16000 16120 16250 16640 16864 16988 17000 17125 17536 17680 17810 18320 18632 19375 19465 19840 20000 20150 20800 21080 21235 21250 21760 21920 22100 22900 23290 23816 24800 25792 26000 26350 27200 27400 27404 27625 28288 28396 28496 28625 29312 29770 30277 31000 31144 31373 32000 32240 32500 33728 33976 34000 34250 34255 35072 35360 35495 35620 36640 37264 38750 38930 39680 40000 40300 41600 42160 42470 42500 43840 44200 44525 45800 46580 47632 49600 50375 50609 51584 52000 52700 54400 54800 54808 55211 55250 56576 56792 56992 57250 58225 58624 59540 60554 62000 62288 62746 64480 65000 65875 67456 67952 68000 68500 68510 70720 70990 71240 72199 73280 74425 74528 77500 77860 80000 80600 83200 84320 84940 85000 85625 87680 88400 89050 91600 92287 93160 95264 97325 99200 100750 101218 103168 104000 105400 106175 108800 109600 109616 110422 110500 113584 113984 114500 116450 119080 120683 121108 124000 124576 125492 128960 130000 131750 134912 135904 136000 137000 137020 138125 141440 141980 142480 143125 144398 146560 148850 149056 151385 155000 155720 156865 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40458620800 41333927500 42667280000 42987284600 44373971200 50204128000 50573276000 52907427200 53734105750 55023724288 55467464000 62755160000 63216595000 65255840000 66134284000 68779655360 69334330000 75086960000 77805040000 80917241600 82667855000 85334560000 85974569200 101146552000 105814854400 107468211500 110934928000 125510320000 126433190000 132268568000 134335264375 137559310720 138668660000 150173920000 155610080000 165335710000 171949138400 202293104000 214936423000 221869856000 251020640000 252866380000 264537136000 268670528750 275118621440 277337320000 330671420000 343898276800 404586208000 429872846000 505732760000 529074272000 537341057500 554674640000 661342840000 687796553600 859745692000 1011465520000 1074682115000 1109349280000 1322685680000 1375593107200 1719491384000 2022931040000 2149364230000 2645371360000 3438982768000 4298728460000 6877965536000 8597456920000 17194913840000 34389827680000
• Sum of all divisors σ(n): 102147884213760
• Sum of proper divisors (its aliquot sum) s(n): 67758056533760
• 34389827680000 is an abundant number, because the sum of its proper divisors (67758056533760) is greater than itself. Its abundance is 33368228853760

Bases of 34389827680000

• Binary: 111110100011100000001011101100111011100000000₂
• Hexadecimal: 0x1F4701767700
• Base-36: C6UGVHC74

Squares and roots of 34389827680000

• 34389827680000 squared (34389827680000²) is 1182660247860094182400000000
• 34389827680000 cubed (34389827680000³) is 40671482127894727681306488832000000000000
• The square root of 34389827680000 is 5864284.0722461595
• The cube root of 34389827680000 is 32519.4605910709

Scales and comparisons

• 34,389,827,680,000 seconds is equal to 1,093,490 years, 7 weeks, 3 days, 23 hours, 6 minutes, 40 seconds.
• To count from 1 to 34,389,827,680,000 would take you about two million, seven hundred thirty-three thousand, seven hundred twenty-five 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 34389827680000 cubic inches would be around 2710 feet tall.

Recreational maths with 34389827680000

• 34389827680000 backwards is 00008672898343
• The number of decimal digits it has is: 14
• The sum of 34389827680000's digits is 58
• More coming soon!