34359738368000000

Names of 34359738368000000

• Cardinal: 34359738368000000 can be written as Thirty-four quadrillion, three hundred fifty-nine trillion, seven hundred thirty-eight billion, three hundred sixty-eight million.

Scientific notation

• Scientific notation: 3.4359738368 × 10¹⁶

Factors of 34359738368000000

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 47
• Sum of prime factors: 7

Divisors of 34359738368000000

• Number of divisors d(n): 294
• Complete list of divisors:
  1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1024 1250 1280 1600 2000 2048 2500 2560 3125 3200 4000 4096 5000 5120 6250 6400 8000 8192 10000 10240 12500 12800 15625 16000 16384 20000 20480 25000 25600 31250 32000 32768 40000 40960 50000 51200 62500 64000 65536 80000 81920 100000 102400 125000 128000 131072 160000 163840 200000 204800 250000 256000 262144 320000 327680 400000 409600 500000 512000 524288 640000 655360 800000 819200 1000000 1024000 1048576 1280000 1310720 1600000 1638400 2000000 2048000 2097152 2560000 2621440 3200000 3276800 4000000 4096000 4194304 5120000 5242880 6400000 6553600 8000000 8192000 8388608 10240000 10485760 12800000 13107200 16000000 16384000 16777216 20480000 20971520 25600000 26214400 32000000 32768000 33554432 40960000 41943040 51200000 52428800 64000000 65536000 67108864 81920000 83886080 102400000 104857600 128000000 131072000 134217728 163840000 167772160 204800000 209715200 256000000 262144000 268435456 327680000 335544320 409600000 419430400 512000000 524288000 536870912 655360000 671088640 819200000 838860800 1024000000 1048576000 1073741824 1310720000 1342177280 1638400000 1677721600 2048000000 2097152000 2147483648 2621440000 2684354560 3276800000 3355443200 4096000000 4194304000 4294967296 5242880000 5368709120 6553600000 6710886400 8192000000 8388608000 8589934592 10485760000 10737418240 13107200000 13421772800 16384000000 16777216000 17179869184 20971520000 21474836480 26214400000 26843545600 32768000000 33554432000 34359738368 41943040000 42949672960 52428800000 53687091200 65536000000 67108864000 68719476736 83886080000 85899345920 104857600000 107374182400 131072000000 134217728000 137438953472 167772160000 171798691840 209715200000 214748364800 262144000000 268435456000 274877906944 335544320000 343597383680 419430400000 429496729600 524288000000 536870912000 549755813888 671088640000 687194767360 838860800000 858993459200 1048576000000 1073741824000 1099511627776 1342177280000 1374389534720 1677721600000 1717986918400 2097152000000 2147483648000 2199023255552 2684354560000 2748779069440 3355443200000 3435973836800 4194304000000 4294967296000 5368709120000 5497558138880 6710886400000 6871947673600 8388608000000 8589934592000 10737418240000 10995116277760 13421772800000 13743895347200 16777216000000 17179869184000 21474836480000 26843545600000 27487790694400 33554432000000 34359738368000 42949672960000 53687091200000 54975581388800 67108864000000 68719476736000 85899345920000 107374182400000 134217728000000 137438953472000 171798691840000 214748364800000 268435456000000 274877906944000 343597383680000 429496729600000 536870912000000 687194767360000 858993459200000 1073741824000000 1374389534720000 1717986918400000 2147483648000000 3435973836800000 4294967296000000 6871947673600000 8589934592000000 17179869184000000 34359738368000000
• Sum of all divisors σ(n): 85898246408352693
• Sum of proper divisors (its aliquot sum) s(n): 51538508040352693
• 34359738368000000 is an abundant number, because the sum of its proper divisors (51538508040352693) is greater than itself. Its abundance is 17178769672352693

Bases of 34359738368000000

• Binary: 1111010000100100000000000000000000000000000000000000000₂
• Hexadecimal: 0x7A120000000000
• Base-36: 9EBIDWA5H4W

Squares and roots of 34359738368000000

• 34359738368000000 squared (34359738368000000²) is 1180591620717411303424000000000000
• 34359738368000000 cubed (34359738368000000³) is 40564819207303340847894502572032000000000000000000
• The square root of 34359738368000000 is 185363800.0473663143
• The cube root of 34359738368000000 is 325099.7354430873
• Being both a perfect square and a perfect cube, 34359738368000000 is also a perfect sixth number.

Scales and comparisons

• 34,359,738,368,000,000 seconds is equal to 1,092,533,398 years, 23 weeks, 4 days, 53 minutes, 20 seconds.
• To count from 1 to 34,359,738,368,000,000 would take you about three billion, two hundred seventy-seven million, six hundred thousand, one hundred ninety-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 34359738368000000 cubic inches would be around 27091.6 feet tall.

Recreational maths with 34359738368000000

• 34359738368000000 backwards is 00000086383795343
• The number of decimal digits it has is: 17
• The sum of 34359738368000000's digits is 59
• More coming soon!