34009593984

Names of 34009593984

• Cardinal: 34009593984 can be written as Thirty-four billion, nine million, five hundred ninety-three thousand, nine hundred eighty-four.

Scientific notation

• Scientific notation: 3.4009593984 × 10¹⁰

Factors of 34009593984

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 2025

Divisors of 34009593984

• Number of divisors d(n): 256
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 128 136 144 153 192 204 216 272 288 289 306 384 408 432 459 544 576 578 612 816 864 867 918 1088 1152 1156 1224 1632 1728 1734 1836 2003 2176 2312 2448 2601 3264 3456 3468 3672 4006 4624 4896 4913 5202 6009 6528 6936 7344 7803 8012 9248 9792 9826 10404 12018 13872 14688 14739 15606 16024 18027 18496 19584 19652 20808 24036 27744 29376 29478 31212 32048 34051 36054 36992 39304 41616 44217 48072 54081 55488 58752 58956 62424 64096 68102 72108 78608 83232 88434 96144 102153 108162 110976 117912 124848 128192 132651 136204 144216 157216 166464 176868 192288 204306 216324 235824 249696 256384 265302 272408 288432 306459 314432 332928 353736 384576 408612 432648 471648 499392 530604 544816 576864 578867 612918 628864 707472 769152 817224 865296 919377 943296 998784 1061208 1089632 1153728 1157734 1225836 1414944 1634448 1730592 1736601 1838754 1886592 2122416 2179264 2307456 2315468 2451672 2829888 3268896 3461184 3473202 3677508 4244832 4358528 4630936 4903344 5209803 5659776 6537792 6922368 6946404 7355016 8489664 9261872 9806688 9840739 10419606 13075584 13892808 14710032 15629409 16979328 18523744 19613376 19681478 20839212 27785616 29420064 29522217 31258818 37047488 39226752 39362956 41678424 55571232 58840128 59044434 62517636 74094976 78725912 83356848 88566651 111142464 117680256 118088868 125035272 157451824 166713696 177133302 222284928 236177736 250070544 265699953 314903648 333427392 354266604 472355472 500141088 531399906 629807296 666854784 708533208 944710944 1000282176 1062799812 1259614592 1417066416 1889421888 2000564352 2125599624 2834132832 3778843776 4251199248 5668265664 8502398496 11336531328 17004796992 34009593984
• Sum of all divisors σ(n): 106700976000
• Sum of proper divisors (its aliquot sum) s(n): 72691382016
• 34009593984 is an abundant number, because the sum of its proper divisors (72691382016) is greater than itself. Its abundance is 38681788032

Bases of 34009593984

• Binary: 11111101011001000010011100010000000₂
• Hexadecimal: 0x7EB213880
• Base-36: FMGFMO0

Squares and roots of 34009593984

• 34009593984 squared (34009593984²) is 1156652482956528992256
• 34009593984 cubed (34009593984³) is 39337281325937030948551240187904
• The square root of 34009593984 is 184416.9026526581
• The cube root of 34009593984 is 3239.9164861875

Scales and comparisons

• 34,009,593,984 seconds is equal to 1,081 years, 20 weeks, 5 days, 13 hours, 26 minutes, 24 seconds.
• To count from 1 to 34,009,593,984 would take you about two thousand, one hundred sixty-two 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 34009593984 cubic inches would be around 270 feet tall.

Recreational maths with 34009593984

• 34009593984 backwards is 48939590043
• 34009593984 is a Harshad number.
• The number of decimal digits it has is: 11
• The sum of 34009593984's digits is 54
• More coming soon!