34561414961137120

Names of 34561414961137120

• Cardinal: 34561414961137120 can be written as Thirty-four quadrillion, five hundred sixty-one trillion, four hundred fourteen billion, nine hundred sixty-one million, one hundred thirty-seven thousand, one hundred twenty.

Scientific notation

• Scientific notation: 3.456141496113712 × 10¹⁶

Factors of 34561414961137120

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 243

Divisors of 34561414961137120

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 229 245 280 343 392 458 490 560 686 784 916 980 1120 1145 1372 1568 1603 1715 1832 1960 2290 2744 3206 3430 3664 3920 4580 5488 6412 6860 7328 7840 8015 9160 10976 11221 12824 13720 16030 18320 22442 25648 27440 32060 36640 44884 51296 52441 54880 56105 64120 78547 89768 104882 112210 128240 157094 179536 209764 224420 256480 262205 314188 359072 367087 392735 419528 448840 524410 628376 734174 785470 839056 897680 1048820 1256752 1468348 1570940 1678112 1795360 1835435 2097640 2513504 2569609 2936696 3141880 3670870 4195280 5139218 5873392 6283760 7341740 8390560 10278436 11746784 12008989 12567520 12848045 14683480 17987263 20556872 24017978 25696090 29366960 35974526 41113744 48035956 51392180 58733920 60044945 71949052 82227488 84062923 89936315 96071912 102784360 120089890 143898104 168125846 179872630 192143824 205568720 240179780 287796208 336251692 359745260 384287648 411137440 420314615 480359560 575592416 588440461 672503384 719490520 840629230 960719120 1176880922 1345006768 1438981040 1681258460 1921438240 2353761844 2690013536 2750058481 2877962080 2942202305 3362516920 4119083227 4707523688 5500116962 5884404610 6725033840 8238166454 9415047376 11000233924 11768809220 13450067680 13750292405 16476332908 18830094752 19250409367 20595416135 22000467848 23537618440 27500584810 32952665816 38500818734 41190832270 44000935696 47075236880 55001169620 65905331632 77001637468 82381664540 88001871392 94150473760 96252046835 110002339240 131810663264 134752865569 154003274936 164763329080 192504093670 220004678480 269505731138 308006549872 329526658160 385008187340 440009356960 539011462276 616013099744 629763392149 659053316320 673764327845 770016374680 943270058983 1078022924552 1259526784298 1347528655690 1540032749360 1886540117966 2156045849104 2519053568596 2695057311380 3080065498720 3148816960745 3773080235932 4312091698208 4408343745043 4716350294915 5038107137192 5390114622760 6297633921490 7546160471864 8816687490086 9432700589830 10076214274384 10780229245520 12595267842980 15092320943728 17633374980172 18865401179660 20152428548768 21560458491040 22041718725215 25190535685960 30184641887456 30858406215301 35266749960344 37730802359320 44083437450430 50381071371920 61716812430602 70533499920688 75461604718640 88166874900860 100762142743840 123433624861204 141066999841376 150923209437280 154292031076505 176333749801720 216008843507107 246867249722408 308584062153010 352667499603440 432017687014214 493734499444816 617168124306020 705334999206880 864035374028428 987468998889632 1080044217535535 1234336248612040 1728070748056856 2160088435071070 2468672497224080 3456141496113712 4320176870142140 4937344994448160 6912282992227424 8640353740284280 17280707480568560 34561414961137120
• Sum of all divisors σ(n): 95637857458248000
• Sum of proper divisors (its aliquot sum) s(n): 61076442497110880
• 34561414961137120 is an abundant number, because the sum of its proper divisors (61076442497110880) is greater than itself. Its abundance is 26515027535973760

Bases of 34561414961137120

• Binary: 1111010110010010110110001111101101100011000010111100000₂
• Hexadecimal: 0x7AC96C7DB185E0
• Base-36: 9GAZYUEKJJ4

Squares and roots of 34561414961137120

• 34561414961137120 squared (34561414961137120²) is 1194491404115912753959923441894400
• 34561414961137120 cubed (34561414961137120³) is 41283313085161392694213583995926715044470960128000
• The square root of 34561414961137120 is 185907006.2185315275
• The cube root of 34561414961137120 is 325734.5592958121

Scales and comparisons

• 34,561,414,961,137,120 seconds is equal to 1,098,946,090 years, 15 weeks, 18 minutes, 40 seconds.
• To count from 1 to 34,561,414,961,137,120 would take you about three billion, two hundred ninety-six million, eight hundred thirty-eight thousand, two hundred seventy 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 34561414961137120 cubic inches would be around 27144.5 feet tall.

Recreational maths with 34561414961137120

• 34561414961137120 backwards is 02173116941416543
• The number of decimal digits it has is: 17
• The sum of 34561414961137120's digits is 58
• More coming soon!