34185434225040

Names of 34185434225040

• Cardinal: 34185434225040 can be written as Thirty-four trillion, one hundred eighty-five billion, four hundred thirty-four million, two hundred twenty-five thousand and forty.

Scientific notation

• Scientific notation: 3.418543422504 × 10¹³

Factors of 34185434225040

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 3987568

Divisors of 34185434225040

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 35 36 40 42 45 48 49 54 56 60 63 70 72 80 81 84 90 98 105 108 112 120 126 135 140 144 147 162 168 180 189 196 210 216 240 243 245 252 270 280 294 315 324 336 360 378 392 405 420 432 441 486 490 504 540 560 567 588 630 648 720 729 735 756 784 810 840 882 945 972 980 1008 1080 1134 1176 1215 1260 1296 1323 1458 1470 1512 1620 1680 1701 1764 1890 1944 1960 2160 2187 2205 2268 2352 2430 2520 2646 2835 2916 2940 3024 3240 3402 3528 3645 3780 3888 3920 3969 4374 4410 4536 4860 5040 5103 5292 5670 5832 5880 6480 6615 6804 7056 7290 7560 7938 8505 8748 8820 9072 9720 10206 10584 10935 11340 11664 11760 11907 13230 13608 14580 15120 15309 15876 17010 17496 17640 19440 19845 20412 21168 21870 22680 23814 25515 26460 27216 29160 30618 31752 34020 34992 35280 35721 39690 40824 43740 45360 47628 51030 52920 58320 59535 61236 63504 68040 71442 76545 79380 81648 87480 95256 102060 105840 107163 119070 122472 136080 142884 153090 158760 174960 178605 190512 204120 214326 238140 244944 285768 306180 317520 357210 408240 428652 476280 535815 571536 612360 714420 857304 952560 1071630 1224720 1428840 1714608 2143260 2857680 3987551 4286520 7975102 8573040 11962653 15950204 19937755 23925306 27912857 31900408 35887959 39875510 47850612 55825714 59813265 63800816 71775918 79751020 83738571 95701224 107663877 111651428 119626530 139564285 143551836 159502040 167477142 179439795 191402448 195389999 215327754 223302856 239253060 251215713 279128570 287103672 319004080 322991631 334954284 358879590 390779998 418692855 430655508 446605712 478506120 502431426 538319385 558257140 574207344 586169997 645983262 669908568 717759180 753647139 781559996 837385710 861311016 957012240 968974893 976949995 1004862852 1076638770 1116514280 1172339994 1256078565 1291966524 1339817136 1435518360 1507294278 1563119992 1614958155 1674771420 1722622032 1758509991 1937949786 1953899990 2009725704 2153277540 2233028560 2260941417 2344679988 2512157130 2583933048 2871036720 2906924679 2930849985 3014588556 3126239984 3229916310 3349542840 3517019982 3768235695 3875899572 3907799980 4019451408 4306555080 4521882834 4689359976 4844874465 5024314260 5167866096 5275529973 5813849358 5861699970 6029177112 6459832620 6699085680 6782824251 7034039964 7536471390 7751799144 7815599960 8613110160 8720774037 8792549955 9043765668 9378719952 9689748930 10048628520 10551059946 11304707085 11627698716 11723399940 12058354224 12919665240 13565648502 14068079928 14534623395 15072942780 15503598288 15631199920 15826589919 17441548074 17585099910 18087531336 19379497860 20097257040 20348472753 21102119892 22609414170 23255397432 23446799880 25839330480 26377649865 27131297004 28136159856 29069246790 30145885560 31653179838 33914121255 34883096148 35170199820 36175062672 38758995720 40696945506 42204239784 43603870185 45218828340 46510794864 46893599760 47479769757 52755299730 54262594008 58138493580 60291771120 61045418259 63306359676 67828242510 69766192296 70340399640 77517991440 79132949595 81393891012 84408479568 87207740370 90437656680 94959539514 101742363765 105510599460 108525188016 116276987160 122090836518 126612719352 135656485020 139532384592 140680799280 142439309271 158265899190 162787782024 174415480740 180875313360 189919079028 203484727530 211021198920 232553974320 237398848785 244181673036 253225438704 271312970040 284878618542 305227091295 316531798380 325575564048 348830961480 379838158056 406969455060 422042397840 427317927813 474797697570 488363346072 542625940080 569757237084 610454182590 633063596760 697661922960 712196546355 759676316112 813938910120 854635855626 949595395140 976726692144 1139514474168 1220908365180 1266127193520 1424393092710 1627877820240 1709271711252 1899190790280 2136589639065 2279028948336 2441816730360 2848786185420 3418543422504 3798381580560 4273179278130 4883633460720 5697572370840 6837086845008 8546358556260 11395144741680 17092717112520 34185434225040
• Sum of all divisors σ(n): 138665366277120
• Sum of proper divisors (its aliquot sum) s(n): 104479932052080
• 34185434225040 is an abundant number, because the sum of its proper divisors (104479932052080) is greater than itself. Its abundance is 70294497827040

Bases of 34185434225040

• Binary: 111110001011101101010101010011101100110010000₂
• Hexadecimal: 0x1F176AA9D990
• Base-36: C48KKW900

Squares and roots of 34185434225040

• 34185434225040 squared (34185434225040²) is 1168643913154536185363001600
• 34185434225040 cubed (34185434225040³) is 39950599625637754781635480392784280064000
• The square root of 34185434225040 is 5846831.1267762813
• The cube root of 34185434225040 is 32454.9068436889

Scales and comparisons

• 34,185,434,225,040 seconds is equal to 1,086,991 years, 3 weeks, 2 days, 23 hours, 24 minutes.
• To count from 1 to 34,185,434,225,040 would take you about two million, seven hundred seventeen thousand, four hundred seventy-seven 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 34185434225040 cubic inches would be around 2704.6 feet tall.

Recreational maths with 34185434225040

• 34185434225040 backwards is 04052243458143
• 34185434225040 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 34185434225040's digits is 45
• More coming soon!