345120513920

Names of 345120513920

• Cardinal: 345120513920 can be written as Three hundred forty-five billion, one hundred twenty million, five hundred thirteen thousand, nine hundred twenty.

Scientific notation

• Scientific notation: 3.4512051392 × 10¹¹

Factors of 345120513920

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 369

Divisors of 345120513920

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 64 65 70 80 91 104 112 113 128 130 140 160 182 208 224 226 229 260 280 320 364 416 448 452 455 458 520 560 565 640 728 791 832 896 904 910 916 1040 1120 1130 1145 1456 1469 1582 1603 1664 1808 1820 1832 2080 2240 2260 2290 2912 2938 2977 3164 3206 3616 3640 3664 3955 4160 4480 4520 4580 5824 5876 5954 6328 6412 7232 7280 7328 7345 7910 8015 8320 9040 9160 10283 11648 11752 11908 12656 12824 14464 14560 14656 14690 14885 15820 16030 18080 18320 20566 20839 23504 23816 25312 25648 25877 29120 29312 29380 29770 31640 32060 36160 36640 41132 41678 47008 47632 50624 51296 51415 51754 52441 58240 58760 59540 63280 64120 72320 73280 82264 83356 94016 95264 101248 102592 102830 103508 104195 104882 117520 119080 126560 128240 129385 146560 164528 166712 181139 188032 190528 205184 205660 207016 208390 209764 235040 238160 253120 256480 258770 262205 329056 333424 336401 362278 367087 381056 411320 414032 416780 419528 470080 476320 506240 512960 517540 524410 658112 666848 672802 681733 724556 734174 822640 828064 833560 839056 905695 940160 952640 1025920 1035080 1048820 1316224 1333696 1345604 1363466 1449112 1468348 1645280 1656128 1667120 1678112 1682005 1811390 1835435 1905280 2070160 2097640 2354807 2667392 2691208 2726932 2898224 2936696 3290560 3312256 3334240 3356224 3364010 3408665 3622780 3670870 4140320 4195280 4709614 4772131 5382416 5453864 5796448 5873392 5925833 6581120 6668480 6712448 6728020 6817330 7245560 7341740 8280640 8390560 9419228 9544262 10764832 10907728 11592896 11746784 11774035 11851666 13336960 13456040 13634660 14491120 14683480 16561280 16781120 18838456 19088524 21529664 21815456 23185792 23493568 23548070 23703332 23860655 26912080 27269320 28982240 29366960 29629165 33562240 37676912 38177048 41480831 43059328 43630912 46987136 47096140 47406664 47721310 53824160 54538640 57964480 58733920 59258330 75353824 76354096 77035829 82961662 87261824 94192280 94813328 95442620 107648320 109077280 115928960 117467840 118516660 150707648 152708192 154071658 165923324 188384560 189626656 190885240 207404155 215296640 218154560 234935680 237033320 301415296 305416384 308143316 331846648 376769120 379253312 381770480 385179145 414808310 436309120 474066640 539250803 610832768 616286632 663693296 753538240 758506624 763540960 770358290 829616620 948133280 1078501606 1232573264 1327386592 1507076480 1527081920 1540716580 1659233240 1896266560 2157003212 2465146528 2654773184 2696254015 3054163840 3081433160 3318466480 3792533120 4314006424 4930293056 5309546368 5392508030 6162866320 6636932960 8628012848 9860586112 10785016060 12325732640 13273865920 17256025696 21570032120 24651465280 26547731840 34512051392 43140064240 49302930560 69024102784 86280128480 172560256960 345120513920
• Sum of all divisors σ(n): 1028930091840
• Sum of proper divisors (its aliquot sum) s(n): 683809577920
• 345120513920 is an abundant number, because the sum of its proper divisors (683809577920) is greater than itself. Its abundance is 338689064000

Bases of 345120513920

• Binary: 101000001011010110010010001111110000000₂
• Hexadecimal: 0x505AC91F80
• Base-36: 4EJNUCU8

Squares and roots of 345120513920

• 345120513920 squared (345120513920²) is 119108169128404913766400
• 345120513920 cubed (345120513920³) is 41106672541665382308913250828288000
• The square root of 345120513920 is 587469.5855276255
• The cube root of 345120513920 is 7014.3956395479

Scales and comparisons

• 345,120,513,920 seconds is equal to 10,973 years, 39 weeks, 5 days, 9 hours, 25 minutes, 20 seconds.
• To count from 1 to 345,120,513,920 would take you about twenty-one thousand, nine hundred forty-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 345120513920 cubic inches would be around 584.5 feet tall.

Recreational maths with 345120513920

• 345120513920 backwards is 029315021543
• 345120513920 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 345120513920's digits is 35
• More coming soon!