345930314400

Names of 345930314400

• Cardinal: 345930314400 can be written as Three hundred forty-five billion, nine hundred thirty million, three hundred fourteen thousand, four hundred.

Scientific notation

• Scientific notation: 3.459303144 × 10¹¹

Factors of 345930314400

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 140949

Divisors of 345930314400

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 30 31 32 33 36 40 44 45 48 50 55 60 62 66 72 75 80 88 90 93 96 99 100 110 120 124 132 144 150 155 160 165 176 180 186 198 200 220 225 240 248 264 275 279 288 300 310 330 341 352 360 372 396 400 440 450 465 480 495 496 528 550 558 600 620 660 682 720 744 775 792 800 825 880 900 930 990 992 1023 1056 1100 1116 1200 1240 1320 1364 1395 1440 1488 1550 1584 1650 1705 1760 1800 1860 1980 2046 2200 2232 2325 2400 2475 2480 2640 2728 2790 2976 3069 3100 3168 3300 3410 3600 3720 3960 4092 4400 4464 4650 4950 4960 5115 5280 5456 5580 6138 6200 6600 6820 6975 7200 7440 7920 8184 8525 8800 8928 9300 9900 10230 10912 11160 12276 12400 13200 13640 13950 14880 15345 15840 16368 17050 18600 19800 20460 22320 24552 24800 25575 26400 27280 27900 30690 32736 34100 37200 39600 40920 44640 49104 51150 54560 55800 61380 68200 74400 76725 79200 81840 98208 102300 111600 122760 136400 140897 153450 163680 204600 223200 245520 272800 281794 306900 409200 422691 491040 563588 613800 704485 818400 845382 1127176 1227600 1268073 1408970 1549867 1690764 2113455 2254352 2455200 2536146 2817940 3099734 3381528 3522425 4226910 4367807 4508704 4649601 5072292 5635880 6199468 6340365 6763056 7044850 7749335 8453820 8735614 9299202 10144584 10567275 11271760 12398936 12680730 13103421 13526112 13948803 14089700 15498670 16907640 17471228 18598404 20289168 21134550 21839035 22543520 23248005 24797872 25361460 26206842 27897606 28179400 30997340 31701825 33815280 34942456 37196808 38746675 39310263 40578336 42269100 43678070 46496010 48045877 49595744 50722920 52413684 55795212 56358800 61994680 63403650 65517105 67630560 69744015 69884912 74393616 77493350 78620526 84538200 87356140 92992020 96091754 101445840 104827368 109195175 111590424 112717600 116240025 123989360 126807300 131034210 139488030 139769824 144137631 148787232 154986700 157241052 169076400 174712280 185984040 192183508 196551315 202891680 209654736 218390350 223180848 232480050 240229385 247978720 253614600 262068420 278976060 288275262 309973400 314482104 327585525 338152800 348720075 349424560 371968080 384367016 393102630 419309472 432412893 436780700 446361696 464960100 480458770 507229200 524136840 557952120 576550524 619946800 628964208 655171050 697440150 698849120 720688155 743936160 768734032 786205260 864825786 873561400 929920200 960917540 982756575 1014458400 1048273680 1115904240 1153101048 1201146925 1239893600 1257928416 1310342100 1394880300 1441376310 1537468064 1572410520 1729651572 1747122800 1859840400 1921835080 1965513150 2096547360 2162064465 2231808480 2306202096 2402293850 2620684200 2789760600 2882752620 3144821040 3459303144 3494245600 3603440775 3719680800 3843670160 3931026300 4324128930 4612404192 4804587700 5241368400 5579521200 5765505240 6289642080 6918606288 7206881550 7687340320 7862052600 8648257860 9609175400 10482736800 10810322325 11159042400 11531010480 13837212576 14413763100 15724105200 17296515720 19218350800 21620644650 23062020960 28827526200 31448210400 34593031440 38436701600 43241289300 57655052400 69186062880 86482578600 115310104800 172965157200 345930314400
• Sum of all divisors σ(n): 1373667579648
• Sum of proper divisors (its aliquot sum) s(n): 1027737265248
• 345930314400 is an abundant number, because the sum of its proper divisors (1027737265248) is greater than itself. Its abundance is 681806950848

Bases of 345930314400

• Binary: 101000010001011000011011011001010100000₂
• Hexadecimal: 0x508B0DB2A0
• Base-36: 4EX1Z6W0

Squares and roots of 345930314400

• 345930314400 squared (345930314400²) is 119667782420882847360000
• 345930314400 cubed (345930314400³) is 41396713596406796512812009984000000
• The square root of 345930314400 is 588158.4092742363
• The cube root of 345930314400 is 7019.8776124961

Scales and comparisons

• 345,930,314,400 seconds is equal to 10,999 years, 26 weeks, 5 days, 2 hours.
• To count from 1 to 345,930,314,400 would take you about twenty-one thousand, nine hundred ninety-nine 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 345930314400 cubic inches would be around 585 feet tall.

Recreational maths with 345930314400

• 345930314400 backwards is 004413039543
• 345930314400 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 345930314400's digits is 36
• More coming soon!