345200918400

Names of 345200918400

• Cardinal: 345200918400 can be written as Three hundred forty-five billion, two hundred million, nine hundred eighteen thousand, four hundred.

Scientific notation

• Scientific notation: 3.452009184 × 10¹¹

Factors of 345200918400

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 307360

Divisors of 345200918400

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 30 32 36 39 40 45 48 50 52 54 60 64 65 72 75 78 80 90 96 100 104 108 117 120 128 130 135 144 150 156 160 180 192 195 200 208 216 225 234 240 260 270 288 300 312 320 325 351 360 384 390 400 416 432 450 468 480 520 540 576 585 600 624 640 650 675 702 720 780 800 832 864 900 936 960 975 1040 1080 1152 1170 1200 1248 1300 1350 1404 1440 1560 1600 1664 1728 1755 1800 1872 1920 1950 2080 2160 2340 2400 2496 2600 2700 2808 2880 2925 3120 3200 3456 3510 3600 3744 3900 4160 4320 4680 4800 4992 5200 5400 5616 5760 5850 6240 7020 7200 7488 7800 8320 8640 8775 9360 9600 10400 10800 11232 11700 12480 14040 14400 14976 15600 17280 17550 18720 20800 21600 22464 23400 24960 28080 28800 31200 35100 37440 41600 43200 44928 46800 56160 62400 70200 74880 86400 93600 112320 124800 140400 187200 224640 280800 307337 374400 561600 614674 922011 1123200 1229348 1536685 1844022 2458696 2766033 3073370 3688044 3995381 4610055 4917392 5532066 6146740 7376088 7683425 7990762 8298099 9220110 9834784 11064132 11986143 12293480 13830165 14752176 15366850 15981524 16596198 18440220 19669568 19976905 22128264 23050275 23972286 24586960 27660330 29504352 30733700 31963048 33192396 35958429 36880440 39339136 39953810 41490495 44256528 46100550 47944572 49173920 55320660 59008704 59930715 61467400 63926096 66384792 69150825 71916858 73760880 79907620 82980990 88513056 92201100 95889144 98347840 99884525 107875287 110641320 118017408 119861430 122934800 127852192 132769584 138301650 143833716 147521760 159815240 165961980 177026112 179792145 184402200 191778288 196695680 199769050 207452475 215750574 221282640 239722860 245869600 255704384 265539168 276603300 287667432 295043520 299653575 319630480 331923960 354052224 359584290 368804400 383556576 399538100 414904950 431501148 442565280 479445720 491739200 511408768 531078336 539376435 553206600 575334864 590087040 599307150 639260960 663847920 719168580 737608800 767113152 799076200 829809900 863002296 885130560 898960725 958891440 983478400 1062156672 1078752870 1106413200 1150669728 1198614300 1278521920 1327695840 1438337160 1475217600 1534226304 1598152400 1659619800 1726004592 1770261120 1797921450 1917782880 2157505740 2212826400 2301339456 2397228600 2557043840 2655391680 2696882175 2876674320 2950435200 3196304800 3319239600 3452009184 3595842900 3835565760 4315011480 4425652800 4602678912 4794457200 5310783360 5393764350 5753348640 6392609600 6638479200 6904018368 7191685800 7671131520 8630022960 8851305600 9588914400 10787528700 11506697280 12785219200 13276958400 13808036736 14383371600 17260045920 19177828800 21575057400 23013394560 26553916800 28766743200 34520091840 38355657600 43150114800 57533486400 69040183680 86300229600 115066972800 172600459200 345200918400
• Sum of all divisors σ(n): 1360523858400
• Sum of proper divisors (its aliquot sum) s(n): 1015322940000
• 345200918400 is an abundant number, because the sum of its proper divisors (1015322940000) is greater than itself. Its abundance is 670122021600

Bases of 345200918400

• Binary: 101000001011111100100111111111110000000₂
• Hexadecimal: 0x505F93FF80
• Base-36: 4EKZPPC0

Squares and roots of 345200918400

• 345200918400 squared (345200918400²) is 119163674064203458560000
• 345200918400 cubed (345200918400³) is 41135409726881294459368341504000000
• The square root of 345200918400 is 587538.0144297047
• The cube root of 345200918400 is 7014.9403237169

Scales and comparisons

• 345,200,918,400 seconds is equal to 10,976 years, 16 weeks, 5 days.
• To count from 1 to 345,200,918,400 would take you about twenty-one thousand, nine hundred fifty-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 345200918400 cubic inches would be around 584.6 feet tall.

Recreational maths with 345200918400

• 345200918400 backwards is 004819002543
• 345200918400 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 345200918400's digits is 36
• More coming soon!