345100493199336776000

Names of 345100493199336776000

• Cardinal: 345100493199336776000 can be written as Three hundred forty-five quintillion, one hundred quadrillion, four hundred ninety-three trillion, one hundred ninety-nine billion, three hundred thirty-six million, seven hundred seventy-six thousand.

Scientific notation

• Scientific notation: 3.45100493199336776 × 10²⁰

Factors of 345100493199336776000

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 31901

Divisors of 345100493199336776000

• Number of divisors d(n): 336
• Complete list of divisors:
  1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 121 125 160 176 200 220 242 250 275 320 352 400 440 484 500 550 605 704 800 880 968 1000 1100 1210 1331 1375 1600 1760 1936 2000 2200 2420 2662 2750 3025 3520 3872 4000 4400 4840 5324 5500 6050 6655 7744 8000 8800 9680 10648 11000 12100 13310 15125 17600 19360 21296 22000 24200 26620 30250 31883 33275 38720 42592 44000 48400 53240 60500 63766 66550 85184 88000 96800 106480 121000 127532 133100 159415 166375 193600 212960 242000 255064 266200 318830 332750 350713 425920 484000 510128 532400 637660 665500 701426 797075 968000 1020256 1064800 1275320 1331000 1402852 1594150 1753565 2040512 2129600 2550640 2662000 2805704 3188300 3507130 3857843 3985375 5101280 5324000 5611408 6376600 7014260 7715686 7970750 8767825 10202560 10648000 11222816 12753200 14028520 15431372 15941500 17535650 19289215 22445632 25506400 28057040 30862744 31883000 35071300 38578430 42436273 43839125 51012800 56114080 61725488 63766000 70142600 77156860 84872546 87678250 96446075 112228160 123450976 127532000 140285200 154313720 169745092 175356500 192892150 212181365 246901952 255064000 280570400 308627440 339490184 350713000 385784300 424362730 482230375 561140800 617254880 678980368 701426000 771568600 848725460 964460750 1016525689 1060906825 1234509760 1357960736 1402852000 1543137200 1697450920 1928921500 2033051378 2121813650 2715921472 2805704000 3086274400 3394901840 3857843000 4066102756 4243627300 5082628445 5304534125 6172548800 6789803680 7715686000 8132205512 8487254600 10165256890 10609068250 11181782579 13579607360 15431372000 16264411024 16974509200 20330513780 21218136500 22363565158 25413142225 30862744000 32528822048 33949018400 40661027560 42436273000 44727130316 50826284450 55908912895 65057644096 67898036800 81322055120 84872546000 89454260632 101652568900 111817825790 122999608369 127065711125 162644110240 169745092000 178908521264 203305137800 223635651580 245999216738 254131422250 279544564475 325288220480 339490184000 357817042528 406610275600 447271303160 491998433476 508262844500 559089128950 614998041845 715634085056 813220551200 894542606320 983996866952 1016525689000 1118178257900 1229996083690 1352995692059 1397722822375 1626441102400 1789085212640 1967993733904 2033051378000 2236356515800 2459992167380 2705991384118 2795445644750 3074990209225 3578170425280 3935987467808 4066102756000 4472713031600 4919984334760 5411982768236 5590891289500 6149980418450 6764978460295 7871974935616 8132205512000 8945426063200 9839968669520 10823965536472 11181782579000 12299960836900 13529956920590 15374951046125 17890852126400 19679937339040 21647931072944 22363565158000 24599921673800 27059913841180 30749902092250 33824892301475 39359874678080 43295862145888 44727130316000 49199843347600 54119827682360 61499804184500 67649784602950 86591724291776 89454260632000 98399686695200 108239655364720 122999608369000 135299569205900 169124461507375 196799373390400 216479310729440 245999216738000 270599138411800 338248923014750 432958621458880 491998433476000 541198276823600 676497846029500 983996866952000 1082396553647200 1352995692059000 2164793107294400 2705991384118000 5411982768236000 10823965536472000
• Sum of all divisors σ(n): 345119154250363812064
• Sum of proper divisors (its aliquot sum) s(n): 18661051027036064
• 345100493199336776000 is a deficient number, because the sum of its proper divisors (18661051027036064) is less than itself. Its deficiency is 345081832148309739936

Bases of 345100493199336776000

• Binary: 100101011010100111011001111100010010011011110100100111010000101000000₂
• Hexadecimal: 0x12B53B3E24DE93A140
• Base-36: 20TWTN2ZOKI8U8

Squares and roots of 345100493199336776000

• 345100493199336776000 squared (345100493199336776000²) is 119094350406425488380996286266074176000000
• 345100493199336776000 cubed (345100493199336776000³) is 41099519062512070257878736759684586684421072420696576000000000
• The square root of 345100493199336776000 is 18576880610.0307587675
• 345100493199336776000 is a perfect cube number. Its cube root is 7014260

Scales and comparisons

• 345,100,493,199,336,776,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 345,100,493,199,336,776,000 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 345100493199336776000 cubic inches would be around 584521.7 feet tall.

Recreational maths with 345100493199336776000

• 345100493199336776000 backwards is 000677633991394001543
• 345100493199336776000 is a Harshad number.
• The number of decimal digits it has is: 21
• The sum of 345100493199336776000's digits is 80
• More coming soon!