3456950407680000

Names of 3456950407680000

• Cardinal: 3456950407680000 can be written as Three quadrillion, four hundred fifty-six trillion, nine hundred fifty billion, four hundred seven million, six hundred eighty thousand.

Scientific notation

• Scientific notation: 3.45695040768 × 10¹⁵

Factors of 3456950407680000

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 24
• Sum of prime factors: 138

Divisors of 3456950407680000

• Number of divisors d(n): 7020
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 25 28 30 31 32 33 35 40 42 44 48 49 50 55 56 60 62 64 66 70 75 77 79 80 84 88 93 96 98 100 105 110 112 120 121 124 125 128 132 140 147 150 154 155 158 160 165 168 175 176 186 192 196 200 210 217 220 224 231 237 240 242 245 248 250 256 264 275 280 294 300 308 310 316 320 330 336 341 350 352 363 372 375 384 385 392 395 400 420 434 440 448 462 465 474 480 484 490 496 500 512 525 528 539 550 553 560 588 600 605 616 620 625 632 640 651 660 672 682 700 704 726 735 744 750 768 770 775 784 790 800 825 840 847 868 869 875 880 896 924 930 948 960 961 968 980 992 1000 1023 1024 1050 1056 1078 1085 1100 1106 1120 1155 1176 1185 1200 1210 1225 1232 1240 1250 1264 1280 1302 1320 1344 1364 1375 1400 1408 1452 1470 1488 1500 1519 1536 1540 1550 1568 1580 1600 1617 1650 1659 1680 1694 1705 1736 1738 1750 1760 1792 1815 1848 1860 1875 1896 1920 1922 1925 1936 1960 1975 1984 2000 2046 2048 2100 2112 2156 2170 2200 2212 2240 2310 2325 2352 2370 2387 2400 2420 2449 2450 2464 2480 2500 2528 2541 2560 2604 2607 2625 2640 2688 2695 2728 2750 2765 2800 2816 2883 2904 2940 2976 3000 3025 3038 3072 3080 3100 3136 3160 3200 3234 3255 3300 3318 3360 3388 3410 3472 3476 3500 3520 3584 3630 3675 3696 3720 3750 3751 3792 3840 3844 3850 3871 3872 3875 3920 3950 3968 4000 4092 4096 4125 4200 4224 4235 4312 4340 4345 4375 4400 4424 4480 4557 4620 4650 4704 4740 4774 4800 4805 4840 4898 4900 4928 4960 5000 5056 5082 5115 5120 5208 5214 5250 5280 5376 5390 5425 5456 5500 5530 5600 5632 5766 5775 5808 5880 5925 5929 5952 6000 6050 6076 6083 6125 6144 6160 6200 6272 6320 6400 6468 6510 6600 6636 6720 6727 6776 6820 6875 6944 6952 7000 7040 7161 7168 7260 7347 7350 7392 7440 7500 7502 7584 7595 7680 7688 7700 7742 7744 7750 7840 7900 7936 8000 8085 8184 8250 8295 8400 8448 8470 8525 8624 8680 8690 8750 8800 8848 8960 9075 9114 9240 9300 9408 9480 9548 9559 9600 9610 9625 9680 9796 9800 9856 9875 9920 10000 10112 10164 10230 10240 10416 10428 10500 10560 10571 10752 10780 10850 10912 11000 11060 11200 11253 11264 11532 11550 11613 11616 11625 11760 11850 11858 11904 11935 12000 12100 12152 12166 12245 12250 12288 12320 12400 12544 12640 12705 12800 12936 13020 13035 13125 13200 13272 13440 13454 13475 13552 13640 13750 13825 13888 13904 14000 14080 14322 14336 14415 14520 14694 14700 14784 14880 15000 15004 15125 15168 15190 15360 15376 15400 15484 15488 15500 15680 15800 15872 16000 16170 16275 16368 16500 16590 16709 16800 16896 16940 17050 17143 17248 17360 17380 17500 17600 17696 17787 17920 18150 18228 18249 18375 18480 18600 18755 18816 18960 19096 19118 19200 19220 19250 19355 19360 19375 19592 19600 19712 19750 19840 20000 20181 20224 20328 20460 20480 20625 20832 20856 21000 21120 21142 21175 21504 21560 21700 21725 21824 22000 22120 22400 22506 22528 22785 23064 23100 23226 23232 23250 23520 23700 23716 23808 23870 24000 24025 24200 24304 24332 24490 24500 24640 24800 25088 25280 25410 25575 25600 25872 26040 26070 26250 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314268218880000 345695040768000 432118800960000 493850058240000 576158401280000 691390081536000 864237601920000 1152316802560000 1728475203840000 3456950407680000
• Sum of all divisors σ(n): 15410391896813760
• Sum of proper divisors (its aliquot sum) s(n): 11953441489133760
• 3456950407680000 is an abundant number, because the sum of its proper divisors (11953441489133760) is greater than itself. Its abundance is 8496491081453760

Bases of 3456950407680000

• Binary: 1100010010000001001111111101000011100101000000000000₂
• Hexadecimal: 0xC4813FD0E5000
• Base-36: Y1DX3CX1XC

Squares and roots of 3456950407680000

• 3456950407680000 squared (3456950407680000²) is 11950506121158918202982400000000
• 3456950407680000 cubed (3456950407680000³) is 41312307007522657755867780671864832000000000000
• The square root of 3456950407680000 is 58795836.6526066199
• The cube root of 3456950407680000 is 151204.3839606797

Scales and comparisons

• 3,456,950,407,680,000 seconds is equal to 109,920,329 years, 47 weeks, 3 days, 21 hours, 20 minutes.
• To count from 1 to 3,456,950,407,680,000 would take you about three hundred twenty-nine million, seven hundred sixty thousand, nine hundred eighty-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 3456950407680000 cubic inches would be around 12600.4 feet tall.

Recreational maths with 3456950407680000

• 3456950407680000 backwards is 0000867040596543
• The number of decimal digits it has is: 16
• The sum of 3456950407680000's digits is 57
• More coming soon!