3428593347200

Names of 3428593347200

• Cardinal: 3428593347200 can be written as Three trillion, four hundred twenty-eight billion, five hundred ninety-three million, three hundred forty-seven thousand, two hundred.

Scientific notation

• Scientific notation: 3.4285933472 × 10¹²

Factors of 3428593347200

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 2669

Divisors of 3428593347200

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 17 20 25 28 29 32 34 35 40 49 50 56 58 64 68 70 80 85 98 100 112 116 119 128 136 140 145 160 170 175 196 200 203 224 232 238 245 272 280 289 290 320 340 350 392 400 406 425 448 464 476 490 493 544 560 578 580 595 640 680 700 725 784 800 812 833 850 896 928 952 980 986 1015 1088 1120 1156 1160 1190 1225 1360 1400 1421 1445 1450 1568 1600 1624 1666 1700 1856 1904 1960 1972 2023 2030 2176 2240 2312 2320 2380 2450 2465 2609 2720 2800 2842 2890 2900 2975 3136 3200 3248 3332 3400 3451 3712 3808 3920 3944 4046 4060 4165 4480 4624 4640 4760 4900 4930 5075 5218 5440 5600 5684 5780 5800 5950 6272 6496 6664 6800 6902 7105 7225 7616 7840 7888 8092 8120 8330 8381 9248 9280 9520 9800 9860 10115 10150 10436 10880 11200 11368 11560 11600 11900 12325 12992 13045 13328 13600 13804 14161 14210 14450 15232 15680 15776 16184 16240 16660 16762 17255 18263 18496 18560 19040 19600 19720 20230 20300 20825 20872 22400 22736 23120 23200 23800 24157 24650 25984 26090 26656 27200 27608 28322 28420 28900 31360 31552 32368 32480 33320 33524 34510 35525 36526 36992 38080 39200 39440 40460 40600 41650 41744 41905 44353 45472 46240 46400 47600 48314 49300 50575 52180 53312 54400 55216 56644 56840 57800 58667 63104 64736 64960 65225 66640 67048 69020 70805 71050 73052 75661 76160 78400 78880 80920 81200 83300 83488 83810 86275 88706 90944 91315 92480 92800 95200 96628 98600 101150 104360 106624 110432 113288 113680 115600 117334 120785 127841 129472 129920 130450 133280 134096 138040 141610 142100 146104 151322 156800 157760 161840 162400 166600 166976 167620 172550 177412 181888 182630 184960 190400 193256 197200 202300 208720 209525 220864 221765 226576 227360 231200 234668 241570 255682 258944 260900 266560 268192 276080 283220 284200 292208 293335 302644 310471 315520 323680 324800 333200 333952 335240 345100 354025 354824 365260 378305 380800 386512 394400 404600 410669 417440 419050 441728 443530 453152 454720 456575 462400 469336 483140 511364 521800 529627 533120 536384 552160 566440 568400 584416 586670 603925 605288 620942 639205 647360 649600 666400 670480 690200 708050 709648 730520 754001 756610 773024 788800 809200 821338 834880 838100 887060 906304 909440 913150 924800 938672 966280 1022728 1043600 1059254 1072768 1104320 1108825 1132880 1136800 1168832 1173340 1207850 1210576 1241884 1278410 1286237 1294720 1332800 1340960 1380400 1416100 1419296 1461040 1466675 1508002 1513220 1546048 1552355 1577600 1618400 1642676 1669760 1676200 1774120 1812608 1826300 1877344 1891525 1932560 2045456 2053345 2087200 2118508 2173297 2208640 2217650 2265760 2273600 2337664 2346680 2415700 2421152 2483768 2556820 2572474 2648135 2665600 2681920 2760800 2832200 2838592 2922080 2933350 3016004 3026440 3092096 3104710 3196025 3236800 3285352 3352400 3548240 3652600 3707389 3754688 3770005 3783050 3865120 4090912 4106690 4174400 4237016 4346594 4435300 4531520 4547200 4693360 4831400 4842304 4967536 5113640 5144948 5278007 5296270 5363840 5521600 5664400 5677184 5844160 5866700 6032008 6052880 6209420 6392050 6431185 6473600 6570704 6704800 7096480 7305200 7414778 7509376 7540010 7566100 7730240 7761775 8181824 8213380 8348800 8474032 8693188 8870600 9003659 9063040 9386720 9662800 9684608 9935072 10227280 10266725 10289896 10556014 10592540 10866485 11043200 11328800 11688320 11733400 12064016 12105760 12418840 12784100 12862370 13141408 13240675 13409600 14192960 14610400 14829556 15080020 15132200 15460480 15523550 16363648 16426760 16948064 17386376 17741200 18007318 18536945 18773440 18850025 19325600 19870144 20454560 20533450 20579792 21112028 21185080 21732970 21866029 22657600 23466800 24128032 24211520 24837680 25568200 25724740 26282816 26390035 26481350 26819200 28385920 29220800 29659112 30160040 30264400 31047100 32155925 32853520 33896128 34772752 35482400 36014636 36946049 37073890 37546880 37700050 38651200 39740288 40909120 41066900 41159584 42224056 42370160 43465940 43732058 45018295 45315200 46933600 48256064 48423040 49675360 51136400 51449480 52565632 52780070 52962700 54332425 58441600 59318224 60320080 60528800 62094200 63025613 64311850 65707040 67792256 69545504 70964800 72029272 73892098 74147780 75400100 77302400 81818240 82133800 82319168 84448112 84740320 86931880 87464116 90036590 92684725 93867200 96512128 99350720 102272800 102898960 105560140 105925400 108664850 109330145 118636448 120640160 121057600 124188400 126051226 128623700 131414080 131950175 139091008 141929600 144058544 147784196 148295560 150800200 153062203 164267600 164638336 168896224 169480640 173863760 174928232 180073180 184730245 185369450 187734400 198701440 204545600 205797920 211120280 211850800 217329700 218660290 225091475 237272896 241280320 242115200 248376800 252102452 257247400 262828160 263900350 278182016 288117088 295568392 296591120 301600400 306124406 315128065 328535200 337792448 338961280 347727520 349856464 360146360 369460490 370738900 409091200 411595840 422240560 423701600 434659400 437320580 450182950 474545792 482560640 496753600 504204904 514494800 527800700 546650725 576234176 591136784 593182240 603200800 612248812 630256130 657070400 675584896 695455040 699712928 720292720 738920980 741477800 765311015 823191680 844481120 847403200 869318800 874641160 900365900 923651225 993507200 1008409808 1028989600 1055601400 1071435421 1093301450 1152468352 1182273568 1186364480 1206401600 1224497624 1260512260 1314140800 1390910080 1399425856 1440585440 1477841960 1482955600 1530622030 1575640325 1688962240 1694806400 1738637600 1749282320 1800731800 1847302450 2016819616 2057979200 2111202800 2142870842 2186602900 2364547136 2372728960 2412803200 2448995248 2521024520 2798851712 2881170880 2955683920 2965911200 3061244060 3151280650 3377924480 3477275200 3498564640 3601463600 3694604900 3826555075 4033639232 4115958400 4222405600 4285741684 4373205800 4729094272 4897990496 5042049040 5357177105 5762341760 5911367840 5931822400 6122488120 6302561300 6954550400 6997129280 7202927200 7389209800 7653110150 8067278464 8444811200 8571483368 8746411600 9795980992 10084098080 10714354210 11822735680 11863644800 12244976240 12605122600 13994258560 14405854400 14778419600 15306220300 16889622400 17142966736 17492823200 19591961984 20168196160 21428708420 23645471360 24489952480 25210245200 26785885525 28811708800 29556839200 30612440600 34285933472 34985646400 40336392320 42857416840 48979904960 50420490400 53571771050 59113678400 61224881200 68571866944 69971292800 85714833680 97959809920 100840980800 107143542100 118227356800 122449762400 137143733888 171429667360 201681961600 214287084200 244899524800 342859334720 428574168400 489799049600 685718669440 857148336800 1714296673600 3428593347200
• Sum of all divisors σ(n): 10831207288500
• Sum of proper divisors (its aliquot sum) s(n): 7402613941300
• 3428593347200 is an abundant number, because the sum of its proper divisors (7402613941300) is greater than itself. Its abundance is 3974020594100

Bases of 3428593347200

• Binary: 110001111001001000000101101010101010000000₂
• Hexadecimal: 0x31E4816AA80
• Base-36: 17R2NYE0W

Squares and roots of 3428593347200

• 3428593347200 squared (3428593347200²) is 11755252340464099747840000
• 3428593347200 cubed (3428593347200³) is 40303979969172441755881421570048000000
• The square root of 3428593347200 is 1851646.1182418199
• The cube root of 3428593347200 is 15078.9809554193

Scales and comparisons

• 3,428,593,347,200 seconds is equal to 109,018 years, 34 weeks, 3 days, 8 hours, 53 minutes, 20 seconds.
• To count from 1 to 3,428,593,347,200 would take you about two hundred seventy-two thousand, five hundred forty-six 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 3428593347200 cubic inches would be around 1256.6 feet tall.

Recreational maths with 3428593347200

• 3428593347200 backwards is 0027433958243
• 3428593347200 is a Harshad number.
• The number of decimal digits it has is: 13
• The sum of 3428593347200's digits is 50
• More coming soon!