34830468086400

Names of 34830468086400

• Cardinal: 34830468086400 can be written as Thirty-four trillion, eight hundred thirty billion, four hundred sixty-eight million, eighty-six thousand, four hundred.

Scientific notation

• Scientific notation: 3.48304680864 × 10¹³

Factors of 34830468086400

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 1100621

Divisors of 34830468086400

• Number of divisors d(n): 576
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 32 35 36 40 42 45 48 50 56 60 63 64 70 72 75 80 84 90 96 100 105 112 120 126 128 140 144 150 157 160 168 175 180 192 200 210 224 225 240 252 280 288 300 314 315 320 336 350 360 384 400 420 448 450 471 480 504 525 560 576 600 628 630 640 672 700 720 785 800 840 896 900 942 960 1008 1050 1099 1120 1152 1200 1256 1260 1344 1400 1413 1440 1570 1575 1600 1680 1800 1884 1920 2016 2100 2198 2240 2355 2400 2512 2520 2688 2800 2826 2880 3140 3150 3200 3297 3360 3600 3768 3925 4032 4200 4396 4480 4710 4800 5024 5040 5495 5600 5652 5760 6280 6300 6594 6720 7065 7200 7536 7850 8064 8400 8792 9420 9600 9891 10048 10080 10990 11200 11304 11775 12560 12600 13188 13440 14130 14400 15072 15700 16485 16800 17584 18840 19782 20096 20160 21980 22400 22608 23550 25120 25200 26376 27475 28260 28800 30144 31400 32970 33600 35168 35325 37680 39564 40320 43960 45216 47100 49455 50240 50400 52752 54950 56520 60288 62800 65940 67200 70336 70650 75360 79128 82425 87920 90432 94200 98910 100480 100800 105504 109900 113040 125600 131880 140672 141300 150720 158256 164850 175840 180864 188400 197820 201600 211008 219800 226080 247275 251200 263760 282600 301440 316512 329700 351680 376800 395640 422016 439600 452160 494550 502400 527520 565200 633024 659400 703360 753600 791280 879200 904320 989100 1055040 1100447 1130400 1266048 1318800 1507200 1582560 1758400 1978200 2110080 2200894 2260800 2637600 3165120 3301341 3516800 3956400 4401788 4521600 5275200 5502235 6330240 6602682 7703129 7912800 8803576 9904023 10550400 11004470 13205364 15406258 15825600 16506705 17607152 19808046 22008940 23109387 26410728 27511175 30812516 31651200 33013410 35214304 38515645 39616092 44017880 46218774 49520115 52821456 55022350 61625032 66026820 69328161 70428608 77031290 79232184 82533525 88035760 92437548 99040230 105642912 110044700 115546935 123250064 132053640 138656322 140857216 154062580 158464368 165067050 172770179 176071520 184875096 192578225 198080460 211285824 220089400 231093870 246500128 247600575 264107280 277312644 308125160 316928736 330134100 345540358 346640805 352143040 369750192 385156450 396160920 422571648 440178800 462187740 493000256 495201150 518310537 528214560 554625288 577734675 616250320 633857472 660268200 691080716 693281610 704286080 739500384 770312900 792321840 863850895 880357600 924375480 986000512 990402300 1036621074 1056429120 1109250576 1155469350 1209391253 1232500640 1267714944 1320536400 1382161432 1386563220 1479000768 1540625800 1554931611 1584643680 1727701790 1733204025 1760715200 1848750960 1980804600 2073242148 2112858240 2218501152 2310938700 2418782506 2465001280 2591552685 2641072800 2764322864 2773126440 2958001536 3081251600 3109863222 3169287360 3455403580 3466408050 3521430400 3628173759 3697501920 3961609200 4146484296 4319254475 4437002304 4621877400 4837565012 4930002560 5183105370 5282145600 5528645728 5546252880 6046956265 6162503200 6219726444 6338574720 6910807160 6932816100 7256347518 7395003840 7774658055 7923218400 8292968592 8638508950 8874004608 9243754800 9675130024 10366210740 10564291200 10884521277 11057291456 11092505760 12093912530 12325006400 12439452888 12957763425 13821614320 13865632200 14512695036 14790007680 15549316110 15846436800 16585937184 17277017900 18140868795 18487509600 19350260048 20732421480 21769042554 22114582912 22185011520 24187825060 24650012800 24878905776 25915526850 27643228640 27731264400 29025390072 30234781325 31098632220 31692873600 33171874368 34554035800 36281737590 36975019200 38700520096 38873290275 41464842960 43538085108 44370023040 48375650120 49757811552 51831053700 54422606385 55286457280 55462528800 58050780144 60469562650 62197264440 66343748736 69108071600 72563475180 73950038400 77401040192 77746580550 82929685920 87076170216 90704343975 96751300240 99515623104 103662107400 108845212770 110572914560 110925057600 116101560288 120939125300 124394528880 138216143200 145126950360 154802080384 155493161100 165859371840 174152340432 181408687950 193502600480 199031246208 207324214800 217690425540 221850115200 232203120576 241878250600 248789057760 272113031925 276432286400 290253900720 310986322200 331718743680 348304680864 362817375900 387005200960 414648429600 435380851080 464406241152 483756501200 497578115520 544226063850 552864572800 580507801440 621972644400 696609361728 725634751800 774010401920 829296859200 870761702160 967513002400 995156231040 1088452127700 1161015602880 1243945288800 1393218723456 1451269503600 1658593718400 1741523404320 1935026004800 2176904255400 2322031205760 2487890577600 2902539007200 3483046808640 3870052009600 4353808510800 4975781155200 5805078014400 6966093617280 8707617021600 11610156028800 17415234043200 34830468086400
• Sum of all divisors σ(n): 142942648942080
• Sum of proper divisors (its aliquot sum) s(n): 108112180855680
• 34830468086400 is an abundant number, because the sum of its proper divisors (108112180855680) is greater than itself. Its abundance is 73281712769280

Bases of 34830468086400

• Binary: 111111010110110011001101011010111101010000000₂
• Hexadecimal: 0x1FAD99AD7A80
• Base-36: CCGW9EHS0

Squares and roots of 34830468086400

• 34830468086400 squared (34830468086400²) is 1213161507117728877864960000
• 34830468086400 cubed (34830468086400³) is 42254983157312982128123172648812544000000
• The square root of 34830468086400 is 5901734.3286867801
• The cube root of 34830468086400 is 32657.7633000555

Scales and comparisons

• 34,830,468,086,400 seconds is equal to 1,107,501 years, 7 weeks, 4 days, 16 hours.
• To count from 1 to 34,830,468,086,400 would take you about two million, seven hundred sixty-eight thousand, seven 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 34830468086400 cubic inches would be around 2721.5 feet tall.

Recreational maths with 34830468086400

• 34830468086400 backwards is 00468086403843
• The number of decimal digits it has is: 14
• The sum of 34830468086400's digits is 54
• More coming soon!