146426133772800

Names of 146426133772800

• Cardinal: 146426133772800 can be written as One hundred forty-six trillion, four hundred twenty-six billion, one hundred thirty-three million, seven hundred seventy-two thousand, eight hundred.

Scientific notation

• Scientific notation: 1.464261337728 × 10¹⁴

Factors of 146426133772800

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 670325

Divisors of 146426133772800

• Number of divisors d(n): 720
• 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 96 100 105 112 120 126 128 140 144 150 160 168 175 180 192 200 210 224 225 240 252 256 271 280 288 300 315 320 336 350 360 384 400 420 448 450 480 504 512 525 542 560 576 600 630 640 672 700 720 768 800 813 840 896 900 960 1008 1050 1084 1120 1152 1200 1260 1280 1344 1355 1400 1440 1536 1575 1600 1626 1680 1792 1800 1897 1920 2016 2100 2168 2240 2304 2400 2439 2520 2560 2688 2710 2800 2880 3150 3200 3252 3360 3584 3600 3794 3840 4032 4065 4200 4336 4480 4608 4800 4878 5040 5376 5420 5600 5691 5760 6300 6400 6504 6720 6775 7200 7588 7680 8064 8130 8400 8672 8960 9485 9600 9756 10080 10752 10840 11200 11382 11520 12195 12600 12800 13008 13440 13550 14400 15176 16128 16260 16800 17073 17344 17920 18970 19200 19512 20160 20325 21680 22400 22764 23040 24390 25200 26016 26880 27100 28455 28800 30352 32256 32520 33600 34146 34688 37940 38400 39024 40320 40650 43360 44800 45528 47425 48780 50400 52032 53760 54200 56910 57600 60704 60975 65040 67200 68292 69376 75880 78048 80640 81300 85365 86720 89600 91056 94850 97560 100800 104064 108400 113820 115200 121408 121950 130080 134400 136584 138752 142275 151760 156096 161280 162600 170730 173440 182112 189700 195120 201600 208128 216800 227640 242816 243900 260160 268800 273168 284550 303520 312192 325200 341460 346880 364224 379400 390240 403200 416256 426825 433600 455280 485632 487800 520320 546336 569100 607040 624384 650400 670037 682920 693760 728448 758800 780480 806400 853650 867200 910560 971264 975600 1040640 1092672 1138200 1214080 1248768 1300800 1340074 1365840 1456896 1517600 1560960 1707300 1734400 1821120 1951200 2010111 2081280 2185344 2276400 2428160 2601600 2680148 2731680 2913792 3035200 3121920 3350185 3414600 3468800 3642240 3902400 4020222 4370688 4552800 4690259 4856320 5203200 5360296 5463360 6030333 6070400 6243840 6700370 6829200 7284480 7804800 8040444 8741376 9105600 9380518 10050555 10406400 10720592 10926720 12060666 12140800 13400740 13658400 14070777 14568960 15609600 16080888 16750925 18211200 18761036 20101110 21441184 21853440 23451295 24121332 24281600 26801480 27316800 28141554 30151665 31219200 32161776 33501850 36422400 37522072 40202220 42212331 42882368 43706880 46902590 48242664 50252775 53602960 54633600 56283108 60303330 64323552 67003700 70353885 72844800 75044144 80404440 84424662 85764736 93805180 96485328 100505550 107205920 109267200 112566216 117256475 120606660 128647104 134007400 140707770 150088288 150758325 160808880 168849324 171529472 181580027 187610360 192970656 201011100 211061655 214411840 218534400 225132432 234512950 241213320 257294208 268014800 281415540 300176576 301516650 321617760 337698648 343058944 351769425 363160054 375220720 385941312 402022200 422123310 428823680 450264864 469025900 482426640 514588416 536029600 544740081 562831080 600353152 603033300 643235520 675397296 703538850 726320108 750441440 771882624 804044400 844246620 857647360 900529728 907900135 938051800 964853280 1029176832 1055308275 1072059200 1089480162 1125662160 1200706304 1206066600 1271060189 1286471040 1350794592 1407077700 1452640216 1500882880 1543765248 1608088800 1634220243 1688493240 1715294720 1801059456 1815800270 1876103600 1929706560 2110616550 2144118400 2178960324 2251324320 2401412608 2412133200 2542120378 2572942080 2701589184 2723700405 2814155400 2905280432 3001765760 3087530496 3216177600 3268440486 3376986480 3602118912 3631600540 3752207200 3813180567 3859413120 4221233100 4288236800 4357920648 4502648640 4539500675 4824266400 5084240756 5145884160 5403178368 5447400810 5628310800 5810560864 6003531520 6355300945 6432355200 6536880972 6753972960 7204237824 7263201080 7504414400 7626361134 7718826240 8171101215 8442466200 8576473600 8715841296 9005297280 9079001350 9648532800 10168481512 10806356736 10894801620 11256621600 11439541701 11621121728 12007063040 12710601890 12864710400 13073761944 13507945920 13618502025 14526402160 15008828800 15252722268 15437652480 16342202430 16884932400 17431682592 18010594560 18158002700 19065902835 19297065600 20336963024 21612713472 21789603240 22513243200 22879083402 23242243456 25421203780 25729420800 26147523888 27015891840 27237004050 29052804320 30017657600 30505444536 31776504725 32684404860 33769864800 34863365184 36021189120 36316005400 38131805670 38594131200 40673926048 40855506075 43579206480 45026486400 45758166804 46484486912 50842407560 52295047776 54031783680 54474008100 57197708505 58105608640 60035315200 61010889072 63553009450 65368809720 67539729600 69726730368 72632010800 76263611340 77188262400 81347852096 81711012150 87158412960 90052972800 91516333608 92968973824 95329514175 101684815120 104590095552 108063567360 108948016200 114395417010 116211217280 122021778144 127106018900 130737619440 135079459200 139453460736 145264021600 152527222680 162695704192 163422024300 174316825920 180105945600 183032667216 190659028350 203369630240 209180191104 217896032400 228790834020 232422434560 244043556288 254212037800 261475238880 270158918400 278906921472 285988542525 290528043200 305054445360 325391408384 326844048600 348633651840 366065334432 381318056700 406739260480 418360382208 435792064800 457581668040 464844869120 488087112576 508424075600 522950477760 540317836800 571977085050 581056086400 610108890720 650782816768 653688097200 697267303680 732130668864 762636113400 813478520960 836720764416 871584129600 915163336080 976174225152 1016848151200 1045900955520 1143954170100 1162112172800 1220217781440 1307376194400 1394534607360 1464261337728 1525272226800 1626957041920 1743168259200 1830326672160 1952348450304 2033696302400 2091801911040 2287908340200 2324224345600 2440435562880 2614752388800 2928522675456 3050544453600 3253914083840 3486336518400 3660653344320 4067392604800 4183603822080 4575816680400 4880871125760 5229504777600 5857045350912 6101088907200 6972673036800 7321306688640 8134785209600 9151633360800 9761742251520 10459009555200 12202177814400 14642613377280 16269570419200 18303266721600 20918019110400 24404355628800 29285226754560 36606533443200 48808711257600 73213066886400 146426133772800
• Sum of all divisors σ(n): 601089310179072
• Sum of proper divisors (its aliquot sum) s(n): 454663176406272
• 146426133772800 is an abundant number, because the sum of its proper divisors (454663176406272) is greater than itself. Its abundance is 308237042633472

Bases of 146426133772800

• Binary: 100001010010110001111101101100000111101000000000₂
• Hexadecimal: 0x852C7DB07A00
• Base-36: 1FWJ8JFR40

Squares and roots of 146426133772800

• 146426133772800 squared (146426133772800²) is 21440612651649920762019840000
• 146426133772800 cubed (146426133772800³) is 3139466016301279424134037205367652352000000
• The square root of 146426133772800 is 12100666.6664609847
• The cube root of 146426133772800 is 52707.5543365317

Scales and comparisons

• 146,426,133,772,800 seconds is equal to 4,655,898 years, 6 weeks, 4 days, 16 hours.
• To count from 1 to 146,426,133,772,800 would take you about eleven million, six hundred thirty-nine thousand, seven hundred forty-five 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 146426133772800 cubic inches would be around 4392.3 feet tall.

Recreational maths with 146426133772800

• 146426133772800 backwards is 008277331624641
• The number of decimal digits it has is: 15
• The sum of 146426133772800's digits is 54
• More coming soon!