456142977110016

Names of 456142977110016

• Cardinal: 456142977110016 can be written as Four hundred fifty-six trillion, one hundred forty-two billion, nine hundred seventy-seven million, one hundred ten thousand and sixteen.

Scientific notation

• Scientific notation: 4.56142977110016 × 10¹⁴

Factors of 456142977110016

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 5309

Divisors of 456142977110016

• Number of divisors d(n): 585
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 64 72 81 84 96 98 108 112 126 128 144 147 162 168 189 192 196 216 224 252 256 288 294 324 336 378 384 392 432 441 448 504 512 567 576 588 648 672 756 768 784 864 882 896 1008 1024 1134 1152 1176 1296 1323 1344 1512 1536 1568 1728 1764 1792 2016 2048 2268 2304 2352 2592 2646 2688 3024 3072 3136 3456 3528 3584 3969 4032 4096 4536 4608 4704 5184 5292 5297 5376 6048 6144 6272 6912 7056 7168 7938 8064 9072 9216 9408 10368 10584 10594 10752 12096 12288 12544 13824 14112 14336 15876 15891 16128 18144 18432 18816 20736 21168 21188 21504 24192 25088 27648 28224 28672 31752 31782 32256 36288 36864 37079 37632 41472 42336 42376 43008 47673 48384 50176 55296 56448 63504 63564 64512 72576 74158 75264 82944 84672 84752 86016 95346 96768 100352 110592 111237 112896 127008 127128 129024 143019 145152 148316 150528 165888 169344 169504 190692 193536 200704 222474 225792 254016 254256 258048 259553 286038 290304 296632 301056 331776 333711 338688 339008 381384 387072 429057 444948 451584 508032 508512 519106 572076 580608 593264 602112 667422 677376 678016 762768 774144 778659 858114 889896 903168 1001133 1016064 1017024 1038212 1144152 1161216 1186528 1334844 1354752 1356032 1525536 1557318 1716228 1779792 1806336 2002266 2032128 2034048 2076424 2288304 2322432 2335977 2373056 2669688 2709504 2712064 3003399 3051072 3114636 3432456 3559584 4004532 4064256 4068096 4152848 4576608 4671954 4746112 5339376 5419008 5424128 6006798 6102144 6229272 6864912 7007931 7119168 8009064 8128512 8136192 8305696 9153216 9343908 9492224 10678752 10848256 12013596 12204288 12458544 13729824 14015862 14238336 16018128 16257024 16272384 16611392 18306432 18687816 18984448 21023793 21357504 21696512 24027192 24408576 24917088 27459648 28031724 28058209 28476672 32036256 32544768 33222784 36612864 37375632 37968896 42047586 42715008 48054384 48817152 49834176 54919296 56063448 56116418 56953344 64072512 65089536 66445568 73225728 74751264 75937792 84095172 84174627 85430016 96108768 97634304 99668352 109838592 112126896 112232836 113906688 128145024 132891136 146451456 149502528 151875584 168190344 168349254 170860032 192217536 195268608 196407463 199336704 219677184 224253792 224465672 227813376 252523881 256290048 265782272 292902912 299005056 336380688 336698508 341720064 384435072 392814926 398673408 439354368 448507584 448931344 455626752 505047762 512580096 531564544 585805824 589222389 598010112 672761376 673397016 683440128 757571643 768870144 785629852 797346816 878708736 897015168 897862688 1010095524 1025160192 1063129088 1178444778 1196020224 1345522752 1346794032 1366880256 1374852241 1515143286 1537740288 1571259704 1594693632 1757417472 1767667167 1794030336 1795725376 2020191048 2050320384 2272714929 2356889556 2392040448 2691045504 2693588064 2749704482 3030286572 3075480576 3142519408 3189387264 3535334334 3588060672 3591450752 4040382096 4100640768 4124556723 4545429858 4713779112 4784080896 5303001501 5382091008 5387176128 5499408964 6060573144 6150961152 6285038816 7070668668 7176121344 7182901504 8080764192 8249113446 9090859716 9427558224 9568161792 10606003002 10764182016 10774352256 10998817928 12121146288 12301922304 12373670169 12570077632 14141337336 14352242688 14365803008 15909004503 16161528384 16498226892 18181719432 18855116448 21212006004 21528364032 21548704512 21997635856 24242292576 24747340338 25140155264 28282674672 28704485376 28731606016 31818009006 32323056768 32996453784 36363438864 37121010507 37710232896 42424012008 43056728064 43097409024 43995271712 48484585152 49494680676 50280310528 56565349344 57463212032 63636018012 64646113536 65992907568 72726877728 74242021014 75420465792 84848024016 86113456128 86194818048 87990543424 96969170304 98989361352 100560621056 111363031521 113130698688 114926424064 127272036024 129292227072 131985815136 145453755456 148484042028 150840931584 169696048032 172389636096 175981086848 193938340608 197978722704 201121242112 222726063042 226261397376 254544072048 258584454144 263971630272 290907510912 296968084056 301681863168 339392096064 344779272192 351962173696 387876681216 395957445408 402242484224 445452126084 452522794752 509088144096 517168908288 527943260544 581815021824 593936168112 603363726336 678784192128 703924347392 775753362432 791914890816 804484968448 890904252168 905045589504 1018176288192 1034337816576 1055886521088 1163630043648 1187872336224 1206727452672 1357568384256 1407848694784 1551506724864 1583829781632 1781808504336 1810091179008 2036352576384 2111773042176 2327260087296 2375744672448 2413454905344 2715136768512 2815697389568 3103013449728 3167659563264 3563617008672 3620182358016 4072705152768 4223546084352 4654520174592 4751489344896 5430273537024 5631394779136 6335319126528 7127234017344 7240364716032 8145410305536 8447092168704 9309040349184 9502978689792 10860547074048 12670638253056 14254468034688 16290820611072 16894184337408 19005957379584 21721094148096 25341276506112 28508936069376 32581641222144 38011914759168 50682553012224 57017872138752 65163282444288 76023829518336 114035744277504 152047659036672 228071488555008 456142977110016
• Sum of all divisors σ(n): 1585400877717789
• Sum of proper divisors (its aliquot sum) s(n): 1129257900607773
• 456142977110016 is an abundant number, because the sum of its proper divisors (1129257900607773) is greater than itself. Its abundance is 673114923497757

Bases of 456142977110016

• Binary: 1100111101101110000010000000111100001000000000000₂
• Hexadecimal: 0x19EDC101E1000
• Base-36: 4HOT6VB400

Squares and roots of 456142977110016

• 456142977110016 squared (456142977110016²) is 208066415566788580527367520256
• 456142977110016 cubed (456142977110016³) is 94908034233244720226353463137978507220484096
• 456142977110016 is a perfect square number. Its square root is 21357504
• The cube root of 456142977110016 is 76978.0663400143

Scales and comparisons

• 456,142,977,110,016 seconds is equal to 14,503,935 years, 37 weeks, 6 days, 10 hours, 33 minutes, 36 seconds.
• To count from 1 to 456,142,977,110,016 would take you about thirty-six million, two hundred fifty-nine thousand, eight hundred thirty-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 456142977110016 cubic inches would be around 6414.8 feet tall.

Recreational maths with 456142977110016

• 456142977110016 backwards is 610011779241654
• 456142977110016 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 456142977110016's digits is 54
• More coming soon!