42148124688384

Names of 42148124688384

• Cardinal: 42148124688384 can be written as Forty-two trillion, one hundred forty-eight billion, one hundred twenty-four million, six hundred eighty-eight thousand, three hundred eighty-four.

Scientific notation

• Scientific notation: 4.2148124688384 × 10¹³

Factors of 42148124688384

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 34
• Sum of prime factors: 90

Divisors of 42148124688384

• Number of divisors d(n): 720
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 32 33 36 39 44 48 52 61 64 66 72 78 88 96 99 104 117 122 128 132 143 144 156 176 183 192 198 208 234 244 256 264 286 288 312 352 366 384 396 416 429 468 488 512 528 549 572 576 624 671 704 732 768 792 793 832 858 936 976 1024 1056 1098 1144 1152 1248 1287 1342 1408 1464 1536 1584 1586 1664 1716 1872 1952 2013 2048 2112 2196 2288 2304 2379 2496 2574 2684 2816 2928 3072 3168 3172 3328 3432 3744 3904 4026 4096 4224 4392 4576 4608 4758 4992 5148 5368 5632 5856 6039 6144 6336 6344 6656 6864 7137 7488 7808 8052 8192 8448 8723 8784 9152 9216 9516 9984 10296 10736 11264 11712 12078 12288 12672 12688 13312 13728 14274 14976 15616 16104 16384 16896 17446 17568 18304 18432 19032 19968 20592 21472 22528 23424 24156 24576 25344 25376 26169 26624 27456 28548 29952 31232 32208 32768 33792 34892 35136 36608 36864 38064 39936 41184 42944 45056 46848 48312 49152 50688 50752 52338 53248 54912 57096 59904 62464 64416 65536 67584 69784 70272 73216 73728 76128 78507 79872 82368 85888 90112 93696 96624 98304 101376 101504 104676 106496 109824 114192 119808 124928 128832 131072 135168 139568 140544 146432 147456 152256 157014 159744 164736 171776 180224 187392 193248 196608 202752 203008 209352 212992 219648 228384 239616 249856 257664 262144 270336 279136 281088 292864 294912 304512 314028 319488 329472 343552 360448 374784 386496 393216 405504 406016 418704 425984 439296 456768 479232 499712 515328 524288 540672 558272 562176 585728 589824 609024 628056 638976 658944 687104 720896 749568 772992 786432 811008 812032 837408 851968 878592 913536 958464 999424 1030656 1048576 1081344 1116544 1124352 1171456 1179648 1218048 1256112 1277952 1317888 1374208 1441792 1499136 1545984 1572864 1622016 1624064 1674816 1703936 1757184 1827072 1916928 1998848 2061312 2097152 2162688 2233088 2248704 2342912 2359296 2436096 2512224 2555904 2635776 2748416 2883584 2998272 3091968 3145728 3244032 3248128 3349632 3407872 3514368 3654144 3833856 3997696 4122624 4194304 4325376 4466176 4497408 4685824 4718592 4872192 5024448 5111808 5271552 5496832 5767168 5996544 6183936 6291456 6488064 6496256 6699264 6815744 7028736 7308288 7667712 7995392 8245248 8388608 8650752 8932352 8994816 9371648 9437184 9744384 10048896 10223616 10543104 10993664 11534336 11993088 12367872 12582912 12976128 12992512 13398528 13631488 14057472 14616576 15335424 15990784 16490496 16777216 17301504 17864704 17989632 18743296 18874368 19488768 20097792 20447232 21086208 21987328 23068672 23986176 24735744 25165824 25952256 25985024 26797056 27262976 28114944 29233152 30670848 31981568 32980992 33554432 34603008 35729408 35979264 37486592 37748736 38977536 40195584 40894464 42172416 43974656 46137344 47972352 49471488 50331648 51904512 51970048 53594112 54525952 56229888 58466304 61341696 63963136 65961984 67108864 69206016 71458816 71958528 74973184 75497472 77955072 80391168 81788928 84344832 87949312 92274688 95944704 98942976 100663296 103809024 103940096 107188224 109051904 112459776 116932608 122683392 127926272 131923968 134217728 138412032 142917632 143917056 149946368 150994944 155910144 160782336 163577856 168689664 175898624 184549376 191889408 197885952 201326592 207618048 207880192 214376448 218103808 224919552 233865216 245366784 255852544 263847936 268435456 276824064 285835264 287834112 299892736 301989888 311820288 321564672 327155712 337379328 351797248 369098752 383778816 395771904 402653184 415236096 415760384 428752896 436207616 449839104 467730432 490733568 511705088 527695872 536870912 553648128 571670528 575668224 599785472 603979776 623640576 643129344 654311424 674758656 703594496 738197504 767557632 791543808 805306368 830472192 831520768 857505792 872415232 899678208 935460864 981467136 1023410176 1055391744 1107296256 1143341056 1151336448 1199570944 1207959552 1247281152 1286258688 1308622848 1349517312 1407188992 1476395008 1535115264 1583087616 1610612736 1660944384 1663041536 1715011584 1744830464 1799356416 1870921728 1962934272 2046820352 2110783488 2214592512 2286682112 2302672896 2399141888 2415919104 2494562304 2572517376 2617245696 2699034624 2814377984 2952790016 3070230528 3166175232 3321888768 3326083072 3430023168 3489660928 3598712832 3741843456 3925868544 4093640704 4221566976 4429185024 4573364224 4605345792 4798283776 4831838208 4989124608 5145034752 5234491392 5398069248 5628755968 5905580032 6140461056 6332350464 6643777536 6652166144 6860046336 6979321856 7197425664 7483686912 7851737088 8187281408 8443133952 8858370048 9146728448 9210691584 9596567552 9978249216 10290069504 10468982784 10796138496 11257511936 12280922112 12664700928 13287555072 13304332288 13720092672 14394851328 14967373824 15703474176 16374562816 16886267904 17716740096 18293456896 18421383168 19193135104 19956498432 20580139008 20937965568 21592276992 22515023872 24561844224 25329401856 26575110144 26608664576 27440185344 28789702656 29934747648 31406948352 32749125632 33772535808 36586913792 36842766336 38386270208 39912996864 41160278016 43184553984 45030047744 49123688448 50658803712 53150220288 53217329152 54880370688 57579405312 59869495296 62813896704 67545071616 73173827584 73685532672 76772540416 79825993728 82320556032 86369107968 90060095488 98247376896 101317607424 106434658304 109760741376 115158810624 119738990592 135090143232 146347655168 147371065344 159651987456 164641112064 172738215936 180120190976 202635214848 212869316608 219521482752 230317621248 239477981184 270180286464 292695310336 294742130688 319303974912 329282224128 345476431872 360240381952 405270429696 425738633216 439042965504 478955962368 540360572928 585390620672 638607949824 658564448256 690952863744 810540859392 878085931008 957911924736 1080721145856 1170781241344 1277215899648 1317128896512 1621081718784 1756171862016 1915823849472 2341562482688 2634257793024 3242163437568 3512343724032 3831647698944 4683124965376 5268515586048 7024687448064 10537031172096 14049374896128 21074062344192 42148124688384
• Sum of all divisors σ(n): 145393232768784
• Sum of proper divisors (its aliquot sum) s(n): 103245108080400
• 42148124688384 is an abundant number, because the sum of its proper divisors (103245108080400) is greater than itself. Its abundance is 61096983392016

Bases of 42148124688384

• Binary: 1001100101010101100000000000000000000000000000₂
• Hexadecimal: 0x265560000000
• Base-36: EXUKX7GG0

Squares and roots of 42148124688384

• 42148124688384 squared (42148124688384²) is 1776464414747564857104531456
• 42148124688384 cubed (42148124688384³) is 74874643657257471976871759362434325807104
• The square root of 42148124688384 is 6492158.7078863067
• The cube root of 42148124688384 is 34801.0824211873

Scales and comparisons

• 42,148,124,688,384 seconds is equal to 1,340,179 years, 51 weeks, 4 days, 5 hours, 26 minutes, 24 seconds.
• To count from 1 to 42,148,124,688,384 would take you about three million, three hundred fifty thousand, four hundred forty-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 42148124688384 cubic inches would be around 2900.1 feet tall.

Recreational maths with 42148124688384

• 42148124688384 backwards is 48388642184124
• The number of decimal digits it has is: 14
• The sum of 42148124688384's digits is 63
• More coming soon!