42415216144515504

Names of 42415216144515504

• Cardinal: 42415216144515504 can be written as Forty-two quadrillion, four hundred fifteen trillion, two hundred sixteen billion, one hundred forty-four million, five hundred fifteen thousand, five hundred four.

Scientific notation

• Scientific notation: 4.2415216144515504 × 10¹⁶

Factors of 42415216144515504

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 191

Divisors of 42415216144515504

• Number of divisors d(n): 360
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 73 108 113 144 146 216 219 226 292 339 432 438 452 584 657 678 876 904 1017 1168 1314 1356 1752 1808 1971 2034 2628 2712 3051 3504 3942 4068 5256 5329 5424 6102 7884 8136 8249 10512 10658 12204 12769 15768 15987 16272 16498 21316 24408 24747 25538 31536 31974 32996 38307 42632 47961 48816 49494 51076 63948 65992 74241 76614 85264 95922 98988 102152 114921 127896 131984 143883 148482 153228 191844 197976 204304 222723 229842 255792 287766 296964 306456 344763 383688 395952 445446 459684 575532 593928 602177 612912 689526 767376 890892 919368 932137 1151064 1187856 1204354 1379052 1442897 1781784 1806531 1838736 1864274 2302128 2408708 2758104 2796411 2885794 3563568 3613062 3728548 4328691 4817416 5419593 5516208 5592822 5771588 7226124 7457096 8389233 8657382 9634832 10839186 11185644 11543176 12986073 14452248 14914192 16258779 16778466 17314764 21678372 22371288 23086352 25167699 25972146 28904496 32517558 33556932 34629528 38958219 43356744 44742576 50335398 51944292 65035116 67113864 68046001 69259056 77916438 86713488 100670796 103888584 105331481 130070232 134227728 136092002 155832876 163047361 201341592 204138003 207777168 210662962 260140464 272184004 311665752 315994443 326094722 402683184 408276006 421325924 489142083 544368008 612414009 623331504 631988886 652189444 816552012 842651848 947983329 978284166 1088736016 1224828018 1263977772 1304378888 1467426249 1633104024 1685303696 1837242027 1895966658 1956568332 2449656036 2527955544 2608757776 2843949987 2934852498 3266208048 3674484054 3791933316 3913136664 4402278747 4899312072 5055911088 5687899974 5869704996 7348968108 7583866632 7689198113 7826273328 8804557494 9798624144 11375799948 11739409992 11902457353 14697936216 15167733264 15378396226 17609114988 18424351793 22751599896 23067594339 23478819984 23804914706 29395872432 30756792452 35218229976 35707372059 36848703586 45503199792 46135188678 47609829412 55273055379 61513584904 69202783017 70436459952 71414744118 73697407172 92270377356 95219658824 107122116177 110546110758 123027169808 138405566034 142829488236 147394814344 165819166137 184540754712 190439317648 207608349051 214244232354 221092221516 276811132068 285658976472 294789628688 321366348531 331638332274 369081509424 415216698102 428488464708 442184443032 497457498411 553622264136 571317952944 642732697062 663276664548 830433396204 856976929416 868879386769 884368886064 994914996822 1107244528272 1285465394124 1326553329096 1344977680889 1660866792408 1713953858832 1737758773538 1989829993644 2570930788248 2606638160307 2653106658192 2689955361778 3321733584816 3475517547076 3979659987288 4034933042667 5141861576496 5213276320614 5379910723556 6951035094152 7819914480921 7959319974576 8069866085334 10426552641228 10759821447112 12104799128001 13902070188304 15639828961842 16139732170668 20853105282456 21519642894224 23459743442763 24209598256002 31279657923684 32279464341336 36314397384003 41706210564912 46919486885526 48419196512004 62559315847368 64558928682672 72628794768006 93838973771052 96838393024008 98183370704897 125118631694736 145257589536012 187677947542104 193676786048016 196366741409794 290515179072024 294550112114691 375355895084208 392733482819588 581030358144048 589100224229382 785466965639176 883650336344073 1178200448458764 1570933931278352 1767300672688146 2356400896917528 2650951009032219 3534601345376292 4712801793835056 5301902018064438 7069202690752584 10603804036128876 14138405381505168 21207608072257752 42415216144515504
• Sum of all divisors σ(n): 124540123178418480
• Sum of proper divisors (its aliquot sum) s(n): 82124907033902976
• 42415216144515504 is an abundant number, because the sum of its proper divisors (82124907033902976) is greater than itself. Its abundance is 39709690889387472

Bases of 42415216144515504

• Binary: 10010110101100000110101000010011010111011000000110110000₂
• Hexadecimal: 0x96B06A135D81B0
• Base-36: BLMXTAS0LO0

Squares and roots of 42415216144515504

• 42415216144515504 squared (42415216144515504²) is 1799050560585968655902458896374016
• 42415216144515504 cubed (42415216144515504³) is 76307118382165645593896264656771927676230694744064
• The square root of 42415216144515504 is 205949547.5705530751
• The cube root of 42415216144515504 is 348744.3883960221

Scales and comparisons

• 42,415,216,144,515,504 seconds is equal to 1,348,672,674 years, 26 weeks, 6 days, 11 hours, 38 minutes, 24 seconds.
• To count from 1 to 42,415,216,144,515,504 would take you about four billion, forty-six million, eighteen thousand and twenty-three 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 42415216144515504 cubic inches would be around 29062 feet tall.

Recreational maths with 42415216144515504

• 42415216144515504 backwards is 40551544161251424
• 42415216144515504 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 42415216144515504's digits is 54
• More coming soon!