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14420442004020 = 22325136162582053
BaseRepresentation
bin1101000111011000010101…
…0100101011101000110100
31220001120200101201201112100
43101312011110223220310
53342231031123112040
650400354250222100
73015561665412663
oct321660524535064
956046611651470
1014420442004020
11465a747631188
12174a940a24930
13807ac36c7250
1437bd4b4d2dda
151a0197271b30
hexd1d8552ba34

14420442004020 has 72 divisors (see below), whose sum is σ = 47106777220776. Its totient is φ = 3549647261952.

The previous prime is 14420442004009. The next prime is 14420442004021. The reversal of 14420442004020 is 2040024402441.

14420442004020 is a `hidden beast` number, since 14 + 4 + 2 + 0 + 44 + 200 + 402 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3272242216356 + 11148199787664 = 1808934^2 + 3338892^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14420442004021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3081288687 + ... + 3081293366.

It is an arithmetic number, because the mean of its divisors is an integer number (654260794733).

Almost surely, 214420442004020 is an apocalyptic number.

14420442004020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14420442004020 is an abundant number, since it is smaller than the sum of its proper divisors (32686335216756).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14420442004020 is a wasteful number, since it uses less digits than its factorization.

14420442004020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6162582081 (or 6162582076 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 14420442004020 its reverse (2040024402441), we get a palindrome (16460466406461).

The spelling of 14420442004020 in words is "fourteen trillion, four hundred twenty billion, four hundred forty-two million, four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 6162582053 12325164106 18487746159 24650328212 30812910265 36975492318 55463238477 61625820530 73950984636 80113566689 92438730795 110926476954 123251641060 160227133378 184877461590 221852953908 240340700067 277316192385 320454266756 369754923180 400567833445 480681400134 554632384770 721022100201 801135666890 961362800268 1109264769540 1201703500335 1442044200402 1602271333780 2403407000670 2884088400804 3605110501005 4806814001340 7210221002010 14420442004020