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14004412020 = 2232577802289
BaseRepresentation
bin11010000101011101…
…00101111001110100
31100010222202211201200
431002232211321310
5212140112141040
610233351052500
71004020352364
oct150256457164
940128684650
1014004412020
115a37142035
12286a071130
1314224c5141
1496bd049a4
1556e705630
hex342ba5e74

14004412020 has 36 divisors (see below), whose sum is σ = 42480050340. Its totient is φ = 3734509824.

The previous prime is 14004412013. The next prime is 14004412021. The reversal of 14004412020 is 2021440041.

It can be written as a sum of positive squares in 2 ways, for example, as 7672708836 + 6331703184 = 87594^2 + 79572^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×140044120202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 14004411984 and 14004412002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14004412021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38900965 + ... + 38901324.

Almost surely, 214004412020 is an apocalyptic number.

14004412020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14004412020 is an abundant number, since it is smaller than the sum of its proper divisors (28475638320).

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

14004412020 is a wasteful number, since it uses less digits than its factorization.

14004412020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77802304 (or 77802299 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 14004412020 its reverse (2021440041), we get a palindrome (16025852061).

The spelling of 14004412020 in words is "fourteen billion, four million, four hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 77802289 155604578 233406867 311209156 389011445 466813734 700220601 778022890 933627468 1167034335 1400441202 1556045780 2334068670 2800882404 3501103005 4668137340 7002206010 14004412020