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20100134441440 = 255125625840259
BaseRepresentation
bin1001001000111111011010…
…10111111001000111100000
32122011112221221002011220001
410210133231113321013200
510113310033404111230
6110425512502425344
74143121032516634
oct444375527710740
978145857064801
1020100134441440
11644a467978a69
12230765a432254
13b2a585905711
144d6bcd0b6dc4
1524ccb5cca0ca
hex1247ed5f91e0

20100134441440 has 24 divisors (see below), whose sum is σ = 47486567618280. Its totient is φ = 8040053776512.

The previous prime is 20100134441323. The next prime is 20100134441467. The reversal of 20100134441440 is 4414443100102.

It is a junction number, because it is equal to n+sod(n) for n = 20100134441399 and 20100134441408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 62812919970 + ... + 62812920289.

It is an arithmetic number, because the mean of its divisors is an integer number (1978606984095).

Almost surely, 220100134441440 is an apocalyptic number.

20100134441440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20100134441440 is an abundant number, since it is smaller than the sum of its proper divisors (27386433176840).

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

20100134441440 is a wasteful number, since it uses less digits than its factorization.

20100134441440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125625840274 (or 125625840266 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 20100134441440 its reverse (4414443100102), we get a palindrome (24514577541542).

The spelling of 20100134441440 in words is "twenty trillion, one hundred billion, one hundred thirty-four million, four hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 125625840259 251251680518 502503361036 628129201295 1005006722072 1256258402590 2010013444144 2512516805180 4020026888288 5025033610360 10050067220720 20100134441440