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20144311400 = 2352100721557
BaseRepresentation
bin10010110000101100…
…011100110001101000
31220222220002001021102
4102300230130301220
5312223420431100
613130522300532
71312123551563
oct226054346150
956886061242
1020144311400
1185a7a36344
123aa2357748
131b905644b5
14d9152d4da
157cd774cd5
hex4b0b1cc68

20144311400 has 24 divisors (see below), whose sum is σ = 46835524470. Its totient is φ = 8057724480.

The previous prime is 20144311387. The next prime is 20144311489. The reversal of 20144311400 is 411344102.

It can be written as a sum of positive squares in 3 ways, for example, as 19620725476 + 523585924 = 140074^2 + 22882^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50360579 + ... + 50360978.

Almost surely, 220144311400 is an apocalyptic number.

20144311400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20144311400 is an abundant number, since it is smaller than the sum of its proper divisors (26691213070).

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

20144311400 is a wasteful number, since it uses less digits than its factorization.

20144311400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100721573 (or 100721564 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 20144311400 its reverse (411344102), we get a palindrome (20555655502).

The spelling of 20144311400 in words is "twenty billion, one hundred forty-four million, three hundred eleven thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 100721557 201443114 402886228 503607785 805772456 1007215570 2014431140 2518038925 4028862280 5036077850 10072155700 20144311400