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20144131344 = 2432139889801
BaseRepresentation
bin10010110000101011…
…110000110100010000
31220222212201220021200
4102300223300310100
5312223344200334
613130514351200
71312122201621
oct226053606420
956885656250
1020144131344
1185a7923037
123aa228b500
131b9050055c
14d914c3a48
157cd73b799
hex4b0af0d10

20144131344 has 30 divisors (see below), whose sum is σ = 56375590206. Its totient is φ = 6714710400.

The previous prime is 20144131339. The next prime is 20144131369. The reversal of 20144131344 is 44313144102.

20144131344 is a `hidden beast` number, since 201 + 4 + 413 + 1 + 3 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17500114944 + 2644016400 = 132288^2 + 51420^2 .

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, 69944757 + ... + 69945044.

Almost surely, 220144131344 is an apocalyptic number.

20144131344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20144131344 is an abundant number, since it is smaller than the sum of its proper divisors (36231458862).

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

20144131344 is a wasteful number, since it uses less digits than its factorization.

20144131344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139889815 (or 139889806 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 20144131344 its reverse (44313144102), we get a palindrome (64457275446).

The spelling of 20144131344 in words is "twenty billion, one hundred forty-four million, one hundred thirty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 139889801 279779602 419669403 559559204 839338806 1119118408 1259008209 1678677612 2238236816 2518016418 3357355224 5036032836 6714710448 10072065672 20144131344