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3144314440 = 235142955009
BaseRepresentation
bin1011101101101010…
…0110111001001000
322010010120201112101
42323122212321020
522414421030230
61240001323144
7140630142331
oct27332467110
98103521471
103144314440
111373979a83
127390364b4
133b15725b7
1421b851288
1513609daca
hexbb6a6e48

3144314440 has 32 divisors (see below), whose sum is σ = 7079787000. Its totient is φ = 1256822784.

The previous prime is 3144314423. The next prime is 3144314491. The reversal of 3144314440 is 444134413.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2231428644 + 912885796 = 47238^2 + 30214^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3144314399 and 3144314408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29656 + ... + 84664.

Almost surely, 23144314440 is an apocalyptic number.

It is an amenable number.

3144314440 is an abundant number, since it is smaller than the sum of its proper divisors (3935472560).

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

3144314440 is a wasteful number, since it uses less digits than its factorization.

3144314440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56449 (or 56445 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 3144314440 is about 56074.1869312431. The cubic root of 3144314440 is about 1465.0147257078.

Adding to 3144314440 its reverse (444134413), we get a palindrome (3588448853).

The spelling of 3144314440 in words is "three billion, one hundred forty-four million, three hundred fourteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 1429 2858 5716 7145 11432 14290 28580 55009 57160 110018 220036 275045 440072 550090 1100180 2200360 78607861 157215722 314431444 393039305 628862888 786078610 1572157220 3144314440