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314443532288 = 211123912
BaseRepresentation
bin1001001001101100100…
…10111000100000000000
31010001122002222111020102
410210312102320200000
520122440021013123
6400241532101532
731501126632044
oct4446622704000
91101562874212
10314443532288
1111139a1a3946
1250b366048a8
13238622b1612
141130d4b2024
1582a5704028
hex49364b8800

314443532288 has 36 divisors (see below), whose sum is σ = 628784272935. Its totient is φ = 157209077760.

The previous prime is 314443532269. The next prime is 314443532297. The reversal of 314443532288 is 882235344413.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 157221766144 + 157221766144 = 396512^2 + 396512^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=396512.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 25370573 + ... + 25382963.

Almost surely, 2314443532288 is an apocalyptic number.

It is an amenable number.

314443532288 is a deficient number, since it is larger than the sum of its proper divisors (314340740647).

314443532288 is an frugal number, since it uses more digits than its factorization.

314443532288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24804 (or 12393 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 47.

The spelling of 314443532288 in words is "three hundred fourteen billion, four hundred forty-three million, five hundred thirty-two thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 12391 24782 49564 99128 198256 396512 793024 1586048 3172096 6344192 12688384 25376768 153536881 307073762 614147524 1228295048 2456590096 4913180192 9826360384 19652720768 39305441536 78610883072 157221766144 314443532288