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45434151440 = 245567926893
BaseRepresentation
bin101010010100000101…
…100010001000010000
311100021101101000212122
4222110011202020100
51221022120321230
632512215313412
73165620625626
oct522405421020
9140241330778
1045434151440
11182a5437497
12897b97b868
134390b4c1a2
1422b01a3516
1512adaeabe5
hexa94162210

45434151440 has 20 divisors (see below), whose sum is σ = 105634402284. Its totient is φ = 18173660544.

The previous prime is 45434151437. The next prime is 45434151463. The reversal of 45434151440 is 4415143454.

It can be written as a sum of positive squares in 2 ways, for example, as 21979841536 + 23454309904 = 148256^2 + 153148^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 45434151440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 283963367 + ... + 283963526.

Almost surely, 245434151440 is an apocalyptic number.

45434151440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45434151440 is an abundant number, since it is smaller than the sum of its proper divisors (60200250844).

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

45434151440 is a wasteful number, since it uses less digits than its factorization.

45434151440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567926906 (or 567926900 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

Adding to 45434151440 its reverse (4415143454), we get a palindrome (49849294894).

The spelling of 45434151440 in words is "forty-five billion, four hundred thirty-four million, one hundred fifty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 567926893 1135853786 2271707572 2839634465 4543415144 5679268930 9086830288 11358537860 22717075720 45434151440