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1114434048 = 29372131767
BaseRepresentation
bin100001001101100…
…1110101000000000
32212200000010010010
41002123032220000
54240243342143
6302330104520
736421350600
oct10233165000
92780003103
101114434048
11522083882
1227127b140
13149b65840
14a8018c00
1567c87a33
hex426cea00

1114434048 has 480 divisors, whose sum is σ = 3996869184. Its totient is φ = 272498688.

The previous prime is 1114434047. The next prime is 1114434049. The reversal of 1114434048 is 8404344111.

It is an interprime number because it is at equal distance from previous prime (1114434047) and next prime (1114434049).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1114434047) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 16633311 + ... + 16633377.

Almost surely, 21114434048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1114434048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1998434592).

1114434048 is an abundant number, since it is smaller than the sum of its proper divisors (2882435136).

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

1114434048 is a wasteful number, since it uses less digits than its factorization.

1114434048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 1114434048 is about 33383.1401758433. The cubic root of 1114434048 is about 1036.7756548163.

Adding to 1114434048 its reverse (8404344111), we get a palindrome (9518778159).

The spelling of 1114434048 in words is "one billion, one hundred fourteen million, four hundred thirty-four thousand, forty-eight".