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1114364440 = 2357192931233
BaseRepresentation
bin100001001101011…
…1101101000011000
32212122212120122001
41002122331220120
54240234130230
6302324410344
736420640630
oct10232755030
92778776561
101114364440
11522036552
122712469b4
13149b3cc57
14a7ddb6c0
1567c720ca
hex426bda18

1114364440 has 256 divisors, whose sum is σ = 3234816000. Its totient is φ = 336752640.

The previous prime is 1114364431. The next prime is 1114364509. The reversal of 1114364440 is 444634111.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 1114364399 and 1114364408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4782564 + ... + 4782796.

It is an arithmetic number, because the mean of its divisors is an integer number (12636000).

Almost surely, 21114364440 is an apocalyptic number.

1114364440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1114364440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1617408000).

1114364440 is an abundant number, since it is smaller than the sum of its proper divisors (2120451560).

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

1114364440 is a wasteful number, since it uses less digits than its factorization.

1114364440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 1114364440 is about 33382.0975973650. The cubic root of 1114364440 is about 1036.7540685583.

Adding to 1114364440 its reverse (444634111), we get a palindrome (1558998551).

The spelling of 1114364440 in words is "one billion, one hundred fourteen million, three hundred sixty-four thousand, four hundred forty".