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1440330112 = 27131945557
BaseRepresentation
bin101010111011001…
…1011000110000000
310201101020100110201
41111312123012000
510422211030422
6354531134544
750456414104
oct12566330600
93641210421
101440330112
1167a035371
12342444454
1319c52c650
14d940d904
15866ae727
hex55d9b180

1440330112 has 64 divisors (see below), whose sum is σ = 3252841200. Its totient is φ = 629766144.

The previous prime is 1440330071. The next prime is 1440330113. The reversal of 1440330112 is 2110330441.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 1440330112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1440330113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8838 + ... + 54394.

Almost surely, 21440330112 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 1440330112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1626420600).

1440330112 is an abundant number, since it is smaller than the sum of its proper divisors (1812511088).

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

1440330112 is a wasteful number, since it uses less digits than its factorization.

1440330112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45603 (or 45591 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 1440330112 is about 37951.6812802806. The cubic root of 1440330112 is about 1129.3295189768.

Adding to 1440330112 its reverse (2110330441), we get a palindrome (3550660553).

The spelling of 1440330112 in words is "one billion, four hundred forty million, three hundred thirty thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 64 76 104 128 152 208 247 304 416 494 608 832 988 1216 1664 1976 2432 3952 7904 15808 31616 45557 91114 182228 364456 592241 728912 865583 1184482 1457824 1731166 2368964 2915648 3462332 4737928 5831296 6924664 9475856 11252579 13849328 18951712 22505158 27698656 37903424 45010316 55397312 75806848 90020632 110794624 180041264 360082528 720165056 1440330112