Search a number
-
+
1440342016 = 213193911
BaseRepresentation
bin101010111011001…
…1110000000000000
310201101020221210121
41111312132000000
510422211421031
6354531310024
750456463601
oct12566360000
93641227717
101440342016
1167a043303
1234244b314
1319c534ba9
14d9413da8
15866b3011
hex55d9e000

1440342016 has 56 divisors (see below), whose sum is σ = 2898611424. Its totient is φ = 715653120.

The previous prime is 1440341989. The next prime is 1440342053. The reversal of 1440342016 is 6102430441.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1580601 + ... + 1581511.

Almost surely, 21440342016 is an apocalyptic number.

1440342016 is a gapful number since it is divisible by the number (16) 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 1440342016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1449305712).

1440342016 is an abundant number, since it is smaller than the sum of its proper divisors (1458269408).

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

1440342016 is an frugal number, since it uses more digits than its factorization.

1440342016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130 (or 1106 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 1440342016 is about 37951.8381109532. The cubic root of 1440342016 is about 1129.3326301853.

Adding to 1440342016 its reverse (6102430441), we get a palindrome (7542772457).

The spelling of 1440342016 in words is "one billion, four hundred forty million, three hundred forty-two thousand, sixteen".

Divisors: 1 2 4 8 16 32 64 128 193 256 386 512 772 911 1024 1544 1822 2048 3088 3644 4096 6176 7288 8192 12352 14576 24704 29152 49408 58304 98816 116608 175823 197632 233216 351646 395264 466432 703292 790528 932864 1406584 1581056 1865728 2813168 3731456 5626336 7462912 11252672 22505344 45010688 90021376 180042752 360085504 720171008 1440342016