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1411330144 = 25725231721
BaseRepresentation
bin101010000011111…
…0011000001100000
310122100122222222211
41110013303001200
510342300031034
6352013411504
746655052100
oct12407630140
93570588884
101411330144
11664728254
12334799b94
131965178c3
14d5621200
1583d81d64
hex541f3060

1411330144 has 72 divisors (see below), whose sum is σ = 3240259848. Its totient is φ = 603348480.

The previous prime is 1411330139. The next prime is 1411330169. The reversal of 1411330144 is 4410331141.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 819204 + ... + 820924.

It is an arithmetic number, because the mean of its divisors is an integer number (45003609).

Almost surely, 21411330144 is an apocalyptic number.

1411330144 is a gapful number since it is divisible by the number (14) 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 1411330144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1620129924).

1411330144 is an abundant number, since it is smaller than the sum of its proper divisors (1828929704).

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

1411330144 is a wasteful number, since it uses less digits than its factorization.

1411330144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2268 (or 2253 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 1411330144 is about 37567.6741893879. The cubic root of 1411330144 is about 1121.6986723691.

Adding to 1411330144 its reverse (4410331141), we get a palindrome (5821661285).

The spelling of 1411330144 in words is "one billion, four hundred eleven million, three hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 523 784 1046 1568 1721 2092 3442 3661 4184 6884 7322 8368 12047 13768 14644 16736 24094 25627 27536 29288 48188 51254 55072 58576 84329 96376 102508 117152 168658 192752 205016 337316 385504 410032 674632 820064 900083 1349264 1800166 2698528 3600332 6300581 7200664 12601162 14401328 25202324 28802656 44104067 50404648 88208134 100809296 176416268 201618592 352832536 705665072 1411330144