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1441014144 = 2733752641
BaseRepresentation
bin101010111100100…
…0010000110000000
310201102112002210020
41111321002012000
510422344423034
6354553533440
750465263263
oct12571020600
93642462706
101441014144
1167a462289
12342714280
1319c70babb
14d954acda
1586797249
hex55e42180

1441014144 has 32 divisors (see below), whose sum is σ = 3827694840. Its totient is φ = 480337920.

The previous prime is 1441014139. The next prime is 1441014149. The reversal of 1441014144 is 4414101441.

It is an interprime number because it is at equal distance from previous prime (1441014139) and next prime (1441014149).

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1441014149) 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 3 ways as a sum of consecutive naturals, for example, 1875937 + ... + 1876704.

Almost surely, 21441014144 is an apocalyptic number.

It is an amenable number.

1441014144 is an abundant number, since it is smaller than the sum of its proper divisors (2386680696).

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

1441014144 is an equidigital number, since it uses as much as digits as its factorization.

1441014144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3752658 (or 3752646 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 1441014144 is about 37960.6920906350. The cubic root of 1441014144 is about 1129.5082685717.

Adding to 1441014144 its reverse (4414101441), we get a palindrome (5855115585).

The spelling of 1441014144 in words is "one billion, four hundred forty-one million, fourteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 3752641 7505282 11257923 15010564 22515846 30021128 45031692 60042256 90063384 120084512 180126768 240169024 360253536 480338048 720507072 1441014144