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1442134144 = 2711293113
BaseRepresentation
bin101010111110101…
…0011100010000000
310201111122000010201
41111331103202000
510423141243034
6355033534544
750510636503
oct12575234200
93644560121
101442134144
11680057800
12342b74454
1319ca11819
14d975d13a
1586919014
hex55f53880

1442134144 has 48 divisors (see below), whose sum is σ = 3157961310. Its totient is φ = 655508480.

The previous prime is 1442134139. The next prime is 1442134147. The reversal of 1442134144 is 4414312441.

It can be written as a sum of positive squares in only one way, i.e., 1270209600 + 171924544 = 35640^2 + 13112^2 .

It is a super-2 number, since 2×14421341442 = 4159501778581225472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1442134147) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 31069 + ... + 62044.

Almost surely, 21442134144 is an apocalyptic number.

It is an amenable number.

1442134144 is an abundant number, since it is smaller than the sum of its proper divisors (1715827166).

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

1442134144 is an equidigital number, since it uses as much as digits as its factorization.

1442134144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93149 (or 93126 counting only the distinct ones).

The product of its digits is 6144, while the sum is 28.

The square root of 1442134144 is about 37975.4413272578. The cubic root of 1442134144 is about 1129.8008221788.

Adding to 1442134144 its reverse (4414312441), we get a palindrome (5856446585).

The spelling of 1442134144 in words is "one billion, four hundred forty-two million, one hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 352 484 704 968 1408 1936 3872 7744 15488 93113 186226 372452 744904 1024243 1489808 2048486 2979616 4096972 5959232 8193944 11266673 11918464 16387888 22533346 32775776 45066692 65551552 90133384 131103104 180266768 360533536 721067072 1442134144