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1442881193 = 133711292657
BaseRepresentation
bin101011000000000…
…1001111010101001
310201120000221220012
41112000021322221
510423334144233
6355101541305
750520200465
oct12600117251
93646027805
101442881193
11680517aa6
12343274835
1319cc13870
14d98b54a5
1586a15548
hex56009ea9

1442881193 has 16 divisors (see below), whose sum is σ = 1597883280. Its totient is φ = 1294258176.

The previous prime is 1442881189. The next prime is 1442881199. The reversal of 1442881193 is 3911882441.

It can be written as a sum of positive squares in 8 ways, for example, as 26337424 + 1416543769 = 5132^2 + 37637^2 .

It is a cyclic number.

It is not a de Polignac number, because 1442881193 - 22 = 1442881189 is a prime.

It is a super-2 number, since 2×14428811932 = 4163812274226206498, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1442881193.

It is not an unprimeable number, because it can be changed into a prime (1442881199) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 541721 + ... + 544377.

It is an arithmetic number, because the mean of its divisors is an integer number (99867705).

Almost surely, 21442881193 is an apocalyptic number.

1442881193 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1442881193 is a deficient number, since it is larger than the sum of its proper divisors (155002087).

1442881193 is a wasteful number, since it uses less digits than its factorization.

1442881193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3836.

The product of its digits is 55296, while the sum is 41.

The square root of 1442881193 is about 37985.2760026829. The cubic root of 1442881193 is about 1129.9958735851.

The spelling of 1442881193 in words is "one billion, four hundred forty-two million, eight hundred eighty-one thousand, one hundred ninety-three".

Divisors: 1 13 37 481 1129 2657 14677 34541 41773 98309 543049 1278017 2999753 38996789 110990861 1442881193