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1142321400 = 2333521119231
BaseRepresentation
bin100010000010110…
…0111000011111000
32221121110221101000
41010011213003320
54314413241100
6305203525000
740210400043
oct10405470370
92847427330
101142321400
115368a0a80
1227a689760
1315287b02c
14ab9d7c5a
156a445900
hex441670f8

1142321400 has 192 divisors, whose sum is σ = 4292582400. Its totient is φ = 276912000.

The previous prime is 1142321351. The next prime is 1142321419. The reversal of 1142321400 is 41232411.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 49785 + ... + 69015.

It is an arithmetic number, because the mean of its divisors is an integer number (22357200).

Almost surely, 21142321400 is an apocalyptic number.

1142321400 is a gapful number since it is divisible by the number (10) 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 1142321400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2146291200).

1142321400 is an abundant number, since it is smaller than the sum of its proper divisors (3150261000).

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

1142321400 is a wasteful number, since it uses less digits than its factorization.

1142321400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19267 (or 19252 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1142321400 is about 33798.2455165945. The cubic root of 1142321400 is about 1045.3525210401.

Adding to 1142321400 its reverse (41232411), we get a palindrome (1183553811).

It can be divided in two parts, 11423 and 21400, that added together give a palindrome (32823).

The spelling of 1142321400 in words is "one billion, one hundred forty-two million, three hundred twenty-one thousand, four hundred".