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1142404032 = 26373111983
BaseRepresentation
bin100010000010111…
…1011001111000000
32221121122010201110
41010011323033000
54314423412112
6305205403320
740211163000
oct10405731700
92847563643
101142404032
11536948070
1227a709540
131528a9823
14aba1a000
156a46013c
hex4417b3c0

1142404032 has 448 divisors, whose sum is σ = 4096512000. Its totient is φ = 277724160.

The previous prime is 1142404027. The next prime is 1142404037. The reversal of 1142404032 is 2304042411.

It is an interprime number because it is at equal distance from previous prime (1142404027) and next prime (1142404037).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1142404037) 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 63 ways as a sum of consecutive naturals, for example, 13763863 + ... + 13763945.

It is an arithmetic number, because the mean of its divisors is an integer number (9144000).

Almost surely, 21142404032 is an apocalyptic number.

1142404032 is a gapful number since it is divisible by the number (12) 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 1142404032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2048256000).

1142404032 is an abundant number, since it is smaller than the sum of its proper divisors (2954107968).

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

1142404032 is a wasteful number, since it uses less digits than its factorization.

1142404032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 1142404032 is about 33799.4679248062. The cubic root of 1142404032 is about 1045.3777262893.

Adding to 1142404032 its reverse (2304042411), we get a palindrome (3446446443).

The spelling of 1142404032 in words is "one billion, one hundred forty-two million, four hundred four thousand, thirty-two".