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1142355456 = 29321131727
BaseRepresentation
bin100010000010110…
…1111011000000000
32221121112200002100
41010011233120000
54314420333311
6305204350400
740210601244
oct10405573000
92847480070
101142355456
11536914620
1227a6a5400
13152890698
14aba06424
156a450a56
hex4416f600

1142355456 has 240 divisors, whose sum is σ = 3717762048. Its totient is φ = 334540800.

The previous prime is 1142355451. The next prime is 1142355469. The reversal of 1142355456 is 6545532411.

1142355456 is a `hidden beast` number, since 11 + 42 + 3 + 554 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1142355456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1142355451) 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 23 ways as a sum of consecutive naturals, for example, 1570965 + ... + 1571691.

Almost surely, 21142355456 is an apocalyptic number.

1142355456 is a gapful number since it is divisible by the number (16) 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 1142355456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1858881024).

1142355456 is an abundant number, since it is smaller than the sum of its proper divisors (2575406592).

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

1142355456 is a wasteful number, since it uses less digits than its factorization.

1142355456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 774 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 1142355456 is about 33798.7493259736. The cubic root of 1142355456 is about 1045.3629092932.

Adding to 1142355456 its reverse (6545532411), we get a palindrome (7687887867).

The spelling of 1142355456 in words is "one billion, one hundred forty-two million, three hundred fifty-five thousand, four hundred fifty-six".