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1142352288 = 253372112223
BaseRepresentation
bin100010000010110…
…1110100110100000
32221121112111202000
41010011232212200
54314420233123
6305204324000
740210556100
oct10405564640
92847474660
101142352288
11536912200
1227a6a3600
1315288c0cc
14aba05200
156a44eb43
hex4416e9a0

1142352288 has 432 divisors, whose sum is σ = 4279322880. Its totient is φ = 295384320.

The previous prime is 1142352287. The next prime is 1142352313. The reversal of 1142352288 is 8822532411.

It is a happy number.

1142352288 is a `hidden beast` number, since 1 + 1 + 423 + 5 + 228 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is not an unprimeable number, because it can be changed into a prime (1142352283) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5122545 + ... + 5122767.

It is an arithmetic number, because the mean of its divisors is an integer number (9905840).

Almost surely, 21142352288 is an apocalyptic number.

1142352288 is a gapful number since it is divisible by the number (18) 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 1142352288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2139661440).

1142352288 is an abundant number, since it is smaller than the sum of its proper divisors (3136970592).

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

1142352288 is a wasteful number, since it uses less digits than its factorization.

1142352288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 246 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 1142352288 is about 33798.7024603016. The cubic root of 1142352288 is about 1045.3619429528.

Adding to 1142352288 its reverse (8822532411), we get a palindrome (9964884699).

The spelling of 1142352288 in words is "one billion, one hundred forty-two million, three hundred fifty-two thousand, two hundred eighty-eight".