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142641216 = 2633233797
BaseRepresentation
bin10001000000010…
…00100001000000
3100221101220222000
420200020201000
5243004004331
622053144000
73351300414
oct1040104100
9327356860
10142641216
1173576503
123b92b000
13237235b3
1414d30d44
15c7c90e6
hex8808840

142641216 has 224 divisors, whose sum is σ = 454030080. Its totient is φ = 43794432.

The previous prime is 142641211. The next prime is 142641217. The reversal of 142641216 is 612146241.

142641216 is a `hidden beast` number, since 1 + 4 + 2 + 641 + 2 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 142641216.

It is not an unprimeable number, because it can be changed into a prime (142641211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1470480 + ... + 1470576.

It is an arithmetic number, because the mean of its divisors is an integer number (2026920).

Almost surely, 2142641216 is an apocalyptic number.

142641216 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 142641216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227015040).

142641216 is an abundant number, since it is smaller than the sum of its proper divisors (311388864).

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

142641216 is a wasteful number, since it uses less digits than its factorization.

142641216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 162 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 142641216 is about 11943.2498089925. The cubic root of 142641216 is about 522.4944449704.

Adding to 142641216 its reverse (612146241), we get a palindrome (754787457).

The spelling of 142641216 in words is "one hundred forty-two million, six hundred forty-one thousand, two hundred sixteen".