Search a number
-
+
142362144 = 2533164771
BaseRepresentation
bin10000111110001…
…00011000100000
3100220212202011000
420133010120200
5242421042034
622043152000
73346025661
oct1037043040
9326782130
10142362144
11733a5871
123b815600
1323656572
1414c9b368
15c771599
hex87c4620

142362144 has 48 divisors (see below), whose sum is σ = 415225440. Its totient is φ = 47453760.

The previous prime is 142362133. The next prime is 142362149. The reversal of 142362144 is 441263241.

It is a happy number.

142362144 is a `hidden beast` number, since 14 + 23 + 621 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

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 not an unprimeable number, because it can be changed into a prime (142362149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81522 + ... + 83249.

It is an arithmetic number, because the mean of its divisors is an integer number (8650530).

Almost surely, 2142362144 is an apocalyptic number.

It is an amenable number.

142362144 is an abundant number, since it is smaller than the sum of its proper divisors (272863296).

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

142362144 is a wasteful number, since it uses less digits than its factorization.

142362144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164790 (or 164776 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 142362144 is about 11931.5608367053. The cubic root of 142362144 is about 522.1534758121.

The spelling of 142362144 in words is "one hundred forty-two million, three hundred sixty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 164771 329542 494313 659084 988626 1318168 1482939 1977252 2636336 2965878 3954504 4448817 5272672 5931756 7909008 8897634 11863512 15818016 17795268 23727024 35590536 47454048 71181072 142362144