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142424100 = 2232527133747
BaseRepresentation
bin10000111110100…
…11100000100100
3100220222220010200
420133103200210
5242430032400
622044350500
73346404420
oct1037234044
9326886120
10142424100
1173438375
123b845430
1323678820
1414cb5b80
15c784b00
hex87d3824

142424100 has 432 divisors, whose sum is σ = 576296448. Its totient is φ = 28615680.

The previous prime is 142424089. The next prime is 142424131. The reversal of 142424100 is 1424241.

142424100 is a `hidden beast` number, since 1 + 424 + 241 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3030277 + ... + 3030323.

Almost surely, 2142424100 is an apocalyptic number.

142424100 is a gapful number since it is divisible by the number (10) 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 142424100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288148224).

142424100 is an abundant number, since it is smaller than the sum of its proper divisors (433872348).

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

142424100 is a wasteful number, since it uses less digits than its factorization.

142424100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 142424100 is about 11934.1568617142. The cubic root of 142424100 is about 522.2292118844.

Adding to 142424100 its reverse (1424241), we get a palindrome (143848341).

Multiplying 142424100 by its reverse (1424241), we get a square (202846242608100 = 142424102).

142424100 divided by its reverse (1424241) gives a square (100 = 102).

The spelling of 142424100 in words is "one hundred forty-two million, four hundred twenty-four thousand, one hundred".