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124400142 = 232371511237
BaseRepresentation
bin1110110101000…
…11001000001110
322200002011220200
413122203020032
5223321301032
620202154330
73040245426
oct732431016
9280064820
10124400142
1164247739
12357b29a6
131ca07969
1412743486
15adc447c
hex76a320e

124400142 has 48 divisors (see below), whose sum is σ = 278876832. Its totient is φ = 40046400.

The previous prime is 124400141. The next prime is 124400147. The reversal of 124400142 is 241004421.

124400142 is a `hidden beast` number, since 124 + 400 + 142 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124400141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99948 + ... + 101184.

It is an arithmetic number, because the mean of its divisors is an integer number (5809934).

Almost surely, 2124400142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 124400142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139438416).

124400142 is an abundant number, since it is smaller than the sum of its proper divisors (154476690).

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

124400142 is a wasteful number, since it uses less digits than its factorization.

124400142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1433 (or 1430 counting only the distinct ones).

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

The square root of 124400142 is about 11153.4811606063. The cubic root of 124400142 is about 499.1989065173.

Adding to 124400142 its reverse (241004421), we get a palindrome (365404563).

The spelling of 124400142 in words is "one hundred twenty-four million, four hundred thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 37 74 111 151 222 302 333 453 666 906 1237 1359 2474 2718 3711 5587 7422 11133 11174 16761 22266 33522 45769 50283 91538 100566 137307 186787 274614 373574 411921 560361 823842 1120722 1681083 3362166 6911119 13822238 20733357 41466714 62200071 124400142