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141138424 = 2372372263
BaseRepresentation
bin10000110100110…
…01100111111000
3100211120120112001
420122121213320
5242112412144
622001030344
73332441200
oct1032314770
9324516461
10141138424
117273a429
123b3253b4
132331857b
1414a5d400
15c5cdbd4
hex86999f8

141138424 has 72 divisors (see below), whose sum is σ = 317588040. Its totient is φ = 58629312.

The previous prime is 141138421. The next prime is 141138449. The reversal of 141138424 is 424831141.

141138424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 141138392 and 141138401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141138421) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 536517 + ... + 536779.

It is an arithmetic number, because the mean of its divisors is an integer number (4410945).

Almost surely, 2141138424 is an apocalyptic number.

141138424 is a gapful number since it is divisible by the number (14) 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 141138424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158794020).

141138424 is an abundant number, since it is smaller than the sum of its proper divisors (176449616).

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

141138424 is a wasteful number, since it uses less digits than its factorization.

141138424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 309 counting only the distinct ones).

The product of its digits is 3072, while the sum is 28.

The square root of 141138424 is about 11880.1693590622. The cubic root of 141138424 is about 520.6530552403.

Adding to 141138424 its reverse (424831141), we get a palindrome (565969565).

The spelling of 141138424 in words is "one hundred forty-one million, one hundred thirty-eight thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 37 49 56 74 98 148 196 259 263 296 392 518 526 1036 1052 1369 1813 1841 2072 2104 2738 3626 3682 5476 7252 7364 9583 9731 10952 12887 14504 14728 19166 19462 25774 38332 38924 51548 67081 68117 76664 77848 103096 134162 136234 268324 272468 360047 476819 536648 544936 720094 953638 1440188 1907276 2520329 2880376 3814552 5040658 10081316 17642303 20162632 35284606 70569212 141138424