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141234144 = 2531977431
BaseRepresentation
bin10000110101100…
…00111111100000
3100211202102211020
420122300333200
5242123443034
622003045440
73333320232
oct1032607740
9324672736
10141234144
11727a5337
123b370880
132334cccc
1414a86252
15c5ec249
hex86b0fe0

141234144 has 48 divisors (see below), whose sum is σ = 390257280. Its totient is φ = 44599680.

The previous prime is 141234139. The next prime is 141234157. The reversal of 141234144 is 441432141.

141234144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (24).

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

It is a plaindrome in base 13.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 36892 + ... + 40539.

It is an arithmetic number, because the mean of its divisors is an integer number (8130360).

Almost surely, 2141234144 is an apocalyptic number.

It is an amenable number.

141234144 is an abundant number, since it is smaller than the sum of its proper divisors (249023136).

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

141234144 is a wasteful number, since it uses less digits than its factorization.

141234144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77463 (or 77455 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 141234144 is about 11884.1972383498. The cubic root of 141234144 is about 520.7707308451.

Adding to 141234144 its reverse (441432141), we get a palindrome (582666285).

The spelling of 141234144 in words is "one hundred forty-one million, two hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 77431 154862 232293 309724 464586 619448 929172 1238896 1471189 1858344 2477792 2942378 3716688 4413567 5884756 7433376 8827134 11769512 17654268 23539024 35308536 47078048 70617072 141234144