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142141344 = 25311313103
BaseRepresentation
bin10000111100011…
…10011110100000
3100220110112021020
420132032132200
5242342010334
622034325440
73344116152
oct1036163640
9326415236
10142141344
1173264994
123b729880
13235a9c07
1414c40ad2
15c72ae49
hex878e7a0

142141344 has 48 divisors (see below), whose sum is σ = 376451712. Its totient is φ = 46957568.

The previous prime is 142141313. The next prime is 142141393. The reversal of 142141344 is 443141241.

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 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, 4297 + ... + 17399.

It is an arithmetic number, because the mean of its divisors is an integer number (7842744).

Almost surely, 2142141344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142141344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188225856).

142141344 is an abundant number, since it is smaller than the sum of its proper divisors (234310368).

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

142141344 is a wasteful number, since it uses less digits than its factorization.

142141344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13229 (or 13221 counting only the distinct ones).

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

The square root of 142141344 is about 11922.3044752263. The cubic root of 142141344 is about 521.8833872892.

Adding to 142141344 its reverse (443141241), we get a palindrome (585282585).

The spelling of 142141344 in words is "one hundred forty-two million, one hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 113 226 339 452 678 904 1356 1808 2712 3616 5424 10848 13103 26206 39309 52412 78618 104824 157236 209648 314472 419296 628944 1257888 1480639 2961278 4441917 5922556 8883834 11845112 17767668 23690224 35535336 47380448 71070672 142141344