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142341444 = 223272112677
BaseRepresentation
bin10000111101111…
…11010101000100
3100220211200202100
420132333111010
5242414411234
622042512100
73345611430
oct1036772504
9326750670
10142341444
1173391263
123b805630
132364a00b
1414c939c0
15c76a399
hex87bf544

142341444 has 72 divisors (see below), whose sum is σ = 413311808. Its totient is φ = 40461120.

The previous prime is 142341443. The next prime is 142341461. The reversal of 142341444 is 444143241.

It is a super-2 number, since 2×1423414442 = 40522173360010272, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (142341443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51834 + ... + 54510.

Almost surely, 2142341444 is an apocalyptic number.

142341444 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 142341444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206655904).

142341444 is an abundant number, since it is smaller than the sum of its proper divisors (270970364).

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

142341444 is a wasteful number, since it uses less digits than its factorization.

142341444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2905 (or 2900 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 142341444 is about 11930.6933578900. The cubic root of 142341444 is about 522.1281668815.

Adding to 142341444 its reverse (444143241), we get a palindrome (586484685).

The spelling of 142341444 in words is "one hundred forty-two million, three hundred forty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 211 252 422 633 844 1266 1477 1899 2532 2677 2954 3798 4431 5354 5908 7596 8031 8862 10708 13293 16062 17724 18739 24093 26586 32124 37478 48186 53172 56217 74956 96372 112434 168651 224868 337302 564847 674604 1129694 1694541 2259388 3389082 3953929 5083623 6778164 7907858 10167246 11861787 15815716 20334492 23723574 35585361 47447148 71170722 142341444