Search a number
-
+
142313040 = 2432519101103
BaseRepresentation
bin10000111101110…
…00011001010000
3100220210020210100
420132320121100
5242413004130
622042132400
73345432552
oct1036703120
9326706710
10142313040
1173371991
123b7b1100
132363a0cc
1414c874d2
15c761c60
hex87b8650

142313040 has 240 divisors, whose sum is σ = 513002880. Its totient is φ = 35251200.

The previous prime is 142313023. The next prime is 142313053. The reversal of 142313040 is 40313241.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1381629 + ... + 1381731.

It is an arithmetic number, because the mean of its divisors is an integer number (2137512).

Almost surely, 2142313040 is an apocalyptic number.

142313040 is a gapful number since it is divisible by the number (10) 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 142313040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256501440).

142313040 is an abundant number, since it is smaller than the sum of its proper divisors (370689840).

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

142313040 is a wasteful number, since it uses less digits than its factorization.

142313040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 142313040 is about 11929.5029234248. The cubic root of 142313040 is about 522.0934346334.

Adding to 142313040 its reverse (40313241), we get a palindrome (182626281).

It can be divided in two parts, 14231 and 3040, that added together give a palindrome (17271).

The spelling of 142313040 in words is "one hundred forty-two million, three hundred thirteen thousand, forty".